erasmus summer program 2010 august 16-20 2010 history of...

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ERASMUS, A. Morabia, 06/07/10 (2 pages) Erasmus Summer Program 2010 August 16-20 2010 "History of epidemiologic ideas” Prof Alfredo Morabia, MD, PhD, Center for the Biology of Natural Systems Queens College – CUNY, 163-03 Horace Harding Expressway Flushing NY 11365, USA TEL (direct): 718-670-4226, FAX: 718-670-4165, Skype: alfredo_cbns, www.epidemiology.ch , EMAIL: [email protected] Course description This is a methodology course, which focuses on the historical evolution of methods (e.g., study designs) and concepts (e.g., confounding, bias, interaction and causal inference) that constitute today’s epidemiology. For each topic, we review and discuss the historical contexts and some landmark studies that led to specific innovations in terms of performance of group comparisons, population thinking and framing of hypotheses. Some of the discussions are supported by exercises. We finally discuss the historical conditions for the emergence of epidemiology as a scientific discipline, the phases it went through and its potential, future developments (25 hours). Course Format The course meets every day from 1:00-6 :00pm. Lectures - Lectures will be given by A. Morabia. Exercises can be done in class during the last hours and are about articles that it is recommended the student reads before coming to class, in the order indicated in the timetable below. Textbook and Articles: Textbook Morabia A (2004) History of epidemiological methods and concepts. Basel: Birkhauser Articles 1. Copeland KT, Checkoway H, McMichael AJ, Holbrook RH (1977) Bias due to misclassification in the estimation of relative risk. Am J Epidemiol 105: 488-495 2. Cornfield J (1951) A method of estimating comparative rates from clinical data; applications to cancer of the lung, breast, and cervix. J Natl Cancer Inst 11: 1269-1275 3. Hammond EC, Selikoff IJ, Seidman H (1979) Asbestos exposure, cigarette smoking and death rates. Ann N Y Acad Sci 330: 473-490 4. Hill AB (1965) Environment and disease: association or causation? Proc Royal Soc Med 58: 295-300 5. Mantel N, Haenszel W (1959) Statistical aspects of the analysis of data from retrospective studies of disease. J Natl Cancer Inst 22: 719-748

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Page 1: Erasmus Summer Program 2010 August 16-20 2010 History of ...weber.hs.tmu.ac.jp/cat/kaken20_22/Dr_Morabia.pdf · Erasmus Summer Program 2010 August 16-20 2010 "History of epidemiologic

ERASMUS, A. Morabia, 06/07/10 (2 pages)

Erasmus Summer Program 2010 August 16-20 2010 "History of epidemiologic ideas” Prof Alfredo Morabia, MD, PhD, Center for the Biology of Natural Systems Queens College – CUNY, 163-03 Horace Harding Expressway Flushing NY 11365, USA TEL (direct): 718-670-4226, FAX: 718-670-4165, Skype: alfredo_cbns, www.epidemiology.ch, EMAIL: [email protected] Course description This is a methodology course, which focuses on the historical evolution of methods (e.g., study designs) and concepts (e.g., confounding, bias, interaction and causal inference) that constitute today’s epidemiology. For each topic, we review and discuss the historical contexts and some landmark studies that led to specific innovations in terms of performance of group comparisons, population thinking and framing of hypotheses. Some of the discussions are supported by exercises. We finally discuss the historical conditions for the emergence of epidemiology as a scientific discipline, the phases it went through and its potential, future developments (25 hours). Course Format The course meets every day from 1:00-6 :00pm. Lectures - Lectures will be given by A. Morabia. Exercises can be done in class during the last hours and are about articles that it is recommended the student reads before coming to class, in the order indicated in the timetable below. Textbook and Articles: Textbook Morabia A (2004) History of epidemiological methods and concepts. Basel: Birkhauser Articles

1. Copeland KT, Checkoway H, McMichael AJ, Holbrook RH (1977) Bias due to misclassification in the estimation of relative risk. Am J Epidemiol 105: 488-495

2. Cornfield J (1951) A method of estimating comparative rates from clinical data; applications to cancer of the lung, breast, and cervix. J Natl Cancer Inst 11: 1269-1275

3. Hammond EC, Selikoff IJ, Seidman H (1979) Asbestos exposure, cigarette smoking and death rates. Ann N Y Acad Sci 330: 473-490

4. Hill AB (1965) Environment and disease: association or causation? Proc Royal Soc Med 58: 295-300

5. Mantel N, Haenszel W (1959) Statistical aspects of the analysis of data from retrospective studies of disease. J Natl Cancer Inst 22: 719-748

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ERASMUS, A. Morabia, 06/07/10 (2 pages)

2 Detailed Syllabus: "History of epidemiologic ideas" Time Monday Tuesday Wednesday Thursday Friday Preformal Early Classic Modern Overview 1:15-2:00 1.What is this thing

called epidemiology(1)

4.Early PT 7.Classic Group Comparisons(1)

10.Modern PT 13.Causal Inference

2:15-3:00 1.What is this thing called epidemiology(2)

5.Early GC (1)

8.Classic Group Comparison (2)

11.Modern GC 14. Genetic epistemology (in class exercise)

3:15-4:00 2.Preformal Group Comparisons

5.Early GC (2)

9.Classic Concepts (1) 12.Modern Concepts (1)

14. Genetic epistemology (Lecture)

4:15-5:00 3.Preformal Concepts

6.Early Concepts 9.Classic Concepts (2)

12. Modern Concepts (2)

5:15-6:00 In-Class exercises

1.Cornfield 2.Mantel&Haenszel 3.Hammond

4.Risk&Rates 5.Miettinen 6.Misclassification

Historical Papers

1.Cornfield 2.Mantel&Haenszel 3.Hammond

4. Copeland 5.Hill

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Title History of epidemiologic ideas

2

Lecture 1:

What is this thing called

epidemiology?

Roles of Epidemiology

A. Taming epidemicsB. Distinguishing

health knowledge from health beliefs

3 4

A. Epidemiology - Definition•Epidemiology: Epi [upon] –demos [population]- logos [science]

•Science of what falls upon populations.

•Originally : study of epidemics of infectious diseases

Epidemic• Rapid change in the frequency of a

health event over time in the same population

• Health event can be:– an infectious disease (e.g., cholera, HIV)– a non communicable disease (e.g., lung

cancer, scurvy)– a health related behavior (e.g., cigarette

smoking)

5

Epidemic of HIV in the US

6

Page 4: Erasmus Summer Program 2010 August 16-20 2010 History of ...weber.hs.tmu.ac.jp/cat/kaken20_22/Dr_Morabia.pdf · Erasmus Summer Program 2010 August 16-20 2010 "History of epidemiologic

Adult Per Capita Cigarette Consumption and Major Smoking and Health Events – United States, 1900-2005

0

1000

2000

3000

4000

5000

1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000YEAR

Num

ber

of C

igar

ette

s

Source: United States Department of Agriculture; Centers for Disease Control and Prevention

End of WW II

US & UK Case control Studies

Fairness Doctrine Messages on TV

and Radio

Non-Smokers Rights Movement

Begins

Federal Cigarette Tax Doubles

Surgeon General’s Report on ETS

1st Surgeon General’s Report

Broadcast Ad Ban

1st Great American Smoke-out

OTC Nicotine Medications

Master Settlement Agreement

Great Depression

No Need for Epidemiology if no Epidemics

• When did epidemics start?• How did they impact human health

before epidemiology (i.e., before circa1850)?

• How did medicine and public health respond to epidemics?

8

Evolution of Human Societies1) Foraging: subsists from gathering,

hunting and fishing. No food production. Small bands/clans of about 20-100. Up to 10,000BCE.

2) Agrarian: subsists mainly from agriculture and/or animal husbandry. Most people live in the countryside. 10,000 BCE to 1800

9

3) Industrial: mechanized food production. Most people live in cities. Since 1800.

No epidemics among foragers• Nomads• Small clans (20 – 100 people)• No trade• No domesticated animals (except

the dog in the latest period)• Cannot sustain rapid transmission

of pathogens to susceptible hosts

10

Health of foraging populations

11 12

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Epidemic in Agrarian Societies

• Two conditions for epidemics to occur:

1) Population density: > 0.5 million2) Animal domestication• Conditions first met in Sumer

(Mesopotamia, Southern Iraq), 2000 BCE

• Also, Book of Exodus (1000-500 BCE)

13

Historical Region of Sumer

14

Epidemics and Daily Life

• How frequent were epidemics in agrarian societies ?

• Continuous monitoring of epidemic outbreak usually not available

• Exception: Chinese Empire (243 BCE to 1911): gazetteers, dynastic histories, Great Encyclopedia of the Qing

15

North and South

16

Evolution of Epidemics during the Chinese Empire

Morabia, Epid Inf, 2009

Centuries

Num

ber o

f Out

bre

aks

0

10

20

30

40

50

60

70

80

-3 -2 -1 0 1 2 3 4 5 6 7 8 91

01

11

21

31

41

51

61

71

81

9

50

100

150

200

250

300

350

Population

Outbreaks

17Morabia, Epid Inf, 2009 18

04

8

First Century

Calendar Year

N

(-5,-4] (3,4] (11,12] (20,21] (29,30] (38,39] (47,48] (56,57] (65,66] (74,75] (83,84] (92,93] (103,104]

04

8

Sixth Century

Calendar Year

N

(495,496] (507,508] (519,520] (531,532] (543,544] (555,556] (567,568] (579,580] (591,592] (603,604]

04

8

Sixteenth Century

Calendar Year

N

(1495,1496] (1510,1511] (1525,1526] (1540,1541] (1555,1556] (1570,1571] (1585,1586] (1600,1601]

04

8

Nineteenth Century

Calendar Year

N

(1795,1796] (1810,1811] (1825,1826] (1840,1841] (1855,1856] (1870,1871] (1885,1886]

Epidemic Density during the Chinese Empire

Why were agrarian societies

powerless against e

pidemics?

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Epidemics Before Epidemiology• If Chinese case can be extrapolated

to other regions of the world:• Began about 2000 BCE• Grew slowly in intensity until about

1200 CE• Exponential increase after 1200 CE

because of population growth and adaptation to many pathogens (measles, smallpox, pertussis, mumps)

19

Individual Thinking• Clinical thinking focusing on a single

patient• Doctors learn by trial and error, one

patient at a time• Not two cases of disease are

considered alike• Never look at aggregates of patients• No quantification, no population

studies

20

21

Medical systems in agrarian societies aimed to explain each individual case separately

Holism leads to Individual Thinking

100

25 75

6 18

2 4

1 1

Spring

Moon Quarter

Choleric

Southern Wind

All

23

Traditional Holistic Medicine

• Everything is connected, body and universe

• True for Egyptian, Greco-Roman, Indian, Chinese, and Meso-American medicines

• Incompatible with epidemiology because every health event is explained by a different set of causes

Population Thinking (1)• Approach to knowledge focusing on

populations or groups of people• Knowledge is acquired by group

comparisons• Cases of diseases are categorized

and grouped• Study of aggregates of patients• Quantification and population studies

24

Page 7: Erasmus Summer Program 2010 August 16-20 2010 History of ...weber.hs.tmu.ac.jp/cat/kaken20_22/Dr_Morabia.pdf · Erasmus Summer Program 2010 August 16-20 2010 "History of epidemiologic

Population Thinking (2)

• Monitor evolution of health events in populations: surveillance

• Simplify hypothesis: look at one cause at a time

• Starts with monitoring of causes of deaths in England in 1603: Bills of mortality

• Main scourge: Plague

25 26

Context of First Population Thinking Ever: Epidemics of Plague

• The plague had recurred in Europe since about 1350 (The Black Death)

• Transmitted to humans by fleas or by direct exposure to infected tissues or respiratory droplets.

• Fever, chills, headache, malaise, prostration.

• Regional lymphadenitis (bubonic plague)

27

The plague – Black Death

28

Bubonic plague

Avoid Bubonic Plague: Kill rats and mice; Get rid of fleas

William Petty (1623-1687)

30

John Graunt (1620-1694).

• “National and Political Observations... upon the Bills of Mortality”

• Determine, “in general terms, the uniformity and predictability of many important phenomena taken in the mass”

• First example of population thinking applied to human health

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POPULATION TH

INKING

Graunt's Tables of Burrials and Christnings in London

YEARS

N

1610 1620 1630 1640 1650 1660

0

5000

10000

15000

20000

25000

30000

35000

---- Deaths, not plague---- Plague deathsººº Births

Environmental origin of the plague (J. Graunt)• Is plague due to “change of the Air”

(environment) or “the constitution of men’s bodies”?

• Plague makes “sudden jumps” from 118/week to 927/week, and back again from 993/week to 258/week

• Graunt attributes plague to “change of the air”

• Plague outbreaks end around 1700

32

Roles of Epidemiology

A. Taming epidemicsB. Distinguishing

health knowledge from health beliefs

33 34

Cholera, 19th Century Pandemic

How to avoid Cholera: Get a vaccine; don't drink non-boiled water; food has to be clean

35

Cholera (“Blue Death”), before 1880

• Clinical presentation: Massive watery diarrhea and vomiting. Death within hours by severe dehydration, capillary hemorrhage, renal failure and shock.

• Treatment: “calomel” (toxic doses of mercury), bleeding and laudanum (opium).

• Incubation period: 0-5 days. • Prognosis: 50% of sick die, but most

people infected with V. cholera do not become ill, however, the bacterium is present in the feces for 7-14 days following infection.

36

Miasma (or Pollution) Belief

Decomposing organic matter

Inhaled in the lungs

(Adapted from Vinten-Johansen, 2003, p. 175)

Miasma

Disease

Humoral/constitutional predisposition/Unique

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37

Miasma Belief(2)• Miasma theory: diseases are caused by

putrefaction gases or noxious fumes from decaying organisms

– e.g., unhealthiness of swamp regions, cesspools, excrements, etc

– “Harlem flats have sufficient supply of rotting filth to generate fetid gases to poisoning of half the population” (NYC Bureau OH 1885)

• Multicausal: miasma and individual predisposition

38

Miasmatic Theory

New York, 1832 epidemic

39

Five Points, NY, 1827

40

Horatio Bartley Pamphlet

• Apothecary of New York • Description of cholera cases at one

of the city's cholera hospitals • Of the 410 patients admitted to

this hospital, 179 died• The attempted remedies included

mercury, camphor, and pouring boiling water on the victims.

