equity and efficiency tradeoffs in the prevention of heart

174
Equity and Efficiency Tradeoffs in the Prevention of Heart Disease – Concepts and Evidence Gregory H. Cohen Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy under the Executive Committee of the Graduate School of Arts and Sciences COLUMBIA UNIVERSITY 2020

Upload: others

Post on 11-May-2022

2 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Equity and Efficiency Tradeoffs in the Prevention of Heart

Equity and Efficiency Tradeoffs in the Prevention of Heart Disease – Concepts and Evidence

Gregory H. Cohen

Submitted in partial fulfillment of the requirements for the degree of

Doctor of Philosophy under the Executive Committee

of the Graduate School of Arts and Sciences

COLUMBIA UNIVERSITY

2020

Page 2: Equity and Efficiency Tradeoffs in the Prevention of Heart

© 2020

Gregory H. Cohen

All Rights Reserved

Page 3: Equity and Efficiency Tradeoffs in the Prevention of Heart

Abstract

Equity and Efficiency Tradeoffs in the Prevention of Heart Disease – Concepts and Evidence

Gregory H. Cohen

Heart disease, including principally coronary heart disease (CHD) remains the top cause of

mortality in the United States among adults ages 35 and older. Disparities in CHD mortality

between socially advantaged and disadvantaged groups, such as whites and blacks have

persisted for decades. These social gaps persist despite advances in treatments, preventive

measures, and decreases in population prevalence of smoking that have done much to reduce

the burden of CHD overall. While these differences in disease burden have been well

documented, there is a poor understanding of what interventions might narrow these

differences. An equity-efficiency tradeoffs (EET) framework is a useful lens through which to

consider this problem. Tradeoffs between equity of intervention efforts and efficiency of the

returns on such efforts arise when public health interventions are deployed across groups of

unequal socioeconomic position. While such interventions may achieve overall and intra-group

improvement, this improvement may come at the expense of stable or widening inter-group

differences

Aiming to add to this literature, we took three approaches. First, we critically assessed the

literature in order to identify and summarize prior work on EETs across cardiovascular

outcomes. We aimed to identify the questions that empirical studies should answer for a given

Page 4: Equity and Efficiency Tradeoffs in the Prevention of Heart

policy, from an EET perspective. Second, recognizing both that tobacco taxation is an effective

policy intervention on CHD, and that we have little evidence from United States based studies

that it influences racial gaps in CHD we used as an example this policy intervention to examine

the treatment efficiency inherent in raising tobacco taxes from an equity lens. We conducted

an empirical study to estimate the treatment effectiveness of US tobacco taxation on smoking

and CHD mortality. Third, we simulated the equity and treatment efficiency effects of

pharmaceutical (Statins), taxation (tobacco) and early education interventions on CHD

mortality, and racial gaps in CHD mortality.

Our scoping review of EETs in cardiovascular disease (Chapter 2) yielded a very small number

of studies (n=6), that explicitly engaged equity and efficiency, and provided information on

their trade-offs in the context of CVDs. Despite a paucity of evidence, we identified 2

important lessons: (1) movement toward equity in the context of interventions on those with a

high burden of CHD risk factors may be achieved by targeting deprived populations. Second,

pairing these “high risk” with structural interventions can provide substantial movement toward

not only efficiency, but also equity. Our nationally representative observational, state-level

study of the effects of tobacco taxation on smoking prevalence and CHD mortality by race and

gender (Chapter 3) showed that between 2005 and 2016, tobacco taxes were associated with

reductions in both outcomes. The strongest reductions in smoking prevalence were observed

among black non-Hispanic women, while an increase was observed among black non-Hispanic

men. Our simulation study (Chapter 4) showed that the equity and efficiency effects of

population health interventions in the context of reducing racial disparities in CHD may vary by

Page 5: Equity and Efficiency Tradeoffs in the Prevention of Heart

gender. Among men, compared to no intervention, an education intervention was associated

with the greatest reduction in racial disparities in CHD mortality, while among women, a $3

tobacco tax intervention was associated with the greatest reduction in racial disparities in CHD

mortality. Additionally, among men, tobacco taxes were an equity lose intervention, while for

women, in contrast, tobacco taxes were nearly always a win-win intervention. Conversely,

compared to tobacco taxes, statins are in some cases a win-win intervention for men, and in all

cases a lose-lose intervention for women.

Our findings support the utility of an EET lens in the reduction of racial disparities in health,

and point to the need for more scholarship and broader integration of this lens into public

health practice. Consideration of the interplay between equity and efficiency in population

health interventions offers a deeper understanding of intervention effects than the

consideration of either dimension alone. In some cases, we need not trade equity for efficiency

in the reduction of racial inequities in health.

Page 6: Equity and Efficiency Tradeoffs in the Prevention of Heart

i

Table of Contents

List of Charts, Graphs, Illustrations .............................................................................................. iv

Chapter 1: Introduction ................................................................................................................ 1

1.1 Background ......................................................................................................................... 1

1.2 Dissertation overview .......................................................................................................... 3

1.3 References .......................................................................................................................... 5

1.4 Figures ................................................................................................................................ 6

Chapter 2: Equity Efficiency Tradeoffs in Cardiovascular Disease, A Scoping Review ................. 8

2.1 Abstract ............................................................................................................................... 8

2.2 Introduction ...................................................................................................................... 10

2.3 Methods ............................................................................................................................ 16

2.4 Results ............................................................................................................................... 18

2.5 Discussion ......................................................................................................................... 21

2.6 Conclusion ........................................................................................................................ 26

2.7 References ........................................................................................................................ 27

2.8 Figures and tables ............................................................................................................ 33

Chapter 3: An Examination of Race and Gender Specific Effects of Tobacco Taxes on Smoking

Prevalence and Coronary Heart Disease Mortality in the United States, 2005-2016 ................. 45

3.1 Abstract ............................................................................................................................. 45

3.2 Introduction ...................................................................................................................... 47

Page 7: Equity and Efficiency Tradeoffs in the Prevention of Heart

ii

3.3 Methods ............................................................................................................................ 50

3.4 Results ............................................................................................................................... 57

3.5 Discussion ......................................................................................................................... 61

3.6 Conclusion ........................................................................................................................ 65

3.7 References ........................................................................................................................ 66

3.8 Boxes, figures and tables .................................................................................................. 70

Chapter 4: A Microsimulation of Equity-Efficiency Tradeoffs in Population Health Interventions

for Coronary Heart Disease Mortality Among Black and White Americans ................................ 78

4.1 Abstract ............................................................................................................................. 78

4.2 Introduction ...................................................................................................................... 80

4.3 Methods ............................................................................................................................ 83

4.4 Results ............................................................................................................................... 89

4.5 Discussion ......................................................................................................................... 93

4.6 Conclusion ........................................................................................................................ 98

4.6 References ........................................................................................................................ 99

4.6 Figures and tables .......................................................................................................... 102

Chapter 5: Conclusion .............................................................................................................. 113

5.1 Dissertation Findings ...................................................................................................... 113

5.2 Public health policy implications and future directions .................................................. 116

Appendix 1 ............................................................................................................................... 118

Appendix 2 ............................................................................................................................... 120

Page 8: Equity and Efficiency Tradeoffs in the Prevention of Heart

iii

Appendix 3 ............................................................................................................................... 126

Appendix 4 ............................................................................................................................... 138

Page 9: Equity and Efficiency Tradeoffs in the Prevention of Heart

iv

List of Charts, Graphs, Illustrations Figure 1.1: Age-adjusted CHD Deaths per 100,000 among black, compared to white non-Hispanic men and women ages 35+: 1968-2016…………………………...……………….....…….6 Figure 2.1 - Health Equity Impact Plane……………………………………………………….……..30 Figure 2.2 - Equity Effectiveness Loop………………………………………………..………...……31 Figure 2.3 - Flowchart describing the study selection process and number of articles retrieved, included and excluded at each round of the review process……………………………………...32 Figure 3.1: Age-adjusted CHD Deaths per 100,000 among black, compared to white non-Hispanic men and women ages 35+: 2005-2016........................................................................69 Figure 3.2 – Average total tobacco taxes per pack by year: Box and whiskers plots with median and interquartile range for total federal and state taxes by year: 2005-2016, in 2016 dollars...71 Figure 3.3 – Age-adjusted national prevalence of current smoking for white non-Hispanic men and women, and black non-Hispanic men and women: Behavioral Risk Factor Surveillance System, 2005-2016......................................................................................................................72 Figure 4.1 - Equity effectiveness planes for relative changes in racial disparities in CHD mortality for (a) $2 tobacco taxes compared to statins and (b) $3 tobacco taxes compared to statins..........................................................................................................................................98 Figure 4.2 - Equity effectiveness planes for absolute changes in racial in annualized disparities in CHD mortality for (a) $2 tobacco taxes compared to statins and (b) $3 tobacco taxes compared to statins...................................................................................................................100 Appendix figure 1.1- Age-stratified CHD Deaths per 100,000 among black, compared to white non-Hispanic men and women: 1968-2016..............................................................................114 Appendix Figure 3.1 – Spaghetti plot of total combined state and federal tobacco tax by state: 2005-2016.................................................................................................................................122 Appendix Figure 3.2 - National estimates of the proportion of some college or more by year............................................................................................................................................123 Appendix Figure 3.3 – National estimates of real median per capita income by year.............124

Page 10: Equity and Efficiency Tradeoffs in the Prevention of Heart

v

Appendix Figure 3.4 – Effects of total cigarette taxes, per $1 tax, on smoking prevalence: 0 to 5-year lags.................................................................................................................................125 Appendix Figure 3.5 – Effects of total cigarette taxes, per $1 tax, on CHD Mortality: 0 to 5-year lags............................................................................................................................................126

Page 11: Equity and Efficiency Tradeoffs in the Prevention of Heart

1

Chapter 1: Introduction 1.1 Background

Heart disease, including principally coronary heart disease (CHD) remains the top cause of

mortality in the United States among adults ages 35 and older. Disparities in CHD mortality

between socially advantaged and disadvantaged groups, such as whites and blacks1 have

persisted for decades as shown in figure 1.1. These social gaps persist despite advances in

treatments, preventive measures, and decreases in population prevalence of smoking that have

done much to reduce the burden of CHD overall.1 Racial disparities in age-adjusted CHD

mortality also vary across different demographic groups. For example, racial disparities in CHD

mortality are greater among women than among men. Averaging over the period 1980

through 2016, black women had a greater burden of heart disease deaths than white women,

with an age-adjusted CHD mortality rate difference of 49 deaths per 100,000 and a mortality

rate ratio of 1.2. From 1989 through 2016, black men had a greater burden of heart disease

deaths than white men, with an age-adjusted CHD mortality rate difference of 38 deaths per

100,000 and a mortality rate ratio of 1.10.2 Indeed, black non-Hispanic men and women

experienced higher rates of CHD mortality throughout the period of 1968-2016 across most

age groups (Appendix figures 1.1a-c), while higher rates of death among those 65 and older

(Appendix figures 1.1d-f) are likely artifacts of survival bias.

While these differences in disease burden have been well documented, there is a poor

understanding of what interventions might narrow these differences. An equity-efficiency

Page 12: Equity and Efficiency Tradeoffs in the Prevention of Heart

2

tradeoffs (EET) framework is a useful lens through which to consider this problem.3,4 Tradeoffs

between equity of intervention efforts and efficiency of the returns on such efforts arise when

public health interventions are deployed across groups of unequal socioeconomic position.

While such interventions may achieve overall and intra-group improvement, this improvement

may come at the expense of stable or widening inter-group differences. Therefore, in the

context of CHD, while we have seen enormous gains in CHD-related Quality Adjusted Life

Years (QALYs) overall, there has been a trade-off in terms of continuing (and in some cases

widening) differences by race. While EETs have been robustly studied in the health economics

literature,3,4 EET studies anchored in an epidemiologic or public health perspective are limited,

and summary reviews are lacking altogether.

Challenges in assessing effectiveness and EET across different types of public health

interventions include non-exchangeable populations and limited study time horizons that

preclude our ability to compare intervention effects across populations and over time. Agent-

Based Models (ABMs) provide an effective means to simulate a variety of counterfactual

comparisons on a single population5 over extended time horizons. ABMs can be used to

explore complex systems such as disease production, and these virtual world models can

inform our ability to understand the observable world.6

Page 13: Equity and Efficiency Tradeoffs in the Prevention of Heart

3

1.2 Dissertation overview

Aiming to add to this literature, we shall take three approaches. Centrally this work seeks to

identify public health interventions that minimize equity-efficiency tradeoffs (by achieving gains

in both) and will reduce CHD mortality overall, while reducing disparities in CHD mortality

between black and white populations in the United States. If we can mechanistically

understand the conditions under which these equity-efficiency tradeoffs occur, and which

interventions have the most favorable tradeoff profiles, we may be able to narrow racial gaps in

CHD mortality while improving health for all.

Chapter 2 provides a critical assessment of the literature in order to identify and summarize

prior work in this area, summarizes and synthesizes EET conceptual frameworks for conducting

empirical studies, and provides empirical examples of EET analyses applied to CHD and other

non-communicable diseases. This approach aims to identify the questions that empirical

studies should try to answer for a given policy, from an EET perspective.

Chapter 3 presents an examination of the effects of tobacco taxation on smoking prevalence

and CHD. Recognizing both that tobacco taxation is an effective policy intervention on CHD,7

and that we have little evidence from United States based studies that it influences racial gaps

in CHD we exampled tobacco taxation as a policy intervention to examine the treatment

efficiency inherent in raising tobacco taxes from an equity lens. We conducted an empirical

study to estimate the treatment effectiveness of US tobacco taxation on smoking and CHD

Page 14: Equity and Efficiency Tradeoffs in the Prevention of Heart

4

mortality, to better understand racial differences in the efficiency of prevention efforts, and to

parameterize microsimulation policy models.

Chapter 4 presents simulations of the effects of pharmaceutical (Statins), taxation (tobacco) and

early education interventions on CHD mortality, and racial gaps in CHD mortality. We

incorporate equity as equity of outcomes across racial groups, stratified by gender, and

efficiency as YLLs averted stratified by gender alone. Using this simulation approach, we

examine the (1) equity effects of all interventions, and the (2) interplay of equity and efficiency

dimensions, by gender, for statins and taxation interventions.

Page 15: Equity and Efficiency Tradeoffs in the Prevention of Heart

5

1.3 References

1. Ford ES, Roger VL, Dunlay SM, Go AS, Rosamond WD. Challenges of Ascertaining

National Trends in the Incidence of Coronary Heart Disease in the United States. J Am

Heart Assoc. 2014;3(6):e001097-e001097. doi:10.1161/JAHA.114.001097

2. CDC. CDC WONDER. https://wonder.cdc.gov/. Accessed March 8, 2018.

3. Wagstaff A. QALYs and the equity-efficiency trade-off. J Health Econ. 1991;10(1):21-41.

doi:10.1016/0167-6296(91)90015-F

4. Culyer A., Wagstaff A. Equity and equality in health and health care. J Health Econ.

1993;12(4):431-457. doi:10.1016/0167-6296(93)90004-X

5. Marshall BDL, Galea S. Formalizing the role of agent-based modeling in causal inference

and epidemiology. Am J Epidemiol. 2015;181(2):92-99. doi:10.1093/aje/kwu274

6. Sterman JD. Learning from Evidence in a Complex World. Am J Public Health.

2006;96(3):505-514. doi:10.2105/AJPH.2005.066043

7. Fichtenberg CM, Glantz SA. Association of the California Tobacco Control Program with

Declines in Cigarette Consumption and Mortality from Heart Disease. N Engl J Med.

2000;343(24):1772-1777. doi:10.1056/NEJM200012143432406

Page 16: Equity and Efficiency Tradeoffs in the Prevention of Heart

6

1.4 Figures

Figures 1.1a-c: Age-adjusted CHD Deaths per 100,000 among black, compared to white non-Hispanic men and women ages 35+: 1968-2016; 1a - Rates; 1b – Rate Differences; 1c – Rate Ratios

0

200

400

600

800

1000

1968

1970

1972

1974

1976

1978

1980

1982

1984

1986

1988

1990

1992

1994

1996

1998

2000

2002

2004

2006

2008

2010

2012

2014

2016

Age

Adj

uste

d C

HD

Dea

ths

(per

100

,000

)

White Men

Black Men

White Women

Black Women

-140

-120

-100

-80

-60

-40

-20

0

20

40

60

80

1968

1970

1972

1974

1976

1978

1980

1982

1984

1986

1988

1990

1992

1994

1996

1998

2000

2002

2004

2006

2008

2010

2012

2014

2016

Diff

eren

ce in

Age

-Adj

uste

d C

HD

D

eath

s (p

er 1

00,0

00)

Black Men-White Men

Black Women-White Women

a

b

Page 17: Equity and Efficiency Tradeoffs in the Prevention of Heart

7

0.85

0.9

0.95

1

1.05

1.1

1.15

1.2

1.25

1.3

1968

1970

1972

1974

1976

1978

1980

1982

1984

1986

1988

1990

1992

1994

1996

1998

2000

2002

2004

2006

2008

2010

2012

2014

2016

Ratio

of A

ge-A

djus

ted

CH

D D

eath

s (p

er 1

00,0

00)

Black Men/White Men

Black Women/White Women

c

Page 18: Equity and Efficiency Tradeoffs in the Prevention of Heart

8

Chapter 2: Equity Efficiency Tradeoffs in Cardiovascular Disease, A Scoping Review

2.1 Abstract

Background: Cardiovascular diseases (CVDs), including principally heart disease and stroke,

remain top causes of morbidity and mortality in the United States and globally. While

population gains in prevention and treatment of CVDs have improved over time, disparities

between socially advantaged and disadvantaged groups persist. While much effort has been

spent on maximizing efficiency, there is a need to consider equity and equity efficiency

tradeoffs (EETs) in design and implementation of population health interventions.

Methods: In order to identify and summarize prior work in this area, we conducted a scoping

literature review of equity, efficiency and their tradeoffs in CVDs.

Results: Our search yielded only 6 studies, including 2 health services program planning

studies, and 4 simulated experimental studies. Movement toward equity in the context of high-

risk approaches to intervention may be achieved by targeting deprived populations. Pairing

structural interventions with high risk interventions can provide substantial movement toward

both efficiency and equity. No studies formally quantified EETs in CVD, but two used a

heuristic called the equity-effectiveness plane to aid interpretation.

Conclusions: This scoping review identified a small but emergent field of scientific investigation

into EETs in CVD. This paucity of extant studies precludes the drawing of any clear and

Page 19: Equity and Efficiency Tradeoffs in the Prevention of Heart

9

crosscutting conclusions about which types interventions are most likely to minimize tradeoffs

between equity and efficiency; experimental and quasi-experimental observational studies

would help strengthen our evidence base and understanding. Much work remains in the effort

to integrate considerations of equity and EETs into evaluations of population health

interventions on CVD.

Page 20: Equity and Efficiency Tradeoffs in the Prevention of Heart

10

2.2 Introduction

Cardiovascular diseases (CVDs), including principally heart disease and stroke, remain the

leading causes of morbidity and mortality in the United States1 and globally.2 Disparities in

CVD between socially advantaged and disadvantaged groups, such as rich and poor,3 and

whites and blacks4 have persisted for decades. Unfortunately, large-scale public health

interventions have often failed to close these gaps. While advances in treatments and

preventive measures have reduced the burden of CVD marginally, these gains have been

accompanied by a maintenance or widening of existing social gaps in disease occurrence.5

An Equity-efficiency tradeoffs (EET) framework is a useful conceptual framework through which

to consider the reduction of racial and other social disparities in CVDs because it explicitly

acknowledges and formalizes the consideration of equity-related value judgements in decision

making on health interventions.6,7 Centrally, tradeoffs between intervention efforts and an

equitable distribution of the returns on such efforts may arise when intervening on groups with

unequal social position, a situation that is near universal. Rationales for using the EET

framework include (1) the existence of current health inequities, (2) expected future health

inequities, or (3) the planned use of treatments that have differential effectiveness across equity

dimensions. While this framework can provide policy makers with actionable information on

how candidate interventions may fare in relation to equity and efficiency, there is little evidence

to suggest it is being formally implemented.

Page 21: Equity and Efficiency Tradeoffs in the Prevention of Heart

11

The goal of this review is to provide a rigorous primer on EETs in the context of CVDs for

epidemiologists, as an overall framework to integrate the large – but fragmented -- literature

on health disparities in CVD, and provide a way forward to think about health disparities from a

policy/intervention perspective, and to think about what policies and policy-features should be

embraced depending on society’s preferences for (in)equality. This article will provide some

broad definitions of equity, efficiency and EETs, before moving to a literature review and

summary of findings on equity, efficiency and EETs in CVD.

Equity

Health inequities are conceptualized in a number of ways and that phrase is often used

interchangeably with health inequalities and health disparities. The World Health Organization8

defines health inequities as “systematic differences in the health status of different population

groups,” noting that “these inequities have significant social and economic costs both to

individuals and societies.” According to the Centers for Disease Control and Prevention’s

National Center for Chronic Disease Prevention and Health Promotion,9 “Health equity is

achieved when every person has the opportunity to ‘attain his or her full health potential’ and

no one is ‘disadvantaged from achieving this potential because of social position or other

socially determined circumstances.’ Health inequities are reflected in differences in length of

life; quality of life; rates of disease, disability, and death; severity of disease; and access to

treatment.” Yet another definition is provided by Braverman,10 who states that “Health

disparities/inequalities are potentially avoidable differences in health (or in health risks that

policy can influence) between groups of people who are more and less advantaged socially,”

Page 22: Equity and Efficiency Tradeoffs in the Prevention of Heart

12

Overall, whereas inequalities implies a value-free difference in outcomes, inequities implies an

avoidable difference in outcomes that is based on social position.

Equity has several formal definitions in the economics literature, including equity of health care

utilization, distribution of health care according to need, equity of health care access, and

equity of health outcomes.7,11 In outlining these concepts, I will refer to two hypothetical US

adult populations – those in population A have an annual income above the poverty line, while

those in population B have an annual income below the poverty line. Equity of health care

utilization suggests that populations A and B access cardiovascular care at the same rates.

Distribution of health care according to need includes two notions of equity, horizontal and

vertical. Horizontal equity suggests that if populations A and B have the same cardiovascular

health needs, then they should receive the same measure of health care, while vertical equity

suggests that if population B has greater cardiovascular health care needs than population A,

than they should receive more care. Equity of health care access suggests that both groups A

and B should have the same access to cardiovascular health care services (i.e., quantity and

kind). Equity of health suggests that an equitable distribution of cardiovascular care across

populations A and B is one that would give rise to equivalent health states among those

populations. Regarding interventions, equity of health can be thought of as equity of

outcomes, or equal health benefits of a hypothetical intervention (e.g., statin therapy) across

populations A and B.11,12

Efficiency

Page 23: Equity and Efficiency Tradeoffs in the Prevention of Heart

13

From an economics perspective, efficiency can be defined as getting the maximum output

from a fixed input.13,14 In terms of health, efficiency can be defined in terms of treatment

effectiveness, and maximization of quality of life, and time spent free of disability. Generally,

these notions of efficiency are agnostic to the distributional features of a particular intervention.

Efficiency is commonly represented in the form of Quality Adjusted Life Years (QALYs) or

Disability Adjusted Life Years (DALYs) per dollar spent, but may simply be represented in

QALYs or DALYs gained. QALYs allow the estimation of the number of years of life gained due

to an intervention, adjusted for the quality of those years. In contrast, DALYs allow us to

estimate number of years of life lost to disability, conditional on a particular intervention, in

terms of years of life lost to early death and years lived with disability. DALYs and QALYs have

the advantage of incorporating both morbidity and mortality, relative to treatment

effectiveness measures that examine either morbidity or mortality.

Equity Efficiency Tradeoffs

EETs formally originated in economics, and have also been studied from the perspectives of

cost-effectiveness and public health. The concept of EETs was formalized in economics at least

as early as 1975,15 and was then formally linked to health in the 1990s with a pair of

foundational economics papers.6,7 The first paper argued that the goal of health maximization –

i.e. a focus purely on maximizing a community’s sum of QALYs, could be at odds with concerns

about inequality in health, since such an approach would result in resources being deployed

away from those who have lower capacity to benefit (i.e. the elderly), or who may need more

care to achieve a QALY;6 in this way, health maximization is more about efficiency than equity,

Page 24: Equity and Efficiency Tradeoffs in the Prevention of Heart

14

whereas equity is more about the distribution rather than sum of QALYs. The second paper

described and compared the above four definitions of equity - equality of health care

utilization, distribution of health care according to need, equality of health care access, and

equality of health.7 Overall, Culyer and Wagstaff suggest that equality of health should be our

goal, because differences in health-care use and health behaviors do not justify differences in

health across social groups.6,7 On the other hand, equality of health can lead to reductio ad

absurdum arguments for devoting all of society’s resources to one person whose health can be

marginally improved. An EET framework acknowledges that while the best policies are efficient

and equitable, there is often a trade-of between equity and efficiency, and understanding the

effectiveness of policies with respect to both is critical in order for society to meet its goals with

respect to prioritizing health investments.

The cost-effectiveness literature, which evaluates the return on a set of health outcomes per

dollar amount invested across 2 or more interventions, has recently sought to integrate explicit

considerations of equity into its analyses.12,16,17 One approach has been the development of

multi-criteria frameworks and checklists that can be used for decision analysis.11,12 Similarly,

others have proposed equity impact analyses that stratify cost inputs and health outcomes by

equity relevant dimensions.16 Another approach is through the use of equity weights and social

welfare functions that differentially weight QALYs according to a set of equity

considerations,6,12,18 accounting for both equity and efficiency considerations simultaneously.

The health equity impact plane (see figure 2.1) provides a concise heuristic framework that ties

Page 25: Equity and Efficiency Tradeoffs in the Prevention of Heart

15

together cost-effectiveness and net health equity impacts of a candidate intervention

compared to a reference intervention.16

The public health literature has focused on how and whether given interventions on a particular

outcome affect the equity of outcomes across groups of unequal position, and typically do not

address matters of treatment efficiency. In particular, the concept of Intervention Generated

Inequalities19 has been advanced, and studies have shown that certain types of interventions

tend to increase inequalities (e.g. media campaigns), while other types of interventions appear

to decrease inequalities in health (e.g. tobacco pricing). The Equity Effectiveness Loop (see

Figure 2.2) is a heuristic framework that aims to emulate the tools of clinical epidemiology, by

focusing on effect modification of a given intervention effect across a given equity dimension.20

Others have focused on methods of decomposition that estimate the effects of equalization by

race of an intervention target (e.g. education level) on a racial disparity in a given health

outcome, while preserving the race-specific relationships between confounders of the

intervention target and outcome.21 While the Equity Effectiveness Loop incorporates cost-

effectiveness, studies from the public health literature generally do not explicitly address

efficiency in terms of standard cost effectiveness analyses (e.g. DALYs averted per a fixed dollar

amount invested) or compare outcomes across more than 1 intervention, in contrast to cost-

effectiveness studies.