41

Cholera Case Series

42

Mercury, sulphur. Death

Shock. Death

Camphor. Peppermint. Death

Camphor. Mercury. Cured

Camphor. Mercury. Died.

INDIVIDUAL THINKING. TR

IAL

AND ERROR

Page 10: Erasmus Summer Program 2010 August 16-20 2010 History of ...weber.hs.tmu.ac.jp/cat/kaken20_22/Dr_Morabia.pdf · Erasmus Summer Program 2010 August 16-20 2010 "History of epidemiologic

43

Bartley’s Case Series•Individual thinking•Trial and error, one patient at a time.

•Weak approach to causality

•None of the treatments are still valid today

Individual Thinking

44

Contagionist Belief (1)

Germ

Orally ingested

Rice-water stools (+vomit)

Direct contamination: Hand to mouth spread

Indirect contamination: Drinking water (contaminated) with cholera evacuations)

(Adapted from Vinten-Johansen, 2003, p.203)

45

Contagionist Belief (2)

• Also the Germ theory of disease

• Mono-causal

• John Snow was a contagionist

• Had few early believers until Robert Koch discovered the bacteria of anthrax (1876), of tuberculosis (1882) and of cholera (1883)

46

Contagionist’s Model

47

The Cause of CholeraWilliam Farr (1807-1883) John Snow (1813-1858)

Miasmatist

Contagionist48

London, 1850, water was supplied by private companies, incl. the Southwarkand Vauxhall, and the Lambeth.

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49

Thames

SouthwarkandVauxhall(polluted water)

SewageofLondon

sea

1849

1853-4

(polluted water)

(clean water)

Lambeth

Before-After Comparison

Parish Company 1849 1853

Christ-church

Lambeth ~160/10,000 43/100,000

St. Saviour

Southwark & Vauxhall

153/10,000 227/ 100,000

50

Cholera deaths in two parishes, 1849 vs. 1853

51

POPULATION TH

INKING.

GROUP COMPARISON

[Concurrent] Group comparison

Population thinking

1854 Cholera Epidemic in South London

Cholera deaths per 10,000 households in 1854

53

POPULATION TH

INKING.

GROUP COMPARISON

54

Individual vs. Population thinking• Where hundred of thousands of individual

trials and errors had failed,• A single population-based experiment

identified a possible way of preventing cholera.

• Snow’s conclusion is still valid today: cholera is transmitted by contaminated water

• Group comparison is a powerful approach

Page 12: Erasmus Summer Program 2010 August 16-20 2010 History of ...weber.hs.tmu.ac.jp/cat/kaken20_22/Dr_Morabia.pdf · Erasmus Summer Program 2010 August 16-20 2010 "History of epidemiologic

Video

• http://www.youtube.com/watch?v=cZrA1Wk4Yxo, 1:12-6:00

55

D. What is epidemiology?

Epidemiology = Population Thinking +

Group Comparison56

Role of Population studies• Answer questions that have no

answer at the Individual level• Does the tx work?• Is this exposure deleterious or

protective?• Epidemiologic methods are used for

most of the health information you read about or you know about.

57 58

Principles of epidemiology1. Population thinking (measuring

occurrence and evolution of events in population)

2. Group comparison (Experiment)3. Concepts related to population thinking

and group comparison :1. confounding, 2. interaction, 3. bias, 4. causal inference

Data to draw the epidemic curve of cholera.Hamburg, 1892

59

month day cases8 16 28 17 48 18 128 19 318 20 668 21 1138 22 2498 23 3388 24 3588 25 6088 26 9038 27 10248 28 9368 29 9258 30 10088 31 8509 1 8639 2 8439 3 7329 4 6649 5 6279 6 4469 7 4309 8 3629 9 3379 10 3519 11 3259 12 3179 13 2419 14 286

month day cases9 15 2949 16 3449 17 2859 18 2219 19 2379 20 1929 21 1719 22 1609 23 1349 24 1099 25 919 26 709 27 699 28 589 29 369 30 46

10 1 2310 2 2610 3 1510 4 1710 5 1310 6 610 7 910 8 1510 9 810 10 110 11 1410 12 210 13 510 14 8

Homework Epidemic Curve

60

Cholera cases in Hamburg, August-October 1892

Date

Nu

mb

er

of C

ase

s

Au

g 1

6

21

26

31

Se

pt 5 10

15

20

25

Oct

1 5

10

15

0

100

200

300

400

500

600

700

800

900

1000

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Characteristics of Epidemic Curves• Distribution of time of onset • Distribution of incubation periods• Lognormal shape if outbreak

caused by a single agent (e.g., cholera bacillus) and transmitted by the same vehicle (e.g., drinking water)

• Outbreak recesses when number of susceptible people diminishes

61

Median incubation time (dates on a log scale)

62

Cholera cases in Hamburg, August-October 1892

Date

Nu

mb

er

of C

ase

s

Au

g 1

6

21

26

31

Se

pt 5 10

15

20

25

Oct

1 51

01

5

0

100

200

300

400

500

600

700

800

900

1000

Using Software Packages to Create Epi Curves

• Epi curves may be done by hand or with software such as Microsoft Excel, Microsoft PowerPoint or Epi Info

• To create an epi curve in Microsoft Excel:– Click the “Chart wizard” on the tool bar– Choose “Column” as the chart type– Click “Next” twice and specify the chart

options– Click “Next”– Click “Finish”

Homework

–Change the “Gap width” to “0”to get the bars to touch

R0 - Reproduction Number

• Mean number of secondary cases a typical single infected case will cause in a population with no immunity to the disease

• Measles: R0 = 12-18 • HIV/AIDS: R0 = 2-5• Influenza: R0 = 2-3

64

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Title History of epidemiologic ideas

2

Lecture 2

Preformal Group Comparisons

History of Epidemiologic Ideas

3

Outline

• 18th Century England: Lind• Paris 1830: Louis• Vienna 1848: Semmelweis• Limitations of Preformal Group

Comparisons

4

First epidemiologic group comparison

•James Lind (1716-1794)

•A Treaty of Scurvy

5

Scurvy

Swollen & bleeding gumsPurpura/dermal

hemorrhage6

The Salisbury trial “On the 20th of May 1747, I took twelve patients in the scurvy on board the Salisbury at sea. Their cases were as similar as I could have them ..”

They laid together in one place …

Had one common diet for all …

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7

Treatment Tx effect

1. Electuary (garlic, mustard seed,

balsam of Peru, etc.) 2. Quarter of cider a day3. Elixir vitriol (3x 25 gttes/d) 4. Vinegar (3x2 spoonfuls/d)5. Sea water (1/2 pint/d)6. 2 Oranges and 1 lemon/d

None

NoneNone

Cured after 6 days

Improved after 20 days

Slight improvement

May 20th 1747, on the Salisburyat sea, 6 pairs of seamen

8

Lind’s conclusion• Lemons and oranges can cure

scurvy• Why didn’t people believe him?• Took another 50 years for the Royal

Navy to give lime juice to its seamen who became known as “limeys”

http://www.jameslindlibrary.org/trial_records/17th_18th_Century/lind/lind_other.php

9

Paris, 1830 •Pierre-Charles-

Alexandre LOUIS,•Researches on the

effects of bloodletting in some inflammatory diseases. (1828)

• Is bloodletting an effective treatment of pneumonia?

“The sophisticated bloodsucker”

http://video.nytimes.com/video/2006/02/06/science/1194817115698/defending-the-leech.html

11

Pierre-Charles-Alexandre Louis (1787-1872)Bloodletting

Page 16: Erasmus Summer Program 2010 August 16-20 2010 History of ...weber.hs.tmu.ac.jp/cat/kaken20_22/Dr_Morabia.pdf · Erasmus Summer Program 2010 August 16-20 2010 "History of epidemiologic

François Joseph Victor Broussais (1772-1838)

14

PCA Louis’s study• 77 Cases of pneumonia from La Charité

27 died

All bled, but at different times after disease onset

15

Louis’s hypothesis• If bloodletting is effective, patients who are

bled during the first 4 days of the disease should do better than those who are bled later

Thus…

• People who died from pneumonia must have been bled in average later in the course of the disease than those who survived

16

P.C.A. Louis: bleeding day and deaths from pneumonia

Dead Survived(27) (50)

%Bled on day:1 - 4th 67% 46%5 - 9th 33% 54%

“Researches on the effects of bloodletting in some inflammatory diseases”

17

Louis’s dataPatients with pneumonia

Died27

Bled day1-467%

Bled day5-933%

Survived50

Bled day1-446%

Bled day5-954%

18

Ignaz Philipp Semmelweis

1818-1865

Semmelweis

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19

Mortality from Puerperal Fever in Vienna General Hospital

MD’s

20

Semmelweis’s hypothesis

0

2

4

6

8

10

12

14

16

18

1841 1842 1843 1844 1845 1846

%Clinic 1

Clinic 2

MD’s

Midwives

Overall mortality in two clinics. Vienna, 1841-1846

21

Overall mortality rates in two clinics. Vienna, 1841-1848

0

2

4

6

8

10

12

14

16

18

1841 1842 1843 1844 1845 1846 1847 1848

%

Clinic 1

Clinic 2

May 1847, chlorine hand washing

Modern analysis of the Vienna General Hospital Data

22

Noakes et al, Epid Inf, 2008

Reanalysis of the Vienna General Hospital data

23

Noakes et al, Epid Inf, 2008

24

Noakes et al, Epid Inf, 2008

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25

Major Limits of Pre-Formal Epidemiology1. Weakness of study

designs: cause to effect or effect to cause?

2. Group comparability

26

Directionality of 19th Century Group Comparisons

• The direction of the analysis (from cause to effect or effect to outcome) is not fixed by design.

• Associations can be looked at both ways

27

Two main types of group comparison

1.Compare disease occurrence

2.Compare past exposure

28

Early Bleeding

Dead Survived

Late Bleeding

Dead Survived

Patients with pneumoniaCase series

Louis’s clinical study

29

Death

Early bleeding

Latebleeding

Survival

Early bleeding

Latebleeding

Louis’s clinical study

30

ThamesSouthwark and Vauxhall(polluted water)

Lambeth(clean water)

Sewage of London

sea

After (1853-54)

Thames

Southwark and Vauxhall(polluted water)

Lambeth(polluted water)

Sewage of London

sea

Snow’s Natural Experiment: before (about 1849)

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31

1) Compare disease occurrence

• Exposed vs. non exposed

• Southwark and Vauxhall vs. Lambeth => compare mortality from cholera

32

Lambeth

Dead fromCholera

(Measured)

Not dead from cholera

(estimatedFrom

number of clients)

Southwark and Vauxhall

Dead fromCholera(measured)

Not dead from cholera

(estimatedFrom

number of clients)

Population of London

Snow’s natural experiment

33

2) Compare past exposure

• Affected vs. non affected

• Died of cholera vs. did not die from cholera => compare water companies

34

Death (measured)

Lambeth S & W

Survival(estimated

Fromnumber of

clients)

Lambeth S & W

Snow’s natural experiment

35

Group Comparisons before 1900

• The direction of the analysis – From cause to effect – From effect to outcome

is not fixed by design.

• Associations can be looked at both ways• Does not appear rigorous as in an

experimental setting

36

Criticisms of Snow, Louis and Semmelweis

•Groups are not comparable!

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37

Farr’s criticism …

“To measure the effect of bad or good water supply, it is requisite to find two classes of inhabitants

• living at the same level [elevation], moving in equal space, enjoying an equal share of the mean of subsistence, engaged in the same pursuits,

• but differing in this respect, - that one drinks water from Battersea [supposedly polluted water], the other from Kew ….

• But of such experimenta crucis the circumstances of London do not admit ….”

(William Farr, November 19, 1853)

ARE THE GROUPS COMPARABLE

for their exposure to miasma?

38

… Snow’s facts“ No fewer than 300,000 people

• of both sexes, of every age and occupation, and of every rank and station, from gentlefolks down to the very poor,

• were divided into two groups without their choice, and, in most cases, without their knowledge;

• one group being supplied with water containing the sewage of London, and, amongst it, whatever might have come from the cholera patients, the other group having water quite free from such impurity.”

(Snow, 1855,pp.46-47)

THE GROUPS ARE COMPARABLE

39

Farr’s Theory of Elevation Snow’s Facts

“the fact of the most elevated towns in this kingdom having suffered excessively from this disease on several occasions, is opposed to [Farr’s] view, as is also the circumstance of several buildings (…) having nearly or altogether escaped cholera, though situated on a very low level.”

40

GROUPS ARE NOT COMPARABLE

for their access to clean water

41

Where are the FACTS?

• What was the evidence that the groups were comparable?

• No theory to formally address the criticism of non comparability

• Epidemiologists can only propose logical reasons to rule out the effect of a third factor

42

Back to Louis’s study

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43

PCA Louis: bleeding day and deaths from pneumonia

Dead Survived(27) (50)

% Bled on day:

1 - 4 67% 46%5 - 9 33% 54%

44

Criticism of Louis’s study design

• Why is Louis allowed to compare those who died with those who survived?

• Imagine two people who get pneumonia in 1830, but with different degrees of severityAre their clinical histories comparable?

45

Patient selection?• Patient n°1, very severe pneumonia,

early admission, desperate bloodletting, dies

• Patient n°2, benign form, stays home during the most acute phase, already better when admitted, late bloodletting, survives

• How can this patient selection influence the results?