Page 26: Equity and Efficiency Tradeoffs in the Prevention of Heart

16

2.3 Methods

Literature Review

In order to identify and summarize prior work in this area, we conducted a scoping literature

review22 of equity, efficiency and their tradeoffs in cardiovascular diseases. This literature review

was aimed at answering three specific questions: (1) How are EETs empirically defined and

studied in the context of cardiovascular diseases? (2) What types of interventions on CVDs are

on the equity-efficiency frontier? (3) What types of interventions on CVDs provide movement

towards efficiency, and what types provide movement towards equity?

Search Strategy. We conducted a search spanning from 1975 to present of PubMed, Web of

Science, Embase, Buisness Source Complete and EconLit using terms outlined in appendix

table 2.1. The start of this time frame was chosen to coincide with the publication of the

seminal economics book, Equality and Efficiency: The Big Trade-off.15 This time frame also

starts over fifteen years prior to the publication of a key paper by Wagstaff that was the first to

formalize the notion of equity-efficiency tradeoffs within health and health care.6 Studies that

were identified in the search were cataloged in and de-duplicated using Zotero,23 a reference

manager. This review included any articles, conceptual or empirical, that concern EET in CVDs.

As shown in figure 2.3, we identified 1192 studies from PubMed (n=217), Embase (n=663),

Web of Science (n=276), Business Source Complete (n=20) and EconLit (n=16). After excluding

314 duplicates, a total of 878 unique studies were retrieved in our search, and screened for

Page 27: Equity and Efficiency Tradeoffs in the Prevention of Heart

17

eligibility, with 860 articles excluded after title review, and 12 excluded after manuscript

review, with a total of 6 identified studies remaining.

Page 28: Equity and Efficiency Tradeoffs in the Prevention of Heart

18

2.4 Results

Our search yielded 6 studies that we split into 2 sets – health services planning studies,24,25 and

experimental studies.26–29

Table 2.1 summarizes the contributions of health services planning studies.24,25 Banham and

colleagues24 propose and concretize the application of an equity effectiveness framework

called the equity-effectiveness loop (figure 2.1) to the prevention of CHD in primary care, in a

way that is both equitable across socioeconomic status and effective, within a closed health

care system in South Australia. Plans-Rubio25 similarly worked through technical procedures for

allocating pharmaceutical resources within the public health service in Catalonia, Spain (1)

according to cost-effectiveness alone and (2) according to cost-effectiveness and equity,

projecting that the strategy based on efficiency and equity would able to save resources while

maximizing equity.

Tables 2.2 and 2.3 summarize the results of experimental studies that examine EETs in CVD.26–

29 All of the identified experimental studies were simulations. Allen and colleagues26 examined

the efficiency (CHD-related QALY gains, Net costs), and equity (absolute inequality in CHD

deaths between the least and most deprived quintiles) of policies to reduce trans-fatty acid

intake among adults 25 and older in England; they found that a total ban on transfatty acids

maximized equity and efficiency, relative to improved labelling in processed foods and a ban

on transfats in restaurant and take-out food.

Page 29: Equity and Efficiency Tradeoffs in the Prevention of Heart

19

Collins and colleagues27 examined the efficiency (CVD and diabetes-related QALYs, Median

Net Costs, Median ICER), and equity (Slope index of inequality in QALYs) of variations on CVD

screening approaches including the current National Health Service (NHS) CVD screening and

treatment approach, the current approach with enhanced coverage and uptake, and a version

of the current NHS approach with enhanced targeting of the most socioeconomically deprived.

They found the NHS checks targeted to the most deprived fifth of the population appear to be

most likely to be effective and equitable, resulting in a win-win intervention.

Kypridemos and colleagues28 simulated the future equity (Reduction in absolute and relative

socioeconomic health inequalities) and efficiency (CVD cases prevented or postponed, net

QALYs gained, cumulative ICER) of variations on implementation of the UK’s NHS Health

Check – a high-risk approach that screens individuals for CVD risk and intervenes on identified

risk factors. They compared UK’s NHS Health Check alone to 4 other scenarios (1) an optimal

implementation (enhanced coverage and uptake) of the NHS health check, (2) NHS health

check plus targeting to most socioeconomically deprived population quintiles, (3) NHS health

check plus structural interventions (reduction of tobacco use and increase in fruit and vegetable

consumption), and (4) targeted NHS health check plus structural interventions. Overall, they

found that current NHS screening is neither efficient nor equitable; optimal screening is

efficient but not equitable, while targeted screening is both. Adding structural policies

substantially improved equity and efficiency compared to the other scenarios.

Page 30: Equity and Efficiency Tradeoffs in the Prevention of Heart

20

Marchant and colleagues29 examined equity (Proportion of benefit – [Life Years Gained/Years of

Potential Life Lost]), and efficiency (Number Needed to Treat to gain a life year) of initiation of

blood pressure lowering medication using an approach called Proportional Benefit, that seeks

to distribute relative treatment gains proportionally by gender and age, compared to the 2007

and 2013 European Society of Cardiology/European Society of Hypertension blood pressure

screening and treatment guidelines. They found that the proportional benefit approach traded

off efficiency for equity compared to 2007 guidelines, but was a win-win compared to the 2013

guidelines.

Page 31: Equity and Efficiency Tradeoffs in the Prevention of Heart

21

2.5 Discussion

This scoping review of EETs in cardiovascular disease yielded a very small number of studies –

only 6, that have explicitly engaged equity and efficiency, and provided information on their

trade-offs. This paucity of extant studies precludes the drawing of any clear and crosscutting

conclusions about which types interventions are most likely to minimize tradeoffs between

equity and efficiency. Nonetheless, the empirical studies we identified demonstrated 2

important lessons. First, movement toward equity in the context of high-risk interventions may

be achieved by specially targeting deprived populations.27 Second, pairing structural

interventions with high risk interventions can provide substantial movement toward not only

efficiency, but also equity.28

The health services program planning studies showed that health interventions on CVDs can be

effectively designed with considerations to maximizing both equity and efficiency, utilizing

heuristics like the equity-effectiveness loop20,24 (figure 2.2) and a 2-step process for choosing

interventions by ranking interventions first in terms of efficiency and second in terms of equity

(i.e. proportional-benefit).25 Additionally 2 of the studies26,27 we reviewed utilized the health

equity impact plane16 heuristic to aid the display and interpretation of their results.

This is the first study of which we are aware that brings together literature on EETs in treatment

and prevention of CVDs. This review identifies few studies that have explicitly looked at EETs in

CVDs, but suggests that strategies to maximize both equity and efficiency are being

Page 32: Equity and Efficiency Tradeoffs in the Prevention of Heart

22

implemented in the design of health systems and tested in the context of simulations.

Additionally, this review suggests that all extant empirical studies of EETs in CVD are

simulations rather than observational studies. This experimental simulation literature is

dominated by studies using the IMPACT CVD model,26–28 which is focused on equity of

outcome across strata of multiple social deprivation, and represents a novel examination of

equity in the context of a well-validated UK CVD prediction model. Indeed, all of the

experimental studies were based in Europe. Finally, while one study examined equity of

proportional benefit by strata of age and gender,29 no studies examined equity along

dimensions of race or ethnicity.

Two commentaries that did not meet criteria for inclusion in our review, because they did not

provide information on EETs or efficiency, are nonetheless worth mentioning and echo our

findings. A commentary by Capewell30 and colleagues expressed the need to prioritize equity

in evaluating the effects of large-scale UK CVD prevention efforts, noting that whereas high risk

approaches tend to widen socioeconomic inequities in health, hybrid approaches that include

high-risk approaches specially targeted to the most deprived groups, and population

approaches may provide movement towards equity. Smith and colleagues31 commented on

the unique opportunities provided by simulations in the study of health inequities in the effects

of population health interventions, using as an example for illustration, the case of reducing

socioeconomic inequities in CHD by intervening on tobacco use. Noting that simulations have

many advantages to traditional studies in terms of flexibility, feasibility and the ability to

estimate the effects of multiple types of interventions and counterfactual contrasts, they also

Page 33: Equity and Efficiency Tradeoffs in the Prevention of Heart

23

note that simulations are limited by modelling assumptions and simplifications of complex

processes. One particular challenge they note is accurate estimation of health risk and

intervention effects across subpopulations of greater and lesser socioeconomic deprivation.31

Nonetheless, they point out that sensitivity analyses can be performed to test the limits of

model assumptions. Critically, they also note that simulations offer the opportunity to bridge

the gap between extant data on how to reduce inequalities and the future needs to implement

equitable CHD prevention.

While EETs are generally conceptualized in the context of one intervention compared to

another, our results demonstrate that this framework is also useful for comparing the effect of

multiple or compound interventions, or for comparing the effect of 1 or more interventions to

no intervention. The particular uses and usefulness of the EET framework depend on the

resources and needs of a given policy environment.

Notably absent from the results our search yielded were articles from the disparities and social

epidemiology literatures, primarily because those articles focus on the equity dimension alone.

Notably, the disparities literature32,33 includes work that brings a focus to racial34,35 and

economic36 inequities. Within public health literature more broadly, the concept of Intervention

Generated Inequalities37 has been advanced, and studies have shown that certain types of

interventions tend to increase inequalities (e.g. media campaigns), while other types of

interventions appear to decrease inequalities in health (e.g. tobacco pricing). In the context of

racial and economic inequities, racism and poverty may be considered respectively

Page 34: Equity and Efficiency Tradeoffs in the Prevention of Heart

24

fundamental causes of disease – factors that index opportunities for social and material

resources, and put more deprived populations at higher downstream risks of disease.38, 39

Literature within social epidemiology places a focus on causal approaches to understanding

health inequities. Jackson40 uses decomposition methods to estimate the effects of

equalization by race of an intervention target (e.g. education) on a racial disparity in a given

health outcome (e.g. CHD), while preserving the race-specific relationships between

confounders of the intervention target and outcome. Harper gives a nice general overview of

measurement and decomposition of health inequities.41 Others have focused on a systematic

rubric to assessing disparities by focusing on group differences in outcome prevalence,

exposure prevalence and effect size.42

One question not addressed in the identified studies is the appropriateness of absolute vs.

relative measures of disease occurrence. While the choice of models may depend on data

form.43,44 it is likely best to report both relative and absolute measures. Consider for example

that with a fixed absolute difference, that as rates go down overall, which is indeed the case

with secular trends in cardiovascular disease, that relative differences will increase. Additionally,

small relative differences may mask large absolute differences.

Taken together, the findings of our review suggest several directions for future research. First,

and foremost the paucity of studies yielded by our review suggests the need for a great deal of

additional scientific work in the efforts to understand population health intervention strategies

Page 35: Equity and Efficiency Tradeoffs in the Prevention of Heart

25

that optimally maximize equity and efficiency in CVDs. Second, the field would benefit from

explicit formulations of EETs. One great example of a relatively straight-forward heuristic is

provided by Cookson and colleagues16 in their Health Equity Impact Plane (figure 2.1). Third as

most of the extant studies on EETs in CVD rely on simulations, it is important that their

assumptions are robust, and their findings validated and confirmed with observational data,

including experimental and quasi-experimental policy studies.45 Fourth, future research could

productively give more focus to non-healthcare-based interventions alone, a feature present in

only one26 of our six identified studies. Fifth, the field would benefit from the examination of

racial and ethnic inequities in health and health care. Sixth, all of the studies defined equity in

terms of equity of outcomes, and not in terms of equity of health care utilization, distribution of

health care according to need, equity of health care access, aspects of equity that also deserve

to be explored in concert with equity of health outcomes. Examining these other aspects of

equity may help us identify the main drivers of equity of outcomes. Seventh, all of the studies

identified in our review were from either Europe or Australia, and the incorporation of studies

on EETs from other parts of the world would further and expand our understanding.

Page 36: Equity and Efficiency Tradeoffs in the Prevention of Heart

26

2.6 Conclusion

This scoping review identified a small but emergent field of scientific investigation into EETs in

CVD. All identified empirical studies were simulations, and future research could benefit the

field by providing experimental and quasi-experimental observational data. Much work remains

in the effort to integrate considerations of equity and EETs into evaluations of population

health interventions on CVD.

Page 37: Equity and Efficiency Tradeoffs in the Prevention of Heart

27

2.7 References

1. Garcia MC, Rossen LM, Bastian B, et al. Potentially Excess Deaths from the Five Leading

Causes of Death in Metropolitan and Nonmetropolitan Counties - United States, 2010-

2017. MMWR Surveill Summ. 2019. doi:10.15585/mmwr.ss6810a1

2. Naghavi M, Abajobir AA, Abbafati C, et al. Global, regional, and national age-sex

specifc mortality for 264 causes of death, 1980-2016: A systematic analysis for the

Global Burden of Disease Study 2016. Lancet. 2017. doi:10.1016/S0140-6736(17)32152-

9

3. Havranek EP, Mujahid MS, Barr DA, et al. Social Determinants of Risk and Outcomes for

Cardiovascular Disease. Circulation. 2015;132(9).

4. Ford ES, Roger VL, Dunlay SM, Go AS, Rosamond WD. Challenges of Ascertaining

National Trends in the Incidence of Coronary Heart Disease in the United States. J Am

Heart Assoc. 2014;3(6):e001097-e001097. doi:10.1161/JAHA.114.001097

5. Phelan JC, Link BG. Controlling Disease and Creating Disparities: A Fundamental Cause

Perspective. Journals Gerontol Ser B Psychol Sci Soc Sci. 2005;60(Special Issue 2):S27-

S33. doi:10.1093/geronb/60.Special_Issue_2.S27

6. Wagstaff A. QALYs and the equity-efficiency trade-off. J Health Econ. 1991;10(1):21-41.

doi:10.1016/0167-6296(91)90015-F

7. Culyer A., Wagstaff A. Equity and equality in health and health care. J Health Econ.

1993;12(4):431-457. doi:10.1016/0167-6296(93)90004-X

8. World Health Organization. 10 facts on health inequities and their causes. WHO.

Page 38: Equity and Efficiency Tradeoffs in the Prevention of Heart

28

http://www.who.int/features/factfiles/health_inequities/en/. Published 2017. Accessed

October 21, 2018.

9. Prevention C for DC and. CDC National Center for Chronic Disease Prevention and

Health Promotion. https://www.cdc.gov/chronicdisease/healthequity/index.htm.

Accessed October 21, 2018.

10. Braveman P. HEALTH DISPARITIES AND HEALTH EQUITY: Concepts and Measurement.

Annu Rev Public Health. 2006. doi:10.1146/annurev.publhealth.27.021405.102103

11. Culyer AJ, Bombard Y. An equity framework for health technology assessments. Med

Decis Making. 2012;32(3):428-441. doi:10.1177/0272989X11426484

12. Johri M, Norheim OF. Can cost-effectiveness analysis integrate concerns for equity?

Systematic review. Int J Technol Assess Health Care. 2012.

doi:10.1017/S0266462312000050

13. Palmer S, Torgerson DJ. Economics notes: Definitions of efficiency. BMJ. 1999.

doi:10.1136/bmj.318.7191.1136

14. Hollingsworth B. The measurement of efficiency and productivity of health care delivery.

Health Econ. 2008. doi:10.1002/hec.1391

15. Okun AM. Equality and Efficiency: The Big Tradeoff.; 1975.

16. Cookson R, Mirelman AJ, Griffin S, et al. Using Cost-Effectiveness Analysis to Address

Health Equity Concerns. Value Heal. 2017;20(2):206-212. doi:10.1016/j.jval.2016.11.027

17. Lal A, Moodie M, Peeters A, Carter R. Inclusion of equity in economic analyses of public

health policies: systematic review and future directions. Aust N Z J Public Health. 2018.

doi:10.1111/1753-6405.12709

Page 39: Equity and Efficiency Tradeoffs in the Prevention of Heart

29

18. Bleichrodt H, Diecidue E, Quiggin J. Equity weights in the allocation of health care: The

rank-dependent QALY model. J Health Econ. 2004. doi:10.1016/j.jhealeco.2003.08.002

19. Lorenc T, Petticrew M, Welch V, Tugwell P. What types of interventions generate

inequalities? Evidence from systematic reviews: Table 1. J Epidemiol Community Health.

2013;67(2):190-193. doi:10.1136/jech-2012-201257

20. Tugwell P, De Savigny D, Hawker G, Robinson V. Applying clinical epidemiological

methods to health equity: The equity effectiveness loop. Br Med J. 2006.

doi:10.1136/bmj.332.7537.358

21. Jackson JW, VanderWeele TJ. Decomposition Analysis to Identify Intervention Targets

for Reducing Disparities. Epidemiology. 2018. doi:10.1097/EDE.0000000000000901

22. Colquhoun HL, Levac D, O’Brien KK, et al. Scoping reviews: Time for clarity in definition,

methods, and reporting. J Clin Epidemiol. 2014. doi:10.1016/j.jclinepi.2014.03.013

23. Center for History and New Media. Zotero. 2020.

24. Banham D, Lynch J, Karnon J, D. B, J. L, J. K. An equity-Effectiveness framework linking

health programs and healthy life expectancy. Aust J Prim Health. 2011;17(4):309-319.

doi:10.1071/PY11034

25. Plans-Rubio P. Management of pharmaceutical resources for the primary prevention of

coronary heart disease in Catalonia (Spain) based on efficiency and equity. Dis Manag

Heal OUTCOMES. 2001;9(9):495-506. doi:10.2165/00115677-200109090-00004

26. Allen K, Pearson-Stuttard J, Hooton W, Diggle P, Capewell S, O’Flaherty M. Potential of

trans fats policies to reduce socioeconomic inequalities in mortality from coronary heart

disease in England: cost effectiveness modelling study. BMJ. 2015;351:h4583.

Page 40: Equity and Efficiency Tradeoffs in the Prevention of Heart

30

doi:10.1136/bmj.h4583

27. Collins B, Kypridemos C, Cookson R, et al. Universal or targeted cardiovascular

screening? Modelling study using a sector-specific distributional cost effectiveness

analysis. Prev Med (Baltim). 2020;130:105879. doi:10.1016/j.ypmed.2019.105879

28. Kypridemos C, Collins B, McHale P, et al. Future cost-effectiveness and equity of the

NHS Health Check cardiovascular disease prevention programme: Microsimulation

modelling using data from Liverpool, UK. PLoS Med. 2018.

doi:10.1371/journal.pmed.1002573

29. Marchant I, Boissel J-P, Nony P, Gueyffier F. High Risk versus Proportional Benefit:

Modelling Equitable Strategies in Cardiovascular Prevention. PLoS One.

2015;10(11):e0140793. doi:10.1371/journal.pone.0140793

30. Capewell S, Graham H. Will cardiovascular disease prevention widen health inequalities?

PLoS Med. 2010;7(8). doi:10.1371/journal.pmed.1000320

31. Smith BT, Smith PM, Harper S, Manuel DG, Mustard CA. Reducing social inequalities in

health: The role of simulation modelling in chronic disease epidemiology to evaluate the

impact of population health interventions. J Epidemiol Community Health. 2014.

doi:10.1136/jech-2013-202756

32. Braveman P. Health Disparities And Health Equity: Concepts and Measurement. Annu

Rev Public Health. 2006. doi:10.1146/annurev.publhealth.27.021405.102103

33. Adler NE, Cutler DM, University H, Fielding JE. Addressing Social Determinants of

Health and Health Disparities A Vital Direction for Health and Health Care About the

Vital Directions for Health and Health Care Series. 2016. https://nam.edu/wp-

Page 41: Equity and Efficiency Tradeoffs in the Prevention of Heart

31

content/uploads/2016/09/Addressing-Social-Determinants-of-Health-and-Health-

Disparities.pdf. Accessed May 6, 2018.

34. Williams DR, Jackson PB. Social sources of racial disparities in health. Health Aff

(Millwood). 2005;24(2):325-334. doi:10.1377/hlthaff.24.2.325

35. Williams DR. Race, socioeconomic status, and health the added effects of racism and

discrimination. In: Annals of the New York Academy of Sciences. ; 1999.

doi:10.1111/j.1749-6632.1999.tb08114.x

36. Adler NE, Newman K. Socioeconomic disparities in health: Pathways and policies. Health

Aff. 2002. doi:10.1377/hlthaff.21.2.60

37. Lorenc T, Petticrew M, Welch V, Tugwell P. What types of interventions generate

inequalities? Evidence from systematic reviews: Table 1. J Epidemiol Community Health.

2013;67(2):190-193. doi:10.1136/jech-2012-201257

38. Link BG, Phelan J. Social Conditions As Fundamental Causes of Disease. J Health Soc

Behav. 1995;35:80. doi:10.2307/2626958

39. Phelan JC, Link BG. Is Racism a Fundamental Cause of Inequalities in Health? Annu Rev

Sociol. 2015. doi:10.1146/annurev-soc-073014-112305

40. Jackson JW, VanderWeele TJ. Decomposition Analysis to Identify Intervention Targets

for Reducing Disparities. Epidemiology. 2018. doi:10.1097/EDE.0000000000000901

41. Harper S, Lynch J. Health Inequalities: Measurement and Decomposition. In: Oakes JM,

Kaufman JS, eds. Methods in Social Epidemiology. Jossey-Bass; 2017:91-131.

42. Ward JB, Gartner DR, Keyes KM, Fliss MD, McClure ES, Robinson WR. How do we

assess a racial disparity in health? Distribution, interaction, and interpretation in

Page 42: Equity and Efficiency Tradeoffs in the Prevention of Heart

32

epidemiological studies. Ann Epidemiol. 2019. doi:10.1016/j.annepidem.2018.09.007

43. Spiegelman D, Khudyakov P, Wang M, Vanderweele TJ. Evaluating public health

interventions: 7. Let the subject matter choose the effect measure: Ratio, difference, or

something else entirely. Am J Public Health. 2018. doi:10.2105/AJPH.2017.304105

44. Spiegelman D, VanderWeele TJ. Evaluating public health interventions: 6. Modeling

ratios or differences? let the data tell us. Am J Public Health. 2017.

doi:10.2105/AJPH.2017.303810

45. Greenland S. Epidemiologic measures and policy formulation: Lessons from potential

outcomes. Emerg Themes Epidemiol. 2005;2. doi:10.1186/1742-7622-2-5

Page 43: Equity and Efficiency Tradeoffs in the Prevention of Heart

33

2.8 Figures and tables

Figure 2.1 - Health Equity Impact Plane. Adapted from Cookson R, Mirelman AJ, Griffin S, et al. Using Cost-Effectiveness Analysis to Address Health Equity Concerns. Value Heal. 2017.

Page 44: Equity and Efficiency Tradeoffs in the Prevention of Heart

34

Figure 2.2 - Equity Effectiveness Loop, adapted from Tugwell et al. Applying clinical epidemiological methods to health equity: The equity effectiveness loop. Br Med J. 2006.

Page 45: Equity and Efficiency Tradeoffs in the Prevention of Heart

35

Figure 2.3 - Flowchart describing the study selection process and number of articles retrieved, included and excluded at each round of the review process.

Page 46: Equity and Efficiency Tradeoffs in the Prevention of Heart

36

Table 2.1 – Health Services Program Planning Studies: Background, methods and findings

Study Author and Publication Year

Article Context and Purpose Article Findings/Conclusion

Banham (2011)24 This article is concerned with applying a framework that accounts for both efficiency and equity to a CHD prevention program based in primary care in South Australia. They apply an Equity Effectiveness Loop Framework first developed by Tugwell20 and colleagues as displayed in figure 2.1.

Health services and programs can be optimized and tailored to improve population health in ways that are both effective and equitable, using health utility and health expectancy measures. The environment of linked and shared data within South Australia health systems offered an ideal opportunity to enact the recursive process entailed within the Equity Effectiveness loop framework.

Plans-Rubio (2001)25 Set out to develop a procedure for primary prevention of CHD that allocates pharmaceutical resources based on principles of efficiency and equity. The context was the Public Health Service in Catalonia, Spain.

They contrasted two different approaches to allocating resources – one focused on cost-effectiveness alone, and one that focused on cost-effectiveness in the first step and then a minimization of inequalities in health in the second step. They found that based on cost-effectiveness alone, drug therapies should be allocated in the following order: smoking cessation, hypertension, hypercholesterolemia; an approach based on cost-effectiveness and equity would prioritize the drug therapies in the following ordering: hypertension, hypercholesterolemia and smoking cessation. The strategy based on efficiency and equity may reduce the amount of resources needed by between 26%-47%, while maximizing equity.

Page 47: Equity and Efficiency Tradeoffs in the Prevention of Heart

37

Table 2.2 – Identified Experimental Studies: Study background, outcome and interventions

Study Author and Publication Year

Context and Purpose CVD Outcome Interventions

Allen (2015)26

Examined the health, equity and cost-effectiveness of policies to reduce trans-fatty acid intake among adults 25 and older in England.

§ Deaths from coronary heart disease prevented or postponed

1. Total ban on transfatty acids in processed foods

2. Improved labelling of tranfatty acids in processed foods

3. Ban on transfatty acids in restaurants

4. Ban on transfatty acids in take-out Collins (2020)27

Examined the health, equity and cost effectiveness of variations on CVD screening approaches, incorporating health opportunity costs.

§ CVD and diabetes-related QALYs 1. NHS Health Checks 2. NHS Health Checks + enhanced

coverage and uptake 3. Targeted NHS Health Checks,

including particular targeting of the most socioeconomically deprived

§ Examined under differing

opportunity costs: (a) £13000 per QALY health production cost, and (b) hybrid health production cost (£2000 for Public Health and £13000 for NHS medical spend)

Kypridemos (2018)28

Simulated the future cost effectiveness and equity of the UK’s National Health Service (NHS) Health Check alone, which is a high-risk approach that screens individuals for CVD risk and

§ CVD cases prevented or postponed

§ Net QALYs gained

1. Current - NHS Health Checks 2. Targeted Current - NHS Health

Checks, including particular targeting of the most socioeconomically deprived

Page 48: Equity and Efficiency Tradeoffs in the Prevention of Heart

38

intervenes on identified risk factors, compared to an optimal implementation of the NHS health check, NHS health check plus targeting to most deprived population quintile plus a set of structural interventions that reduced tobacco use through regulation and increased fruit and vegetable consumption.

3. Optimal Current - NHS Health Checks + enhanced coverage and uptake (optimal)

4. Current + Structural interventions 5. Targeted Current + Structural

interventions

Marchant (2015)29

Study examined initiation of blood pressure lowering medication using an approach called Proportional Benefit, that seeks to distribute relative treatment gains proportionally by gender and age, compared to more standard high-risk strategies.

§ Relative life-year gain (life-years gained-to-years of potential life lost ratio)

§ Number Needed to Treat (NNT) to gain a life-year

1. High-Risk strategy 1 – 2007 European Society of Cardiology / European Society of Hypertension blood pressure screening and treatment guidelines – treatment of those with greater than or equal to 160/100 mm/HG have to be prescribed blood pressure lowering medication.

2. High-Risk strategy 2 – 2013 European Society of Cardiology / European Society of Hypertension blood pressure screening and treatment guidelines – same as 2007 guidelines, but excludes treatment of those with high normal blood pressure, considers grade 1 hypertension and low risk individuals as eligible for treatment, and recommends treatment of elderly patients only when systolic blood pressure is >

Page 49: Equity and Efficiency Tradeoffs in the Prevention of Heart

39

160 mm/HG, although it can be considered in the 140-159 mm/HG range.

3. Proportional Benefit approach – “We designed the Proportional Benefit strategy as an alternative approach to select the individuals eligible to BP-lowering drugs treatment while attaining at least the same overall benefit in terms of life-years gained as with the 2007 European guideline application. This benefit was distributed proportionally, i.e. with the same ratio of number of fatal CVD events to prevent over the expected number of fatal CVD incident events across the different categories of individuals. The desired number of events prevented was used as a constraint to adjust the risk thresholds within each category of individuals in order to indicate BP-lowering drugs to the mild hypertensives with the highest risk compared to their peers.”

Page 50: Equity and Efficiency Tradeoffs in the Prevention of Heart

40

Table 2.3 – Identified Experimental Studies: Operational measure and findings

Study Author and Publication Year

Equity Efficiency Equity Efficiency Tradeoffs

Allen (2015)26 Measure: Absolute inequality in CHD deaths between the least and most deprived quintiles. § Total ban: reduced absolute

inequality in CHD mortality by 3000 deaths (15%)

§ Improved labelling: reduced absolute inequality by 700 (3.4%) to 1500 (7%)

§ Ban in restaurants: reduced absolute inequality by 700 (1.1%)

§ Ban on take-out (fast food): reduced absolute inequality by 1200 (5.9%) deaths

Measure: Gain in QALYs § Total ban: 7900 § Improved labelling: 2400-4000 § Ban in restaurants: 2100 § Ban on take-out (fast food): 3000 Measure: Net Costs (in £ millions) § Total ban: -64.1 to -246.1 § Improved labelling: -2.8 to -114.8 § Ban in restaurants: 0 to -47.4 § Ban on take-out (fast food): -12.5

to -75.1

Measure: No explicit formulation Findings: A total ban on transfatty acids maximized equity and efficiency, relative to other interventions they tested.

Collins (2020)27 Measure: Slope index of inequality in QALYs, comparing across quintiles of multiple deprivation index £13000 per QALY health production cost § NHS Health Checks: -6.463 § Enhanced NHS Health Checks:

+0.431 § Targeted NHS Health Checks:

+11.787

Measure: Net QALYs [median net health benefit (QALYs per 100,000 person years, unadjusted for deprivation]: £13000 per QALY health production cost § NHS Health Checks: -0.493 § Enhanced NHS Health Checks:

+0.226 § Targeted NHS Health Checks:

+4.476

Measure: No explicit measure Findings: Overall, the NHS checks targeted to the most deprived fifth of the population appear to be most likely to be effective and equitable, resulting in a win-win intervention.

Page 51: Equity and Efficiency Tradeoffs in the Prevention of Heart

41

Hybrid Health Production Costs § NHS Health Checks: +12.495 § Enhanced NHS Health Checks:

+23.706 § Targeted NHS Health Checks: -

6.322

Hybrid Health Production Costs § NHS Health Checks: -19.45 § Enhanced NHS Health Checks: -

34.84 § Targeted NHS Health Checks: -

24.84 Measure: Findings Median Net Costs § NHS Health Checks: £3,438,881 § Enhanced NHS Health Checks:

£4,397,549 § Targeted NHS Health Checks:

£1,277,495 Measure: Findings Median ICER § NHS Health Checks: £10,608 § Enhanced NHS Health Checks:

£6,654 § Targeted NHS Health Checks:

£1,436 Kypridemos (2018)28

Measure: Reduction in absolute socioeconomic health inequalities (Equity Slope Index) § Current NHS Screening: 150 by

2030, 600 by 2040 § Targeted NHS Screening: 410 by

2030, 2,900 by 2040 § Optimal NHS Screening: 1300 by

2030, 7200 by 2040

Measure: CVD Cases prevented or postponed § Current NHS Screening: 290 by

2030, 570 by 2040 § Targeted NHS Screening: 530 by

2030, 1,200 by 2040 § Optimal NHS Screening: 750 by

2030, 2,000 by 2040

Measure: No explicit measure Findings: Current NHS screening is neither efficient nor equitable; optimal screening is efficient but not equitable, while targeted screening is both. Adding structural policies substantially improves equity and efficiency compared to the other scenarios.

Page 52: Equity and Efficiency Tradeoffs in the Prevention of Heart

42

§ Current NHS Screening + Structural interventions: 13,000 by 2030, 37,000 by 2040

§ Targeted NHS + Structural interventions: 13,000 by 2030, 38,000 by 2040

Measure: Reduction in relative socioeconomic health inequalities (Equity Slope Index) § Current NHS Screening: -24 by

2030, -76 by 2040 § Targeted NHS Screening: 11 by

2030, 120 by 2040 § Optimal NHS Screening: -2.1 by

2030, -50 by 2040 § Current NHS Screening +

Structural interventions: 550 by 2030, 1200 by 2040

§ Targeted NHS + Structural interventions: 550 by 2030, 1300 by 2040

§ Current NHS Screening + Structural interventions: 1,600 by 2030, 3,300 by 2040

§ Targeted NHS + Structural interventions: 1,800 by 2030, 3,800 by 2040

Measure: Net QALYs Gained § Current NHS Screening: 57 by

2030, 220 by 2040 § Targeted NHS Screening: 530 by

2030, 1,200 by 2040 § Optimal NHS Screening: 310 by

2030, 1700 by 2040 § Current NHS Screening +

Structural interventions: 2400 by 2030, 7,000 by 2040

§ Targeted NHS + Structural interventions: 2,400 by 2030, 7,200 by 2040

Measure: Cumulative Net Cost (£million) § Current NHS Screening: 4 by

2030, 3.4 by 2040 § Targeted NHS Screening: 4.7 by

2030, 1.3 by 2040 § Optimal NHS Screening: 3.9 by

2030, -4.2 by 2040

Page 53: Equity and Efficiency Tradeoffs in the Prevention of Heart

43

§ Current NHS Screening + Structural interventions: -13 by 2030, -35 by 2040

§ Targeted NHS + Structural interventions: -11 by 2030, -35 by 2040

Measure: Cumulative ICER (£/QALY) § Current NHS Screening: 21,000 by

2030, 11,000 by 2040 § Targeted NHS Screening: 14,000

by 2030, 1,500 by 2040 § Optimal NHS Screening: 9,700 by

2030, -2,400 by 2040 § Current NHS Screening +

Structural interventions: -5,200 by 2030, -5,100 by 2040

§ Targeted NHS + Structural interventions: -4,600 by 2030, -5,000 by 2040

Marchant (2015)29 Measure: Proportion of benefit (Life

Years Gained/Years of Potential Life Lost) High Risk Strategy 1 (ESH/ESC Guidelines 2007): § Ages 35-44 – 2 § Ages 45-54 – 8 § Ages 55-64 – 13 § All Ages – 10

Measure: Number Needed to Treat High Risk Strategy 1 (ESH/ESC Guidelines 2007): § Ages 35-44 – 144 § Ages 45-54 – 131 § Ages 55-64 – 107 § All Ages – 114

Measure: No explicit measure Findings: The proportional benefit approach traded off efficiency for equity compared to the high-risk strategy 1, but was a win-win compared to high risk strategy 2.

Page 54: Equity and Efficiency Tradeoffs in the Prevention of Heart

44

High Risk Strategy 2 (ESH/ESC Guidelines 2013, evidence based): § Ages 35-44 – 2 § Ages 45-54 – 8 § Ages 55-64 – 4 § All Ages – 5 Proportional Benefit Approach: § Ages 35-44 – 10 § Ages 45-54 – 10 § Ages 55-64 – 10 § All Ages – 10

High Risk Strategy 2 (ESH/ESC Guidelines 2013, evidence based): § Ages 35-44 – 146 § Ages 45-54 – 134 § Ages 55-64 – 144 § All Ages – 139 Proportional Benefit Approach: § Ages 35-44 – 347 § Ages 45-54 – 144 § Ages 55-64 – 84 § All Ages – 131

Page 55: Equity and Efficiency Tradeoffs in the Prevention of Heart

45

Chapter 3: An Examination of Race and Gender Specific Effects of Tobacco Taxes on Smoking Prevalence and Coronary Heart

Disease Mortality in the United States, 2005-2016

3.1 Abstract

Background: Coronary heart disease (CHD) mortality rates in the United States (US) population

have declined substantially since 1960, but racial and ethnic disparities persist, with higher

rates among black non-Hispanic compared to white non-Hispanic Americans. Few studies have

provided evidence on the heterogeneous effects of policy interventions on smoking rates and

CHD mortality among white and black Americans.

Methods: We constructed a yearly panel (2005-2016) of all 50 US States and the District of

Columbia. For each state-year, we estimated age-adjusted smoking prevalence using the

Behavioral Risk Factor Surveillance System, and derived CHD mortality rates per 100,000 from

CDC’s Wide-ranging Online Data for Epidemiological Research (WONDER) system. We linked

this panel with state-by-year data on total taxes (combined federal and state) per pack of

cigarette from the State Tobacco Activities Tracking and Evaluation (STATE) system. We

examined the effect of changes in tobacco taxes on (a) changes in smoking lagged by 1 year

and (b) changes in CHD mortality lagged by 2 years, using linear regression models with state

and year fixed effects, adjusting for per capita income and educational attainment at the state

level. Analyses examined effects for the entire population, and estimated and assessed

heterogeneity of effects for (1) men compared to women, (2) white non-Hispanic persons

Page 56: Equity and Efficiency Tradeoffs in the Prevention of Heart

46

compared black non-Hispanic persons, and (3) white non-Hispanic men, white non-Hispanic

women, black non-Hispanic men and black non-Hispanic women compared to each other.

Results: Tobacco taxation was associated with a percentage point reduction in age-adjusted

smoking prevalence 1 year later of -0.4% [95% CIs: -0.6%, -0.2%] per dollar of tobacco tax

(including federal and state), and a percent reduction in the rate of CHD mortality 2 years later

of -2.0% [95% CIs: -3.5%, -0.5%] per dollar of tobacco tax. Taxation effects across strata of

race-ethnicity by gender were heterogeneous for changes in smoking prevalence [f(3,50

)=8.14; p=0.0002] but not changes in CHD mortality [f( 3,50)=1.34; p=0.2731]. For smoking

effects, the strongest percentage point reductions were observed among black non-Hispanic

women (-1.2% [95% CIs: -1.6%, -0.8%]), while a non-statistically significant increase was

observed among black non-Hispanic men (1.1% [95%CIs: -0.3%, 2.5%]).

Conclusion: Tobacco taxation appears to be an effective population health intervention on

cigarette smoking prevalence and coronary heart disease mortality rates in the united states.

Reductions in smoking prevalence were greatest among black non-Hispanic women. Future

studies should examine the effects of tobacco taxation by age, income and education group to

further characterize the effectiveness of this intervention, and look more closely at potential

increases in smoking prevalence observed among black non-Hispanic men.

Page 57: Equity and Efficiency Tradeoffs in the Prevention of Heart

47

3.2 Introduction

Heart disease remains the leading cause of death in the United States, with coronary heart

disease (CHD) being the most common form. CHD mortality rates in the US population have

declined substantially since 1960, paralleling advances in CHD prevention and treatment, and

reductions in blood pressure, cholesterol levels, and smoking prevalence.1 Yet, despite the

strong secular declines in CHD mortality, racial and ethnic disparities persist, with higher rates

among black Non-Hispanic compared to white Non-Hispanic Americans (see figure 3.1).2,3

Public health policy efforts have proven effective in reducing CHD risk factors and CHD

mortality. Nutritional policy actions such as the New York City Trans-fat Restriction4,5 and the

Berkeley Soda Tax6,7 reduced exposure to transfats and sugar sweetened beverages, while

prior studies of tobacco taxes have shown that tobacco taxes are effective at reducing smoking

and CHD.8,9 An intensive suite of policies targeting primarily diet and smoking behavior

implemented in New York City in 2002 achieved marked declines in CVD mortality.10 Yet,

despite the breadth of extant policy research in the area, few studies have provided evidence

on the effects of policy interventions on racial gaps in CHD mortality.11

Evidence that tobacco taxes are effective and induce larger smoking reductions among poorer

and racial and ethnic minority populations12,13 suggests that tobacco taxes may decrease the

CHD mortality gap between Black and White Americans. One study examining the relationship

between tobacco taxes and hospitalizations for acute myocardial infarction and heart failure

Page 58: Equity and Efficiency Tradeoffs in the Prevention of Heart

48

using a county-level panel of inpatient hospitalizations over the years 2001 to 2008 found no

evidence of an effect on hospitalizations for myocardial infarction, but did show evidence of

effects on hospitalizations for heart failure across age groups.14 A prior study15 examining the

effects of tobacco taxation on CHD mortality at the state level over the period 1970-2005

found a statistically non-significant 5.7% (State-level clustered standard error = 4.4%) decline of

CHD per dollar tax, five years after that tax. But this study did not capture more recent changes

in tobacco taxes that occurred between 2005-2016, and did not examine effects by race or

gender.

Several features of the prior literature limit our ability to discern the effects of tobacco taxes on

smoking and heart disease. First, given evidence that the physiologic benefits related to

quitting smoking can reduce cardiovascular risk within 2 years, and that the reduction in heart

disease risk may increase over time,16,17 there is a need to explore lags occurring 1 to 4 years

after a given tobacco tax. Second, prior studies have not reported on race/ethnicity effects by

gender. Third, prior studies that have examined CHD mortality lacked analyses of the effect of

taxation on smoking prevalence. Fourth, the study of the effect of tobacco taxes on heart

disease mortality over 1970-2005 looked at populations 18 years old and older,15 which

includes a large proportion of individuals who are at very low risk of heart disease (i.e., 18-34

years old), potentially diluting the effects present in older populations that are at higher risk for

CHD mortality. Fifth, a prior study on heart disease mortality15 defined heart disease very

broadly (ICD 10 codes 53-68), combining coronary heart disease (i.e. ischemic heart disease),

with Rheumatic Heart Disease, Endocarditis, and Myocarditis. Sixth, no existing study of CHD

Page 59: Equity and Efficiency Tradeoffs in the Prevention of Heart

49

mortality impact assesses tobacco tax changes after 2005. Accordingly, there are no extant and

comprehensive studies of the race/ethnicity and gender-specific effects of recent state-level

tobacco taxes on smoking and CHD mortality, and no national studies of taxation effects on

CHD that extend beyond 2008.

Aiming to address these research gaps, we investigate three empirical questions: 1. What are

the effects of changes in total (state and federal) cigarette taxes on future smoking prevalence

among black and white Americans? 2. What are the effects of changes in total cigarette taxes

on the rate of CHD mortality among black and white Americans? 3. Are the effects of variation

in total cigarette taxes on smoking and CHD mortality heterogeneous across strata of gender,

race/ethnicity, and the combination of race/ethnicity by gender?

Page 60: Equity and Efficiency Tradeoffs in the Prevention of Heart

50

3.3 Methods

Study Population and Design

The study population included black and white non-Hispanic non-institutionalized residents of

all 50 U.S. states and District of Columbia from 2005-2016. The analysis was restricted to

persons ages 35 and older, because of the low rates of CHD mortality (<5 per 100,000) in

those under 35.

We constructed a yearly state-level panel (2005-2016) of current smoking rates using the

Behavioral Risk Factor Surveillance System (BRFSS).18 We linked this panel data with state-by-

year tobacco taxation data from the STATE System,19 and a yearly state-level panel (2005-2016)

of CHD mortality rates from Wide-ranging ONline Data for Epidemiologic Research

(WONDER).2

Due to sparse population density, we did not include any state-years for black non-Hispanic

men or women for the following states: Alaska, Hawaii, Idaho, Maine, Montana, New

Hampshire, North Dakota, Oregon, South Dakota, Utah, Vermont, Wyoming. In addition, for

black non-Hispanic men, we did not include Arizona (2005-2016), Minnesota (2007), Nebraska

(2007), and New Mexico (2005, 2007, 2008).

Data Sources

Page 61: Equity and Efficiency Tradeoffs in the Prevention of Heart

51

ACS – The ACS is conducted yearly, and samples approximately 3.5 million households per

year, providing intercensal estimates of US population counts and demographic composition at

the national and state levels.20 Additionally, the ACS provides descriptive data on age, gender,

race/ethnicity, educational attainment, and income. These data were all available at the state

level in single year estimates for each of the years in our 2005-2016 panel.

BRFSS – The Behavioral Risk Factor Surveillance System (BRFSS) is a state-based national panel

survey that is conducted annually by telephone.18,21 The BRFSS consists of a standard core of

questions that are not modified from state to state, including health risk behaviors like cigarette

smoking and alcohol use, chronic medical conditions, and use of preventative services. In 2011,

the BRFSS underwent a change in sampling methodology that shifted their sampling frame to

include not only landlines, but also cellular phones.22

PUMS – The Public Use Microdata Sample (PUMS)23 is an individual level subsample of

participants captured in the ACS, for each US state and the District of Columbia. It allows for

more flexibility in estimates of US population demographics compared to the ACS. These data

were all available at the state level in single year estimates for each of the years in our 2005-

2016 panel.

STATE - The State Tobacco Activities Tracking and Evaluation (STATE) System19 is maintained

by the CDC and provides data on annual measures of federal and state-level tobacco taxes.

Included in the data are (1) state tax per pack (in dollars), and (2) federal tax per pack (in

Page 62: Equity and Efficiency Tradeoffs in the Prevention of Heart

52

dollars). These data were extracted from The Tax Burden of Tobacco, an annual publication

produced by an economic consulting firm, with single year estimate data available for each of

the years in the 2005–2016 period.

WONDER - The Wide-ranging ONline Data for Epidemiologic Research (WONDER)2 dataset is

maintained by the CDC and provides national and state-level mortality rates, including CHD,

by race, ethnicity and gender. These data are based on death certificates for all 50 states and

the District of Columbia.

Measures

Exposure

Tobacco Taxes: We used total state and federal taxes as our exposure, measured in dollars per

pack of cigarettes. Nominal annual taxes were adjusted for inflation to reflect 2016 dollars, but

were not adjusted for regional differences in purchasing power.

Outcome

Smoking Prevalence: Smoking prevalence was estimated using BRFSS data, as the proportion

of respondents ages 35 and older who were current smokers in a given state in a given year.

Current smoking was defined as a binary variable taking the value of one if a respondent

reported having smoked at least 100 cigarettes in their lifetime and reported currently smoking

cigarettes some days or every day, and zero otherwise. Current smoking status was imputed for

BRFSS observations with missing data (1.7% overall), using the SAS MI procedure. Smoking

Page 63: Equity and Efficiency Tradeoffs in the Prevention of Heart

53

status was imputed using demographic and alcohol use variables. Estimates of state-by-year

current smoking prevalence were weighted with BRFSS individual weights, which adjust for

sampling design and survey non-response. Smoking prevalence was estimated separately by

gender and race/ethnicity (white non-Hispanic men, white non-Hispanic women, black non-

Hispanic men, black non-Hispanic women), and combined across 10 imputation data sets.

Notably, the 2011 BRFSS sampling redesign led to an increase in estimated of smoking

prevalence.22

CHD Death Rate: Age-adjusted CHD death rates per 100,000 population among adults ages

35 years and older were obtained from WONDER, with CHD deaths identified using ICD-10

codes I20-I25 for the period of 2005-2016, and death rates calculated as deaths per 100,000

population. Age-adjustment of CHD death rates in WONDER estimates was performed using

the direct method of age-standardization using the 2000 US Census. CHD death rates were

estimated separately for each state and each year, and further stratified by gender and

race/ethnicity. All estimates of effects on CHD were weighted with state-year denominators

from the ACS to allow for national estimates.

Covariates used in adjusted CHD and smoking estimates

State- and year- indicators: we included indicators for each state to adjust our analyses for all

fixed characteristics of states. We included indicators for each year (2005–2016) to account for

all national trends, including the 2011 BRFSS sampling frame redesign, that could bias the

association between tobacco taxes and our outcomes.

Page 64: Equity and Efficiency Tradeoffs in the Prevention of Heart

54

Area-level Education: Percent with some college or more education (ages 35 and older) for

each state-year was computed using annual, single-year PUMS state estimates and raking them

to ACS marginal estimates of (a) education by race/ethnicity and (b) gender separately, to

obtain estimates by strata of race/ethnicity by gender.

Area-level Income: Median per-capita income (ages 35 and older) for each state-year was

computed using PUMS data, by strata of race/ethnicity by gender.

Weighting

Our regression models of smoking prevalence and CHD mortality were weighted by state-year

population to allow for national estimates. Estimates of taxation effects on smoking prevalence

were weighted with the sum of BRFSS study weights by state-year, while our primary analyses

of taxation effects on CHD were weighted with state-by-year population denominators from

the ACS. All state-year weights were specific to race/ethnicity and gender, so that white non-

Hispanic men, white non-Hispanic women, black non-Hispanic men and black non-Hispanic

women each have their own set of state-year weights.

Analytic Approach

We conducted an observational, state-level, panel study to examine the effect of tobacco taxes

on rates of smoking and CHD mortality among black and white populations in the United

Page 65: Equity and Efficiency Tradeoffs in the Prevention of Heart

55

States. We allowed 1 year for the effects of taxation on smoking prevalence to accrue, and 1

additional year for the effects of taxation on CHD mortality to accrue.

We estimated 4 multiple linear regression models [see box 3.1] including state and year fixed

effects to assess whether within-state variation in tobacco taxes, lagged by 1 year, was

associated with smoking rates. We then computed marginal effects for the percentage point

change in smoking prevalence per dollar tobacco tax (1) for the overall study population using

model 1.1, (2) by gender strata using model 1.2, (3) by strata of race/ethnicity using model 1.3,

and (4) by strata of race/ethnicity by gender using model 1.4. Finally, we compared marginal

effects within model, using f-tests to assess homogeneity of estimates. All standard errors were

clustered at the state level.

We then estimated 4 multiple linear regression models [see box 3.2] including state and year

fixed effects to assess whether variation in tobacco taxes, lagged by 2 years affected CHD

rates. For interpretation purposes, we modeled the log of CHD rates, which allowed us to

estimate percent changes in CHD per dollar increase in tobacco tax. We then computed

marginal effects for percent changes in smoking prevalence per dollar tobacco tax (1) for the

overall study population using model 2.1, (2) by gender strata using model 2.2, (3) by strata of

race/ethnicity using model 2.3, and (4) by strata of race/ethnicity by gender using model 2.4.

Finally, we compared marginal effects within model, using f-tests to assess homogeneity of

estimates. All standard errors were clustered at the state level.

Page 66: Equity and Efficiency Tradeoffs in the Prevention of Heart

56

Sensitivity Analyses

All models constructed for sensitivity analyses of smoking prevalence followed the form of

models 1.1-1.4 [see box 3.1], while all models constructed for sensitivity analyses of CHD rates

followed the form of models 2.1-2.4 [see box 3.2].

Model Form. In order to examine the sensitivity of our results to model form, we constructed

models of the effects of taxes on smoking prevalence and CHD mortality using generalized

linear models with logistic and Poisson links, respectively.

Negative Control. We repeated our analysis of mortality lagged by 2 years, but with measures

of pooled accidental injury mortality rates [including transport accidents (ICD-10 Codes: V01-

V99) and other external causes of accidental injury (ICD-10 Codes: W00-X59)], rather than CHD

mortality rates, as a negative control or falsification test.

Local Autonomy. One concern in the evaluation and study of the effects of state-level taxes is

sub-state variation in policy and its implementation. In order to examine the degree to which

our estimates of taxation effects on smoking prevalence and CHD may have been affected by

local autonomy, we conducted a sensitivity analysis. We adjusted for the Index of Local

Government Autonomy (ILGA),24 which provides a state-specific index score ranging from 1

(most autonomy) to -1 (least autonomy). The ILGA is comprised of three empirically estimated

factors – local government importance, local government discretion, and local government

capacity; each are given equal weight and combined into a single index score.

Page 67: Equity and Efficiency Tradeoffs in the Prevention of Heart

57

3.4 Results

Age adjusted CHD deaths per 100,000 decline throughout the period (figure 3.1a), with the

highest rates of deaths among black non-Hispanic men, followed by white-non-Hispanic men,

black non-Hispanic women, and white non-Hispanic women. As shown in figure 3.2, real

tobacco taxes rose through the study period, with a clear upward inflection between 2008 and

2009. Averaging combined federal and state tobacco taxes over the years 2005-2008, we

observed a mean of $1.67 (SD=$0.76; range: $0.51-$3.53), while averaging over the years

2009-2016, we observed a mean of $2.48 (SD=$1.02; range: $1.18-$5.90). As shown in

appendix figure 3.1, the 3 states with the lowest total tobacco tax rates at the end of the

period were Missouri, Virginia and Georgia, while those with the highest tax rates were New

York, Connecticut and Rhode Island.

Appendix table 3.2 shows that weighted population frequencies from the BRFSS are

comparable to ACS estimates throughout the study period by gender, race/ethnicity and

gender by race-ethnicity. Figure 3.3 shows that the weighted national BRFSS smoking

prevalence generally declines for all demographic groups, punctuated by a change in sampling

methodology between 2010 and 2011 that resulted in a rise in estimated smoking

prevalence,22 and thus an offset between the earlier and later periods. Black non-Hispanic men

had the highest prevalence of smoking throughout the study period, followed by white non-

Hispanic men, black non-Hispanic women, and white non-Hispanic women. Proportion with

some college or more was highest among white non-Hispanic men and women, followed by

Page 68: Equity and Efficiency Tradeoffs in the Prevention of Heart

58

black non-Hispanic women and black non-Hispanic men, as shown in appendix figure 3.2.

Median income at the state level, in 2016 dollars, was highest among white non-Hispanic men

followed by black non-Hispanic men, white non-Hispanic women and black non-Hispanic

women, as shown in appendix figure 3.3.

Tobacco Taxation Effects on Percentage Point Change in Smoking Prevalence. Appendix figure

3.3 shows the effect of total tobacco taxes, per dollar tax on smoking prevalence

contemporaneously and lagged by 1-5 years, with clear effects in lags 0-4. Table 3.1 shows the

effects of tobacco taxation, per dollar, on percentage point change in smoking prevalence

lagged by 1 year. The estimated percentage point reduction in smoking prevalence per dollar

tobacco tax was -0.4% [95% CIs: -0.6%, -0.2%]. Among men, the estimated effect was -0.1%

[95% CIs: -0.5%, 0.3%], while among women the estimated effect was -0.5% [95% CIs: -0.8%, -

0.2%]; an f-test suggested non-homogeneity (f(1,50 )= 4.31; p=0.0431) of these estimates.

Among white non-Hispanic persons, the estimated effect was -0.5% [95% CIs: -0.8%, -0.2%],

while among black non-Hispanic persons, the estimated effect was -0.2% [95% CIs: -0.9, 0.4];

an f-test suggested homogeneity [f(1,50 )= 0.44; p= 0.5091] of these estimates. Finally, we

examined effects by both gender and race-ethnicity, and estimated effects among white non-

Hispanic men of -0.4% [95% CIs: = -0.8%, 0.0%], among black non-Hispanic men of 1.1%

[95%CIs: -0.3%, 2.5%], among white non-Hispanic women of -0.6% [95%CIs: -0.9%, -0.4%], and

among black non-Hispanic women of -1.2% [95% CIs: -1.6%, -0.8%]; an f-test suggested non-

homogeneity [f(3,50 )=8.14; p=0.0002].