46

Selection bias?• Dead patients are bled earlier because

they have the severe form of the disease• Survivors are bled later because they

have the benign form of the disease• The study may not test the effect of

bloodletting because the two groups are not comparable with respect to exposure to treatment

47

PCA Louis’s study(+) Compared groups had same

population of origin (all came to same hospital – La Charité - for the same disease)

(-) Subjects were not sampled independently of the severity of disease

=> Not a real case-control study. We cannot use the proportions of early bloodletting to estimate a relative risk

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Title History of epidemiologic ideas

2

Lecture 3

Preformal Concepts

History of Epidemiologic Ideas

3

Complete interaction: Two causes need to be simultaneously present

Hemolytic anemia

G6PD-deficient

Fava Beans

4

Fava bean, G6PD and Pythagoras

5

Interaction between fava bean, hemolytic anemia and G6PD deficiency

• Fava beans produces hemolytic anemia only in people with G6PD-Def.

• Hemolytic anemia occurs in G6PD-Def. only if they are exposed to fava beans

No interaction: Same effect of G6PD for the whole population

Population

Risk in G6PD+

Risk in G6PD-

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Interaction: Different effects of G6PD in subgroups of the population

Population

Fava bean +

Fava bean -

Risk in G6PD+

Risk in G6PD-

Risk in G6PD+

Risk in G6PD-

8

The 19th century cholera debate

Germ or miasma?

9

Contagionist Theory (1)Germ

Orally ingested

Rice-water stools (+vomit)

Direct contamination: Hand to mouth spread

Indirect contamination: Drinking water (contaminated) with cholera evacuations)

(Adapted from Vinten-Johansen, 2003, p.203)

10

Miasma (Pollution) TheoryDecomposing organic matter

Inhaled in the lungs

(Adapted from Vinten-Johansen, 2003, p. 175)

Miasma

Disease

Humoral/constitutional predisposition

11

No theory could explain all observations about cholera • Miasma theory could not explain why

cholera epidemics followed the routes of human travel and, in a locality, went from ship to harbor and markets before reaching areas more inland as a contagious agent would.

• Contagionists could not explain why doctors and nurses treating cholera patients did not always get cholera.

12

Max von Pettenkofer (1818-1901)

• German hygienist. • Around 1850 he shifted

his interest from chemistry to hygiene of food, clothing, air, water and sewage.

• “Evidence-based public health”

• First Professor of Hygiene and Chief of the Hygiene Institute of Munich, Germany.

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13

“Ground-Water Level Theory”

• For Max von Pettenkofer, cholera epidemics involved both the cholera germ and the environment.

• His “ground-water level theory” blended both the contagionist and the miasmatic theories

Cholera germin human excrements

X=

Putrefaction

Z = Cholera miasma

Y = Decay in soil

Ground

Smell

Infection

Ground water level

Ground water level theory

15

Ground-Water Level Theory

• Soil factor: Low, porous and humid soils

• Seasonal factor: summer, when the ground-water level was low.

• Data showed an inverse correlation between ground water levels and incidence of cholera in several European cities.

Pettenkofer’s slide

Cases of cholera (histograms on top), underground distance to water level (in meters, curve), and daily rainfall in millimeters (histograms at the bottom) from October 1873 to May1874 in Munich, Germany.

17

Pettenkofer’s slide

Cases of cholera (histograms on top), underground distance to water level (in meters, curve), and daily rainfall in millimeters (histograms at the bottom) from June 1873 to Mai 1874 in Munich, Germany.

18

Ground-Water Level Theory

• “Neither x nor y can produce cases of Asiatic cholera; only z.

• The specific nature (quality) of z is determined by the specific germ x; its amount (quantity) by the amount of y.

• The nature of x, y and z is so far unknown but one may assume, with a scientific probability bordering on certainty that all three are organic of nature and that x, at least, is an organized body or germ”

(von Pettenkofer, 1869)

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19

Pettenkofer’s germ-environment interaction

Cholera miasma (z)

Cholera germ (x)

Ground level water low (y)

Cholera disease

20

Interaction: heterogeneity of effect of cholera germ on cholera disease

Population

Porous Soil

Rocky Soil

Risk in Germ+

Risk in Germ-

Risk in Germ+

Risk in Germ-

21

GWLT consistent with Farr’s elevation theory

22

GWLT consistent with Pasteur’s theory of fermentation.

23

Pasteur’sexperiment

24

GWLT was compatible Koch’s discovery of the “comma bacillus”

Robert Koch (1843-1910), his wife, her hat, and vibrio cholerae

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25

GWLT was consistent with effects of public hygiene and sanitation

• Drainage, sewage systems, clean water-supply and dwellings appeared to prevent contacts of the cholera germ-bearing excrements with susceptible soils

• Also explained why cholera followed human travels but produced outbreaks in certain localities only.

26

Weaknesses of the GWL hypothesis• The theory implied that cholera did not put

populations at risk as long as the germ did not get in contact with appropriate soils.

Pettenkofer therefore preached that:

• Quarantine and isolation were ineffective against cholera. Cholera patients could go to markets, festivals and gatherings.

• Populations were wise to migrate away from the epidemic.

• Water did not have to be sand-filtered even though it was an effective way of eliminating the cholera germ.

27

The deadly experiment• 1892, cholera contamination of

water supply of Hamburg and Altona, two adjacent German cities

• Altona sand-filtered its water and had few cholera deaths

• Hamburg did not filter water and 8,606 people died from cholera (1.3% of its population).

28

Cases Deaths

Cholera on the Hamburg-Altona boundary, August-November 1892. From: RJ Evans, 2005

Epidemic Curve, Hamburg 1892

29

Cholera cases in Hamburg, August-October 1892

Date

Nu

mb

er

of C

ase

s

Au

g 1

6

21

26

31

Se

pt 5 10

15

20

25

Oct

1 5

10

15

0

100

200

300

400

500

600

700

800

900

1000

30

Fate of the ground water level hypothesis

• Pettenkofer was mocked and reviled, even after having survived drinking a cholera broth in public.

• Later committed suicide (direct relation not established).

• Pettenkofer’s theory were not formally refuted.

• E.g., nobody found it necessary to demonstrate that the ground water level theory was confounded by other factors, which favored the dissemination of the germ.

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31

Was Pettenkofer wrong?

• Specifics of GWLT were wrong.• What about his multicausal mode of

thinking?

• Isn’t Pettenkofer’s mode of thinking more appropriate to frame hypotheses about the causes of cholera epidemics than the germ theory alone?

–How can we prevent cholera pandemics?

32

Cholera pandemics

• Since 1883, there have been at least two more cholera pandemics affecting Europe.

• The seventh pandemic lasted from 1961 to 1971, even though we knew by then how to treat individual cases of cholera

• The presence of the bacillus alone cannot explain why these outbreaks hit certain communities and not others.

33

Modern theory of cholera -environment “interactions” (Colwell, 1996)

• Warm precipitations (e.g., monsoons), in India

• Fresh water mobilizes nutrients in the estuary and starts cholera’s growth cycle.

• Cholera germ replicates on copepod’s egg sack and then gets dispersed into the water.

• Crabs, clams, and oysters concentrate the cholera bacteria in their gut tracts.

• Humans ingest contaminated seafood in springtime, get cholera, and disseminate it.

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Title History of epidemiologic ideas

2

Lecture 4:

Early Population Thinking

3

315/37~8

1. Can you identify a potential source of bias in the way Snow reported the results of his survey?

4

Deaths to households RATIORatio = a ÷ b (where a and b are distinct quantities)

a = deaths from cholerab = number of households

Imagine that the Southwark and Vauxhall households were more crowded than the Lambeth’s. How would this affect Snow’s interpretation?

5

2) This table reflects the way William Farr decided to look at the results? What are the advantages and disadvantages relative to the way Snow used in the previous slide?

6

Proportion of deathsProportion = a ÷ (a+b)

a = deaths from choleraa + b = number of people exposed to a

water supplierNote: probability and risk are also

proportions.Using census data in the denominator

was better than ratio, but not quite a probability

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7

3) A great theoretical contribution of Farr was to propose a way to provide a quantified answer to the following paradox:

• “Phthisis [i.e., tuberculosis] is more dangerous than cholera”

•Why does “cholera excite the greatest terror”? (William Farr, 1838)

On the basis of the table on the next slide, can you find out how Farr was able to show that the paradox was only apparent?

8

William Farr’s « On Prognosis »

46 /100/week50 /100/yr

9

Farr’s Answer

Rate, force of mortality

Risk

50% chance of dying in a week impresses more than 100% chances of dying in two years

Why does “cholera excite the greatest terror”?

“Phthisis is more dangerous than cholera”

“Cholera destroys in a week more than phthisis consumes in a year.”

Risky Rates (2415/100 sick-yrs)

It seems that in a certain military theater it was policy to send home, at the end of each month, any soldier contracting venereal disease, and to replace him instantly with a disease-free soldier, thus maintaining a constant strength of 100,000 men. Each month, 10 per cent of the number present contracted venereal disease, so that, in one year's time, 120,000 new cases of venereal disease developed, leading to an incidence rate of 120,000 per 100,000 per year. The unfortunate statistician computing these results was rebuked by his superiors, who knew that "rate" and "proportion“ were synonymous and that a proportion could not exceed unity. When the statistician persisted in his calculation, he was sent as a disease-free replacement to the theater in question. It is not known, however, whether he maintained his disease-free status.

10

Cornfield, AJE, 1976

Was epidemiology the handmaid of bacteriology?

• Koch – Anthrax Bacillus• Yersin – Yersinia Pestis• Epidemiologists become

dectectives: Identify the infectious culprit often without the help of bacteriology labs

• E.g. Foodborne outbreaks

11 12

Typhoid (enteric) fever

• 1900 England…. Foodborne disorders– TBC, trichinosis, etc.– 1885 Salmonella enteridis

• Do oysters cause enteric fever?– “Worshipful Company of Fishmongers” say

no, of course– Reports of cases following oyster

consumption

• British Local Govt Board needs evidence from population data

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Salmonella Typhi.

The cause of typhoid fever, a disease that sickens 21 million people and kills 200,000 worldwide every year.

13

Asymptomatic carriers played an essential role in the evolution and global transmission of Typhi.Typhoid Mary = Mary Mallon

14

The Winchester outbreak

• Banquet to honor departing mayor of Winchester in 1902–134 guests –10 cases of enteric fever (9 guests

and 1 waiter)–4 deaths

• Epidemiologic inspector H. Timbrell Bulstrode sent to investigate

15

H. Timbrell Bulstrode and Winchester City Hall

16

Winchester Banquet

17

Menu approach – Attack rate• HTB sent the menu to all

participants asking them which food they had eaten and whether they got sick–Oysters eaten by 61% of sick and

100% of enteric fever–9 out of 113 oyster eating guests got

enteric fever (attack rate=8%)–4 out of 10 cases (9 guests and 1

waiter) died (case fatality rate=40%)

18

Strengths and limitations• Conclusion of HTB based on consumption

and attack rate among the sick: 10% of oyster eaters got enteric fever and 100% of enteric fever cases ate oysters. No other food item competed with oysters

• Limitation: did not try to compare the attack rate between the sick and the non-sick even though he had the data, which he reported in a non-aggregated form

• 52% of the non-sick had eaten oysters

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“’O Oysters,’ said the Carpenter / ‘You've had a pleasant run! / Shall we be trotting home again?' / But answer came there none-- /And this was scarcely odd, because / They'd eaten every one.”

Through the Looking-Glass, and what Alice Found There (1872).

Mary Mallon (1869-1938)Fifty-one original cases of typhoid and three deaths were directly attributed to her (countless more were indirectly attributed) in New York City, although she herself was immune to the typhoid bacillus (Salmonella typhi).

20

21

Almroth Wright and anti-typhoid vaccine • 1896: AW develops anti-typhoid

vaccine• Tried among volunteers of British

Army• Concludes that the inoculation is

effective for preventing typhoid• Recommends Army routinely

inoculates soldiers with vaccine

22

Typhoid Vaccine Controversy

23

Antityphoid inoculation. British Army in India, 1901

Inocul-ation

Cases Deaths Total Risk /1000

Deaths /1000

Yes 32 3 4,883 6.6 0.6

No 744 199 55,955 13.3 3.6

Wright AE. Anti-typhoid inoculation, 1904:56-7

24

Karl Pearson vs. Almroth Wright• Pearson reviews data negatively (not a

randomized trial) and recommends more research.

• Letter exchanges between KP and AW in BMJ 1904

• Test: Monitoring vaccine use in soldiers between 1904-1908

• Question: how should the data be analyzed as all soldiers are not inoculated at the beginning of the survey?

• Two solutions: Army vs. Greenwood and Yule

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25Karl Pearson (1857-1936) Almroth E. Wright (1861-1947)

Pearson and Wright

26

Modes of analysis of inoculation data

Start End

Cases

Inoculation waves

Inoculation status at the start

Inoculation status at the end

ArmyGreenwood and Yule

27

Anti-typhoid inoculation. British Army, 1904-1908

Inoculation Cases Total Risk/1000(army)

Risk/1000(G&Y)

Yes 56 10,000 5.4 8.0

No 272 9,000 30.4 23.0

Leishman, J R Army Med Corps, 1909

28

Army report’s mode of analysis (Hypoth risk diff=.64-.33=.31)

1234567891011121314151617181920

C - - - - - - - -

C - - - - -

2 cases,

6 inoculated

Risk=33%

&

9 cases,

14 uninoculated

Risk= 64%

--------- CII---------------------------

C------------------ I

I

I

----------------------------------I

C

C

C

C

Define inoc status

C

CC

Army report’s mode of analysis

CI--------------------------- Define inoc

status

Disease-free,

uninoculated,

misclassified

Disease-free,

inoculated inoculated

30

Limitation of Army’s mode of analysis

Exposure at the end of risk period. • Army mis-attributes some disease-

free non-inoculated time to the inoculated

• Increasing apparent protection of inoculated=> increases apparent efficacy of vaccine (risk difference)

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Greenwood and Yule’s mode of analysis (hypoth RD=.56-.50=.06)

1234567891011121314151617181920

C - - - - - - - -

C - - - - -

1 case,

2 inoculated

Risk=50%

&

10 cases,

18 non inoculated

Risk= 56%

--------- CII---------------------------

C

------------------ I

I

I

----------------------------------I

C

C

C

C

Define inoc status

CC

C

Greenwood and Yule’s mode of analysis

CI---------------------------

Disease-free,

uninoculated

Disease-free,

inoculated,

misclassified

Define inoc status

uninoculated

33

Limitation of G&Y mode of analysis

Exposure at the beginning of risk period.