Page 69: Equity and Efficiency Tradeoffs in the Prevention of Heart

59

Taxation Effects on Percent Changes in CHD Mortality Rate. Appendix figure 3.5 shows the

effect of total tobacco taxes, per dollar tax on percent changes in CHD contemporaneously

and lagged by 1-5 years, with clear effects in lags 2-4. Table 3.2 shows the effects of tobacco

taxation, per dollar, on age-adjusted CHD mortality rates among white non-Hispanic men and

women and black non-Hispanic men and women, lagged by 2 years. The estimated effect per

dollar cigarette tax on percent changes in CHD mortality rates for the overall study population

was -2.0% [95% CIs: -3.7%, -0.5%]. Among men, the estimated effect was -2.1% [95%CIs: -

3.5%, -0.6%], while among women the estimated effect was -1.9% [95%CIs: -3.7, 0.1]; an f-test

comparing these estimates suggested homogeneity [f (1,50)=0.18, p=0.6738]. Among White

non-Hispanic persons, we found the estimated effect per dollar tax on percent changes in CHD

mortality rates to be -1.8% [95% CIs: -3.7%, 0.1%], while among black non-Hispanic persons,

the estimated effect was -3.4% [95% CIs: -4.5%, -2.2%]; these estimates appear to be

homogenous [f (1,50 )=2.13; p=0.1511]. Finally, we examined estimates of taxation effects by

race and gender, and estimated effects among white non-Hispanic men of -1.8% [95%CIs: -

3.4%, -0.3%], among black non-Hispanic men of -3.0% [95% CIs: -4.6%, -1.3%], among white

non-Hispanic women of -1.5% [95% CIs: -3.5%, 0.5%], and among black non-Hispanic women

of -3.4% [95% CIs: -4.8%, -2.1%]; an f-test [f( 3,50)=1.34; p=0.2731] suggested homogeneity of

these estimates.

SENSITIVITY ANALYSES

Model Form. As shown in appendix table 3.2, when taxation effects on smoking prevalence are

estimated using generalized linear models with a logit link, the patterns of effect and

Page 70: Equity and Efficiency Tradeoffs in the Prevention of Heart

60

comparisons of estimates for homogeneity are approximately the same as in the linear models

(table 1). As shown in appendix table 3.3, when we use generalized linear models with a

Poisson link to model CHD mortality (rather than the natural log of CHD mortality), the

presence and ordering of effects roughly match those estimated in the linear models (table

3.2), as do the results of tests for homogeneity. Notably, these models estimate a marginal

absolute effect of -5 deaths [95% CIs: -9, -2] per 100,000 for the overall population of black

and white non-Hispanic.

Local Autonomy. In order to account for local autonomy within state, we re-ran the linear

models presented in tables 3.2 and 3.3, but added to our models the state-level ILGA variable.

As shown in appendix tables 3.4 and 3.5, the ILGA-adjusted results were nearly identical.

Falsification. As a falsification exercise, we examined the effect of tobacco taxes on pooled

accidental injury mortality rates, including transport accidents (ICD-10 Codes: V01-V99) and

other external causes of accidental injury (ICD-10 Codes: W00-X59) to see whether the pattern

of coefficients was similar to those observed for CHD mortality. As shown in appendix table

3.6, there was no discernible pattern of effects that is similar to those seen for CHD mortality

(table 3.3).

Page 71: Equity and Efficiency Tradeoffs in the Prevention of Heart

61

3.5 Discussion

This nationally representative observational, state-level, panel study showed that between

2005 and 2016, tobacco taxation was associated with a percentage point reduction in age-

adjusted smoking prevalence 1 year later of -0.4% [95% CIs: -0.6%, -0.2%] per dollar of

tobacco tax, and an average percent reduction in the rate of CHD mortality 2 years later of -

2.0% [95% CIs: -3.7%, -0.5%] per dollar of tobacco tax. In absolute terms, tobacco taxes were

associated with an average reduction in CHD deaths of -5 [95% CIs: -9, -2] per 100,000.

Taxation effects across strata of race-ethnicity by gender were heterogeneous for changes in

smoking prevalence [f(3,50 )=8.14; p=0.0002] and homogeneous for changes in CHD mortality

[f( 3,50)=1.34; p=0.2731]. For smoking effects, the strongest percentage point reductions were

observed among black non-Hispanic women (-1.2% [95% CIs: -1.6%, -0.8%]), while an increase

was observed among black non-Hispanic men [1.1% [95%CIs: -0.3%, 2.5%]].

The effects of taxation on reducing CHD mortality observed in this study are consistent with

those seen in the study by Bowser and colleagues,15 albeit smaller and more precise. In

addition, the CHD mortality effects observed in this study are consistent with those seen in a

prior study by Ho14 of the relationship between tobacco taxes and heart failure

hospitalizations;14 given that atherosclerosis is a cause of heart failure. This study expands upon

the work of Bowser15 and colleagues by examining the effects of tobacco taxation on CHD

between 2005-2016, and by examining exposure lags that lie between 0 and 5 years. In

Page 72: Equity and Efficiency Tradeoffs in the Prevention of Heart

62

addition, this expands upon prior work by Bowser15 and Ho14 by examining race/ethnicity-by-

gender specific estimates of the effects of taxes on CHD outcomes.

The findings of this study suggest that tobacco taxation is an effective intervention on reducing

smoking prevalence and CHD mortality among white and black non-Hispanic populations in

the United States. While taxation effects on smoking prevalence appear to be most strongly

associated with reductions among black non-Hispanic women, they appear to be harmful

among black non-Hispanic men. In contrast, taxation effects on CHD appear homogeneous.

Effects of tobacco taxes on smoking and CHD may be stronger among black non-Hispanic

women for several reasons. First, price elasticity of tobacco may be greatest for black non-

Hispanic women because they have the lowest per-capita income compared to other

race/ethnicity-gender groups. One question arises however, as to why tobacco taxation was

associated decreases in CHD mortality 2 years after a given tax for black non-Hispanic men,

despite increases in smoking prevalence 1 year after a given tax. One reason for this

inconsistency could be the reduction in smoking frequency, which is not included in this study,

despite an increase in smoking prevalence, which may occur due to targeted marketing

designed to offset tax increases.25 A second explanation for this pattern could be the

emergence or strengthening of a cigarette black market, including the sale of single cigarettes

or “loosies,” that is most accessible to and targeted toward black non-Hispanic men.22,26 Third,

it is possible that increases in smoking prevalence among black non-Hispanic men are

concentrated in specific age groups – perhaps younger groups that are at lower risk of CHD

mortality, and cannot be observed without age-stratified estimates. Fourth, the decreases in

Page 73: Equity and Efficiency Tradeoffs in the Prevention of Heart

63

CHD mortality, following increases in smoking prevalence, per dollar tax, could be driven by

changes in competing risks for conditions like stroke.27 Finally, even if smoking prevalence

increases among black non-Hispanic men that exposure may be offset to some degree by a

reduction in secondhand smoke.

The findings of this study should be considered in the context of several limitations. First, the

BRFSS sampling methodology, which underlies our estimate of smoking prevalence underwent

a substantial change in the middle of the study period, in 2011, resulting in our reporting of

period-stratified estimates. Despite this, we control in our analysis for year, which adjusts for

any level differences in smoking prevalence in the post-period. Second, the BRFSS is

conducted at the state level, so it is possible that state-level differences in sampling and

module order may have resulted in measurement variance for smoking prevalence across

states. A third limitation to this study is the lack of more detailed data on quit and initiation

rates and smoking frequency. These data would allow us to clarify the effects of taxation on

smoking behavior, critically providing the opportunity to further understand the dynamics of

taxation on smoking among black non-Hispanic men. Fourth, it is worth noting the high R2

values for the smoking and CHD models. However, this appears to be due in part, to the

inclusion of state and year fixed effects, and the R2 values we observed were similar to those

observed in a similar study of taxation and CHD by Bowser and colleagues.15 Fifth, the

relatively wide confidence intervals around effects on smoking prevalence and CHD reveal

uncertainty in our estimates. Nonetheless, the marginal point estimates and estimates by strata

of race/ethnicity-by-gender are clear and convincing.

Page 74: Equity and Efficiency Tradeoffs in the Prevention of Heart

64

Future studies could fruitfully examine the effect of taxation on tobacco consumption with data

that gets at frequency of tobacco use (i.e. number of cigarettes per day), in addition to

smoking initiation and quitting. These data may more precisely capture the effects of taxation

on smoking and better explain links between taxation effects on smoking and those on heart

disease. In addition, future studies could productively examine the effects of tobacco taxes on

smoking behavior and CHD by age, income and education group, in order to further

understand the dynamics of this ongoing population health intervention. If the effects of

tobacco taxation on smoking were heterogeneous by age, that could help explain why taxation

increases smoking prevalence among black men while decreasing CHD. Finally, it is possible

that the reduction in CHD among black men is caused by competing risks of death due to

other conditions caused by smoking such as stroke, heart failure, lung disease.

Page 75: Equity and Efficiency Tradeoffs in the Prevention of Heart

65

3.6 Conclusion

Tobacco taxation appears to be an effective population health intervention on cigarette

smoking prevalence and coronary heart disease mortality among white and black non-Hispanic

men and women. Reductions in smoking prevalence were greatest among black non-Hispanic

women, while increases in smoking prevalence were observed among black non-Hispanic men.

Future studies should examine the effects of tobacco taxation by age, income and education

group to further characterize the effectiveness of this intervention, and more closely look at

potential increases in smoking prevalence observed among black non-Hispanic men.

Page 76: Equity and Efficiency Tradeoffs in the Prevention of Heart

66

3.7 References

1. Centers for Disease Control and Prevention. Achievements in Public Health, 1900-1999:

Decline in Deaths from Heart Disease and Stroke — United States, 1900–1999. Morb

Mortal Wkly Rep. 1999.

2. Centers for Disease Control and Prevention. CDC WONDER. https://wonder.cdc.gov/.

Accessed March 8, 2018.

3. Ford ES, Roger VL, Dunlay SM, Go AS, Rosamond WD. Challenges of Ascertaining

National Trends in the Incidence of Coronary Heart Disease in the United States. J Am

Heart Assoc. 2014;3(6):e001097-e001097. doi:10.1161/JAHA.114.001097

4. Angell SY, Silver LD, Goldstein GP, et al. Cholesterol control beyond the clinic: New

York City’s trans fat restriction. Ann Intern Med. 2009;151(2):129-134. doi:151/2/129 [pii]

5. Angell SY, Cobb LK, Curtis CJ, Konty KJ, Silver LD. Change in Trans Fatty Acid Content

of Fast-Food Purchases Associated With New York City’s Restaurant RegulationA Pre–

Post Study. Ann Intern Med. 2012;157(2):81-86. doi:10.7326/0003-4819-157-2-

201207170-00004

6. Falbe J, Rojas N, Grummon AH, Madsen KA. Higher retail prices of sugar-sweetened

beverages 3 months after implementation of an excise tax in Berkeley, California. Am J

Public Health. 2015;105(11):2194-2201. doi:10.2105/AJPH.2015.302881

7. Falbe J, Thompson HR, Becker CM, Rojas N, McCulloch CE, Madsen KA. Impact of the

Berkeley excise tax on sugar-sweetened beverage consumption. Am J Public Health.

2016;106(10):1865-1871. doi:10.2105/AJPH.2016.303362

Page 77: Equity and Efficiency Tradeoffs in the Prevention of Heart

67

8. Fichtenberg CM, Glantz SA. Association of the California Tobacco Control Program with

Declines in Cigarette Consumption and Mortality from Heart Disease. N Engl J Med.

2000;343(24):1772-1777. doi:10.1056/NEJM200012143432406

9. Chaloupka FJ, Warner KE. Chapter 29 The economics of smoking. Handb Heal Econ.

2000. doi:10.1016/S1574-0064(00)80042-6

10. Ong P, Lovasi GS, Madsen A, Van Wye G, Demmer RT. Evaluating the Effectiveness of

New York City Health Policy Initiatives in Reducing Cardiovascular Disease Mortality,

1990–2011. Am J Epidemiol. 2017;186(5):555-563. doi:10.1093/aje/kwx134

11. Lu Y, Ezzati M, Rimm EB, Hajifathalian K, Ueda P, Danaei G. Sick Populations and Sick

SubpopulationsClinical Perspective. Circulation. 2016;134(6):472-485.

doi:10.1161/CIRCULATIONAHA.115.018102

12. Thomas S, Fayter D, Misso K, et al. Population tobacco control interventions and their

effects on social inequalities in smoking: systematic review. Tob Control. 2008;17(4):230-

237. doi:10.1136/tc.2007.023911

13. Hill S, Amos A, Clifford D, Platt S. Impact of tobacco control interventions on

socioeconomic inequalities in smoking: review of the evidence. Tob Control.

2014;23(e2):e89-e97. doi:10.1136/tobaccocontrol-2013-051110

14. Ho V, Ross JS, Steiner CA, et al. A Nationwide Assessment of the Association of

Smoking Bans and Cigarette Taxes With Hospitalizations for Acute Myocardial Infarction,

Heart Failure, and Pneumonia. Med Care Res Rev. 2017;74(6):687-704.

doi:10.1177/1077558716668646

15. Bowser D, Canning D, Okunogbe A. The impact of tobacco taxes on mortality in the

Page 78: Equity and Efficiency Tradeoffs in the Prevention of Heart

68

USA, 1970–2005. Tob Control. 2016;25(1):52-59. doi:10.1136/tobaccocontrol-2014-

051666

16. Jha P, Ramasundarahettige C, Landsman V, et al. 21st-century hazards of smoking and

benefits of cessation in the United States. N Engl J Med. 2013.

doi:10.1056/NEJMsa1211128

17. Kawachi I, Colditz GA, Stampfer MJ, et al. Smoking cessation and time course of

decreased risks of coronary heart disease in middle-aged women. Arch Intern Med.

1994. doi:10.1001/archinte.154.2.169

18. Mokdad AH. The Behavioral Risk Factors Surveillance System: Past, Present, and Future.

Annu Rev Public Health. 2009. doi:10.1146/annurev.publhealth.031308.100226

19. CDC. State Tobacco Activities Tracking and Evaluation (STATE) System.

https://www.cdc.gov/STATESystem/. Accessed March 11, 2018.

20. Bureau UC. American Community Survey Design and Methodology.; 2014.

https://www.census.gov/programs-surveys/acs/methodology/design-and-

methodology.html. Accessed August 16, 2018.

21. Mokdad AH, Stroup DF, Giles WH. Public health surveillance for behavioral risk factors in

a changing environment. Recommendations from the Behavioral Risk Factor Surveillance

Team. MMWR Recomm Rep. 2003. doi:10.1523/jneurosci.1835-10.2010

22. Pierannunzi C, Town M, Garvin W, Shaw FE, Balluz L. Methodologic changes in the

Behavioral Risk Factor Surveillance System in 2011 and potential effects on prevalence

estimates. Morb Mortal Wkly Rep. 2012.

23. American Community Survey 2018 ACS 1-Year PUMS Files ReadMe.; 2019.

Page 79: Equity and Efficiency Tradeoffs in the Prevention of Heart

69

https://www2.census.gov/programs-

surveys/acs/tech_docs/pums/ACS2018_PUMS_README.pdf?#.

24. Wolman H, McManmon R, Bell M, Brunori D. COMPARING LOCAL GOVERNMENT

AUTONOMY ACROSS STATES*. https://www.ntanet.org/wp-

content/uploads/proceedings/2008/046-wolman-comparing-local-government-2008-

nta-proceedings.pdf. Accessed December 5, 2018.

25. Chaloupka FJ, Cummings KM, Morley CP, Horan JK. Tax, price and cigarette smoking:

Evidence from the tobacco documents and implications for tobacco company marketing

strategies. Tob Control. 2002. doi:10.1136/tc.11.suppl_1.i62

26. Shelley D, Cantrell MJ, Moon-Howard J, Ramjohn DQ, VanDevanter N. The $5 man: The

underground economic response to a large cigarette tax increase in New York City. Am

J Public Health. 2007. doi:10.2105/AJPH.2005.079921

27. Puddu PE, Piras P, Menotti A. Lifetime competing risks between coronary heart disease

mortality and other causes of death during 50 years of follow-up. Int J Cardiol. 2017.

doi:10.1016/j.ijcard.2016.11.157

Page 80: Equity and Efficiency Tradeoffs in the Prevention of Heart

70

3.8 Boxes, figures and tables

Box 3.1 – Models for estimating the effects of tobacco taxation on smoking prevalence

Page 81: Equity and Efficiency Tradeoffs in the Prevention of Heart

71

Box 3.2 – Models for estimating the effects of tobacco taxation on CHD mortality rates

Page 82: Equity and Efficiency Tradeoffs in the Prevention of Heart

72

Figures 3.1a-c: Age-adjusted CHD Deaths per 100,000 among black, compared to white non-Hispanic men and women ages 35+: 1968-2016; 1a - Rates; 1b – Rate Differences; 1c – Rate Ratios

0

50

100

150

200

250

300

350

400

450

2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016

Age

Adj

uste

d C

HD

D

eath

s (p

er 1

00,0

00)

Year

white non-Hispanic men

black non-Hispanic men

white non-Hispanic women

black non-Hispanic women

-10

0

10

20

30

40

50

60

70

2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016

Diff

eren

ce in

Age

-Adj

uste

d C

HD

Dea

ths

(per

100

,000

)

Year

(black non-Hispanic men)-(white non-Hispanic men)

(black non-Hispanic women)-(white non-Hispanic-women)

b

a

Page 83: Equity and Efficiency Tradeoffs in the Prevention of Heart

73

0.9

1

1.1

1.2

1.3

1.4

2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016

Ratio

of A

ge-A

djus

ted

CH

D

Dea

ths

(per

100

,000

)

Year

(black non-Hispanic men) / (white non-Hispanic men)

(black non-Hispanic women) / (white non-Hispanic women)

c

Page 84: Equity and Efficiency Tradeoffs in the Prevention of Heart

74

Figure 3.2 – Average total tobacco taxes per pack by year: Box and whiskers plots with median and interquartile range for total federal and state taxes by year: 2005-2016, in 2016 dollars; mean plotted with a diamond

Page 85: Equity and Efficiency Tradeoffs in the Prevention of Heart

75

Figure 3.3 – Age-adjusted national prevalence of current smoking for white non-Hispanic men and women, and black non-Hispanic men and women: Behavioral Risk Factor Surveillance System, 2005-2016†

(*In 2011, the BRFSS changed their sampling frame to include not just random-digit dial of household phones, but also cellular phones; †- weighted by state-year with sum of BRFSS weights for each state-year by strata of race/ethnicity by gender)

10%

15%

20%

25%

30%

2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016

Mea

n Pe

rcen

t Cur

rent

Sm

oker

s

Year

white non-Hispanic men white non-Hispanic women

black non-Hispanic men black non-Hispanic women

2011 BRFSS sampling change*

Page 86: Equity and Efficiency Tradeoffs in the Prevention of Heart

76

Table 3.1 – Effect per $1 of tobacco tax on smoking prevalence among Americans aged 35 years and older, Lagged by 1 year§†

Number of State-Years Contributed

Marginal Estimates Model Fit Statistics

Homogeneity Test Point

Estimate (Percentage-

point change)

95% Confidence Intervals

f-statistic p-value

Lower Limit

Upper Limit

Overall

1,966 -0.4% -0.6% -0.2 Model 1.1:

R2= 0.7408; Root MSE= 0.02026

-- -

Men 976 -0.1% -0.5% 0.3% Model 1.2: R2= 0.7696; Root MSE= .01942 f(1, 50)= 4.31 p=0.0431 Women 990 -0.5% -0.8% -0.3%

White non-Hispanic 1,122 -0.5% -0.8% -0.2% Model 1.3: R2=0.8188; Root MSE= 0.01717 f(1,50 )= 0.44 p=0.5091 Black non-Hispanic 844 -0.2% -0.9% 0.4%

White non-Hispanic men 561 -0.4% -0.8% 0.0%

Model 1.4: R2= 0.8574; Root MSE=0.0157 f(3,50 )=8.14 p=0.0002

Black non-Hispanic men 415 1.1% -0.3% 2.5% White non-Hispanic women 561 -0.6% -0.9% -0.4% Black non-Hispanic women 429 -1.2% -1.6% -0.8%

§ - multiplied by 100 for interpretation; †- weighted by state-year with sum of BRFSS weights for each state-year by strata of race/ethnicity by gender

Page 87: Equity and Efficiency Tradeoffs in the Prevention of Heart

77

Table 3.2 – Effect per $1 of tobacco tax on the natural log of age-adjusted Coronary Heart Disease Mortality among Americans 35 years and older, lagged by 2 years§‡

Number of State-Years Contributed

Marginal Estimates Model Fit Statistics Homogeneity Test Point

Estimate (Percent change)

95% Confidence Intervals

f-statistic p-value Lower Limit

Upper Limit

Overall 1,730 -2.0% -3.7% -0.5%

Model 2.1: R2= 0.9672, Root MSE=0.06959 - -

Men 861 -2.1% -3.5% -0.6% Model 2.2: R2= 0.9787, Root MSE=0.05715 f(1,50 )=0.18 p=0.6738 Women 869 -1.9% -3.7% -0.1%

White non-Hispanic 1020 -1.8% -3.7% 0.1% Model 2.3: R2= 0.9773, Root MSE= 0.05877

f(1,50 )= 2.13 p=0.1511 Black non-Hispanic 710 -3.4% -4.5% -2.2%

White non-Hispanic men 510 -1.8% -3.4% -0.3%

Model 2.4:

R2= 0.9903, Root MSE= 0.03979 f( 3,50)= 1.34 p=0.2731

Black non-Hispanic men 351 -3.0% -4.6% -1.3% White non-Hispanic women 510 -1.5% -3.5% 0.5% Black non-Hispanic women 359 -3.4% -4.8% -2.1%

§ - multiplied by 100 for interpretation ‡- weighted by each state-year by strata of race/ethnicity by gender with denominators from the American Community Survey

Page 88: Equity and Efficiency Tradeoffs in the Prevention of Heart

78

Chapter 4: A Microsimulation of Equity-Efficiency Tradeoffs in Population Health Interventions for Coronary Heart Disease

Mortality Among Black and White Americans

4.1 Abstract

Background: Heart disease, principally coronary heart disease (CHD) is the leading cause of

mortality among US adults ages 35 and older. Disparities in CHD mortality between socially

advantaged and disadvantaged groups, such as whites and blacks have persisted for decades.

While these differences in disease burden have been well documented, there is a poor

understanding of how to optimally narrow these differences while maintaining overall

improvement in CHD mortality. An equity-efficiency tradeoffs (EET) framework may be a useful

lens through which to consider this problem.

Methods: We performed agent-based micro simulations to study the effects of taxation ($2 and

$3 tobacco tax), pharmaceutical (Statins), and early education interventions on CHD mortality,

and racial gaps in CHD mortality, incorporating efficiency as Years of Life Lost (YLL) averted.

We initialized 4 cohorts of simulated agents including white non-Hispanic men and women,

and black non-Hispanic men and women, ages 45-64, using demographic data from the

American Community Survey and Public Use Microdata Sample, and CHD risk factor data from

NHANES. CHD mortality was estimated over a 10-year follow-up period using the SCORE

algorithm.

Page 89: Equity and Efficiency Tradeoffs in the Prevention of Heart

79

Results: This simulation study shows that among men, compared to no intervention, the

education intervention was associated with the greatest reduction in annualized racial

disparities in CHD mortality (Ratio of ratio (RoR)=0.96; DID=-7.6 per 100,000), while among

women, the $3 tobacco tax intervention was associated with the greatest reduction in

annualized racial disparities in CHD mortality (RoR=0.96; DID=-4.3 per 100,000). Among men,

tobacco taxes increased annualized racial disparities in CHD mortality (RoR=1.11; +17.3 CHD

deaths per 100,000). For men overall, each tax and statins intervention resulted in YLLs

averted, compared to no intervention, with the greatest gains seen for the strong statins

intervention (777 per 100,000). For women overall, each intervention was associated with

increases in YLLs averted, with the greatest gains seen for the $3 tobacco tax (287 per

100,000). Examining equity and effectiveness dimensions together, and comparing statins and

taxation interventions, we found that for men, tobacco taxes were an equity lose intervention

compared to statins, while for women tobacco taxes were nearly always a win-win intervention.

Conclusions: The equity-efficiency trade-off profile of population health interventions in the

context of reducing racial disparities in CHD may vary by gender. Among women, tobacco

taxation increased equity in CHD mortality disparities, without trading off efficiency.

Page 90: Equity and Efficiency Tradeoffs in the Prevention of Heart

80

4.2 Introduction

Racial disparities in Coronary Heart Disease (CHD) mortality rates have persisted for decades

and remain an important intervention target for policymakers.1 While these differences in

disease burden have been well documented, there is a poor understanding of what

interventions might narrow these differences. Literature on intervention generated inequalities

suggests that interventions on tobacco price such as taxation may be among the most

promising types of interventions in terms of reducing inequalities by income and education,2

while there is evidence that ethnic minorities experience greater health gains compared

majority groups.3,4

An equity-efficiency tradeoffs (EET) framework may be a useful lens through which to consider

this problem.5,6 Tradeoffs between equity of intervention efforts and efficiency of the returns on

such efforts arise when public health interventions are deployed across groups of unequal

socioeconomic position. While such interventions may achieve overall and intra-group

improvement, this improvement may come at the expense of stable or widening inter-group

differences. Therefore, in the context of CHD we achieved enormous gains in mortality overall7

at the expense of trade-offs in terms of continuing inequities by race.1 To date, to the best of

our knowledge, tradeoffs between equity and efficiency across interventions for heart disease

in US populations have not been empirically evaluated.

Page 91: Equity and Efficiency Tradeoffs in the Prevention of Heart

81

A central challenge facing the use of EET frameworks to inform the reduction of existing

inequities is limited evidence on the comparative cost-effectiveness of particular interventions

on the same population. Human experiments are costly, are typically not powered to detect

effect heterogeneity across different groups, and have limited time horizons. Integrating quasi-

experimental policy evaluation with simulation models offers an approach to establish

treatment impact in different groups and to simulate how these impacts propagate over time.8

Simulation studies provide an opportunity to study the effects of a single simulated population

over time, and a body of work has employed simulation methods to examine the effects of

various policy interventions on heart disease.9 Few simulation studies have examined the

effects of policy interventions on racial inequities in CHD, but a recent simulation10 of high-risk

and population-wide interventions on CHD risk factors demonstrated the potential to examine,

in-silico, the differential effects of population-level interventions. Agent-Based Models (ABMs)

are a class of flexible simulation models that facilitate a variety of counterfactual comparisons

on a single population11 over extended time horizons. ABMs can be used to explore complex

systems such as disease production, and these virtual world models can inform our ability to

understand the observable world.12 Specifically, simulations provide an optimal technology for

the testing and fine-tuning of population health interventions aimed at reducing social

inequalities and increasing health equity.8

We performed agent-based microsimulations of the effects of pharmaceutical (Statins), taxation

(tobacco) and an education intervention on CHD mortality, and racial gaps in CHD mortality,

incorporating equity as annualized rate ratios and rate differences of CHD mortality, and

Page 92: Equity and Efficiency Tradeoffs in the Prevention of Heart

82

incorporating efficiency as return on Years of Life Lost (YLLs) averted. We aimed to answer the

following questions: 1. What are the equity and efficiency profiles of tobacco taxes, statins, and

early childhood interventions on educational attainment for their effects on CHD in black and

white populations? 2. Which of these interventions provide movement towards efficiency, and

what types provide movement towards equity? 3. What are the EET profiles for statins and an

early childhood education intervention, relative to tobacco taxes in reducing racial disparities in

CHD mortality?