• G&Yule attribute some inoculated time to the non-inoculated

• Decreases risk in non-inoculated=> decreases apparent vaccine efficacy (risk difference).

34

Karl Pearson vs. Almroth Wright: Epilogue

• None of the solutions is satisfactory, but both show protective effect of inoculation.

• Routine anti-typhoid inoculation introduced in British Army following the 1904-1908 survey.

• Added: personal, unit and cookhouse hygiene and water purification

• Status of controversy in 2005: “Injectable anti-typhoid vaccines have long been available and provide 70 to 90 percent protection for up to 7 years. Because they tend to cause fever, pain and swelling at the injection site, and a general feeling of being unwell in about one in four vaccines, these vaccines are poor public health tools”.

35 36

Austin Bradford Hill (1897 - 1991)

•Austin Bradford Hill proposes an alternative mode of analysis

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37

Austin Bradford Hill (1897- 1991)• Pilot in the First World War• Degree in economics by correspondence • 1922: Associated with Major Greenwood and

attended lectures by Karl Pearson• 1933: Reader in Epidemiology and Vital

Statistics• 1947 Professor of Medical Statistics • Textbook, Principles of Medical Statistics• P. Armitage: "to anyone involved in medical

statistics, epidemiology or public health, Bradford Hill was quite simply the world’s leading medical statistician."

38

Hill’s example of the fallacy

39

Hill’s “Fallacious Comparison”(Army’s mode of analysis)

Ratio of attacks to final population of group.

Inoculated 110/1,000 = 11.0 %

Non-inoculated 890/4,000 = 22.3 %

Conclusion: inoculation protects

40

Person-times

• Weigh each observation according to the time it was observed:

300 persons, each observed for a quarter of a year = 300 x 0.25 = 75 person-years

41

Hill’s “True comparison”

Ratio of attacks to person-years of exposure.

Inoculated :

110/ [(300 x ¼) + (900 x ¼) + 1,000 x ¼)] = 20 %

Non-inoculated :

890/(5,000 x ¼) + (4,700 x ¼) + (4,100 x ¼) + (4,000 x ¼) = 20 %

No effect of vaccine42

Three modes of analysis of inoculation data

Start End

Cases

Inoculation wavesGreenwood & Yule’s analysis

Army’s analysis

Hill’s analysis

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43

Conclusion: the usage of person-times•Rates having person-time in the denominator accurately describe disease occurrence in populations with incomplete follow-up or comparisons of dynamic populations

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Title History of epidemiologic ideas

2

Lecture 5:Early Group

Comparisons

3

Group Comparisons before 1900

• The direction of the analysis – From cause to effect – From effect to outcome

is not fixed by design.

• Associations can be looked at both ways• Does not appear rigorous as in an

experimental setting

4

Group Comparisons after1900

•Emergence of cohort studies takes place in a perturbing phase of the history of public health.

•Western society’s, “big threat” had changed between the 1800s and 1900

5

1800 Threat: Famine and Collapse

Thomas Malthus (1766-1834) 6

Last quarter of 19th century• The economic development in Europe

demonstrated the falseness of Malthusian theories

• Populations grew but societies did not collapse

• Means of production and wealth had grown at an even faster pace.

• Higher wages, social legislation, insurances.

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7

From Malthus to Darwin

• The new big fear that replaced Malthus’s came from the Darwinian theory of evolution.

• Degeneration of the species replaced lack of food as the great menace.

8

Social Darwinism • Social scientists apply the concept of

“survival of the fittest” to human populations.

• Progress of medicine and social legislation lead to the survival of less-than-fit people

• Dilution of the quality of the species• Eventually, disappearance of the human

species as a whole. • Solution is “eugenism”: control procreation

of less fit, e.g., malformed, invalid, feeble-minded, diseased, etc.

9

Eugenism in epi and stat• Eugenism became very popular in

statistics and epidemiology at the turn of the 20th century.

• The English school of statistics (Galton, Pearson and Fisher), more mathematical and less “statist” than Farr, supports the eugenic movement and gives it scientific legitimacy. Galton (1822-1911)

Pearson (1857-1936)

Fisher (1890-1962)

11

Racial Hygiene (Germany)German version of Social Darwinism•1895. Alfred Ploetz coined the term “Rassenhygiene”•Society for Racial Hygiene created in 1905. In 1910, Stuttgart branch created by W. Weinberg•Before WWI, RH is no more racist or anti-Semitic than typical Western society ideology.•RH movement infiltrated by nazi after WWI and manipulated after 1933.

12

Racial Hygiene• German eugenics: compulsory

sterilization, commitment of ‘defective asocials’ in psychiatric institutions, etc.

• German social medicine and health reformers (e.g., Alfred Grotjahn) were pro-eugenics

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13

Tuberculosis• TB is a source of concern for RH• TB is the major killer in Western

societies. • TB people have families and children. • Do TB people reproduce at a higher

rate than healthy Germans and hence represent a menace to the German people?

14

Koch and bacillus (1882)

Robert Koch (1843-1910)

15

Tuberculosis

• “consumption” vs. sanatoria16

First large cohort study ever • First LARGE cohort study performed to

assess the TB menace for the German race.

• Follow-up for 20 years and comparison on overall and TB mortality of 28,000 children (from 7000 parents) differing by TB exposure

• Conducted by Wilhelm Weinberg, in Germany, and published in 1913

17

Wilhelm Weinberg (1862-1937)•42 years of private practice

•“doctor to the poor”

•3500 deliveries

•Founder and leader of the Stuttgart Society for Racial Hygiene

•Wrote 160 papers

•Worked alone

•Died poor

Kinder der Tuberkuloesen (Cover page)

“The mathematics of Weinberg seemed abstruse”.

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19

A. Morabia, R. GutholdWilhelm Weinberg’s 1913 large

retrospective cohort study: a rediscovery

American Journal of Epidemiology 2007 165(7):727-733

Publication

20

Main objectives of Weinberg’s study1)whether children of people

with TB had a higher mortality from all causes and from TB;

2)whether people with TB had a higher fertility.

21

Sources of Data• The Mortality Register of Stuttgart listed

all deaths from TB (life table)• The Family Registry of Stuttgart

provided all familial bonds (life table)• Annual abstract of statistics of

Statistical State Agency of the State Baden-Württemberg (Stuttgart) (SMR)

22

Method1. Retrieved the names of those who died from TB

between 1873 and 1902 from the Mortality Register, 2. Identified their children and whether they had

emigrated in the Family Register3. Going back to the Mortality Register, he established

whether the children had died before their 20th birthday but not later than 1909

4. The maximum duration of follow-up was 20 years, that is, up to the child’s 20th birthday

5. For children who emigrated, Weinberg obtained information from new municipalities of residence

23

Cohorts• Exposure = being the child of a person who

died of TBExposed cohort• N=18,052 children born from 3,246 fathers

and 2,022 mothers who died from TB between 1873 and 1889

Unexposed cohort• N= 7,574 children born from 1,830 parents

who died from other causes, then TB in 1876, 1879, and 1886 (which WW considered as “representative” of all deaths between 1873 and 1889)

24

Children of TB

Dead BeforeAge 20

Survive up To

Age 20

Children of non TB

Dead BeforeAge 20

Survive up To

Age 20

Parents died of TB

Weinberg’s cohort study

Parents did not die of TB

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25

Modes of dealing with large sample

• Family cards• Grundtabellen• Urtabellen• Hilfstabellen

26

Family card

27

Grundtabelle

28

Urtabelle

29

Hilfstabelle

Parent TB 20y risk (%)

Average life expectancy

(yr)

Mortality rate

(%/yr)

A Up to age 20 (B) (A/B)

Father Yes 46.82 11.56 4.07

No 40.27 12.73 3.17

Mother Yes 48.11 11.40 4.24

No 40.17 12.76 3.15

TB Mortality (life-table) Risks and Rates

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Risk (Father TB+)

• Risk = deaths / cohort over 20y2960/6322=0.47=> 47% over 20 years

• Does this mean:47%/20y = 2.35%/y?

• Risk over 20 years assumes all children lived for 20 years

31

Risk vs. Rate (Father TB+)• But average life expectancy is 11.6y=> Many children did not survive 20y• Use person times: cohort x life

expectancy, 6,322 children x 11.6y= 73,082 person years

• Rate = deaths /PT = 2960 / 73,082=0.04/y, or 4%/y(Hint: like average speed)

32

Reanalysis of Weinberg’s data

0.40

0.60

0.80

1.00

0 5 10 15 20age

Non_TB_dad Non_TB_momTB_dad TB_mon

Kaplan-Meier survival estimates by TB and sex

TB mother

Non TBTB

FertilityAverage number

Gender TB Non TB

of children Crude Age-adjusted

N Boys 3.44 3.87

N Girls 3.33 4.41

Surviving to 20y Fathers 1.77 2.63 1.90

Mothers 1.78 2.31 1.67

35

Mortality risk by age 20 and social class (Kinder der TB)

0

10

20

30

40

50

60

Aalpha,High

Abeta B C, Low

Social class

Mor

talit

y by

age

20

(%)

TB dadTB mom

Weinberg Hardy

-

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Hardy-Weinberg Equilibrium

38

Children of TB

Dead BeforeAge 20

Survive up To

Age 20

Children of non TB

Dead BeforeAge 20

Survive up To

Age 20

Parents died of TB

Weinberg’s cohort study

Parents did not die of TB

Had Weinberg performed a case-control study …• He would have done very differently• Cases : Identify all deaths before

age 20 over 20 years• Controls: Take one person still alive

at the time of death of each case• Compare the proportion of parents

who died from TB for the cases and or the controls

39

Very different

40

History of case-control studiesJanet Lane-Claypon

(1877-1967)First woman who enters

the epidemiology portrait gallery for her innovations in epidemiologic methodsPioneering applications

of retrospective cohort studies and case-control studies.

41

Women scientists around 1900

• Marie Curie (1867-1934): only scientist to receive Nobel Prize twice (physics in 1903 and chemistry in 1911).

• 1909, Selma Lagerlöf (1858-1940) :first female Nobel Prize winner in Literature.

• The Polish born Rosa Luxemburg (1870-1919), leader of the German Social-Democratic Party, debated Edouard Bernstein and Vladimir Illich Lenin on strategy, economy and nationalism.

42

Lane-Claypon’s 1926 case-control study• London and Glasgow• 500 hospitalized breast cancer cases• 500 controls with non-cancerous

illnesses• Standard interviews• Cases had a smaller number of

children than controls

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43

Breast cancer

nulliparous parous500

Controls

nulliparous parous500

Case-control studyComparison of people having the outcome (cases) with people free of that outcome (controls)No possible “risk”Compare prevalence of past exposure in cases and controls

Had Lane-Claypon performed a cohort study …• She would have done very

differently• Exposed: nulliparous women

followed for many years• Unexposed: parous women followed

for many years• Compare rate of breast cancer

among nuliparous and parous women 44

Very different

45

Lane-Claypon and Recall bias“ … in the event of any divergence between

the two series showing a higher incidence among the cancer series, objections might fairly be raised on psychological grounds. It is evident that a woman who has suffered from a trouble so serious as to require the removal of the breast and the surrounding tissues will be likely to search in her memory for some antecedent causative agent, or event.”

(Lane-Claypon, 1926)46

Case-control study• Design performed to assess determinants of

disease– E.g. causes of breast cancer

• How do you go from comparison of prevalence of exposure …– Cases are more often nulliparous than controls

• … to causal inference– Nulliparity increases the risk of breast cancer

• Solution to this question will hamper the acceptance of case-control study as a valid study design.

47

Group Comparisons after1900• The direction of the analysis (from cause

to effect or effect to outcome) is fixed by design.– A cohort study has fixed exposure and

variable outcome – A case-control study has fixed

outcome and variable exposure• Looking at the association both ways is

either impossible or makes no sense.

48

Wade Hampton Frost (1880-1938)

•Johns Hopkins School of Public Health, Baltimore•1919: Lecturer•1930: First Prof of Epidemiology

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49

Frost’s study in Kingsport

• Small town in Tennessee

• 556 persons living in 132 families, interviewed and examined clinically and radiographically

• 238 ex-members of the families, alive or dead

• Nearly 10,000 person-years, counting each person who entered or left the household in any given year for half a year

• Population divided according to history of family contact with pulmonary tuberculosis

• In the presence of family contact the attack rate, standardized for age, was 12.9 per 1000 against 6.8 per 1000 in the absence of such contact

50

Weinberg and Frost• “The risk of dying from

tuberculosis was found to be twice as high among families exposed to a tuberculous member than among families not so exposed, a finding very similar to those of Weinberg in an earlier prospective study in Germany.” Weinberg W. Die Kinder der Tuberkulosen. Leipzig: Hirzel, 1913. [Comstock, 2004]

51

First Cohort Studies• First epi cohort studies were retrospective

• Design independently discovered by Janet Lane-Claypon (1912, UK), Wilhelm Weinberg (1913, Germ) and Wade Hampton Frost (1933, US)

• Contrary to belief, Weinberg’s study was large and used sophisticated analytical methods

• “Children of the Tuberculous” is a major early epidemiologic work; probably the most important before Goldberger & Sydenstricker work in South Carolina

Joseph Goldberger.

52

•Medicine believed pellagra was an infectious disease.•Goldberger demonstrated it was caused by the dietary deficiency of a vitamin.•Nominated in 1929 (vitamin Nobels) but died before decision.

53

3 D’s: Dermatitis, Dementia Diarrhea

Pellagra

54

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55

Early combination of “cohort”and “case-control” design

• Golberger et al, 1920, Survey of cotton mill workers in South Carolina

• Compared pellagra risks by income or diet

• Compared diet between villages with high (“cases”) or no (“controls”) pellagra incidence

56

Cohort study design

57

• Compared the diet of two poor villages with extreme incidence rates of pellagra: 0 per 1,000 in NY (unaffected) and 64.6 per 1,000 in IN (affected).

• In the unaffected village of NY, 58.1% of the household had reported having purchased fresh meat twice or more in the 15 day record, whereas this proportion was only 8.5% in the affected village of IN.

Case-control study design

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Title History of epidemiologic ideas

2

Lecture 5:Early Concepts

Etymology of “Confounding”

• “these extraneous but unavoidable factors called, aptly, ‘confounders’”(Pollan, NYT 2007)

• Con-fundere: to mix• Confounding: Mixing of effects

producing spurious associations (i.e., amplifies, attenuates or reverses true associations).

3 4

ARTIFACTS

Early 20th century:Confounding as a multicausal fallacy

G Udny Yule

5

Statistician at Cambridge

(1871–1951)President of the Royal Statistical Society in 1924-26.

6

Yule’s Fallacy - Fathers & SonsFathers

Sons Attribute present

Attribute absent

Attribute present 25 25

Attribute absent 25 25

% with attribute 50% 50%

Yule, 1903

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7

Yule’s Fallacy - Mothers & Daughters

Mothers

Daughters Attribute present

Attribute absent

Attribute present 1 9

Attribute absent 9 81

% with attribute 10% 10%

8

Yule’s Fallacy - AllParents

Children Attribute present

Attribute absent

Attribute present 26 34

Attribute absent 34 106

% with attribute 43% 24%

9

Major Greenwood (1880-1949)

First Professor of Medical Statistics and Epidemiology at the London School of Hygiene and Tropical Medicine:

10

Greenwood, 1935Outcome

Group 1 Group 2 All

Inoculated

Non Inoculat

ed

Inoculated

Non Inoculat

ed

Inoculated

Non Inoculat

ed

Dead 50 500 50 5 100 505

Alive 50 500 950 95 1,000 595

% Dead

50 50 5 5 9 46

Epidemics and Crowd Diseases, 1935

11

Austin Bradford Hill (1939)

Outcome

Males Females All

Treated Non Treated

Treated Non Treated

Treated Non Treated

Dead 16 6 16 24 32 30

Alive 64 24 24 36 88 60

% Dead

20 20 40 40 27 33

Principles of medical statistics, 1939

Yule, Greenwood and Hill

• Described the fallacy of mixing strata of a third factor, but did not associate it explicitly with group comparability

• None of them stressed how common the issue was in epidemiologic research

• Seems to have been no follow-up on their work 12

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Find compelling designs or technique to make groups comparable

• Randomization• Stratification• Restriction• Case-control studies• Retrospective cohort studies=>But the first theory of

confounding will not stem from this line of efforts.

13

14

Random allocation

The idea of random allocation of exposure to produce identical groups was in the air since the mid-19th

centuryIts first practical applications took place in the 1930’s

15

Randomized trials are “in principle,” free of confounding

• Participants do not choose whether they will receive the treatment or its control

• The random procedure (i.e., toss of a coin, alternate day allocation) generates in the long run identical groups

• But randomization only applies to the evaluation of potentially protective treatments.

16

MRC trial 1930-33• Patients received, alternatively according to

the order of admission, either a serum treatment or the conventional treatment, which served as control.

1st patient: serum2nd patient:conventional Tx3rd patient: serum Etc.

17

MRC Trial results Effect of serotherapy for Type I, age 20-40

CFR difference = 11.2 – 5.7 = 4.5%⇒Excess CFR if no serotherapy

CFR ratio = 5.7 / 11.2 = 0.5=> Half the CFR if serotherapy

18

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19

Joseph Asbury Bell’s 1941 RCT• Bell JA (1941). Pertussis prophylaxis with two

doses of alum-precipitated vaccine. Public Health Reports 56:1535-1546.

• Earliest methodologically detailed account of a randomized trial. 7 years earlier than streptomycin in pulmonary tuberculosis MRC trial

• “The only practical approach appeared to rest in the selection of two groups, each of which is a random sample of the combined groups in the exact sense of the term.”

• Contact with WH Frost at Hopkins (MPH, 1937)

20

Early Epidemiology• 1880 to 1945• Early epidemiologists: Weinberg, Lane-Claypon,

Greenwood, Goldberger, Frost, Hill, etc.

Population thinking:1. Prevalence vs. incidence

Group comparison:1. First (retrospective) cohort studies 2. First case-control studies3. First randomized therapeutic trials4. First theory of confounding

21

Academic evolution of (early) epidemiology

In the UK and US, there were FIRST

•Professors of epidemiology•Definitions of epidemiology•Textbooks of epidemiology

22

1880-1949 WH Frost 1880-1938

First Professors of Epidemiology: Greenwood (UK) and Frost (US)

23

First Definitions of Epidemiology•“The natural history of the infectious diseases, with special reference to the circumstances and conditions which determine their occurrence in nature" (Frost, 1919).

•"It is ... good usage to speak of the epidemiology of tuberculosis; ... and also to apply the term to the mass-phenomena of such noninfectious diseases such as scurvy, but not to those of the so-called constitutional diseases, such as arteriosclerosis and nephritis" (Frost, 1924).

•“the study of disease, any disease, as a mass phenomenon […] it forms a general picture, an average of what is happening” (Greenwood, 1935)

24

First textbooks of epidemiology

•M. Greenwood, 1935“Epidemics and Crowd-

Diseases“

•WH Frost, 1941“Epidemiology”

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25

Historical Contributions of Early Epidemiology

• Laid down the theoretical foundations for rigorous observational research,

•Created the necessary conditions for the rapid expansion of epidemiology after the second World War.

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Title History of epidemiologic ideas

2

Lecture 7:Classic Group

Comparisons (1)

Selling newspapers, 1910

3

Raymond Pearl (1879-1940). Statistician at Johns Hopkins, 1938 “In our opinion the increase in

smoking with the universal custom of inhaling is probably a responsible factor, as the inhaled smoke, constantly repeated over a long period of time, undoubtedly is a source of chronic irritation to the bronchial mucosa” (1939)4

NO data on sm

oking !

Obituary DeBakey, age 99

“ While working at Tulane University in New Orleans in 1939, Dr. DeBakey and Dr. Alton Ochsner made one of the first links between cigarette smoking and lung cancer. Many prominent doctors derided the concept. Then, in 1964, the surgeon general documented the link.”

5

New York Times, 7/13/20086

INDIV

IDUAL THIN

KING. T

RIAL

AND ERROR

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Ochsner, DeBakey and Dixon, 1947

7 Doctors smoke camels

Do you inhale, Mr. Reagan?

Smoking & lung cancer mortality in the US

11

Medical literature• 1942: “It is doubtful whether the higher

incidence of cancer of the lung observed in recent years is real or only apparent” British Medical Journal

• 1950: “The increase [of lung cancer incidence] may, of course, be only apparent”Med Res Council of The UK, 1950

• Three case-control studies (2 US and 1 UK)

• 1952: “There is little doubt that the increase is both real and numerically important”Lancet

WWII

Smoking & lung cancer mortality in the US

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13

Death rates from cancer of the lung and tobacco consumption in the UK

14

US Studies

Ernst Wynder

Dietrich Hoffman

15

Austin Bradford Hill (1897-1991)

Richard Doll (1912-2005)

British case-controls study

16

Case-Control Study (Doll & Hill, 1950)

SAMPLE

Lung Cancer Cases(649)

Smokers(647)

Non-smokers

(2)

Controls free of lung cancer

(649)

Smokers(622)

Non-smokers

(27)

17

D&H study: design

Cases: lung cancer in 20 hospitals of London

Controls: Age-hospital matched controls

Exposure: questionnaire on duration, dates of starting and quitting of smoking, amount smoked, type of tobacco

Doll & Hill, 195018

D&H Study: Simplest Results

SmokingCases Controls

Yes

No

n

647

2

%

99.7

0.3

n

622

27

%

95.8

4.3

Doll & Hill, 1950

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19

05

1015202530354045

non smoke

rs <5

5 to 1

4

15 to

24

25 to 4

950

+

Cigarettes /day

%

casescontrols

D&H Study: cig/days

20

D&H: Direct interpretation

•Lung cancer cases have smoked more cigarettes in the past than controls

•But does smoking increase the risk of lung cancer?

21

D&H’s transformation of exposure proportions into rates

• Assume distribution of smoking in controls is representative of inhabitants of Greater London

• Get “n’s” for smoking strata => denominator for population at risk

• “Ratio” = cases ÷ “n”• Not risk but proportional to risk

22From Doll and Hill, 1950

“Risks” (=ratios) derived from the case-control study

23From Doll and Hill, 1950

“Relative Risk” 1.0 2.8 14.8 20.0 35.8 55.6

“Relative Risk, ”age 45-54y

1.0 6 19 26 49 65Overall RR

24

Notes on Doll and Hill’s Case-Control Study

• Performed a case-control study but were interested in the relative risk of smoking and lung cancer

• No odds ratios• Relation of odds ratio to risk

ratio published in 1951

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25

Austin Bradford Hill (1897-1991)

Richard Doll (1912-2005)

British Cohort study

26

Rationale for a new study design

" Further retrospective studies would seem unlikely to advance our knowledge materially ... If there were any undetected flaw it would be exposed only by some entirely new approach. That approach we consider should be 'prospective' "

Doll and Hill, 1954

27

Doctor’s Study•October 1951: questionnaire sent to 59,600 doctors of the United Kingdom about their smoking habits

•40,564 valid responses

•Death certificates (since William Farr …)

•10 years of follow-up, 4,597 deaths, of which 212 resulted from lung cancer

28

1951 1961

Exposure and risk periods

Risk period: counting new cases

Exposure to tobacco

29

Cigarettes per day and lung cancer. British Doctor Study (Doll & Hill, 1964)

0

0.5

1

1.5

2

2.5

3

3.5

Nonsmokers

1 to 9 10 to 14 15 to 19 20 to 24 25 to 34 35+

Cigarettes / day

deat

hs/1

000/

yr

30

Years since cessation and lung cancer. British Doctor Study,1964)

0

0.2

0.4

0.6

0.8

1

1.2

1.4

Currentsmokers

<5 5 to 9 10 to 19 10 to + NeverSmokers

Years since cessation

deat

hs/1

000/

yr

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31

Comparison of cohort and case control study results in Doll and Hill 1954

Effect

32

Other Cohort studies• American Cancer Society’s

“Hammond and Horn Study”:–Launched in January 1952, convenience

sample of about 200,000 subjects• U.S. Veteran’s cohort study

– “Dorn study”–300,000 men holder of active life

insurance policies from the Veteran administration identified in 1953

33

Absolute and relative effects •Cancer Prevention Study 1 – 1959 to 1972

•68,000 volunteer “researchers”

•1,000,000 study participants

•Researcher’s job: enroll ten families with any persons 45+ yr old

• Report any deaths during next 6 yrs

Personal recruitment – confidential questionnaire 1964 – First Surgeon-General’s Report

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1965 – Mandatory warning labels 1982 – Cancer Prevention Study 2 launched

Volunteer researcher’s kit Male and female questionnaires

Completed bundles by family or household Opening the confidential envelopes

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Pre-processing – transfer to folders Assigning ID numbers: Div – Unit – Group – Researcher – Family - Person

Packing boxes for shipment to data entry firm CGW, Inc. – Upper Darby, PA

Keying data one screen at a time Quality control checks

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Post-processing quality control Where do you file a million questionnaires?

Phase one of follow-up: Alive, dead, or unknown? Phase 2 of follow-up: coding death certificates

High-tech storage of the 80’s: 9-track tape drives

Adult Per Capita Cigarette Consumption and Major Smoking and Health Events – United States, 1900-2005

0

1000

2000

3000

4000

5000

1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000YEAR

Num

ber

of C

igar

ette

s

Source: United States Department of Agriculture; Centers for Disease Control and Prevention

End of WW II

US & UK Case control Studies

Fairness Doctrine Messages on TV

and Radio

Non-Smokers Rights Movement Begins

Federal Cigarette Tax Doubles

Surgeon General’s Report on ETS

1st Surgeon General’s Report

Broadcast Ad Ban

1st Great American Smoke-out

OTC Nicotine Medications

Master Settlement Agreement

Great Depression

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Title History of epidemiologic ideas

2

Lecture 8:Classic Group

Comparisons (2)

3

Using the “rare disease assumption”

Jerome (Jerry) Cornfield(1912-1979)

Approximation of the RR in case-control studies

4

Jerome Cornfield (1912-1979)• Chairman, Department of Biostatistics at

The Johns Hopkins University • Director of Biostatistics Center at The

George Washington University• President, American Epidemiologic Society

(1972) • President, American Statistical Association

(1974)

5

Context: first CCS of smoking and lung cancer

• Finding: Lung cancer cases have smoked more cigarettes than control cases.

•But does smoking increase the risk of lung cancer?

6

Schrek R, Baker LA, Ballard GP, and Dolgoff S (1950). Tobacco smoking as an etiologic factor in disease. I. Cancer. Cancer Res 10: 49–58.