Page 93: Equity and Efficiency Tradeoffs in the Prevention of Heart

83

4.3 Methods

Model Structure

We performed agent-based micro simulations to examine the effects of a statins intervention

on those who are at high risk for CHD, a population-wide tobacco taxation intervention, and an

early education intervention on CHD mortality, racial gaps in CHD mortality, and Years of Life

Lost (YLLs) from CHD averted. Model input parameters are shown in table 4.1.

Model Initialization

Our population of 67,649,943 simulated agents was initialized to serve as a to-scale

approximation of white non-Hispanic men (N=28,579,389), black non-Hispanic men

(N=4,473,314), white non-Hispanic women (N=29,414,299) and black non-Hispanic women

(N=5,182,941), ages 45-64, living in all 50 United States and the District of Columbia. We

initialized our synthetic population with demographic characteristics of gender, race/ethnicity,

age and educational attainment from the American Community Survey 201513 estimates and

corresponding Public Use Microdata Sample (PUMS)14 files. Using this data, a synthetic

population of individual people within households was created, as described in Appendix 4.

Coronary Heart Disease Risk Factors

We used the National Health and Nutrition Examination Survey (NHANES),15 which is a

nationally representative probability survey, over the period of 2008-2016, to assign agents

CHD risk factor values. We excluded persons with diabetes because we used the Framingham

Page 94: Equity and Efficiency Tradeoffs in the Prevention of Heart

84

Heart Study (FHS) Hard Coronary Heart Disease 10-year risk algorithm,18 which requires the

exclusion of persons with diabetes, as a component of our statins intervention as further

described below. We divided the NHANES population into 32 strata of risk profiles, defined by

the presence of 5 binary risk factors – hypertension medication, cigarette smoking status,

systolic blood pressure (> 130 mm/HG), HDL (<50 mg/dl), and total cholesterol (>160 mg/dl),

in order to account for clustering of risk factors. We then mapped these 32 strata to our

synthetic population of white and black non-Hispanic Americans, and assigned risk factor value

sets to those population strata within our simulations. Within risk profile strata, we randomly

sampled individuals from NHANES data, in order to assign risk factor value sets, including

smoking status, systolic blood pressure, hypertension medication status, HDL cholesterol, LDL

cholesterol and total cholesterol.

Coronary Heart Disease Mortality

CHD Mortality. Coronary heart disease mortality will be assessed with the SCORE algorithm,

which predicts CHD mortality at 10 years of follow up, and is the only algorithm we are aware

of that predicts mortality related to CHD in particular. The SCORE project16 developed a set of

scoring equations for 10-year risk of fatal CHD, pooling 12 European cohort studies consisting

of 205,178 persons who experienced 5652 CHD deaths. Their risk scoring equations use as

inputs, a set of risk factors that include gender, total cholesterol, ldl cholesterol, systolic blood

pressure, smoking status, and hypertension medication treatment status.

Intervention Components and Strength

Page 95: Equity and Efficiency Tradeoffs in the Prevention of Heart

85

Statins. The statins intervention was implemented by increasing the proportion of statin use

among those who met criteria similar to that of the United States Preventive Services Task

Force recommendation of statin use for primary prevention of cardiovascular disease17 among

those with (a) 1 or more of the following risk factors: dyslipidemia (defined as LDL-C > 130

mg/dl or HDL < 40 mg/dl), hypertension (defined as systolic blood pressure of >130 mm/HG),

or smoking, and (b) greater than or equal to a 10% 10-year risk of CVD. As our simulated

cohort did not include anyone who has diabetes, we did not assess for this factor in our

intervention. As we did not compute 10-year risk of CVD in this model, we instead used 10-

year risk of hard CHD, which is defined as either myocardial infarction or death, and is assessed

with the Framingham Heart Study (FHS) Hard Coronary Heart Disease 10-year risk algorithm.18

Uptake of statins was informed by estimates of statin use from our baseline population by

race/ethnicity and gender strata. We used these estimates of statin use in our baseline

population as a proxy for expected statin uptake in our intervention, and included two

intervention scenarios among those meeting criteria similar to USPTF recommendations:

moderate uptake statins - a 300% increase, and strong uptake statins - a 500% increase in the

use of statins over 2 years. Those who took up statins in the intervention period experienced

changes in LDL (28.2% decrease) and HDL cholesterol (2.9% increase). These treatment effects

were estimated using data from a meta-analysis19 of randomized controlled trials examining the

benefits of low-moderate dose statins among those with cardiovascular risk but no history of

cardiovascular disease; no effect heterogeneity was observed for those with compared to

without diabetes. Intervention costs were estimated at $78.17/year as reflected in table 4.1,

Page 96: Equity and Efficiency Tradeoffs in the Prevention of Heart

86

including $48/year for moderate intensity statins, $19/year for a lipid panel, $1.17/year for a

liver panel, and $10/year for a Physician Visit.

Tobacco Taxes. The effect of tobacco taxes on smoking prevalence was estimated for black

and white non-Hispanic populations by gender and was estimated using a panel constructed

with smoking prevalence estimates from the BRFSS20 and taxation estimates from the STATE

system,21 adjusted for state and year fixed effects, and state level income and educational

attainment. We included two intervention scenarios – a $2 and $3 increase in combined federal

and state tobacco taxes over 2 years. Agents who quit smoking as a result of the intervention

were reassigned total cholesterol, HDL cholesterol, and systolic blood pressure sampled from

strata of non-smokers. We assumed that this intervention would not be associated with any

additional tobacco regulatory costs, and would thus not be associated with any cost for

implementation.

Education. The intervention on Education was an attempt to simulate a best-case scenario

whereby we were able to shift the distributions of some education or more among black non-

Hispanic men and women to reflect those of white non-Hispanic men and women, by state. In

order to achieve this, we took a random sample of black non-Hispanic men and women from

low education status, and reassigned their CHD risk factors to reflect those sampled from

individuals in the high education group. As this intervention was more of a hypothetical, toy

intervention, there was no specific intervention time period, and costs were not estimated.

Page 97: Equity and Efficiency Tradeoffs in the Prevention of Heart

87

Years of Life Lost

We estimated Years of Life Lost to CHD by randomizing CHD deaths observed by the end of

the SCORE algorithm 10-year fatal CHD prediction period back to specific years within the 10-

year period, and then subtracting their age at death from their life expectancy, stratified by

education status (table 4.1).

Model Calibration

We calibrated our baseline (i.e., no intervention) model to national rates of CHD deaths per

100,000, observed in the general population, as reported in the CDC WONDER22 database

(ICD CODES I20-I25). We minimized the mean squared error, through an iterative series of

informed guesses followed by a comparison of our model estimates to race-by-gender CHD

deaths per 100,000 over the period of 2008-2018. This calibration ensured that CHD risk

factors in our synthetic population predicted CHD mortality rates in a manner consistent with

actual US CHD mortality rates. This process was particularly important given that the baseline

CHD mortality estimates from the ARIC cohort, that we used to parameterize our simulations,

were derived between 1996-1998.23

Model Scenarios

1. No Intervention

2. Statins Intervention (2 levels: moderate uptake and strong uptake, among those with at least

1 CHD risk factor and >10% ten-year CHD risk)

Page 98: Equity and Efficiency Tradeoffs in the Prevention of Heart

88

3. Tobacco Tax Intervention ($2, $3 additional federal tax over 2 years)

4. Education Intervention (increasing the proportion of black non-Hispanic Americans to match

that of their white non-Hispanic counterparts, for men and women separately)

Technical Details

The model was implemented in Microsoft Visual Studio 2012 (Microsoft Corp) and developed

using C++. To account for stochasticity in the modeling process, each model scenario was run

50 times, with mean statistical effect measures reported. The overview, design concept, and

details protocol for this agent-based model is outlined in the Appendix 3, and provides an

overview of the model and submodels, pseudocode, and an elaboration of design concepts

and model details. We computed the 2.5th percentile and 97.5th percentile calculated across

those 50 simulations, but do not present credible intervals because they did not differ from

point estimates by more than 1/10th of a percent.

Key Model Assumptions

Our key model assumptions were that (1) our data inputs were representative of intervention

effects that would be experienced by the United States population, (2) CHD Deaths were

randomly distributed over the 10-year follow-up prediction period, and (3) that observed risk

factors continued at their post-intervention or no-intervention levels into the future. The central

limitation of this analysis was that we did not explicitly model competing risks of death.

Page 99: Equity and Efficiency Tradeoffs in the Prevention of Heart

89

4.4 Results

Table 4.2 shows the characteristics of our simulated cohort of white non-Hispanic men

(N=28,572,226), black non-Hispanic men (N=4,474,334), white non-Hispanic women

(N=29,412,496), and black non-Hispanic women (N=5,182,602), without any intervention, and

after each simulated intervention.

Table 4.3 shows annualized fatal CHD risk before any intervention and after each simulated

intervention. Among men, the annualized fatal CHD risk per 100,000, without any intervention,

was 140.3 for all men, 134.9 for white non-Hispanic men, and 175.4 for black non-Hispanic

men. Among women, the annualized fatal CHD risk per 100,000 without any intervention was

47.5 for all women, 41.6 for white non-Hispanic women, 80.8 for black non-Hispanic women.

Table 4.4 shows rate ratios and rate differences for men and women, comparing differences

and ratios for simulated interventions compared to no intervention. Among men overall, the

greatest rate reduction was seen for the strong uptake statins intervention [Rate Ratio

(RR)=0.92], while among women overall, the strongest rate reduction was seen for the $3 tax

(RR=0.96). The strong uptake statins intervention was associated with the strongest reduction

in fatal CHD for white non-Hispanics (RR=0.92), while the strong uptake statins intervention was

associated with the greatest reductions among black non-Hispanic men (RR=0.93); taxes were

harmful to black non-Hispanic men [$2 tax (RR=1.05); $3 tax (RR=1.08)]. Effects on the rate

difference scale were similar in ordering and magnitude across gender and race-by-gender

Page 100: Equity and Efficiency Tradeoffs in the Prevention of Heart

90

categories. Notably, large absolute increases in rate of annualized CHD deaths were observed

among black non-Hispanic men for $2 (Rate Difference [RD]=+9.3 per 100,000) and $3 tax

(RD=+13.9 per 100,000) interventions.

Table 4.5 shows Differences in Differences and Ratios of Ratios, illustrating absolute and

relative disparities in CHD mortality comparing no-intervention to tobacco taxes, statins, and

education interventions. Among men, education was associated with the greatest absolute

reduction (-7.6 CHD deaths per 100,000) in black-white disparities, compared to no

intervention, while $2 and $3 tobacco taxes were associated with large absolute increases in

black-white disparities (+11.5 and +17.3 CHD deaths per 100,000). In contrast, among women,

the $3 tobacco tax was associated with the greatest absolute decrease (-4.3 CHD deaths per

100,000). Ratio of ratio (RoR) estimates also demonstrated that among men education

interventions reduced black-white disparities in CHD mortality (RoR=0.96), while $2 and $3

tobacco taxes increased disparities in CHD mortality (RoR=1.07; RoR=1.11). Among women,

the $3 tobacco tax intervention was associated with the strongest decrease in relative racial

disparities (RoR=0.96), followed by strong uptake statins (RoR=-0.97) and education

(RoR=0.98). Among men, education was the only intervention associated with relative

decreases in racial disparities in CHD. Compared to strong uptake statins, $3 tobacco tax was

associated with increases in absolute (RD=+18.2) and relative (RR=1.09) disparities for white

and black non-Hispanic men, and was associated with decreases in absolute (RD=-1.0) and

relative (RR=0.99) disparities for white and black non-Hispanic women.

Page 101: Equity and Efficiency Tradeoffs in the Prevention of Heart

91

Table 4.6 shows Years of Life Lost averted across intervention contrasts, comparing each

intervention to no intervention, and then each tax intervention to weak uptake and strong

uptake statins respectively. For men overall, each tax and statins intervention resulted in YLLs

averted, compared to no intervention, with the greatest gains seen for the strong uptake

statins intervention (777 per 100,000). For women overall, each intervention was associated

with increases in YLLs averted, with the greatest gains seen for the $3 tobacco tax (287 per

100,000). Among white non-Hispanic men, increases in YLLs averted, compared to no

intervention, were seen for the $2 tax (253 per 100,000) and $3 tax (374 per 100,000), while for

black non-Hispanic men decreases in YLLs averted were seen for the $2 tax (-633 per 100,000)

and the $3 tax (-933 per 100,000). Increases in YLLs averted under statins were greater for

white non-Hispanic men (weak uptake, 609 per 100,000; strong uptake, 1,042 per 100,000)

than black non-Hispanic men (weak uptake, 348 per 100,000; strong uptake, 605 per 100,000).

In contrast, YLLs averted under statins were greater for black non-Hispanic women weak

uptake, 276 per 100,000; strong uptake, 466 per 100,000) than white non-Hispanic women

(weak, 92 per 100,000; $3 tax, 147 per 100,000). Comparing taxation scenarios to statins

scenarios, we can see that for men, taxation scenarios result in fewer YLLs averted per 100,000.

In contrast, among women, taxation scenarios result in greater YLLs averted, with the exception

of $2 tobacco taxes compared to strong uptake statins, which resulted in slightly fewer YLLs

averted.

Table 4.7 shows absolute total intervention costs, and costs per person for the statins

interventions. Among men overall, weak uptake statins cost $8.6 billion ($260 per person) while

Page 102: Equity and Efficiency Tradeoffs in the Prevention of Heart

92

strong uptake statins cost $10.6 billion ($322 per person). Among women overall, weak uptake

statins cost $5.6 billion ($161 per person), while strong uptake statins cost $6.2 billion ($171

per person). Costs per person were higher among white compared to black non-Hispanic men,

and higher among black compared to white non-Hispanic women.

Figures 4.1a and 4.1b show the equity-effectiveness planes for comparison of YLLs averted by

relative changes in racial disparities in CHD for men and women, comparing $2 taxation (1a)

and $3 taxation (1b) to the statin interventions. Figures 4.2a and 4.2b show the equity

effectiveness planes for comparison YLLs averted by absolute changes in racial disparities in

CHD for men and women, comparing $2 taxation (4.1a) and $3 taxation (4.1b) to the statin

interventions. For men, a $2 tax is a lose-lose intervention compared to statins (figure 4.1a),

while a $3 tax is an efficiency win and equity lose compared to weak uptake statins, but a lose-

lose compared to strong uptake statins (figure 4.1b); absolute changes follow the same

pattern, as shown in figures 4.2a and 4.2b. For women, a $2 tax is a win-win intervention

compared to weak uptake statins, but does not depart from equity or efficiency measures

compared to strong uptake statins, while a $3 tax is win-win compared to weak uptake and

strong uptake statins; absolute changes follow the same pattern, as shown in figures 4.2a and

4.2b.

Page 103: Equity and Efficiency Tradeoffs in the Prevention of Heart

93

4.5 Discussion

This simulation study shows that among men, compared to no intervention, an education

intervention was associated with the greatest reduction in racial disparities in CHD mortality

(RoR=0.96; DID=-7.6 per 100,000), while among women, a $3 tobacco tax intervention was

associated with the greatest reduction in racial disparities in CHD mortality (RoR=0.96; DID=-

4.3 per 100,000). Among men, tobacco taxes increased racial disparities in CHD mortality

(RoR=1.11; +17.3 CHD deaths per 100,000). For men overall, each tax and statins intervention

resulted in YLLs averted, compared to no intervention, with the greatest gains seen for the

strong statins intervention (777 per 100,000). For women overall, each intervention was

associated with increases in YLLs averted, with the greatest gains seen for the $3 tobacco tax

(287 per 100,000). Examining equity and effectiveness dimensions together, and comparing

statins and taxation interventions, we found that compared to statins, tobacco taxes were in

each case an equity lose intervention for men, while for women tobacco taxes were nearly

always a win-win intervention. Conversely, compared to tobacco taxes, statins are an equity

win intervention for men, and a lose-lose intervention for women.

This study offers several novel contributions to the study of EETs in health. First, we are not

aware of other studies that have explicitly examined equity efficiency tradeoffs in racial

disparities in CHD in the United States. Second, we included gender specific exposure inputs

in our simulation of the effects of tobacco taxes on CHD mortality. Third, we identified gender

differences in the EET profiles of candidate interventions.

Page 104: Equity and Efficiency Tradeoffs in the Prevention of Heart

94

Conflicting EET profiles of tobacco taxes compared to statins by gender are challenging to

integrate from a decision-making or policy perspective. Nonetheless, while simulations like

these may not provide direct guidance or deterministic recommendations, they can yield useful

information on which interventions may be optimal, which may be harmful, and for whom.

Additionally, it is worth noting that while we modeled the effects of single interventions alone

in the context of our simulations, in the “real world,” multiple interventions are often delivered

at once, and structural interventions like tobacco taxation cannot be imposed differently based

on gender. In addition, results suggesting harms from structural interventions like tobacco

taxation may provide motivation to learn how to mechanistically counteract those harms. For

example, if emergent black markets drive increases in smoking prevalence among black non-

Hispanic men following increases in tobacco taxation, improved regulatory control may reduce

this source of harm and change the EET profile of tobacco taxation for men. A more expanded

simulation could even integrate industry regulation and black-market control efforts.

If resources for intervention were unlimited, then an aspirational approach to controlling CHD

mortality nationwide could attempt to enact both high risk (e.g. statins) and population (e.g.

tobacco taxes) approaches, while making efforts to minimize iatrogenic effects of tobacco

taxation on black men. Under greater resource constraints, it could make sense to take the

population approach of tobacco taxation while focusing the high-risk approach of statins on

black non-Hispanic men, for example. Notably, while our simulation was conducted on a

national level, policy decisions are typically made with respect to smaller areas, such as states,

cities, or insurance catchments - each with their own unique set of needs and characteristics.

Page 105: Equity and Efficiency Tradeoffs in the Prevention of Heart

95

Accordingly, it is useful to be able to model the effects of a variety of interventions that target

different disease mechanisms, as we have done here, in order to identify approaches that

maximize equity and efficiency.

Prior studies on EETs in CHD are few, but mostly consistent with our findings. One prior

simulation examined EETs with a focus on CVD and economic inequities, and comparing

universal screening approaches to universal screening plus structural interventions. Kypridemos

and colleagues24 simulated the future cost effectiveness and equity of the UK’s National Health

Service (NHS) Health Check alone, which is a high-risk approach that screens individuals for

CVD risk and intervenes on identified risk factors, compared to the NHS health check plus a set

of structural interventions that reduced tobacco use through regulation and increased fruit and

vegetable consumption. They found that while optimal implementation of the NHS Health

Check was cost-effective, it did not increase equity of future CVD cases across quintiles of

income, while adding structural interventions to the NHS health Check is cost-saving and

substantially increases equity of future CVD cases across income quintiles. They did not

estimate the effects of structural interventions alone, but it is clear from their results that

structural interventions drive the preponderance of effect of the combined treatments. While

they did not estimate gender-specific effects, their results are consistent with our findings

among women, who benefitted more from tobacco taxes than a high-risk statins intervention.

Lu and colleagues examined interventions aimed at reducing inequities in CVD between white

and black non-Hispanic Americans, but did not include an efficiency lens in addition to their

equity analyses.10 They found that among both men and women, high-risk interventions on

Page 106: Equity and Efficiency Tradeoffs in the Prevention of Heart

96

dyslipidemia, hypertension and smoking cessation, based on a >2.5% cutoff for 10-year risk of

fatal CVD, were more effective in reducing racial disparities in fatal CVD among black and

white Americans than population wide interventions such as regulatory restriction of sodium in

processed foods, comprehensive tobacco control including taxation, and price increases in

sugar sweetened beverages.10 The finding for men was consistent with our findings, in that our

high-risk strategy of statins intervention based on multiple-risk-factor scoring reduced

disparities in CHD mortality, while tobacco taxation increased disparities.

There are several ways in which our results are inconsistent with prior findings that are worth

noting. First, in the study by Kypridemos and colleagues,24 structural interventions were more

effective in reducing inequities than high risk interventions – this does not apply to our findings

among men, for whom racial inequities were increased by a statins intervention. However, their

findings are more relevant to economic than racial disparities and thus not necessarily in

conflict with ours. The study by Lu and colleagues10 found that among women, statins alone are

more effective in reducing inequalities in CVD than a tobacco tax intervention, contrary to our

findings. However, the smoking intervention they modeled did not include race-specific, or

race-by-gender specific estimates of the effects of smoking interventions on tobacco use,

which our model included. Additionally, they used an intervention threshold of fatal CVD risk of

> 2.5%, whereas we used a threshold of 10% risk of hard CHD. Finally, their statins alone

intervention was not analogous to ours, as it was based on a treatment threshold of

dyslipidemia rather than a CVD risk-score threshold.

Page 107: Equity and Efficiency Tradeoffs in the Prevention of Heart

97

Our study does have several limitations that are worth noting. First, our study is a simulation

and depends on the quality of our simulation and inputs. However, we created a simulation

using an approximation of the United States that was built with demographic data from the

ACS and PUMS, and risk factors from the nationally representative NHANES study, using a

range of inputs derived from high-quality intervention estimates. Second, our smoking

intervention model is based on smoking prevalence, a less detailed and sensitive measure than

smoking frequency. Nonetheless, this is in some way a limitation of CHD risk prediction, and is

not unique to our prediction models. Third, in our tobacco tax intervention, smokers who quit

were reassigned CHD risk factors of non-smokers rather than former smokers, which would be

more appropriate. However, we conducted a sensitivity analysis examining the effect of the

smoking intervention absent a reassignment of other CHD risk factors, and found that our

estimates were not appreciably different. Fourth, we used a fatal CHD risk prediction score that

was derived from European studies. Nonetheless, we calibrated our risk prediction under no

intervention to race-by gender estimates of recent fatal CHD rates derived from WONDER.

Page 108: Equity and Efficiency Tradeoffs in the Prevention of Heart

98

4.6 Conclusion

Notwithstanding limitations, this simulation study showed that the equity-efficiency profile of

population health interventions in the context of reducing racial disparities in CHD may vary by

gender. Equalizing the distribution of education was the only intervention that reduced racial

disparities among men, while each intervention we tested (taxes, statins, education) reduced

racial disparities among women. Tobacco taxation was the most effective intervention in

reducing racial disparities among women, and did so without trading off efficiency.

Page 109: Equity and Efficiency Tradeoffs in the Prevention of Heart

99

4.6 References

1. Ford ES, Roger VL, Dunlay SM, Go AS, Rosamond WD. Challenges of Ascertaining

National Trends in the Incidence of Coronary Heart Disease in the United States. J Am

Heart Assoc. 2014;3(6):e001097-e001097. doi:10.1161/JAHA.114.001097

2. Lorenc T, Petticrew M, Welch V, Tugwell P. What types of interventions generate

inequalities? Evidence from systematic reviews. J Epidemiol Community Health.

2013;67(2):190-193. doi:10.1136/jech-2012-201257

3. Hill S, Amos A, Clifford D, Platt S. Impact of tobacco control interventions on

socioeconomic inequalities in smoking: review of the evidence. Tob Control.

2014;23(e2):e89-e97. doi:10.1136/tobaccocontrol-2013-051110

4. Thomas S, Fayter D, Misso K, et al. Population tobacco control interventions and their

effects on social inequalities in smoking: systematic review. Tob Control. 2008;17(4):230-

237. doi:10.1136/tc.2007.023911

5. Wagstaff A. QALYs and the equity-efficiency trade-off. J Health Econ. 1991;10(1):21-41.

doi:10.1016/0167-6296(91)90015-F

6. Culyer A., Wagstaff A. Equity and equality in health and health care. J Health Econ.

1993;12(4):431-457. doi:10.1016/0167-6296(93)90004-X

7. Ford ES, Ajani UA, Croft JB, et al. Explaining the Decrease in U.S. Deaths from Coronary

Disease, 1980–2000. N Engl J Med. 2007;356(23):2388-2398.

doi:10.1056/NEJMsa053935

8. Smith BT, Smith PM, Harper S, Manuel DG, Mustard CA. Reducing social inequalities in

Page 110: Equity and Efficiency Tradeoffs in the Prevention of Heart

100

health: The role of simulation modelling in chronic disease epidemiology to evaluate the

impact of population health interventions. J Epidemiol Community Health. 2014.

doi:10.1136/jech-2013-202756

9. Unal B, Capewell S, Critchley JA. Coronary heart disease policy models: A systematic

review. BMC Public Health. 2006. doi:10.1186/1471-2458-6-213

10. Lu Y, Ezzati M, Rimm EB, Hajifathalian K, Ueda P, Danaei G. Sick Populations and Sick

SubpopulationsClinical Perspective. Circulation. 2016;134(6):472-485.

doi:10.1161/CIRCULATIONAHA.115.018102

11. Marshall BDL, Galea S. Formalizing the role of agent-based modeling in causal inference

and epidemiology. Am J Epidemiol. 2015;181(2):92-99. doi:10.1093/aje/kwu274

12. Sterman JD. Learning from Evidence in a Complex World. Am J Public Health.

2006;96(3):505-514. doi:10.2105/AJPH.2005.066043

13. US Census Bureau. American Community Survey Information Guide.

https://www.census.gov/programs-surveys/acs/about/information-guide.html. Accessed

February 3, 2018.

14. American Community Survey 2018 ACS 1-Year PUMS Files ReadMe.; 2019.

https://www2.census.gov/programs-

surveys/acs/tech_docs/pums/ACS2018_PUMS_README.pdf?#.

15. Zipf G, Chiappa M, Porter KS, Lewis BG, Ostchega Y, Dostal J. National Health And

Nutrition Examination Survey: Plan and operations, 1999-2010. Vital Heal Stat Ser 1

Programs Collect Proced. 2013.