• 5,003 male admissions, Hines, IL VA hospital, 1941 - 1948,

• Smoking history upon admission, a standard form

• Case groups: lung cancer, other respiratory cancers, upper digestive cancers

• Control groups: all other diseases, all other cancers

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7

Form used by Schrek et al

In book

From Paneth et al, 2004

8

Schrek et al’s 1950 data. White males, 40-49y Cigarettes per day

Lung cancer cases

Controls(no lungcancer)

> 10 P1 = 77% P2 = 58%

Never, and light smokers

1-P1 = 23% 1-P2 =42%

N 35 171

9

Interpretation• Cases with lung cancer are more

often smokers of 10 or more cigarettes per day (77%) than controls without cancer of the lung (58%)

Cornfield 1951 asks:• “Can we estimate from these data

the frequency with which cancer of the lung occurs among smokers and non smokers? ” (p. 1270)

10

Cornfield’s paper, 1951• A method of estimating comparative rates

from clinical data. Applications to cancer of the lung, breast and cervix. JNCI 1951; 11:1269-1275

• Optimal design would be prospective: “select representative groups of persons having and not having the characteristics and determine the percentage in each group who have or develop the disease during the time period”

• This design is “rarely if ever used”

11

Exposure frequencies and risk

• “Actual practice in the field is to take two groups presumed to be representative of persons who do or do not have the disease and determine the percentage in each group who have the characteristic”

• “The difference in the magnitude of the relative [exposure] frequencies does not indicate the strength of the association, however.”

Cornfield, 195112

Rates from exposure frequencies?

• “We are consequently interested in whether it is possible to deduce the rates from knowledge of the relative [exposure] frequencies ” (p. 1269)

• Example: Schrek et al’s case-control study• Uses Bayes Theorem

Cornfield, 1951

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13

Notation

)|(

)(

)|(

)|(

2

1

++=++=

−+=++=

SDPSinRateDPR

DSPpDSPp

S=smokers, D= disease, R= ‘rate’

14

“Effect of smoking”

)|()|( −+++ SDPSDP

Rate Ratio =

15

Rate for smokers 10+cpd

])[(][

)]()|([)()|(

)()|(

)(/),()|(

2121 XpppXpCornfield

DPDSPDPDSPDPDSP

SPSDPSDP

×−+×==

−×−+++×+++×++

=

+++=++

We need P(D+), which Cornfield calls “Annual Prevalence Rate” and denotes X, from external source

16

Rate for non-smokers

])[()1()1(][

)]()|([)()|()()|(

)(/),()|(

2121 XpppXpCornfield

DPDSPDPDSPDPDSP

SPSDPSDP

×−−−×−==

−×−−++×+−+×+−

=

−−+=−+

17

Rate Ratio if P(D) is “rare”

][)21(

)1(

))(1()(

)21)(()21(

)()1(

)(

21

1

211

1

ratioOddsppx

pp

xpDPDxPpppDPpx

DxPpDxPpRR

=−

−=

−+−−−

−=

=0 =1

=0

18

Incidence rates in Schrek et al’s CC study

Cigarettes per day

Formula Incidence rates (/100K/yr)

> 10 (P1 x P(D+)/ [p2 +P(D+) x (p1-p2)]

(0.77 x0.000155)/[0.58 +0.000155 x(0.77-0.58)] = 20.5 x 10-5

Never, and light smokers

(1-p1)xP(D+) / [(1-p2)–P(D+) x(p1-p2)]

(0.23 x0.000155)/[0.42 -0.000155 x(0.77-0.58)] = 8.6x 10-5

Rate Ratio = 20.5 : 8.6 = 2.38

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19

Assume disease is rare: “prevalence” close to zero

Cigarettes per day

Formula Incidence rates (/100K/yr)

> 10 (P1 * Prev)/ [p2 +Prev* (p1-p2)]

(0.77 *0.000155)/[0.58 +0.00003 = 20.5

Never, and light smokers

(1-p1)*Prev / [(1-p2)–Prev*(p1-p2)]

(0.23 *0.000155)/[0.42 -0.00003 = 8.6

20

[Odds ratio] based on Schrek’s 1950 data

Cigarettes perday

Lung cancer cases Controls (no lungcancer)

> 10 P1 = 77% P2 = 58%

Never, andlight smokers

1-P1 = 23% 1-P2 =42%

N 35 171

[OR=] (.77/.23) / (.58/.42) = 2.42(not in JC’s)

21

Implications of the rare disease assumption• If prevalence of disease is small relative to

prevalence of smoking in cases (p2) or non-smoking (1-p2) in controls, P(D+)x(p1-p2) is trivial and may be neglected

• Cases need to be representative of all cases and controls of all subjects free of disease in the target population from which the population risk would be derived

22

Cohort and case-control studies are related designs

“Retrospective studies might on the surface appear to supply only estimates of the proportion of persons with and without the disease who possess the characteristic and not to estimate relative risk. Such an estimate can easily be derived, however.”

(Cornfield and Haenszel, 1960)

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Title History of epidemiologic ideas

2

Lecture 9:Classic Concepts

Yule, Greenwood and Hill

• Described the fallacy of mixing strata of a third factor, but did not associate it explicitly with group comparability

• None of them stressed how common the issue was in epidemiologic research

• Seems to have been no follow-up on their work

3

Origin of the word “confounding”

• In 1926, RA Fisher coined the verb “confound” in statistics

• In factorial designs, discarding some interactions mixes (and therefore confounds) some treatment effects

4

Confounded factorial design

Treatment A- A+

B- 0 AB+ B A&B

5

A&B = A + B + A*BConfounded A&B = A + B

6

E.H. Simpson (1951): Interpreting interactions

Outcome Males Females All

Treated Non Treated

Treated Non Treated

Treated Non Treated

Dead 5 3 15 3 20 6

Alive 8 4 12 2 20 6

% Dead 38 43 56 60 50 50

OR=0.8 OR=0.8 OR=1.0

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7

Conditions for Simpson’s paradox

Second-order interactions CANNOT be ignored when the third variable is: •dependent of exposure among the non-diseased, and•dependent of the outcome variable among the unexposed

Sociology detour?

8

• Identified a class of variables, of which the effects, if not controlled by the study design or analysis, could be “confounded” with that of the “explanatory” variable of interest

• Kish may in turn have influenced Brian MacMahon, Olli Miettinen, and Mervyn Susser

• Sociologist, Leslie Kish, may have linked Fisher’s expression “confound”with Simpson’s paradox in 1959

McMahon & Pugh, 1970• “Epidemiology. Principles

and Methods” (p. 244)

9

“… confounding variables. The latter are variables that may introduce differences between cases and controls which do not reflect differences in the variables of primary interest (study variables)”

Mervyn Susser, 1973

“In an observed association between two variables, a confounding variable is an uncontrolled third variable that is associated with both the independent and the dependent variables.”

(p. 95).10

11

Diagram representing potential connections between variables that may lead to confounding

Susser M. Causal thinking in the health sciences (1973)

12

What is missing in this picture?

-

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13

2x2 Table: Notation

Disease

Exposure Present Absent Total

Yes A B A+B

No C D C+D

Total A+C B+D N

OR = (AxD):(BxC)

14

Case-control study: Pooled

Lung Cancer

Smoking Present Absent Total

1+ ppd 18 13 31

No 46 236 282

Total 64 249 313

ORED =r= (18x236):(46x13) = 7.1

Mantel&Haenszel, 1959

Interpretation of the pooled OR

• Lung cancer cases are 7.1 times more likely to smoke a pack than controls without cancer of the lung

• Those who smoke a pack or more are 7.1 times more at risk of developing lung cancer than nonsmokers

16

Stratum <45y of age confounder

Lung Cancer

Smoking Present Absent Total

1+ ppd 4 5 9

No 2 23 25

Total 6 28 34

ORED|<45y=(4x23):(2x5) = 9.2

Mantel&Haenszel, 1959

17

Stratum <45y of age confounder

Lung Cancer

Smoking Present Absent Total

1+ ppd 4 5 9

No 2 23 25

Total 6 28 34

ORED|<45y=(4x23):(2x5) = 9.2

Mantel&Haenszel, 1959

18

Stratum 45-54y of age confounder

Lung Cancer

Smoking Present Absent Total

1+ ppd 8 4 12

No 8 54 62

Total 16 58 74

ORED|45-54y=(8x54):(8x4) = 13.5

Mantel&Haenszel, 1959

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19

Stratum 55-64y of age confounder

Lung Cancer

Smoking Present Absent Total

1+ ppd 5 3 8

No 16 91 107

Total 21 94 115

ORED|55-64y=(5x91):(16x3) = 9.5

Mantel&Haenszel, 1959

20

Stratum 65y+ of age confounder

Lung Cancer

Smoking Present Absent Total

1+ ppd 1 1 2

No 20 68 88

Total 21 69 90

ORED|65+y=(1x68):(20x1) = 3.4

Mantel&Haenszel, 1959

21

Stratification reveals confounding

• Stratification creates strata of homogeneous exposure to the confounder

⇒ Separates the effect of exposure from that of the confounder

22

Mantel-Haenszel Adjusted OR

= weighted average of stratum-specific OR

ORMH=[A1D1/N1] + [A0D0/N0]

[B1C1/N1] + [B0C0/N0]

23

Mantel-Haenszel adjusted OR= weighted average of stratum-specific OR

ORMH=R

[4x23/34]+[8x54/74]+[5x91/115]+[1x68/90]

= 9.8

[2x5/34]+[8x4/74]+[16x3/115]+[20x1/90]

Mantel&Haenszel, 1959

24

600

120

60 100

100

200

300

400

500

600

Mo

rtal

ity

rate

(/

100,

000/

year

)

Present Absent Absent

Present

Smoking

Asbestos

Smoking, asbestos and lung cancer

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25

Health effects of exposure to asbestos

26

Cohort study [Hammond et al]Exposed cohort : members of

International Association of Heat and Frost Insulators and Asbestos Workers. N = 12,051. Exposed to asbestos > 20 yrs

Non-exposed cohort : workers exposed to dust, fumes, etc. from the American Cancer Society Study (CPS-I) of causes of cancer (N = 73,763)

Outcome : mortality rate from lung cancer

27

Hammond, Selikoff & Seidman’s Table 8

28

Mortality difference associated with asbestos in the non-smokers?

a. RDA,- ? = RA,- - R-,-

= 58.4 – 11.3 = 47.1

29

What is the death rate in the smokers who are not exposed to asbestos?

b. R-,T ?

= 122.6

30

If the mortality difference associated with asbestos was the same in the smokers and non-smokers, what would the death rate be in the smokers who are exposed to asbestos?

d. Expected RA,T ?= R-,T + RDA,-

= 122.6 + 47.1 =169.7

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31

What was the observed death rate of the smokers exposed to asbestos?

c. RA,T ?

= 601.6

32

Additive interaction?

e. Observed RA,T vs. expected RA,T ?

601.6 >>>> 169.8Synergy of Rate Differences= additive synergy= additive interaction

33

Multiplicative interaction?

e. Observed RA,T vs. expected RA,T ?RRA,- ? = RA,- : R-,- = 58.4 : 11.3 = 5.2Expected RA,T ? = R-,T x RRA,- = 122.6 x

5.2 = 637.5601.6 === 637.5 ,

no multiplicative interaction.(if 601.6 < 637.5, then “multiplicative

antagonism”).

34

Sackett’s List of Biases

• Reflects practice of singling out specific sources of bias

• Sackett DL. Bias in analytic research. J Chron Dis. 1979;32:51

35

List of biases (D Sackett, 1979)

Six categories :1. bias in “reading-up” on the field2. in specifying and selecting the study

sample3. in executing the experimental manoeuvre4. in measuring exposures and outcomes5. in analysing the data6. in interpreting the analysis.

36

Miettinen (1976)

Most biases fall under two broad categories (not including confounding):1. selection 2. information Found later in most recent textbooks (Kupper, Kleinbaum and Morgenstern, Rothman, Rothman and Greenland, etc.)

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37

1. Selection bias

• Differential follow-up of exposed and unexposed cohorts ...

• Differential recruitment of cases and controls …

… with respect to outcome-related factors

•Model = Berskon’s bias

Joseph Berkson

• 1899-1982• M.A. degree (Physics) from

Columbia University in 1922 and

• two doctoral degrees from Johns Hopkins, an M.D. in 1927 and a Dr. Sc. in statistics in 1928.

• Head of the Biometry and Medical Statistics Division at the Mayo Clinic

38

39

Joseph Berkson’s selection bias• MD, ScD. (1899-1982). Head, Section of

Biometry and Medical Statistics of the Mayo Foundation for Medical Education and Research in Rochester, Minnesota

• Hospitals only admit a fraction of all cases in the population

• The association of smoking and lung cancer observed in hospital-based studies is biased because of the process of selection of cases and controls

40

“Limitations of the application of four-fold table analysis to hospital data”, 1946 • Mathematical demonstration showing that, if

exposed cases were more likely to be hospitalized than exposed controls, then a comparison of hospitalized cases and controls would find an association between smoking and lung cancer even if no such association existed in their population.

• Uses the hypothetical example of a hospital-based case-control study of the association of diabetes (outcome) and cholecystitis (exposure). Controls are ophthalmology patients who came to the clinic to get glasses because of refractive errors.

Biometrics 1946;2:47-53

41

“Berkson’s bias”

• Under specific assumptions, the case-control study may spuriously observe an excess of cholecystitis of 2.32% (+0.5%) in patients with diabetes but not among controls while there is no such association in the whole population from which cases and controls originate (Berkson, 1946).

42

Rational of Berkson’s BiasTable 22: Population frequency, referral rates, and hospital frequency for

exposed and unexposed cases and controls. Source: Table 5.2. in (Schlesselman, 1982) p.129.

Exposure Disease Population frequency

Proportion referred

Hospital frequency

Yes Case A s1 s1A

Control B s2 s2B

No Case C s3 s3C

Control D s4 s4D

Population odds ratio: ψ = AD÷ BCHospital odds ratio: ψ' = [(s1s4)÷(s2s3)] ψ = bias × ψ

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43

Table 23: Example of a hypothetical hospital-based case-control study of the association of diabetes with cholecystitis, in which cases suffer from diabetes and controls from ocular refractive errors requiring glasses. The proportions referred are: 0.05 for diabetes, 0.2 for refractive errors and 0.15 for cholecystitis. All forces of hospitalization are independent of each other. Source: (Berkson, 1946)

Exposure Disease Population frequency Proportion referred*

Hospital frequency

Yes Case A= 3,000 s1= 0.2087 626

Control B=29,700 s2=0.32 9504

No Case C=97,000 s3=0.069 6693

Control D=960,300 s4=0.20 192,060

Odds ratio** ψ = AD÷BC = (3,000 × 960,300) ÷(29,700 × 97,000) = 1

ψ' = [(s1s4) ÷ (s2s3)] ×ψ = [(0.2087 ×0.20) ÷ (0.32 ×0.069)] × 1 =1.89 × 1 = 1.89

* The reader should refer to the Berkson’s paper to understand how these probabilities were computed.