16. Conroy RM, Pyörälä K, Fitzgerald AP, et al. Estimation of ten-year risk of fatal

Page 111: Equity and Efficiency Tradeoffs in the Prevention of Heart

101

cardiovascular disease in Europe: The SCORE project. Eur Heart J. 2003.

doi:10.1016/S0195-668X(03)00114-3

17. Bibbins-Domingo K, Grossman DC, Curry SJ, et al. Statin Use for the Primary Prevention

of Cardiovascular Disease in Adults. JAMA. 2016;316(19):1997.

doi:10.1001/jama.2016.15450

18. D’Agostino RB, Grundy S, Sullivan LM, Wilson P. Validation of the Framingham coronary

heart disease prediction scores: Results of a multiple ethnic groups investigation. J Am

Med Assoc. 2001. doi:10.1001/jama.286.2.180

19. Brugts JJ, Yetgin T, Hoeks SE, et al. The benefits of statins in people without established

cardiovascular disease but with cardiovascular risk factors: Meta-analysis of randomised

controlled trials. BMJ. 2009. doi:10.1136/bmj.b2376

20. Mokdad AH. The Behavioral Risk Factors Surveillance System: Past, Present, and Future.

Annu Rev Public Health. 2009. doi:10.1146/annurev.publhealth.031308.100226

21. CDC. State Tobacco Activities Tracking and Evaluation (STATE) System.

https://www.cdc.gov/STATESystem/. Accessed March 11, 2018.

22. CDC. CDC WONDER. https://wonder.cdc.gov/. Accessed March 8, 2018.

23. Atherosclerosis Risk in Communities Study Description. http://www2.cscc.unc.edu/aric/.

Accessed July 19, 2018.

24. Kypridemos C, Collins B, McHale P, et al. Future cost-effectiveness and equity of the

NHS Health Check cardiovascular disease prevention programme: Microsimulation

modelling using data from Liverpool, UK. PLoS Med. 2018;15(5).

doi:10.1371/journal.pmed.1002573

Page 112: Equity and Efficiency Tradeoffs in the Prevention of Heart

102

4.6 Figures and tables

Figure 4.1 - Equity effectiveness planes for relative changes in racial disparities in CHD mortality (Ratio of Rate Ratios; see table 6) for (a) $2 tobacco taxes compared to statins and (b) $3 tobacco taxes compared to statins.

a

b

Page 113: Equity and Efficiency Tradeoffs in the Prevention of Heart

103

Reference - moderate statins uptake:

Abs

olut

e C

hang

e in

Yea

rs o

f Life

Los

tAbsolute Change in Racial Disparities in CHD Mortality

$3 Tobacco Tax vs. Statins

Men (Weak Statins) Women (Weak Statins)

Men (Strong Statins) Women (Strong Statins)

Abs

olut

e C

hang

e in

Yea

rs o

f Life

Los

t

Absolute Change in Racial Disparities in CHD Mortality

$3 Tobacco Tax vs. Statins

Men (Weak Statins) Women (Weak Statins)

Men (Strong Statins) Women (Strong Statins)Reference - strong statins uptake:

Abs

olut

e C

hang

e in

Yea

rs o

f Life

Los

tAbsolute Change in Racial Disparities in CHD Mortality

$3 Tobacco Tax vs. Statins

Men (Weak Statins) Women (Weak Statins)

Men (Strong Statins) Women (Strong Statins)

Ab

solu

te C

hang

e in

Yea

rs o

f Life

Lo

st

Absolute Change in Racial Disparities in CHD Mortality

$3 Tobacco Tax vs. Statins

Men (Weak Statins) Women (Weak Statins)

Men (Strong Statins) Women (Strong Statins)

Men Women

Page 114: Equity and Efficiency Tradeoffs in the Prevention of Heart

104

Figure 4.2 - Equity effectiveness planes for absolute changes in racial in annualized disparities in CHD mortality (Difference in Rate differences; see table 6) for (a) $2 tobacco taxes compared to statins and (b) $3 tobacco taxes compared to statins.

Reference - moderate statins uptake:

Abs

olut

e C

hang

e in

Yea

rs o

f Life

Los

t

Absolute Change in Racial Disparities in CHD Mortality

$3 Tobacco Tax vs. Statins

Men (Weak Statins) Women (Weak Statins)

Men (Strong Statins) Women (Strong Statins)

Abs

olut

e C

hang

e in

Yea

rs o

f Life

Los

t

Absolute Change in Racial Disparities in CHD Mortality

$3 Tobacco Tax vs. Statins

Men (Weak Statins) Women (Weak Statins)

Men (Strong Statins) Women (Strong Statins)Reference - strong statins uptake:

Abs

olut

e C

hang

e in

Yea

rs o

f Life

Los

t

Absolute Change in Racial Disparities in CHD Mortality

$3 Tobacco Tax vs. Statins

Men (Weak Statins) Women (Weak Statins)

Men (Strong Statins) Women (Strong Statins)

Ab

solu

te C

hang

e in

Yea

rs o

f Life

Lo

st

Absolute Change in Racial Disparities in CHD Mortality

$3 Tobacco Tax vs. Statins

Men (Weak Statins) Women (Weak Statins)

Men (Strong Statins) Women (Strong Statins)

Men Women

a

b

Page 115: Equity and Efficiency Tradeoffs in the Prevention of Heart

105

Table 4.1 – Model Input Parameters

Input Value Source Cost - moderate dose statins

$78.17 per year Statins Medication - $48.00/year Lipid panel - $19.00/year Liver Panel - $1.17/year Physician Visit - $10.00/year

Estimates are consistent with values used in recent simulation of primary prevention of CHD with statins.1

Life expectancy by education (Years)

White non-Hispanic men § <High school: 72.0; >Some

college: 78.2 Black non-Hispanic men

§ <High school: 65.2; >Some college: 72.3

White non-Hispanic women § <High school: 79.3; >Some

college: 82.8 Black non-Hispanic women

§ <High school: 74.4; >Some college: 77.9

Estimated by Meara and colleagues2 from Multiple Cause of Death Files and validated with the National Longitudinal Mortality Study.

Fatal CHD 10-year Survival Rate

White non-Hispanic men: 0.986 Black non-Hispanic men: 0.972 White non-Hispanic women: 0.995 Black non-Hispanic women: 0.989

Atherosclerosis Risk in Communities Study (ARIC)3

Percentage point change in smoking prevalence per $1 tobacco tax

White non-Hispanic men: -0.4% Black non-Hispanic men: +1.1% White non-Hispanic women: -0.6% Black non-Hispanic women: -1.2%

Estimated using the BRFSS4 and STATE System5

Probability of Statins Uptake Estimated as a 300% increase - moderate uptake, and 500% increase – strong uptake, in the use of statins, stratified by race-gender, among those eligible for criteria similar to USPTF guidelines for primary prevention of Cardiovascular Disease.6

300%, and 500% Increment in statin use among a synthetic population created using NHANES7 and the ACS8

Percent biomarker change associated with moderate dose statins LDL cholesterol -28.2% Calculated as the weighted

average reduction in lipid levels from RCT trials on the benefits of

statins among people without established CVD but with CVD risk

factors9

HDL cholesterol +2.9% Triglycerides

-12.2%

Page 116: Equity and Efficiency Tradeoffs in the Prevention of Heart

106

Table 4.2 – Risk Profiles Pre- and Post-Intervention

Risk Factor White and black non-

Hispanic men [N=33,053,370]

White Non-Hispanic men

(N=28,572,226)

Black non-Hispanic men

(N=4,474,334)

White and black non-Hispanic women

(N=34,596,408)

White non- Hispanic women

(N= 29,412,496)

Black non-Hispanic women

(N=5,182,602)

Pre-Intervention Education (% Some college or more) 60.0% 62.2% 46.0% 64.1% 65.4% 56.4% Age (Mean) 54.62 54.69 54.21 54.67 54.73 54.32 Total Cholesterol (Mean) 202.06 202.83 197.16 210.89 212.25 203.19 HDL Cholesterol (Mean) 49.43 48.73 53.84 61.32 61.58 59.82 Systolic Blood Pressure (Mean) 125.22 124.36 130.70 121.87 120.68 128.61 % Smokers 23.4% 21.6% 34.8% 20.4% 19.9% 23.4% % Taking hypertension medication 24.9% 24.3% 29.3% 26.5% 23.6% 42.6% % Taking statins 22.6% 23.7% 15.7% 17.4% 17.3% 17.9% % Taking statins among statin-intervention eligible

16.5%

17.0%

13.8%

16.4%

16.1%

17.1%

Post $2 Tobacco Tax Intervention Total Cholesterol (Mean) 201.84 202.49 197.71 210.38 211.81 202.30 HDL Cholesterol (Mean) 49.44 48.72 54.00 61.29 61.57 59.69 Systolic Blood Pressure (Mean) 125.23 124.31 131.11 121.79 120.64 128.36 % Smokers 22.6% 20.0% 39.2% 17.6% 17.5% 18.6%

Post $3 Tobacco Tax Intervention Total Cholesterol (Mean) 201.73 202.31 197.99 210.13 211.59 201.86 HDL Cholesterol (Mean) 49.44 48.72 54.08 61.28 61.57 59.62 Systolic Blood Pressure (Mean) 125.23 124.28 131.31 121.76 120.62 128.23 % Smokers 22.2% 19.2% 41.4% 16.3% 16.3% 16.2%

Moderate Uptake Statins

Page 117: Equity and Efficiency Tradeoffs in the Prevention of Heart

107

Total Cholesterol (Mean) 196.84 197.50 192.64 209.32 210.97 199.96 HDL Cholesterol (Mean) 49.57 48.88 54.00 61.37 61.62 59.94 % Taking statin medication 34.0% 35.2% 26.7% 20.8% 20.0% 25.4% % Taking statins among statin-intervention eligible

52.7%

53.9%

45.8%

52.5%

51.7%

54.3%

Strong Uptake Statins Total Cholesterol (Mean) 193.11 193.73 189.16 208.19 210.04 197.68 HDL Cholesterol (Mean) 49.68 48.98 54.12 61.40 61.64 60.02 % Taking statin medication 42.2% 43.3% 35.2% 23.2% 21.9% 30.7% % Taking statins among statin-intervention eligible

78.6%

80.1%

70.4%

78.5%

77.6%

80.5%

Post Education Intervention Education (% Some college or more) 62.2% - 62.1% 65.3% - 65.0% Total Cholesterol (Mean) 202.10 - 197.46 210.87 - 203.01 HDL Cholesterol (Mean) 49.32 - 53.07 61.33 - 59.91 Systolic Blood Pressure (Mean) 125.14 - 130.12 121.83 - 128.34 % Smokers 22.8% - 30.9% 20.2% - 22.0% % Taking hypertension medication 24.9 - 29.0% 26.5% - 42.8%

Page 118: Equity and Efficiency Tradeoffs in the Prevention of Heart

108

Table 4.3 – Annualized Fatal Coronary Heart Disease Rates per 100,000, under no intervention, taxation, statins and education interventions

Intervention

White and black non-Hispanic

men [N=33,053,370]

White Non-Hispanic men

(N=28,572,226)

Black non-Hispanic men

(N=4,474,334)

White and black non-Hispanic

women (N=34,596,408)

White non- Hispanic women

(N= 29,412,496)

Black non-Hispanic women

(N=5,182,602) No Intervention 140.3 134.9 175.4 47.5 41.6 80.8 $2 Tobacco Tax 139.7 132.6 184.6 46.1 40.1 77.0 $3 Tobacco Tax 139.3 131.5 189.3 45.4 40.6 75.1 Moderate Uptake Statins 134.0 128.5 168.8 46.6 41.0 78.3 Strong Uptake Statins 129.4 124.1 163.7 45.9 40.5 76.5 Education 139.3 - 167.8 47.2 - 79.2

Page 119: Equity and Efficiency Tradeoffs in the Prevention of Heart

109

Table 4.4 – Rate Ratios and Rate Differences comparing tobacco taxation, statins, and education intervention to no intervention within population on annualized fatal coronary heart disease per 100,000

Intervention

White and black non-Hispanic

men [N=33,053,370]

White Non-Hispanic men

(N=28,572,226)

Black non-Hispanic men

(N=4,474,334)

White and black non-Hispanic

women (N=34,596,408)

White non- Hispanic women

(N= 29,412,496)

Black non-Hispanic women

(N=5,182,602) Rate Ratios

No Intervention 1 1 1 1 1 1 $2 Tobacco Tax 1.00 0.98 1.05 0.97 0.98 0.95 $3 Tobacco Tax 0.99 0.97 1.08 0.96 0.96 0.93 Moderate Uptake Statins 0.95 0.95 0.96 0.98 0.98 0.97 Strong Uptake Statins 0.92 0.92 0.93 0.97 0.97 0.95 Education 0.99 - 0.96 0.99 - 0.98

Rate Differences No Intervention - - - - - - $2 Tobacco Tax -0.7 -2.2 9.3 -1.4 -1.0 -3.8 $3 Tobacco Tax -1.0 -3.4 13.9 -2.1 -1.5 -5.7 Moderate Uptake Statins -6.4 -6.3 -6.6 -0.9 -0.6 -2.6 Strong Uptake Statins -10.9 -10.8 -11.7 -1.6 -1.1 -4.4 Education -1.0 - -7.6 -0.2 - -1.6

Page 120: Equity and Efficiency Tradeoffs in the Prevention of Heart

110

Table 4.5 – Ratio of Ratios and Differences in Differences comparing changes in racial disparities in annualized fatal CHD rates per 100,000 under no-intervention compared to taxation, statins and education intervention, and taxation compared to statins interventions.

Difference in Differences* Ratio of Ratios**

Intervention

Black vs. white non-Hispanic

men [N=33,053,370]

Black vs. white non-Hispanic

women (N=34,596,408)

Black vs. white non-Hispanic

men [N=33,053,370]

Black vs. white non-Hispanic

women (N=34,596,408)

No intervention reference group $2 Tobacco Tax 11.5 -2.9 1.07 0.98 $3 Tobacco Tax 17.3 -4.3 1.11 0.96 Moderate Uptake Statins -0.3 -1.9 1.01 0.98 Strong Uptake Statins -0.9 -3.2 1.01 0.97 Education -7.6 -1.6 0.96 0.98

Moderate Uptake Statins reference group $2 Tobacco Tax 11.8 -0.9 1.06 0.99 $3 Tobacco Tax 17.6 -2.4 1.10 0.98

Strong Uptake Statins reference group $2 Tobacco Tax 12.4 0.4 1.06 1 $3 Tobacco Tax 18.2 -1.0 1.09 0.99 *Difference in differences = RDBNH - WNH Post – RDBNH/WNH Pre; negative numbers indicate decreases in disparities for black compared to white non-Hispanic persons, positive numbers indicate increases in disparities **Ratio of ratios = (RRBNH/WNH Post)/ (RRBNH/WNH Pre) for each intervention; number less than 1 represent decreases in disparities for black compared to white non-Hispanic persons, numbers greater than 1 indicate increases in disparities

Page 121: Equity and Efficiency Tradeoffs in the Prevention of Heart

111

Table 4.6 – Years of Life Lost Averted by over the 10-year follow-up period

Intervention

White and black non-Hispanic

men (N=33,053,370)

Total YLLs Averted

(# Per 100,000)

White Non-Hispanic men

(N=28,579,037)

Total YLLs Averted

(# Per 100,000)

Black non-Hispanic men

(N=4,474,334)

Total YLLs Averted

(# Per 100,000)

White and black non-Hispanic

women (N=34,596,408)

Total YLLs Averted

(# Per 100,000)

White non- Hispanic women

(N=29,413,806)

Total YLLs Averted

(# Per 100,000)

Black non-Hispanic women

(N=5,182,602)

Total YLLs Averted

(# Per 100,000) Compared to No Intervention

$2 Tobacco Tax 80,819 (245)

72,374 (253)

-28,335 (-633)

66,376 (192)

42,298 (144)

24,078 (465)

$3 Tobacco Tax 119,602 (362)

106,946 (374)

-41,748 (-933)

99,383 (287)

63,565 (216)

35,818 (691)

Moderate Uptake Statins 101,920 (308)

173,910 (609)

15,568 (348)

41,343 (120)

27,017 (92)

14,323 (276)

Strong Uptake Statins 256,691 (777)

297,862 (1,042)

27,057 (605)

67,288 (194)

43,120 (147)

24,168 (466)

Compared to Statins Weak $2 Tobacco Tax -21,101

(-64) -101,536

(-355) -43,903 (-981)

25,033 (72)

15,281 (52)

9,752 (188)

$3 Tobacco Tax -17,682 (-53)

-66,963 (-234)

-57,316 (-1,281)

58,040 (168)

36,548 (124)

21,492 (415)

Compared to Statins Stronger $2 Tobacco Tax -175,873

(-532) -225,488

( -789) -55,392 (-1,238)

-911 (-3)

-822 (-3)

-90 (-2)

$3 Tobacco Tax -137,090 (-415)

-190,915 (-668)

-68,805 (-1,538)

32,095 (93)

20,445 (70)

11,650 (215)

Page 122: Equity and Efficiency Tradeoffs in the Prevention of Heart

112

Table 4.7 – Statin Intervention Costs Over the 10-year period

Intervention

White and black non-Hispanic men (N=33,053,370)

Total Cost

(Cost Per Person)

White Non-Hispanic men (N=28,579,037)

Total Cost

(Cost Per Person)

Black non-Hispanic men (N=4,474,334)

Total Cost

(Cost Per Person)

White and black non-Hispanic women (N=34,596,408)

Total Cost

(Cost Per Person)

White non- Hispanic women (N=29,413,806)

Total Cost

(Cost Per Person)

Black non-Hispanic women (N=5,182,602)

Total Cost

(Cost Per Person) Moderate Uptake Statins $8,589,230,456

($260) $7,681,002,610

($269) $908,227,846

($203) $5,556,200,226

($161) $4,545,474,980

($155) $1,010,725,246

($195) Strong Uptake Statins $10,639,219,073

($322) $9,444,914,000

($330) $1,194,305,073

($267) $6,196,482,743

($171) $4,976,992,040

($169) $1,219,490,703

($235)

Page 123: Equity and Efficiency Tradeoffs in the Prevention of Heart

113

Chapter 5: Conclusion

Long-standing racial gaps in CHD mortality have continued into the 21st century. A tremendous

amount of scientific work has focused on trying to understand and explain the root causes of

these racial inequities, while comparatively less attention has been paid to understanding the

effects of interventions focused on reducing these gaps. This dissertation provides an

illustrative study of equity efficiency tradeoffs in fatal CHD, comparing black non-Hispanic to

white non-Hispanic Americans. First, we conducted a scoping literature review of equity,

efficiency and their tradeoffs across CVDs, identifying and summarizing prior work on EETs

within this area. Second, we provided evidence on the race-gender specific effects of changes

in tobacco taxation on smoking prevalence and CHD mortality. Third, we performed agent-

based microsimulations to study the effects of taxation ($2 and $3 tobacco tax), pharmaceutical

(Statins), and early education interventions on racial gaps in CHD mortality, examining equity

efficiency tradeoffs between taxation and statins interventions.

5.1 Dissertation Findings

Our scoping review of EETs in cardiovascular disease (Chapter 2) yielded a very small number

of studies – only 6, that have explicitly engaged equity and efficiency, and provided

information on their trade-offs in the context of CVDs broadly. This paucity of extant studies

precludes the drawing of any clear and crosscutting conclusions about which types

interventions are most likely to minimize tradeoffs between equity and efficiency. Nonetheless,

Page 124: Equity and Efficiency Tradeoffs in the Prevention of Heart

114

the empirical studies we identified demonstrated 2 important lessons. First, movement toward

equity in the context of high-risk interventions may be achieved by specially targeting deprived

populations. Second, pairing structural interventions with high risk interventions can provide

substantial movement toward not only efficiency, but also equity. We identified a small but

emergent field of scientific investigation into EETs in CVDs. Notably, all identified empirical

studies were simulations, and future research could benefit the field by providing experimental

and quasi-experimental observational data. Much work remains in the effort to integrate

considerations of equity and EETs into evaluations of population health interventions on CVD.

Our nationally representative observational, state-level, panel study of the effects of tobacco

taxation on smoking prevalence and CHD mortality by race and gender (Chapter 3) identified

clear effects for both outcomes and heterogeneous effects on smoking prevalence. We

showed that between 2005 and 2016, tobacco taxation was associated with reductions in age-

adjusted smoking prevalence 1 year later, for white non-Hispanic men and women and black

non-Hispanic women, and increases in smoking prevalence among black non-Hispanic men.

Tobacco taxes were also associated with reductions in the rate of CHD mortality 2 years later.

Taxation effects across race-ethnicity and gender were heterogeneous for changes in smoking

prevalence and homogeneous for changes in CHD mortality. The strongest reductions in

smoking prevalence were observed among black non-Hispanic women, while a potential

increase was observed among black non-Hispanic men. Tobacco taxation appears to be an

effective population health intervention on cigarette smoking prevalence and coronary heart

disease mortality.

Page 125: Equity and Efficiency Tradeoffs in the Prevention of Heart

115

Our simulation study (Chapter 4) shows that among men, compared to no intervention, an

education intervention was associated with the greatest reduction in racial disparities in CHD

mortality, while among women, a $3 tobacco tax intervention was associated with the greatest

reduction in racial disparities in CHD mortality. Among men, tobacco taxes increased racial

disparities in CHD mortality. For men overall, each tax and statins intervention resulted in

reductions in YLLs to CHD mortality, compared to no intervention, with the greatest gains seen

for the strong statins intervention. For women overall, each intervention was associated with

reductions in YLLs due to CHD mortality, with the greatest gains seen for the $3 tobacco tax.

Examining equity and effectiveness dimensions together, and comparing statins and taxation

interventions, we found that compared to statins, tobacco taxes were an equity lose in all cases

for men. For women, in contrast, tobacco taxes were nearly always a win-win intervention.

Conversely, compared to tobacco taxes, statins are an equity win intervention for men, and a

lose-lose intervention for women. Overall, we showed in this simulation study, that the equity-

efficiency profile of population health interventions in the context of reducing racial disparities

in CHD may vary by gender. Among men, equalizing the distribution of education was the only

intervention that reduced racial disparities, while among women, each intervention we tested

(taxes, statins, education) reduced racial disparities. Tobacco taxation was the most effective

intervention in reducing racial disparities among women, and did so without trading off

efficiency.

Page 126: Equity and Efficiency Tradeoffs in the Prevention of Heart

116

5.2 Public health policy implications and future directions

The key public health policy implication of this work is that the effectiveness, and racial equity

effects of population health interventions are heterogeneous by gender. By extension, EETs

likely differ by gender. That heterogeneity should be embraced in work that aims to reduce

racial inequities in CHD mortality and work that examines EETs to that end.

Another public health policy implication is that tobacco taxes are an effective policy lever for

reducing CHD mortality. Prior studies have suggested this, but we convincingly identified these

associations in a detailed and recent set of nationally representative data. Nonetheless, we

need to be careful in considering the unintended consequences that can come with increases

in tobacco taxation, including the potential for increases in smoking among populations that

are particularly vulnerable to the targeting efforts of the tobacco companies. Further, it is

imperative that we characterize and understand the race and gender specific effects of other

policy levers that impact CHD, such as soda taxes and early education interventions like Head

Start.

An overarching theme of this work is the strength and utility of EET approaches to evaluating

putative population health interventions aimed at reducing racial inequities in health. Despite

the promise of this approach, it has been underutilized in the public health literature on

socioeconomic inequities in CHD, and essentially unutilized in the literature on racial

inequalities in CHD.

Page 127: Equity and Efficiency Tradeoffs in the Prevention of Heart

117

Our studies suggest several future directions for researchers. First these studies highlight the

need for much additional scientific work in the efforts to understand population health

intervention strategies that optimally maximize equity and efficiency in CHD, and CVD more

broadly. This work could benefit greatly from explicit formulations of EETs. Second, the field

would benefit from the examination of racial and ethnic inequities in CHD health care, in order

to understand their influence on inequities in CHD health and mortality. Third, future research

could productively give more focus to non-healthcare-based interventions (e.g. taxation,

education) that have effects on CHD. Fourth, the effects of tobacco taxes on smoking behavior

and CHD should be further examined by age, income and education groups, in order to more

broadly understand the dynamics of this ongoing population health intervention on various

equity dimensions. Finally, future studies on EETs in CHD could productively examine CHD

incidence rather than mortality as an outcome.

Page 128: Equity and Efficiency Tradeoffs in the Prevention of Heart

118

Appendix 1 Appendix figures 1.1a-f – Age-stratified CHD Deaths per 100,000 among black, compared to white non-Hispanic men and women: 1968-2016

a

b

d

e

0

20

40

60

80

100

120

140

160

180

1968

1970

1972

1974

1976

1978

1980

1982

1984

1986

1988

1990

1992

1994

1996

1998

2000

2002

2004

2006

2008

2010

2012

2014

2016A

ge A

djus

ted

CH

D D

eath

s (p

er 1

00,0

00)

Ages 35-44

White Males

Black Men

White Women

Black Women

0

50

100

150

200

250

300

350

400

450

500

1968

1970

1972

1974

1976

1978

1980

1982

1984

1986

1988

1990

1992

1994

1996

1998

2000

2002

2004

2006

2008

2010

2012

2014

2016A

ge A

djus

ted

CH

D D

eath

s (p

er 1

00,0

00)

Ages 45-54

White Men

Black Men

White Women

Black Women

0

500

1000

1500

2000

2500

1968

1971

1974

1977

1980

1983

1986

1989

1992

1995

1998

2001

2004

2007

2010

2013

2016A

ge A

djus

ted

CH

D D

eath

s (p

er 1

00,0

00)

Ages 65-74

White Men

Black Men

White Women

Black Women

0

500

1000

1500

2000

2500

3000

3500

4000

4500

5000

1968

1971

1974

1977

1980

1983

1986

1989

1992

1995

1998

2001

2004

2007

2010

2013

2016A

ge A

djus

ted

CH

D D

eath

s (p

er 1

00,0

00)

Ages 75-84

White Men

Black Men

White Women

Black Women

Page 129: Equity and Efficiency Tradeoffs in the Prevention of Heart

119

c

f

0

200

400

600

800

1000

1200

1968

1971

1974

1977

1980

1983

1986

1989

1992

1995

1998

2001

2004

2007

2010

2013

2016A

ge A

djus

ted

CH

D D

eath

s (p

er 1

00,0

00)

Ages 55-64

White Men

Black Men

White Women

Black Women

0

2000

4000

6000

8000

10000

12000

1968

1971

1974

1977

1980

1983

1986

1989

1992

1995

1998

2001

2004

2007

2010

2013

2016A

ge A

djus

ted

CH

D D

eath

s (p

er 1

00,0

00)

Ages 85+

White Men

Black Men

White Women

Black Women

Page 130: Equity and Efficiency Tradeoffs in the Prevention of Heart

120

Appendix 2 Appendix Table 2.1 – Search Terms

Database Name Hits Search Query Embase 663 ('cardiovascular disease'/exp OR 'cardiovascular' OR 'coronary' OR 'myocardial'

OR 'heart' OR 'cardiac' OR 'stroke' OR 'strokes' OR 'apoplexy' OR 'cardiomyopathy' OR 'cerebrovascular' OR 'vascular' OR 'blood vessel' OR 'blood vessels' OR 'pericardium') AND ('health equity'/exp OR 'health care disparity'/exp OR 'health disparity'/exp OR 'equity' OR 'equitable' OR 'parity' OR 'equality' OR 'disparity' OR 'disparities' OR 'inequity' OR 'inequitable' OR 'inequities' OR 'inequality') AND ('productivity'/exp OR 'efficiency' OR 'efficient' OR 'efficiently' OR 'inefficiency' OR 'inefficient' OR 'inefficiently' OR 'productivity' OR 'productive' OR 'productively' OR 'nonproductive' OR 'unproductive' OR 'counterproductive' OR 'efficacy' OR 'efficaciously' OR 'efficaciousness' OR 'inefficacy' OR 'inefficaciously' OR 'inefficaciousness' OR 'effective' OR 'effectiveness' OR 'effectively' OR 'ineffective' OR 'ineffectiveness' OR 'ineffectively' OR 'ineffectual' OR 'ineffectually') AND ('cost benefit analysis'/exp OR 'cost effectiveness analysis'/exp OR 'trade-off' OR 'trade-offs' OR 'tradeoff' OR 'tradeoffs' OR 'trading off' OR 'Cost Benefit' OR 'Cost-Benefits' OR 'Costs-Benefit' OR 'Costs-Benefits' OR 'Cost-Effect' OR 'Cost Effects' OR 'Costs-Effect' OR 'Costs-Effects' OR 'Cost-Utility' OR 'Economic Evaluation' OR 'Economic Evaluations' OR 'Marginal Analysis' OR 'Marginal Analyses' OR 'Cost and Benefit' OR 'Costs and Benefit' OR 'Cost and Benefits' OR 'Costs and Benefits' OR 'Benefit and Cost' OR 'Benefits and Cost' OR 'Benefit and Costs' OR 'Benefits and Costs' OR 'Cost and Effect' OR 'Costs and Effect' OR 'Cost and Effects' OR 'Costs and Effects' OR 'Effect and Cost' OR 'Effects and Cost' OR 'Effect and Costs' OR 'Effects and Costs' OR 'cost-efficiency' OR 'cost-efficient' OR 'cost-efficiently' OR 'cost-inefficiency' OR 'cost-inefficient' OR 'cost-inefficiently' OR 'cost productivity' OR 'cost-productive' OR 'cost-productively' OR 'cost-nonproductive' OR 'cost-

Page 131: Equity and Efficiency Tradeoffs in the Prevention of Heart

121

unproductive' OR 'cost-counterproductive' OR 'cost-efficacy' OR 'cost-efficaciously' OR 'cost-efficaciousness' OR 'cost-inefficacy' OR 'cost-inefficaciously' OR 'cost-inefficaciousness' OR 'cost-effective' OR 'cost effectiveness' OR 'cost-effectively' OR 'cost-ineffective' OR 'cost-ineffectiveness' OR 'cost ineffectively' OR 'cost-ineffectual' OR 'cost-ineffectually')

Pubmed 217 ("Cardiovascular Diseases"[Mesh] OR “cardiovascular”[tw] OR “coronary”[tw] OR “myocardial”[tw] OR “heart”[tw] OR “cardiac”[tw] OR “stroke”[tw] OR “strokes”[tw] OR “apoplexy”[tw] OR “cardiomyopathy”[tw] OR “cerebrovascular”[tw] OR “vascular”[tw] OR “blood vessel”[tw] OR “blood vessels”[tw] OR “pericardium”[tw]) AND ("Health Equity"[Mesh] OR "Healthcare Disparities"[Mesh] OR "Health Status Disparities"[Mesh] OR “equity”[tw] OR “equitable”[tw] OR “parity”[tw] OR “equality”[tw] OR “disparity”[tw] OR “disparities”[tw] OR “inequity”[tw] OR “inequitable”[tw] OR “inequities”[tw] OR “inequality”[tw]) AND ("Efficiency"[Mesh] OR “efficiency”[tw] OR “efficient”[tw] OR “efficiently”[tw] OR “inefficiency”[tw] OR “inefficient”[tw] OR “inefficiently”[tw] OR “productivity”[tw] OR “productive”[tw] OR “productively”[tw] OR “nonproductive”[tw] OR “unproductive”[tw] OR “counterproductive”[tw] OR “efficacy”[tw] OR “efficaciously”[tw] OR “efficaciousness”[tw] OR “inefficacy”[tw] OR “inefficaciously”[tw] OR “inefficaciousness”[tw] OR “effective”[tw] OR “effectiveness”[tw] OR “effectively”[tw] OR “ineffective”[tw] OR “ineffectiveness”[tw] OR “ineffectively”[tw] OR “ineffectual”[tw] OR “ineffectually”[tw]) AND ("Cost-Benefit Analysis"[Mesh] OR “trade-off”[tw] OR “trade-offs”[tw] OR “tradeoff”[tw] OR “tradeoffs”[tw] OR “trading off”[tw] OR "Cost-Benefit"[tw] OR "Cost-Benefits"[tw] OR "Costs-Benefit"[tw] OR "Costs-Benefits"[tw] OR “Cost-Effect”[tw] OR “Cost-Effects”[tw] OR “Costs-Effect”[tw] OR “Costs-Effects”[tw] OR "Cost-Utility”[tw] OR "Economic Evaluation"[tw] OR "Economic Evaluations"[tw] OR "Marginal Analysis"[tw] OR "Marginal Analyses"[tw] OR “Cost and Benefit”[tw] OR “Costs and Benefit”[tw] OR “Cost and Benefits”[tw] OR "Costs and Benefits"[tw] OR “Benefit and Cost”[tw] OR “Benefits and Cost”[tw] OR “Benefit and Costs”[tw] OR "Benefits and Costs"[tw] OR “Cost and Effect”[tw] OR “Costs and Effect”[tw]

Page 132: Equity and Efficiency Tradeoffs in the Prevention of Heart

122

OR “Cost and Effects”[tw] OR "Costs and Effects"[tw] OR “Effect and Cost”[tw] OR “Effects and Cost”[tw] OR “Effect and Costs”[tw] OR "Effects and Costs"[tw] OR “cost-efficiency”[tw] OR “cost efficient”[tw] OR “cost-efficiently”[tw] OR “cost-inefficiency”[tw] OR “cost-inefficient”[tw] OR “cost-inefficiently”[tw] OR “cost-productivity”[tw] OR “cost-productive”[tw] OR “cost-productively”[tw] OR “cost-nonproductive”[tw] OR “cost-unproductive”[tw] OR “cost counterproductive”[tw] OR “cost-efficacy”[tw] OR “cost-efficaciously”[tw] OR “cost efficaciousness”[tw] OR “cost-inefficacy”[tw] OR “cost-inefficaciously”[tw] OR “cost inefficaciousness”[tw] OR “cost-effective”[tw] OR “cost-effectiveness”[tw] OR “cost effectively”[tw] OR “cost-ineffective”[tw] OR “cost-ineffectiveness”[tw] OR “cost ineffectively”[tw] OR “cost-ineffectual”[tw] OR “cost-ineffectually”[tw])

Page 133: Equity and Efficiency Tradeoffs in the Prevention of Heart

123

Web of Science 276 TS=("cardiovascular" OR "coronary" OR "myocardial" OR "heart" OR "cardiac" OR "stroke" OR "strokes" OR "apoplexy" OR "cardiomyopathy" OR "cerebrovascular" OR "vascular" OR "blood vessel" OR "blood vessels" OR "pericardium") AND TS=("equity" OR "equitable" OR "parity" OR "equality" OR "disparity" OR "disparities" OR "inequity" OR "inequitable" OR "inequities" OR "inequality") AND TS=("efficiency" OR "efficient" OR "efficiently" OR "inefficiency" OR "inefficient" OR "inefficiently" OR "productivity" OR "productive" OR "productively" OR "nonproductive" OR "unproductive" OR "counterproductive" OR "efficacy" OR "efficaciously" OR "efficaciousness" OR "inefficacy" OR "inefficaciously" OR "inefficaciousness" OR "effective" OR "effectiveness" OR "effectively" OR "ineffective" OR "ineffectiveness" OR "ineffectively" OR "ineffectual" OR "ineffectually") AND TS=("trade-off" OR "trade-offs" OR "tradeoff" OR "tradeoffs" OR "trading off" OR "Cost-Benefit" OR "Cost-Benefits" OR "Costs-Benefit" OR "Costs-Benefits" OR "Cost-Effect" OR "Cost-Effects" OR "Costs-Effect" OR "Costs-Effects" OR "Cost-Utility" OR "Economic Evaluation" OR "Economic Evaluations" OR "Marginal Analysis" OR "Marginal Analyses" OR "Cost and Benefit" OR "Costs and Benefit" OR "Cost and Benefits" OR "Costs and Benefits" OR "Benefit and Cost" OR "Benefits and Cost" OR "Benefit and Costs" OR "Benefits and Costs" OR "Cost and Effect" OR "Costs and Effect" OR "Cost and Effects" OR "Costs and Effects" OR "Effect and Cost" OR "Effects and Cost" OR "Effect and Costs" OR "Effects and Costs" OR "cost-efficiency" OR "cost-efficient" OR "cost-efficiently" OR "cost-inefficiency" OR "cost-inefficient" OR "cost-inefficiently" OR "cost-productivity" OR "cost productive" OR "cost-productively" OR "cost-nonproductive" OR "cost-unproductive" OR "cost counterproductive" OR "cost-efficacy" OR "cost-efficaciously" OR "cost-efficaciousness" OR "cost-inefficacy" OR "cost-inefficaciously" OR "cost-inefficaciousness" OR "cost-effective" OR "cost-effectiveness" OR "cost-effectively" OR "cost-ineffective" OR "cost-ineffectiveness" OR "cost-ineffectively" OR "cost-ineffectual" OR "cost-ineffectually")

Page 134: Equity and Efficiency Tradeoffs in the Prevention of Heart

124

Business Source Complete 20 ("cardiovascular" OR "coronary" OR "myocardial" OR "heart" OR "cardiac" OR "stroke" OR "strokes" OR "apoplexy" OR "cardiomyopathy" OR "cerebrovascular" OR "vascular" OR "blood vessel" OR "blood vessels" OR "pericardium") AND ("equity" OR "equitable" OR "parity" OR "equality" OR "disparity" OR "disparities" OR "inequity" OR "inequitable" OR "inequities" OR "inequality") AND ("efficiency" OR "efficient" OR "efficiently" OR "inefficiency" OR "inefficient" OR "inefficiently" OR "productivity" OR "productive" OR "productively" OR "nonproductive" OR "unproductive" OR "counterproductive" OR "efficacy" OR "efficaciously" OR "efficaciousness" OR "inefficacy" OR "inefficaciously" OR "inefficaciousness" OR "effective" OR "effectiveness" OR "effectively" OR "ineffective" OR "ineffectiveness" OR "ineffectively" OR "ineffectual" OR "ineffectually") AND ("trade-off" OR "trade-offs" OR "tradeoff" OR "tradeoffs" OR "trading off" OR "Cost-Benefit" OR "Cost-Benefits" OR "Costs-Benefit" OR "Costs-Benefits" OR "Cost-Effect" OR "Cost-Effects" OR "Costs-Effect" OR "Costs-Effects" OR "Cost-Utility" OR "Economic Evaluation" OR "Economic Evaluations" OR "Marginal Analysis" OR "Marginal Analyses" OR "Cost and Benefit" OR "Costs and Benefit" OR "Cost and Benefits" OR "Costs and Benefits" OR "Benefit and Cost" OR "Benefits and Cost" OR "Benefit and Costs" OR "Benefits and Costs" OR "Cost and Effect" OR "Costs and Effect" OR "Cost and Effects" OR "Costs and Effects" OR "Effect and Cost" OR "Effects and Cost" OR "Effect and Costs" OR "Effects and Costs" OR "cost efficiency" OR "cost-efficient" OR "cost-efficiently" OR "cost-inefficiency" OR "cost-inefficient" OR "cost-inefficiently" OR "cost-productivity" OR "cost-productive" OR "cost-productively" OR "cost-nonproductive" OR "cost-unproductive" OR "cost-counterproductive" OR "cost-efficacy" OR "cost-efficaciously" OR "cost-efficaciousness" OR "cost-inefficacy" OR "cost-inefficaciously" OR "cost-inefficaciousness" OR "cost-effective" OR "cost-effectiveness" OR "cost-effectively" OR "cost-ineffective" OR "cost-ineffectiveness" OR "cost-ineffectively" OR "cost-ineffectual" OR "cost-ineffectually")

Page 135: Equity and Efficiency Tradeoffs in the Prevention of Heart

125

EconLit 16 ("cardiovascular" OR "coronary" OR "myocardial" OR "heart" OR "cardiac" OR "stroke" OR "strokes" OR "apoplexy" OR "cardiomyopathy" OR "cerebrovascular" OR "vascular" OR "blood vessel" OR "blood vessels" OR "pericardium") AND ("equity" OR "equitable" OR "parity" OR "equality" OR "disparity" OR "disparities" OR "inequity" OR "inequitable" OR "inequities" OR "inequality") AND ("efficiency" OR "efficient" OR "efficiently" OR "inefficiency" OR "inefficient" OR "inefficiently" OR "productivity" OR "productive" OR "productively" OR "nonproductive" OR "unproductive" OR "counterproductive" OR "efficacy" OR "efficaciously" OR "efficaciousness" OR "inefficacy" OR "inefficaciously" OR "inefficaciousness" OR "effective" OR "effectiveness" OR "effectively" OR "ineffective" OR "ineffectiveness" OR "ineffectively" OR "ineffectual" OR "ineffectually") AND ("trade-off" OR "trade-offs" OR "tradeoff" OR "tradeoffs" OR "trading off" OR "Cost-Benefit" OR "Cost-Benefits" OR "Costs-Benefit" OR "Costs-Benefits" OR "Cost-Effect" OR "Cost-Effects" OR "Costs-Effect" OR "Costs-Effects" OR "Cost-Utility" OR "Economic Evaluation" OR "Economic Evaluations" OR "Marginal Analysis" OR "Marginal Analyses" OR "Cost and Benefit" OR "Costs and Benefit" OR "Cost and Benefits" OR "Costs and Benefits" OR "Benefit and Cost" OR "Benefits and Cost" OR "Benefit and Costs" OR "Benefits and Costs" OR "Cost and Effect" OR "Costs and Effect" OR "Cost and Effects" OR "Costs and Effects" OR "Effect and Cost" OR "Effects and Cost" OR "Effect and Costs" OR "Effects and Costs" OR "cost efficiency" OR "cost-efficient" OR "cost-efficiently" OR "cost-inefficiency" OR "cost-inefficient" OR "cost-inefficiently" OR "cost-productivity" OR "cost-productive" OR "cost-productively" OR "cost-nonproductive" OR "cost-unproductive" OR "cost-counterproductive" OR "cost-efficacy" OR "cost-efficaciously" OR "cost-efficaciousness" OR "cost-inefficacy" OR "cost-inefficaciously" OR "cost-inefficaciousness" OR "cost-effective" OR "cost-effectiveness" OR "cost-effectively" OR "cost-ineffective" OR "cost-ineffectiveness" OR "cost-ineffectively" OR "cost-ineffectual" OR "cost-ineffectually")

Sum of references 1192

Page 136: Equity and Efficiency Tradeoffs in the Prevention of Heart

126

Appendix 3 Appendix Figure 3.1 – Spaghetti plot of total combined state and federal tobacco tax by state: 2005-2016

*Taxes represented in 2016 dollars

Page 137: Equity and Efficiency Tradeoffs in the Prevention of Heart

127

Appendix Figure 3.2 - National estimates of the proportion of some college or more by year‡

‡ weighted by each state-year by strata of race/ethnicity by gender with denominators from the American Community Survey

35%

40%

45%

50%

55%

60%

65%

2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016

Perc

ent w

ith S

ome

Col

lege

or

Gre

ater

Edu

catio

nal A

ttai

nmen

t

Year

white non-Hispanic men white non-Hispanic women

black non-Hispanic men black non-Hispanic women

Page 138: Equity and Efficiency Tradeoffs in the Prevention of Heart

128

Appendix Figure 3.3 – National estimates of real median per capita income by year‡

‡- weighted by each state-year by strata of race/ethnicity by gender with denominators from the American Community Survey

15,000

20,000

25,000

30,000

35,000

40,000

45,000

50,000

2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016

Real

Per

Cap

ita M

edia

n In

com

e (2

016

$)

Yearwhite non-Hispanic men white non-Hispanic women

black non-Hispanic men black non-Hispanic women

Page 139: Equity and Efficiency Tradeoffs in the Prevention of Heart

129

Appendix Figure 3.4 – Effects of total cigarette taxes, per $1 tax, on smoking prevalence: 0 to 5-year lags*

*Estimated in 6 separate models analogous to model 1.1, but with variation in lag of taxation effects

Page 140: Equity and Efficiency Tradeoffs in the Prevention of Heart

130

Appendix Figure 3.5 – Effects of total cigarette taxes, per $1 tax, on CHD Mortality: 0 to 5-year lags*

*Estimated in 6 separate models analogous to model 2.1, but with variation in lag of taxation effects

Page 141: Equity and Efficiency Tradeoffs in the Prevention of Heart

131

Appendix Table 3.1 – Weighted Frequencies from the ACS and BRFSS, by study year, gender, race/ethnicity and the combination of gender and race/ethnicity

ACS Population Frequency

BRFSS Weighted Population Frequency

ACS Population Frequency

BRFSS Weighted Population Frequency

ACS Population Frequency

BRFSS Weighted Population Frequency

ACS Population Frequency

BRFSS Weighted Population Frequency

Population Strata 2005 2006 2007 2008

Overall 126,049,991 126,245,221 130,555,331 128,040,936 131,408,369 131,252,313 132,228,255 130,511,937

Men 59,487,921 58,863,290 61,693,778 59,939,520 62,130,621 61,454,969 62,530,646 61,100,576

Women 66,562,070 67,381,931 68,861,553 68,101,416 69,277,748 69,797,345 69,697,609 69,411,361

White non-Hispanic 110,732,415 112,618,481 114,194,457 114,306,548 114,815,414 116,689,386 115,358,861 115,365,190

Black non-Hispanic 15,317,576 13,626,740 16,360,874 13,734,388 16,592,955 14,562,927 16,869,394 15,146,747

White Non-Hispanic 52,867,764 52,906,680 54,404,997 53,918,614 54,743,051 54,943,173 55,025,089 54,304,407

Black Non-Hispanic 6,620,157 5,956,610 7,288,781 6,020,906 7,387,570 6,511,795 7,505,557 6,796,170

White Non-Hispanic 57,864,651 59,711,800 59,789,460 60,387,934 60,072,363 61,746,213 60,333,772 61,060,783

Black Non-Hispanic 8,697,419 7,670,130 9,072,093 7,713,483 9,205,385 8,051,131 9,363,837 8,350,577

Population Strata 2009 2010 2011 2012

Overall 132,522,623 133,191,002 133,603,140 140,168,222 134,166,142 132,171,331 134,769,423 133,262,350

Men 62,678,145 62,373,406 63,473,793 65,890,580 63,766,872 61,675,260 64,108,987 62,519,555

Women 69,844,478 70,817,596 70,129,347 74,277,642 70,399,270 70,496,071 70,660,436 70,742,795

White non-Hispanic 115,547,948 117,253,142 115,962,083 124,179,189 116,288,380 115,294,207 116,660,319 115,117,636

Black non-Hispanic 16,974,675 15,937,861 17,641,057 15,989,033 17,877,762 16,877,124 18,109,104 18,144,714

White Non-Hispanic 55,128,402 55,390,543 55,548,924 59,061,661 55,739,158 53,783,901 55,962,572 54,358,376

Black Non-Hispanic 7,549,743 6,982,863 7,924,869 6,828,919 8,027,714 7,891,359 8,146,415 8,161,179

White Non-Hispanic 60,419,546 61,862,599 60,413,159 65,117,528 60,549,222 61,510,306 60,697,747 60,759,260

Black Non-Hispanic 9,424,932 8,954,997 9,716,188 9,160,114 9,850,048 8,985,764 9,962,689 9,983,535

Page 142: Equity and Efficiency Tradeoffs in the Prevention of Heart

132

Population Strata 2013 2014 2015 2016

Overall 135,400,531 133,675,453 136,109,097 135,162,186 136,927,291 136,219,583 137,498,260 136,386,981

Men 64,424,307 62,846,540 64,798,023 63,610,466 65,218,025 64,221,449 65,506,678 64,310,837

Women 70,976,224 70,828,913 71,311,074 71,551,720 71,709,266 71,998,133 71,991,582 72,076,144

White non-Hispanic 117,048,811 115,054,316 117,383,827 116,186,311 117,878,239 116,908,616 118,265,212 116,926,836

Black non-Hispanic 18,351,720 18,621,137 18,725,270 18,975,874 19,049,052 19,310,966 19,233,048 19,460,146

White Non-Hispanic 56,191,739 54,439,114 56,384,435 54,945,386 56,652,651 55,312,607 56,861,441 55,533,255

Black Non-Hispanic 8,232,568 8,407,426 8,413,588 8,665,079 8,565,374 8,908,842 8,645,237 8,777,583

White Non-Hispanic 60,857,072 60,615,202 60,999,392 61,240,925 61,225,588 61,596,009 61,403,771 61,393,581

Black Non-Hispanic 10,119,152 10,213,711 10,311,682 10,310,795 10,483,678 10,402,124 10,587,811 10,682,563

Page 143: Equity and Efficiency Tradeoffs in the Prevention of Heart

133

Appendix Table 3.2 – Effect per $1 of total tobacco tax, lagged by 1 year, on smoking prevalence among Americans ages 35 and older in generalized linear models with a logit link

Number of State-Years Contributed

Marginal Estimates§† Model Fit Statistics

Homogeneity Test

Point Estimate

(Percentage-point

change)

95% Confidence

Intervals

X2 p-value Lower Limit

Upper Limit

Overall 1,966 -0.4 -0.6 -0.2

Log Pseudolikelihood= -624.95306 AIC=0.6510204; BIC= -14790.82 - -

Men 976 -0.1 -0.4 0.2 Log Pseudolikelihood= -624.6680841 AIC= 0.6609034; BIC= -14715.55

X2 (1) = 6.83

p= 0.0090 Women 990 -0.6 -0.8 -0.4

White non-Hispanic 1,122 -0.5 -0.8 -0.3 Log Pseudolikelihood= -624.185312 AIC=0.6604123; BIC=-14716.52

X2 (1) = 0.96

p= 0.3262 Black non-Hispanic 844 -0.2 -0.9 0.4

White non-Hispanic men 561 -0.4 -0.8 -0.1

Log Pseudolikelihood= -623.800352 AIC=0.6813839; BIC= -14558.03

X2(3) = 25.15

p= 0.0000

Black non-Hispanic men 415 1.2 -0.3 2.5 White non-Hispanic women 561 -0.7 -0.9 -0.4 Black non-Hispanic women 429 -1.2 -1.6 -0.8

§ - multiplied by 100 for interpretation †- weighted by state-year with sum of BRFSS weights for each state-year by strata of race/ethnicity by gender

Page 144: Equity and Efficiency Tradeoffs in the Prevention of Heart

134

Appendix Table 3.3: Effect per $1 of total tobacco tax, lagged by 2 years, on number of Coronary Heart Disease Deaths among Americans ages 35 and older, estimated in generalized linear models with a Poisson link

Number of State-Years Contributed

Marginal Estimates*‡ Model Fit Statistics Homogeneity Test

Change in number

of CHD Deaths

per 100,000

95% Confidence Intervals

f-statistic p-value

Lower Limit

Upper Limit

Overall 1,730 -5 -9 -2

Log Pseudolikelihood= -7090.53155 AIC= 8.213331; BIC= -11043.36 - -

Men 861 -6 -10 -3 Log Pseudolikelihood=-6802.28711 AIC=7.890505; BIC= -11552.75

X2 (1) =0.18

p= 0.6724 Women 869 -4 -6 -1

White non-Hispanic 1020 -5 -8 -1 Log Pseudolikelihood=-6788.62884 AIC=7.874715; BIC=-11580.06

X2 (1) =1.71

p= 0.1912 Black non-Hispanic 710 -8 -11 -6

White non-Hispanic men 510 -6 -10 -2

Log Pseudolikelihood= -6465.10761 AIC=7.522668; BIC=-12085.44

X2(1)= 5.67

p= 0.1287

Black non-Hispanic men 351 -9 -13 -5 White non-Hispanic women 510 -3 -6 0 Black non-Hispanic women 359 -7 -9 -5

*counts rounded to whole numbers ‡- weighted by each state-year by strata of race/ethnicity by gender with denominators from the American Community Survey

Page 145: Equity and Efficiency Tradeoffs in the Prevention of Heart

135

Appendix Table 3.4 – Effect per $1 of total tobacco tax, lagged by 1 year, on smoking prevalence among Americans ages 35 and older, estimated with linear regressions, adjusting for autonomy index*

Number of State-Years Contributed

Marginal Estimates§† Model Fit Statistics Homogeneity Test

Point Estimate

(Percentage-point

change)

95% Confidence Intervals

f-statistic p-value

Lower Limit

Upper Limit

Overall 1922 -0.4 -0.6 -0.2 R2= 0.7396, Root MSE= .02023 - - Men 909 -0.1 -0.5 0.3

R2= 0.7688, Root MSE=.01938 f(1,50 )= 4.20

p= 0.0459 Women 1013 -0.6 -0.8 -0.3

White non-Hispanic 1100 -0.5 -0.8 -0.2 R2= 0.8180, Root MSE=.01714

f(1,50 )= 0.19

p= 0.6689 Black non-Hispanic 822 -0.3 -1.1 0.4

White non-Hispanic men 550 -0.4 -0.8 0.0

R2=0.8569, Root MSE=.01567 f(3,50 )= 8.94

p= 0.0001

Black non-Hispanic men 404 1.1 -0.5 2.6 White non-Hispanic women 550 -0.6 -0.9 -0.4 Black non-Hispanic women 418 -1.2 -1.7 -0.8

*Wisconsin and Wyoming excluded due to collinearity § - multiplied by 100 for interpretation †- weighted by state-year with sum of BRFSS weights for each state-year by strata of race/ethnicity by gender

Page 146: Equity and Efficiency Tradeoffs in the Prevention of Heart

136

Appendix Table 3.5 – Effect per $1 of total tobacco tax, lagged by 2 years, on percent change in CHD deaths among Americans ages 35 and older, adjusting for autonomy index*

Number of State-Years Contributed

Marginal Estimates§‡ Model Fit Statistics Homogeneity Test

Point Estimate (Percent change)

95% Confidence Intervals

f-statistic p-value Lower Limit

Upper Limit

Overall 1690 -2.0 -3.6 -0.3 R2= 0.9689, Root MSE=0.06776 - - Men 841 -2.0 -3.5 -0.6

R2= 0.9810, Root MSE=0.05394 f(1,50 )= 0.14

p= 0.7059 Women 849 -1.9 -3.7 -0.1

White non-Hispanic 1000 -1.8 -3.7 0.1 R2= 0.9774, Root MSE=0.05861

f(1,50 )= 2.17

p= 0.1471 Black non-Hispanic 690 -3.4 -4.6 -2.2

White non-Hispanic men 500 -1.8 -3.3 -0.2

R2= 0.9904, Root MSE= 0.03947 f(3,50 )= 1.36

p= 0.2664

Black non-Hispanic men 341 -3.0 -4.7 -1.3 White non-Hispanic women 500 -1.5 -3.5 0.6 Black non-Hispanic women 349 -3.5 -4.9 -2.1

*Wisconsin and Wyoming excluded due to collinearity § - multiplied by 100 for interpretation ‡- weighted by each state-year by strata of race/ethnicity by gender with denominators from the American Community Survey

Page 147: Equity and Efficiency Tradeoffs in the Prevention of Heart

137

Appendix Table 3.6 – Falsification test with accidental injury mortality rates among Americans ages 35 and older, using linear regression models

Number of State-Years Contributed

Marginal Estimates§‡ Model Fit Statistics Homogeneity Test

Point Estimate (Percent change)

95% Confidence Intervals

f-statistic p-valueLower Limit

Upper Limit

Overall 1,646 1.9 -1.1 4.8 R2= 0.9284, Root MSE=0.10958 - - Men 843 1.5 -2.0 4.9

R2= 0.9448, Root MSE= 0.09808 f(1,50 )= 2.17

p= 0.1470 Women 803 2.7 -0.2 5.6

White non-Hispanic 1008 1.8 -1.4 5.0 R2=0.9482, Root MSE= 0.09451

f(1,50 )= 0.14

p= 0.7082 Black non-Hispanic 668 0.9 -3.1 5.0

White non-Hispanic men 505 1.0 -2.5 4.6

R2= 0.9668, Root MSE= 0.07829 f(3,50 )= 0.77

p= 0.5146

Black non-Hispanic men 338 1.0 -2.6 4.5 White non-Hispanic women 503 2.2 -0.9 5.4 Black non-Hispanic women 300 1.3 -3.2 5.8

§ - multiplied by 100 for interpretation‡- weighted by each state-year by strata of race/ethnicity by gender with denominators from the American Community Survey

Page 148: Equity and Efficiency Tradeoffs in the Prevention of Heart

Appendix 4The “Equity-Efficiency Tradeoffs (EET)” ABM is described in detail in accordance to ODD (Overview, Design concept and Details) protocol [1] as below:

1 Purpose

The purpose of this ABM is to simulate and compare the effects of statins, tobacco tax and

early education interventions on CHD related mortality among white and black non-hispanic

population in United States.