** Computed using the equations of Table 22 44

Achilles Tendon of Berkson’s bias

• Berkson bias occurs only if exposure itself is an independent cause of hospitalization

• If not, S1=S3 and S2=S4 (no selection bias)

• Back then, smokers were not admitted to hospitals only because they smoked

45

Empirical example of Berkson’s bias

Roberts RS, Spitzer, WO, Delmore T, Sackett, DL.

An empirical demonstration of Berkson’s bias

J Chronic Dis 1978; 31: 119-28

46

2. Misclassification bias

Lilienfeld & Graham. JNCI 1958;21:713-20

47

Circumcision (removal of some or all of the foreskin from the penis) and cervical cancer (Wynder, AJOG, 1954)

Abraham Lilienfeld Ernst L Wynder48

Lilienfeld and Graham’s study

1) Asked 192 men whether they were circumcised

2) MD clinically examined the 192 men and diagnosed circumcision or not

3) Compared self-report and clinical exam

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Lilienfeld & Graham. JNCI 1958;21:713-2050

Quantification of “errors” in Lilienfeld and Graham, 1958.

“Of the 84 patients who the physicians felt were circumcised, 47, or 56%, stated they were not circumcised”

=> Percent of …..“And of the 108 patients determined as not being circumcised, 19 or 18 percent, stated they were circumcised”

=> Percent of …..

51

Modern assessment of validity of self-report among clinically circumcised

Sensitivity = 37/84 = 0.44 Specificity = 89/108 = 0.82

52

Classic definition of epidemiology

“The study of the distribution and determinants of health-related states or events in specified populations, and the application of this study to the control of health problems”

(Last, 2001)

53

Classic epidemiology Texts• Jeremy N. Morris: Uses of Epidemiology

(1957)

• Brian MacMahon: Epidemiology (1970)

• Mervin Susser: Causal Thinking (1973)

• Abe Lilienfeld: Foundations of Epidemiology (1976)

Lilienfeld

Susser

Morris

MacMahon

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55

Stellman Wynder Breslow

Cornfield Austin

1970’s epidemiologists

Doll

Upton

56

Classic epidemiology

• Provided the methods and concepts needed to test the tobacco and lung cancer association in populations

• Close link between theory and practice

• Lack of mathematical rigor?

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Title History of epidemiologic ideas

2

Lecture 10:Modern Population

Thinking

3

Unified Theory of Risks and Rates

Olli S. Miettinen

4

Farr’s rate and probability

•“In prognosis patients may be considered in two lights:

•in collective masses, whereby general results can be predicted with certainty;

•separately when the question becomes one of probability.”

5

“Estimability and estimation in case-referent studies” (1976)

“With reference to populations it is desired to learn about rates of occurrence of the illness in relation to the exposure (possibly in causal terms) (…); and for individuals the concern is with risks (for various time periods) of the development of the illness in relation to the exposure …”

6

Estimability, Fig 1

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7

Incidence Density

Inc density =cases per person times=

ID (exposed)= a’’ / C (t’’-t’)

C = Candidate pool of exposed

ID = incidence rate, risk per unit of time, instantaneous risk

8

Cumulative Incidence

Cum Incid (up to time j) = Σ (1 to j) IDi

Cum Incid (up to time Δtj) = Σ (Δt1 to Δtj) IDi x Δti

Divide (t’’-t’) in j short sub-period

CI = risk, probability

9

Morgenstern et al, 1980

EXERCISE QUESTIONS

10

5yr risk[35-39y] ?

Rate/year = 90:180,000 = 50/100,000/yr or 0.05/100/yr

0.05/100/yr x 5y =0.250 /100 over5 years

11

20yr risk[35-54y]?

Sum of 5-year CI across 4 age groups

Cum Incid (up to time Δtj) = Σ (Δt1 to Δtj) IDi x Δti

= 0.250 + 0.399+0.550+0.686

≈ 1.871 per 100

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Title History of epidemiologic ideas

2

Lecture 11:Modern Group Comparisons

3

Estimability and estimation in case-referent studies

“The concept that case-referent studies provide for the estimation of ‘relative risk’only if the illness is ‘rare’andthat the rates and risks themselves are inestimableare overly superficial and restrictive”O. Miettinen, AJE, 1976

4

Estimability, Fig 1

5

Incidence density ratioIn a case-referent study involving incident rather

than prevalent cases, • the cases (a exposed and b non-exposed) provide

for the estimation of the case ratio A/B (as a/b), and

• C/D is estimable from the reference series (as c/d, the ratio of the sample numbers of exposed and non-exposed referents from the total pool of candidates for illness).

• Consequently, the incidence density ratio [=Rate ratio] is estimable from such studies;

• and in particular no rarity-assumption is required for this” (Estimability p. 228)

6

Cumulative incidence ratio

If “The instantaneous risk ratio is estimable (through the exposure odds ratio of incident cases) without any rarity assumption in reference to either incidence density or prevalence” (p. 229),

then the cumulative incidence ratio [=Risk Ratio] is also estimable as “a weighted average of age-specific incidence density ratios … somewhat complicated”

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7

Theoretical developments from “Estimability …”• Greenland S, Thomas D. On the need for the rare

disease assumption in case control studies. Am J Epidemiol 1982;116:547-53

• Greenland S, Thomas D, Morgenstern H. The rare disease assumption revisited. A critique of “estimators of relative risk for case-control studies.”Am J Epidemiol 1986;124:869-76

Simpl(ified) explanation: Cohort of 20 subjects

1234567891011121314151617181920

X - - - - - -

X - - - - - - - - - -X - - - - -

X - - - - - - - -

X - - - - -

5 cases,

3 exposed

&

15 non-cases,

4 exposed

Time

9

Nested Case-Control Study

• Case-control study designed within an enumerated cohort study

• Design = cohort study• Analysis = Case-control study• Advantage: perform some

expensive measurements on a fraction of non-cases

10

Miettinen’s logic

Consider a nested case-control study:

odds of exposure in cases =

Case E+ /Case E- =3/2

Odds of exposure in controls=

?

11

Control sampling schemes

Schemes When in risk period?

traditional end concurrent throughout case-based beginning

1234567891011121314151617181920

X - - - - - -

X - - - - - - - - - -X - - - - -

X - - - - - - - -

X - - - - -

Time

CASE-BASE CONCURRENT TRADITIONAL

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13

Traditional sampling scheme

1234567891011121314151617181920

X - - - - - -

X - - - - - - - - - -X - - - - -

X - - - - - - - -

X - - - - -

5 cases,

3 exposed

&

5 controls,

1 exposed

xx

xx

xTime 14

Traditional sampling scheme

Cases Non-cases

Exposed 3 1

Unexposed 2 4

15

Traditional sampling scheme

• Odds of exposure in cases =

Case E+ /Case E- =3/2

• Odds of exposure in controls =

C - E+ /C- E- =1/4

• Odds ratio = (3/2)/(1/4) = 6

Case-base sampling scheme1234567891011121314151617181920

X - - - - - -

X - - - - - - - - - -X - - - - -

X - - - - - - - -

X - - - - -

5 cases,

3 exposed

&

20 in cohort,

7 exposed

Time

17

Case-base sampling scheme

Cases Cohort

Exposed 3 7

Unexposed 2 13

18

Case-base sampling scheme

• odds of exposure in cases

= Case E+ /Case E- =3/2

• Odds of exposure in controls

= Cohort E+ /Cohort E- =7/13

• Odds ratio = (3/2)/(7/13)= 2.8

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Concurrent sampling scheme

1234567891011121314151617181920

X - - - - - -

X - - - - - - - - - -X - - - - -

X - - - - - - - -

X - - - - -

5 cases,

3 exposed

&

? controls,

? exposed

2.5 4.8 5.3 6 6.3

Time

time units

20

Concurrent sampling scheme

1. Choose one or more controls among non-diseased subjects at the time of diagnosis of index case

2. Count each control as “person-times”

Concurrent sampling scheme

1234567891011121314151617181920

X - - - - - -

X - - - - - - - - - -X - - - - -

X - - - - - - - -

X - - - - -

[2.5] [4.8][5.3]

[6][6.3]

Time

time unitsAt time of case 1:

6 exposed subjects

11 unexposedsubjects

At time of case 2:

4 exposed subjects

8 unexposedsubjects

Etc.22

Concurrent sampling scheme

odds of exposure in cases =

Case E+ /Case E- =3/2

Odds of exposure in controls= PT E+ /PT E- =12/38

Odds ratio = (3/2)/(12/38)= 4.75

23

Concurrent sampling scheme: why PT?Controls should be representative of

• Person-years exposed = (6 x2.5) + (4x4.8) + (2x5.3) + (2x6) + (1x6.3) = 63.1

• Person-years unexposed = (11x2.5) + (8x4.8) + (8x5.3) + (7x6) + (6x6.3) = 188.1

24

Concurrent sampling scheme

Cases Person-times

Exposed 3 63.1

Unexposed 2 188.1

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Concurrent sampling scheme

Odds of exposure in cases =

Case E+ /Case E- =3/2

Odds of exposure in controls =

PT E+ /PT E- = [63.1/188.1]

Odds ratio = (3/2)/([63.1/188.1])= 4.5

26

Summary of Odds ratios from different control sampling schemes

Odds ratio

traditional 6.0 concurrent 4.5 case-base 2.8

27

Traditional odds ratio

(CaseE+/CaseE-) /(C -E+ /C-E-)

= Odds ratioNB: Cornfield’s 1951 deals with

traditional control sampling

28

Concurrent odds ratio

(CaseE+/CaseE-) /(PTE+/PTE-)

= (CaseE+/PTE+)/(CaseE-/PTE-)

= Rate Ratio

29

Case-base odds ratio

(CaseE+/CaseE-)/(CohE+ /CohE-)

=(CaseE+/CohE+)/(CaseE-/CohE-)

= Risk Ratio

30

Rarity assumption

•When outcome is rare (<10% over risk period), all OR ’s are identical

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Title History of epidemiologic ideas

2

Lecture 12:Modern Concepts

Refinement of the theory of confounding

• Formally distinguished from “effect modification” (Miettinen, 1974)

• Data-based definition of confounding makes it dependent on the type of parameterconsidered (RD, RR, OR) (Miettinen and Cook, 1981)

3 4

Refinement of the theory of confounding(2)

• Matching neutralizes confounding in cohort studies

• Matching introduces confounding in case-control studies if data are not analyzed as matched data

Confounding: essence and detection (Miettinen & Cook, 1981)

5

After 1980, word “confounder” is used in all textbooks

Hats Table 1 Table 2 All TablesColor Black Gray Black Gray Black Gray

Fit 9 17 3 1 12 18

Not Fit

1 3 17 9 18 12

% Fit 90 85 15 10 40 60

Rothman, Modern Epidemiology, 1986

“Mixing” definition: 1903-1986

• “A fallacy caused by the mixing of records”(Yule, 1903)

• “On the simplest level, confounding may be considered as a mixing of effects”

([Rothman, 1986], p.89)

6

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(Strong) conditions for confounding fallacyThird variable is:1. (statistically) related to exposure

in the base population (or controls)

2. a cause (or related to a cause) of the disease in unexposed

3. not an intermediate step in the causal pathway between exposure and disease

8

Fallacy-based definition is parameter-dependent

“It is commonplace to use the data-basedcriterion: control of the extraneous factors changes the estimate of effect”

• Or “the extraneous factor (must) be associated in the data, with both the exposure and the illness”

• “This makes the confounding dependent on the type of parameter considered”(RD, RR, OR)

Confounding: essence and detection (Miettinen & Cook, 1981)

9

• Confounding factors are defined a priori• In cohort studies, a confounder is a

predictor of disease among non-exposed (this “a priori property” is more relevant than its data-based manifestation)

• In case-control studies, “a priori”confounders are correlates of exposure in the joint source population of cases and controls

Confounding in cohorts vs. case-control studies

Confounding: essence and detection (Miettinen & Cook, 1981)10

Matching in cohort studies

Makes covariate uncorrelated with exposure

• “exposure-criterion for confounding will not be satisfied”

• Matching neutralizes confounding

Confounding: essence and detection (Miettinen & Cook, 1981)

11

Matching* in cohort studies

Uncor

relat

ed

Genetic factor

Smoking Lung cancer

Smoking effect*e.g., twins with discordant exposures 12

Matching in case-control studies

Mode of “differential selection according to the health outcome of members of the source population”

• introduces a link between covariate and outcome that is absent in the source population

• Matching introduces confounding if data are not analyzed as matched data.

Confounding: essence and detection (Miettinen & Cook, 1981)

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13

Matching* in case-control studies

Distorted down

by selection

Genetic factor

Smoking Lung cancerSmoking effect

*e.g., Controls matched to cases on NAT2 acetylation14

Historical example of strong confounder: Poppers and Kaposi’s Sarcoma

• Kaposi's sarcoma is a cancer that causes patches of abnormal tissue to grow under the skin, in the lining of the mouth, nose, and throat or in other organs.

• Before the AIDS epidemic, KS usually developed slowly. In AIDS patients, though, the disease moves quickly.

15

Poppers• Chemicals: Alkyl Nitrites, these include

Butyl Nitrite, Amyl Nitrite and Isobutyl Nitrite.

• Street names: Rush, Thrust, Liquid Gold, Ram, Rock Hard, TNT, Amyl and others.