2 Entities, state variables and scales

The main entities of the model are agents with distinct sets of socio-demographic attributes

(age, gender, race/ethnicity, income and educational attainment) and CHD related risk factors -

cholesterol level (HDL, LDL and total cholesterol), systolic blood pressure and smoking status.

3 Process overview and scheduling

The sub-models of this simulation for a given intervention are processed in following order:

(a) Compute 10-year risk of Fatal Coronary Heart Disease (CHD) before the intervention

(b) Execute intervention (Tobacco Tax or Statins or Early Education)

(c) Compute 10-year risk of Fatal Coronary Heart Disease (CHD) after the intervention

(d) Process Coronary Heart Disease (CHD) related deaths

4 Design concepts

This model includes several design concepts of agent-based models such as adaptive behavior,

observation and stochasticity. The design concepts included in the model are described in detail

below:

138

Page 149: Equity and Efficiency Tradeoffs in the Prevention of Heart

4.1 Adaptive behavior

Adaptive behavior can be defined as decisions that agents make to change their state, to pursue

some objectives, in response to current state of themselves and their environment [1].

In this model, agents have an ability to decide whether they want to -

(a) quit smoking after an increase in tobacco taxes.

(b) take statins to reduce cholesterol levels.

(c) attend college.

4.2 Stochasticity

Stochasticity presents randomness in our model which is used to execute agent behaviors such

as statins intake. For example, a random real number drawn between 0 and 1 is compared

against probability of statins intake to determine whether an agent uses statins to reduce his or

her cholesterol level.

4.3 Observation

Themain purpose of this design concept is to understand model behavior through numerical and

graphical displays. This ensures that agents are executing their behavioral rules as intended. In

this model, average of risk factors and 10-year risk of CHD (Coronary Heart Disease) mortality,

before and after the interventions, are evaluated.

5 Initialization

The initialization steps are described in detail below:

5.1 Create synthetic population

This section provides an overview of process involved in building a synthetic population of 50

US States and the District of Columbia. Our population model consists of lists of households

139

Page 150: Equity and Efficiency Tradeoffs in the Prevention of Heart

characterized by household type, size and income where each household has at least one person

(or agent) with distinct socio-demographic attributes such as age, gender, race and education.

The classification of socio-demographic and household attributes as defined in ACS are de-

scribed below:

5.1.1 Socio-demographic classification

Demographicattribute

Type Data Source

Gender Male, Female 2015 ACS 5-Year SelectedPopulation Tables:1. Sex by Age (Non-Hispanicorigin by Race)2. Sex by Age (Hispanic origin byRace)

Age 0-5, 5-9, 10-14, 15-17, 18-19, 20-24, 25-29, 30-34, 35-44, 45-54, 55-64, 65-74, 75-84, 85+

Ethnicity Not Hispanic or Latino, Hispanic orLatino

Race White, Black or African American,American Indian and Alaska Na-tive, Native Hawaiian and Other Pa-cific Islander, Other Race

Educationalattainment

Less than 9th grade, 9th to 12th grade(no diploma), High school gradu-ate, Some college (no degree), As-sociate degree, Bachelor’s degree,Graduate or professional degree.

2015 ACS 5-year estimates:1. Sex by Age by Educational at-tainment for population 18 yearsand over

140

Page 151: Equity and Efficiency Tradeoffs in the Prevention of Heart

5.1.2 Households classification

Demographicattribute

Type Data Source

Householdtype

1. Family Households:a. Married-coupleb. Male householder, no wifec. Female householder, no husbandNon Family Householdsa. Householder living aloneb. Householder not living alone

2015 ACS 5-Year SelectedPopulation Tables:1. Sex by Age (Non-Hispanicorigin by Race)2. Sex by Age (Hispanic origin byRace)

Householdsize

1 person, 2 person, 3 person, 4 per-son, 5 person, 6 person, 7 or moreperson

2015 ACS 5-years estimates:1. Household type by householdsize

Household in-come

1. Less than $10,0002.$10,000 to $14,9993. $15,000 to $24,9994. $25,000 to $34,9995. $35,000 to $49,9996. $50,000 to $74,9997. $75,000 to $99,9998. $100,000 to $149,9999. $150,000 to $199,99910. $200,000 or more

2015 ACS Selected Population Ta-bles1. Household Income in the past 12months (in 2015 inflation-adjusteddollars)

141

Page 152: Equity and Efficiency Tradeoffs in the Prevention of Heart

5.1.3 Household composition

We’ve used an approach called Iterative Proportional Updating (IPU), developed by a group in

Arizona State University [2], which computes selection probabilities different household types

(cross-tabulation of households based on household type, size and income) by iteratively ad-

justing weights until both household-level and person-level estimates match joint distributions

(both household-level and person-level) obtained from IPF (Iterative Proportional Fitting) pro-

cedure. The steps detailing generation of synthetic population of states are described in sections

below:

5.1.4 Steps for synthetic population generation

Step 1: Create US states and import population estimates

States are categorized by a unique geo ID, name and population count. Each State consists of

list counties which are mapped to unique statistical geographical areas called PUMAs (Public

Use Microdata Area). A PUMA county crosswalk is used to establish a mapping between

respective counties and PUMA codes. After mapping states with counties, we import and assign

population (household and person-level) estimates from ACS to states based on its geo ID.

142

Page 153: Equity and Efficiency Tradeoffs in the Prevention of Heart

Step 2: Import PUMS (Public Use Microdata Sample) file

PUMS file consist sample data of population and housing units collected through individual

ACS questionnaires. Each record in a population file represents a single person with distinct

attributes such as age, race, gender, educational attainment and so on. Similarly, each entry in

household-level dataset indicates a single housing unit which consists of at least on person. Each

housing unit is categorized by PUMA code indicating the area it belongs. Both person-level and

household-level PUMS dataset is available for 50 US states including District of Columbia.

Step 3: Estimate joint (person-level and household-leve) distributions using IPF

IPF is an iterative procedure of estimating the cell-values of contingency table until they add

up to selected totals for both row and column marginals. In our model, it has been used to

estimate the joint distributions of person level attributes stratified by sex, age category, race and

education and household-level stratified by household type, size and income.

Step 4: Compute weights for households

In Iterative Proportional Updating (IPU) approach, the weights assigned to each households are

iteratively adjusted until the cumulative sum of each household and person-types matches IPF

generated marginal distributions for households and persons. The process begins by creating a

frequency matrix M (Figure 1) from modified PUMS dataset.

Figure 1: An example of IPU approach [2]

A row in frequency matrix represents one household and the columns within a row are the fre-

143

Page 154: Equity and Efficiency Tradeoffs in the Prevention of Heart

quencies of household-types and person-types extracted from PUMS dataset. Household types

are classified by stratifying household variables such as type (married-couple, single parent

etc.), size and income. Similarly, person-types are obtained by cross-classifying attributes such

as age, race, gender, educational attainment. The weights of all the households are initially set

to one as illustrated in Table 1 above. A row labeled “Weighted sum” is weighted sum of each

column and “Constraints” represents marginal frequencies of each column (household-types

and person-types) that must be matched. The weights of households are adjusted with respect

to each column representing household/person-type and are calculated as:

wi = wi ×ci∑

i dijwi

(1)

The rows labeled “Weighted sum 1” through “Weighted Sum 5” are the weighted sum of five

columns representing household and person types in Table 1. The weighted sum and constraints

for each column are compared against each other to assess goodness-of-fit by calculating:

δi =|∑

i dijwi − cj|cj

(2)

where,

i = row number representing each households (i = 1, 2,…, n)

j = household/person-type of interest (j = 1, 2, …., n)

dij = frequency of jth household/persons-type

wj = weight of ith household

cj = marginal distribution of jth household/person-type

The adjustment of weights through all the columns of frequency matrix marks the completion

of single iteration. The average of δj is calculated across all the columns, prior to and after

adjustment of weights, is denoted by δa and δb respectively. The difference between δa and δb

represents gain in fit (∆) between two consecutive iterations. The weights are adjusted until

144

Page 155: Equity and Efficiency Tradeoffs in the Prevention of Heart

gain in fit (∆) reaches below a cut-off threshold (ε).

Step 5: Draw households

In this step, households are drawn probabilistically based on IPU estimates household weights.

The selection probabilities are calculated for each household type which are compared against

randomly generated number between 0 and 1. The households are added to the synthetic pop-

ulation if the generated random number is less than selection probability.

A Chi-Square test is performed to check the goodness-of-fit against person-level distributions

by calculating:

χ2 =∑j

[(ni − nj)

2

cj

](3)

where,

nj = frequency of jth person-type in synthetic population

cj = IPF estimated constraint for jth person-type

A corresponding p-value is calculated with χ2 value and degree-of-freedom (df) to check the

validity of synthetic population. A synthetic population is repeatedly drawn until a desired

p-value is achieved or maximum number of draws is reached.

145

Page 156: Equity and Efficiency Tradeoffs in the Prevention of Heart

5.2 Assign risk factors

Agents are assigned CHD risk factors - cholesterol (HDL, LDL and total cholesterol), systolic

blood pressure and smoking status using NHANES (National Health and Nutrition Examination

Survey) data. Risk factors are stratified by age category (45 to 64), race/ethnicity (White Non-

Hispanic and Black Non-Hispanic), gender (Male, Female), educational attainment (Less than

high school, Some college or more) and risk factor strata (32 strata) which is defined based

on the combination of 4 risk factors (HDL, total cholesterol, systolic blood pressure, smoking

status) and hypertension treatment.

6 Input data

The model did not require input data beyond what was provided in initialization, since the

environment remained constant throughout the simulation.

7 Sub-models

The sub-models of each intervention scenario are described in detail below:

7.1 Compute 10-year risk of Fatal CHD before the intervention

In this sub-model, we compute agent’s 10-year risk of Fatal CHD (as described in section 8)

before we execute the intervention. The purpose of this step is to create a baseline for 10-year

Fatal CHD risk by race-gender (white non-Hispanic men, white non-Hispanic women, black

non-Hispanic men and black non-Hispanic women).

7.2 Execute intervention

In this step, we execute one (or combinations) of the following interventions:

7.2.1 Tobacco tax intervention

This intervention captures the change in agent’s smoking behavior after an increase in tobacco

taxes. A random number drawn between 0 and 1 is compared with probability of quitting smok-

ing tax intervention. If the random number generated is less than probability of quitting smok-

146

Page 157: Equity and Efficiency Tradeoffs in the Prevention of Heart

ing, agent changes its smoking status from smoker to non-smoker. Risk factors are also re-

estimated after moving agents from high risk strata (strata with smoking as a risk factor) to low

risk strata (strata without smoking as a risk factor).

7.2.2 Statins intervention

This intervention determines whether an agent receives statins treatment to reduce his or her

cholesterol levels. Smokers with high total cholesterol, low HDL and high systolic blood pres-

sure are qualified for statins treatment. However, agents undergo statins treatment only if the

random number generated between 0 and 1 is less than probability of statins intake.

The change in cholesterol and triglycerides levels after statins treatment is calculated as shown

below:

LDL cholesterol:

LDL = LDL− pLDLChange× LDL (4)

HDL cholesterol:

HDL = HDL+ pHDLChange×HDL (5)

Triglycerides:

TG = TG− pTGChange× TG (6)

Total cholesterol:

TChols = LDL+HDL+ 0.2× TG (7)

147

Page 158: Equity and Efficiency Tradeoffs in the Prevention of Heart

where,

LDL = LDL cholesterol

HDL = HDL cholesterol

TG = Triglycerides

Tchols = Total cholesterol

pLDLChange = percentage of LDL change after statins treatment

pHDLChange = percentage of HDL change after statins treatment

pTGChange = percentage of triglycerides change after statins treatment

7.2.3 Early education intervention

This intervention changes an agent’s education status. This behavior is exhibited by Black

Non-Hispanic agents in response to Improved Early Education (IEE) intervention. IEE works

on an assumption - it reduces education gap betweenWhite and Black Non-Hispanic agents and

increases the likelihood of Black Non-Hispanic agents to attend college if they are provided IEE

during their childhood.

This behavior is predicted based on the probability of attending college. If a random number

generated between 0 and 1 is less than probability of attending college, agents are assigned

education level of ”Some college or more”. The probability of attending college is calculated

by:

pCollege = (%WhiteNH(HE)−%BlackNH(HE))/%BlackNH(LE) (8)

148

Page 159: Equity and Efficiency Tradeoffs in the Prevention of Heart

where,

White NH = White Non-Hispanic

Black NH = Black Non-Hispanic

HE = Some college or more

LE = Less than High School

7.3 Compute 10-year risk of CHD after the intervention

In this sub-model, we compute agent’s 10-year risk of CHD (as described in section 8) after

we execute the intervention. The purpose of this step is to analyze the effect of intervention on

10-year CHD risk among white-male, white-female, black-male and black-female.

7.4 Process CHD related deaths

In this step, we predict the number of CHD related deaths over the period of 10 years based on

SCORE equation as described in section 8.2. As CHD deaths can occur anytime between year 1

and year 10, it is randomly distributed by generating a random number between 1 and 10 (both

inclusive). The purpose of this sub-model is to account for Year of Life Lost (YLL) as result of

premature death due to CHD.

8 10-year risk of CHD (Coronary Heart Disease)

8.1 FHS (Framingham Heart Study) Hard CHD ATP-III Risk Equation

Framingham Heart Study has developed a mathematical function to predict the risk of CHD

(Coronary Heart Disease) events. It is a gender-specific multivariable equation consisting of

weighted CHD risk factors - age, total, LDL, HDL cholesterol, blood pressure, smoking and

diabetes status. Individual and mean of risk factors are plugged in the equation to calculate the

probability of developing CHD within a certain time period (eg. 10 years).

149

Page 160: Equity and Efficiency Tradeoffs in the Prevention of Heart

The calculation of 10-year risk of Hard CHD using Framingham Risk Equation is shown below:

For male:

∑βX = 52.009610× ln (Age) + 20.014077× ln (Tchols)− 0.905964× ln (HDL)

+ 1.305784× ln (SBP ) + 0.241549×Htn+ 12.096316× Smoker

− 4.605038× ln (Age)× ln (TChols)− 2.843670× ln (Age)× Smoker

− 2.933230× ln (Age)× ln (Age)

(9)

For female:

∑βX = 31.764001× ln (Age) + 22.465206× ln (Tchols)− 1.187731× ln (HDL)

+ 2.552905× ln (SBP ) + 0.420251×Htn+ 13.075430× Smoker

− 5.060998× ln (Age)× ln (TChols)− 2.996945× ln (Age)× Smoker

(10)

Probability = 1− Sexp (

∑βXindv−

∑βXmean)

t (11)

150

Page 161: Equity and Efficiency Tradeoffs in the Prevention of Heart

where,

Tchols = Total Cholesterol

HDL = HDL Cholesterol

SBP = Systolic Blood Pressure

Htn = 1 if an agent is under hypertension medication

= 0 otherwise

Smoker = 1 if an agent is a smoker

= 0 otherwise

X_indv = Individual risk factors

X_mean = Mean of risk factors

S_t = Average survival at t years

Equation 6 and 7 calculated the weighted sum of risk factors (both individual and mean of risk

factors). Equation 8 calculated probability of occurrence of CHD event in t years.

8.2 SCORE (Systematic Coronary Risk Evaluation) Risk Equation

The SCORE project developed risk charts to estimate ten-year risk of fatal CHD for high-risk

and low-risk European countries [3]. These risk charts were modeled as a function of age,

race-gender, cholesterol levels (Total or Total/HDL ratio), systolic blood pressure and smoking

status.

SCORE risk charts in equation form to predict fatal CHD are stratified by age, and race-gender

and can be represented as:

w = 0.24× (Tcholsindv − Tcholsmean) + 0.018× (SBPindv − SBPmean)

+ 0.71× Smoker(12)

151

Page 162: Equity and Efficiency Tradeoffs in the Prevention of Heart

Probability = 1− Sexp (w)t (13)

where,

Tchols_indv = Agent’s total cholesterol level

Tchols_mean = Average total cholesterol in population

SBP_indv = Agent’s systolic blood pressure

SBP_mean = Average systolic blood pressure in population

Smoker = 1 if an agent is a smoker

= 0 otherwise

S_t = Average survival at t years

Equation 9 calculated the weighted sum of risk factors (total cholesterol, systolic blood pressure

and smoking status) and equation 10 estimated the probability of occurrence of fatal CHD in t

years.

152

Page 163: Equity and Efficiency Tradeoffs in the Prevention of Heart

9 Years of Life Lost (YLLs)

YLLs refers to the number of additional years an individual would have lived without the dis-

ease.

This model uses SCORE’s predicted probabilities (Equation 10) from SCORE to predict the

death of an agent for computing Years of Life Lost (YLL). YLL, for each agent, can be calcu-

lated as:

Y LL = LE − AgeAtDeath

where,

YLL = Years of Life Lost

LE = Life Expectancy

AgeAtDeath = Age of an agent at death

153

Page 164: Equity and Efficiency Tradeoffs in the Prevention of Heart

10 Summary of agent characteristics and initialization parameters

1. Agent characteristics and values

Agent characteristics Values

Age 45-64

GenderMale

Female

Race/EthnicityWhite non-Hispanic

Black non-Hispanic

Educational

attainment

Less than high school

Some college or more

Risk factors

Total cholesterol

LDL cholesterol

HDL cholesterol

Triglycerides

Systolic blood pressure

Smoking status

TreatmentHypertension medica-

tion

Statins medication

154

Page 165: Equity and Efficiency Tradeoffs in the Prevention of Heart

2. Simulation parameters

Life expectancy (High School or

less, Some college or more)

Value

White Male 72.0, 78.2

White Female 79.3, 82.8

Black Male 65.2, 72.3

Black Female 74.4, 77.9

10-year survival rate (Total CHD,

Fatal CHD)

Value

White Male 0.925, 0.990

White Female 0.971, 0.9968

Black Male 0.921, 0.9884

Black Female 0.954, 0.9941

Statins Intervention

Percentage Point of statins intake Value

White Male 0.16994

White Female 0.16094

Black Male 0.13796

Black Female 0.17143

% change in cholesterol level Value

LDL 28.198 ↓

HDL 2.929 ↑

Triglycerides 12.154 ↓

Statins cost per year Value

Base case $ 76.14

Tobacco Tax Intervention

% change in smoking prevalence Value

White Male 0.4 ↓

White Female 0.6 ↓

Black Male 1.1 ↑

Black Female 1.2 ↓

155

Page 166: Equity and Efficiency Tradeoffs in the Prevention of Heart

11 Model flow charts

1. Flow chart indicating steps in model initialization

Create synthetic population

using IPU method and

assign baseline attributes

(age, race, gender and

education) to agents

Assign CHD risk factors

(cholesterol levels, systolic

blood pressure, smoking

status, and hypertension

medication) to agents

using NHANES data

156

Page 167: Equity and Efficiency Tradeoffs in the Prevention of Heart

2. Flow chart of the processes

Compute

10-year risk of

CHD (Fatal)

Execute

intervention

Update 10-

year risk of

CHD (Fatal)

Process fatal

CHD event

Is rand(0, 1) <

P(Fatal CHD)?

Agent dies

Increase

agent’s age

Y

N

157

Page 168: Equity and Efficiency Tradeoffs in the Prevention of Heart

3. Intervention steps

Tobacco tax

intervention

Is agent a

smoker?

Is P(Quit

Smoke)

>rand(0,1)?

Agent quits

smoking

Update CHD

risk factorsY Y

Statins

intervention

Is age > 40

& age < 75?

Is qualified

for statins

treatment?

Is P(Statin

Intake)

>rand(0,1)?

Compute new

cholesterol

levels

Y Y Y

Early

education

intervention

Is agent

black non-

hispanic with

high school

or less ?

Is P(Higher

Education)

>rand(0,1)?

Agent attends

college

Update CHD

risk factorsY Y

158

Page 169: Equity and Efficiency Tradeoffs in the Prevention of Heart

12 Pseudo-code

1. Creating synthetic population

Algorithm 1 Synthetic population1: procedure createPopulation()2: compute selection probabilities for households (by type, size and income) using IPU3: Import household-level PUMS dataset4: for household type in PUMS households list do5: num_household = household count by household type6: while (num_household >0) do7: random = rand(0, 1)8: for id, probability in household type do9: if (random <probability) then10: household = households[id]11: for person in household do12: if (age >= 45 and age <65) then13: if (race/ethnicity is White NH or Black NH) then14: agent_type = agent type by age, race, gender and education15: agentList[agent_type] = add agent to agents list16: end if17: end if18: end for19: break20: end if21: end for22: end while23: end for

159

Page 170: Equity and Efficiency Tradeoffs in the Prevention of Heart

2. Assign CHD risk factors

Algorithm 2 CHD risk factors1: procedure setRiskFactors()2: agent_types = agent type by age, race, gender and education3: nhanes_list_by_agent_type = (agent_type, (agents_per_strata, risk_strata, risk_factor))4: for type in agent_types do5: agents_by_type = agentList[type]6: nhanes_list = nhanes_list_by_agent_type[type]7: risk_strata = nhanes_list[0]->risk_strata8: risk_factor = nhanes_list[0]->risk_factor9: for agent in agents_by_type do10: while (true) do11: agents_per_strata = nhanes_list[0]->agents_per_strata12: if (agents_per_strata >0) then13: break14: else15: remove nhanes_list[0]16: risk_strata = nhanes_list[0]->risk_strata17: risk_factor = nhanes_list[0]->risk_factor18: continue19: end if20: end while21: assign risk_strata and risk_factor to agent22: agent_per_strata - -23: end for24: end for

160

Page 171: Equity and Efficiency Tradeoffs in the Prevention of Heart

MODEL STEPS

1. Compute 10-year risk of CHD

Algorithm 3 10-year risk of CHD1: procedure computeTenYearCHDRisk()2: for agent in agent list do3: pCHD_Framingham = compute using eq. 6, 7, 84: pCHD_Score = compute using eq. 9 and 105: end for

2. Statins intervention

Algorithm 4 Statins intervention1: procedure statinIntake()2: for agent in agent list do3: if (age >40 and age <75) then4: if (!statin and (LDL >130 or HDL <40 or high SBP or Smoker ) then5: pStatinIntake = probability of statin intake6: if (rand(0, 1) <pStatinIntake) then7: LDL = LDL - LDL * (percentLDLchange/100)8: HDL = HDL + HDL * (percentHDLchange/100)9: TG = TG - TG * (percentTGchange/100)10: TC = LDL + HDL + 0.2*TG11: end if12: end if13: end if14: end for

161

Page 172: Equity and Efficiency Tradeoffs in the Prevention of Heart

3. Tobacco tax intervention

Algorithm 5 Tobacco tax intervention1: procedure quitSmoking()2: for agent in agent list do3: if (agent is a smoker) then4: pQuitSmoke = probability of quitting smoking5: count = 06: if (rand(0, 1) <pQuitSmoke) then7: old_risk_factor = risk_factor8: smoking_status = false9: update risk_strata10: new_risk_factors_list = risk_factors[agent_type][risk_strata]11: while (true) do12: idx = rand(0, size of new_ risk_factors_list - 1)13: new_risk_factor = new_risk_factors_list[idx]14: if (new_risk_factor > old_risk_factor) then15: if (count > 50) then16: risk_factor = new_risk_factor17: break18: end if19: count + +20: continue21: else22: risk_factor = new_risk_factor23: break24: end if25: end while26: end if27: end if28: end for

162

Page 173: Equity and Efficiency Tradeoffs in the Prevention of Heart

4. Early education intervention

Algorithm 6 Early education intervention1: procedure attendCollege()2: for agent in agent list do3: if (Black NH and HS or less) then4: pEducation = probability of attending college5: if (rand(0, 1) <pEducation) then6: education = some college or more7: new_risk_factor_list = (pRisk, new_risk_factor)8: for risk in new_risk_factor_list do9: pRisk = risk->pRisk10: if (rand(0, 1) <pRisk) then11: risk_factor = risk->new_risk_factor12: break13: end if14: end for15: end if16: end if17: end for

163

Page 174: Equity and Efficiency Tradeoffs in the Prevention of Heart

References

[1] S. F. Railsback and V. Grimm, Agent-Based and Individual-Based Modeling: A Practical

Introduction, vol. 6. Princeton University Press, 2011.

[2] X. Ye, K. C. Konduri, R. M. Pendyala, B. Sana, and P. Waddell, “Methodology to Match

Distributions of Both Household and Person Attributes in Generation of Synthetic Popula-

tions,” 2009.

[3] R. Conroy, K. Pyörälä, A. Fitzgerald, S. Sans, A. Menotti, G. De Backer, D. De Bacquer,

P. Ducimetière, P. Jousilahti, U. Keil, I. Njølstad, R. Oganov, T. Thomsen, H. Tunstall-

Pedoe, A. Tverdal, H. Wedel, P. Whincup, L. Wilhelmsen, and I. Graham, “Estimation

of ten-year risk of fatal cardiovascular disease in Europe: the SCORE project,” European

Heart Journal, vol. 24, pp. 987–1003, jun 2003.

164