•Taken by inhaling the vapor•Used as aphrodisiacs

16

Case-control Study of Kaposi’s Sarcoma and Poppers, 1982

Odds ratio = 8.5

17

HIV

Poppers Kaposi’s Sarcoma

Confounded effect?

?

1983: Discovery of viral cause of AIDS (now known as HIV)

18

Stratification by HIV

HIV adjusted Odds ratio = 3.9Morabia, 1995

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HHV-8

HIV Kaposi’s Sarcoma

Confounded effect?

?

1994: Discovery of Kaposi's sarcoma-associated herpesvirus (KSHV or HHV-8)

Potential outcome causal models

The problem in measuring y(Exposed)-y(Control)

is that we can never observe both y(Exposed) and y(Control) in the same individual since we cannot return back in time to give the other treatment (Neyman, 1923, Rubin, 1974, 690).

20

21

Potential outcomes and causal types

Greenland S, Robins JM (1986) Identifiability, exchangeability, and epidemiological confounding. Int J Epidemiol 15: 413-419

22

Imagine a centenarian woman who is vaccinated against the flu. She may get the flu anyway:• Because she does not respond to vaccine

(“doomed” to get the flu)• Vaccine caused the flu (attenuated virus)

(“causative”)May not get the flu because:• Vaccine worked (“preventive”)• Insensitive to flu (“immune”)

Causal types and their outcomes according to two potential outcomes if exposed.

Types n Description Vaccinated Not vaccinated

Doomed d Does not respond to vaccine

Flu Flu

Preventive p Responds to vaccine No Flu Flu

Causative c Vaccine induces Flu Flu No Flu

Immune i Naturally insensitive to flu

No Flu No Flu

23 24

“Identifiability”

To “identify” the effect of vaccine in this centenarian woman

• We would need to see how she would have reacted had she not been exposed to the vaccine

• This is impossible• Causal effects cannot be identified in

single individuals

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Effect identification for populations• We can select two groups of people

with similar characteristics, who, on average, have the same risk of getting the flu

• Probabilistic model • RCTs provide optimal conditions• What does this mean in terms of

causal types?

26

Group composition

Vaccinated, R(vaccinated) = (d + c)/N

Not vaccinated, R(Not vaccinated) = (d + p)/N

d = number “doomed”p = number “preventive”c = number “causative”i = number “immune”N = total number

27

Assume that both groups have identical composition (=exchangeable)

Risk difference = R(Vaccine -)-R(Vaccine +)= [(d + p) – (d + c)]/N = (p-c)/N

If vaccine contains only split viral particles, c=0 and

RD = p/N

28

If groups are not identical (=not exchangeable) => confounding

Risk difference = R(Vaccine -)-R(Vaccine +)= (d + p – d* – c)/N

If vaccine contains only split viral particles, p=0 and

RD = (d + p – d*)/N

Historical importance of potential outcome definition of confounding

• Reconnected theory of confounding with its historical roots: a problem of non-comparability between groups.

• Facilitates the understanding of the concept (commonsensical)

• Subsumes the fallacy definition of confounding

29

Correspondences between PO and techniques to deal with confounding

1)structural equations, 2)Directed acyclic graphs3)G estimation

30

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31

Pollution

Treatment

Bronchial reactivity

Sex

Asthma

Equivalent to Figure 5 in Greenland et al, 1999

Directed Acyclic Graph: Should you adjust for Bronchial Reactivity?

The short but winding history of confounding19TH C 1904-

19391926-1959

1970-1986

1986 -now

Comparability YuleGreenwoodHill

Fisher

Simpson Neyman

Kish MacMahonSusserMiettinenRothman

Rubin

Greenland and Robins

32

33

Word “interaction” in the modern epidemiology literature

0

2

4

6

8

10

12

14

16

18

1974 1975 1980 1990 2000 2006

Am J EpidemiolInt J Epidemiol

Rothman, 1974, Synergy and antagonism in cause-effect relationships 34

Landmark Epidemiologic Papers

• Rothman KJ. Synergy and antagonism in cause-effect relationships. Am J Epidemiol. 1974;99:385-8.

• Rothman KJ. Causes. Am J Epidemiol 1976;104:587-92.• Kupper LL, Hogan MD. Interaction in epidemiologic

studies. Am J Epidemiol. 1978;108:447-53.• Hammond EC, Selikoff IJ, Seidman H. Asbestos exposure,

cigarette smoking and death rates. Ann N Y Acad Sci 1979;330: 473-490

• Rothman KJ, Greenland S, Walker AM. Concepts of interaction. Am J Epidemiol 1980;112:467-70.

35

Interaction and component causesRothman’s pies (1976)

Component causes

36

Additional developments

• Parameter-dependence of interaction assessment

• Relative interaction magnitude• Case-only studies (reciprocity of interaction)• Subgroup analysis • Parallelism• …. But little consequences for public health

and medicine

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ExerciseEvolution of Epidemiologic Ideas

Misclassification Bias

Copeland KT, Checkoway H, McMichael AJ, Holbrook RH (1977) Bias due to misclassification in the estimation of

relative risk. Am J Epidemiol 105: 488-495

Copyright: Alfredo Morabia@2008

37

Question 1: simplifying assumptions

1) Misclassification of one variable only

2) No selection bias3) Dichotomous variables

38

Question 2a: Main determinants

1) Specificity 2) Magnitude of risk

Question 2b: Sensitivity=Specificity=0.5

RR=1.0

39

Question 2c: apparent RR if sensitivity=0.9 and specificity=0.7

RR=1.1

Question 2d: apparent RR if sensitivity=0.7 and specificity=0.9

RR=1.2

40

Question 2e: Most important of sensitivity or specificity?

Specificity

Question 2f: If specificity=0.9, apparent RR for risks of a)0.2 and 0.1? B) Of 0.05 and 0.025?

a)RR=1.4b)RR <1.2

41

Question 2g: Most important for rare or common diseases?

Rare

Question 3: 2x2 table compatible with the true relative risk of Figure 1.

Disease +

Disease -

Cohorts

Population A

10 90 100

Population B

5 95 100

42

True RR = 0.1/0.05=2.0

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Non Diff. Misclassification

•Similar validity of outcome measure for exposed and unexposed•True RR = 2.0•Sensitivity = 0.90•Specificity = 0.96•Apparent RR?

44

Sens= 0.90, Spec = 0.96

Group True N

Misclassification Obs N

A, D+ 10 10 x 0.90 + 90 x 0.04 12.6

B, D+, 5 5 x 0.90 + 95 x 0.04 8.3

A, D- Not needed

B, D- Not needed

RR 2.0 1.5

Question 3b: Checking RR=1.5 on figure 1

45 46

Modern Epidemiology Textbooks

• Groundbreaker– Miettinen: Theoretical Epidemiology (1985)

• Clarification (but not only).– Kleinbaum, Kupper, Morgenstern: Epidemiologic

Research (1982) – Rothman: Modern Epidemiology (1986)– Rothman & Greenland: Modern Epidemiology (1998)– Szklo and Nieto. Epidemiology, Beyond the Basic (2000).

• Specialized epidemiology– Many texts

47

Modern epidemiology

• Texts cover all main methods and conceptsBut• More abstract• More mathematical• Not always directly relevant for everyday

practice

48

K.J. Rothman

O. Miettinen

Modern epidemiologists

S. Greenland

M. Szklo

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49

‘Modern’ definition of epidemiology

“The ultimate goal of mostepidemiological research is the elaboration of causesthat can explain patterns of disease occurrence”

(Rothman and Greenland, 1998, p. 29)50

Criticisms of classic/modern epidemiology

• “Prisoner of the proximate”• Single level of organization• Preference for distant risk factors and

blindness to underlying causal pathways

• Point vs. lifecourse exposures• Complexity vs. parsimony

(reductionism)

51

Emerging attempts to move beyond modern epidemiology

• Dig deeper into pathways structure and mechanisms– Levels of organization (from cell to society)– Causal Pathways

• Refine inferential process– Causal models– Bayesian approaches

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Title History of epidemiologic ideas

2

Lecture 13:Evolution of Causal

Inference

Ωασ Ηιπποχρατεσ αν επιδεμιολογιστ?Οριγιν οφ επιδεμιολογιχ μετηοδσ ανδ χονχεπτσ

4

Hippocrates (BC460-BC377)

• Independent and ambulatory physician, born on the Island of Cos, between current Greece and Turkey.

5

Hippocrates (BC460-BC377)

• Hippocratic treatises, written by Hippocrates and others after him

Relate diseases to environmental or other natural causes

No religion or magic involved in etiology or treatment.

Propose empirical treatments such as surgery, diet, herbal remedies, etc.

6

Is Hippocrates the “father of epidemiology?”Major Greenwood, 1935, p.18:

“Although Hippocrates was before all else a clinician, he was also a student of preventive medicine and epidemiology, of the doctrine of disease as a mass phenomenon, the units not individuals but groups”

Also: MacMahon et al., 1970; Lilienfeld and Lilienfeld, 1980; Pan American Health Organization, 1988

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7

Hunting for Fathers

“The very popular hunting for ‘Fathers’ of every branch of medicine and every treatment is rather foolish; it is unfair not only to the mothers and ancestors but also to the obstetricians and midwives”

Henry Sigerist, 1951

8

Environment on health in Hippoc treatises

The traveling physician arriving to a foreign place has to take into account:

• 1) “the seasons of the year • 2) “the winds, the hot and the cold,

especially such as are common to all countries, and then such as are peculiar to each locality.”

• 3) “qualities of the waters”

“On Airs, Waters and Places”

9

Example: Epidemic of mumps

“The whole constitution of the season being thus inclined to the southerly, and with droughts early in the spring, from the preceding opposite and northerly state, ardent fevers occurred in a few instances, and these very mild, being rarely attended with hemorrhage, and never proving fatal.

Swellings appeared about the ears, in many on either side, and in the greatest number on both sides, being unaccompanied by fever so as not to confine the patient to bed”

~ The Book of Prognostics10

Causal Thinking

“The other races in Europe differ from one another, both as to stature and shape, owing to the changes of the seasons …

for vitiations of the semen occur in its coagulation more frequently during frequent changes of the seasons, than where they are alike and equable.”

Hippocrates, Airs Waters and Places

TMK, None of it valid today

11

• Cases are described one by one• Never in an aggregated form• No quantification of event

occurrence in populations or groups.

Thus:

Individual thinking

No population thinkingTherefore no group comparisons

12

Birth of epidemiology Group comparison and population thinking appear very late in human history (> 17th

century, England).So does epidemiology

Epistemological (philosophical) obstacle: infer causality on the basis of probabilistic, non deterministic statements

But in the 17th century, physics is already 2000 years old

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13

1739

David Hume (1711-1776)

“Rules by which to judge of causes and effects"

And HUME: inference is shifted from the individual to the group. • “It appears, then, that this idea of a necessary connection

among events arises from a number of similar instances, which occur, of the constant conjunction of these events; nor can that idea ever be suggested by anyone of these instances, surveyed in all possible lights and positions. But there is nothing in a number of instances, different from every single instance, which is supposed to be exactly similar; except only, that after a repetition of similar instances, the mind is carried by habit, upon the appearance of one event, to expect its usual attendant, and to believe, that it will exist. This connection, therefore, which we feel in the mind, this customary transition of the imagination from one object to its usual attendant, is the sentiment or impression, from which we form the idea of power or necessary connection. ”

An Enquiry … 1748

14

15

Ometeotl’s battle for the sun to rise

The Mexica thought that the sun could only shine when the strife among Ometeotl’s sons quieted, but in addition it had to battle the stars and moon every day as it rose in the sky – struggle of light against darkness. The Mexica expected the sun to one day inevitably lose.

16

Hume’s Rules 1 and 2

"The cause must be prior to the effect”

Temporality

17

Hume’s Rule 7

"When any object increases or diminishes with the increase or diminution of its cause, 'tis to be regarded as a compounded effect”

Dose-Response

18

Hume’s Rule 4

"Same cause always produces the same effect, and the same effect never arises but from the same cause"

Specificity

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Hume’s premises of the catalog of Rules

"Multiplicity of resembling instances constitutes the very essence of power or connexion“

Consistency

20

Hume’s Rules 5 and 6

"Where several different objects produce the same effect, it must be by means of some quality, which we discover to be common amongst them"

"Like effects imply like causes"Analogy

21

Hume’s rule 7"There must be a constant union betwixt

the cause and effect. 'Tis chiefly this quality, that constitutes the relation" (Rule 3)

“This constant conjunction sufficiently proves that the one part is the cause of the other"

Strength of association?22

Theory of group comparison?

John Stuart Mill(1806-1873)A System of Logic

23

Mill’s System of Logic= theory of comparison

• Method of agreement: “the only one circumstance in common”

Method of Difference: when“every circumstances in common save one”, the latter is the cause

Method of concomitant variation:∼correlation

24

Hume

Mill

Hammond

Relevance of Hume and Mill for epidemiology?

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Early systematic expression of epidemiologic causality - 1955

E. Cuyler Hammond (1912-1986)26

EC Hammond, Cause & Effect, 1955Principles of epidemiology: “ In epidemiologic research the problem is to

discover causative factors which increase the probability of human disease ”

Methods: “ prospective, cause to effect” and

“retrospective studies, effect to cause”designs

Population Thinking

Group comparison

27

EC Hammond, Cause & Effect, 1955 (2)Criteria to rule out “third factor” (= confounding)• Temporality• Specificity of cause or of effect• Strength of association• Experimental evidence• Biological plausibility• Consistency (time trends and ecologic studies)

28

Hume

Mill

Hammond

Hill

29

Hill ’s « criteria » (1965)• Strength of association• Temporality• Dose-response Gradient**• Specificity of effect or cause• Consistency **• Experimental evidence• Plausibility• Analogy **

**Not or different in Hammond, 1955

30

Heritage

Hume's rules sound reasonable to us

Hammond and Hill’s criteria would have sounded reasonable to Hume.

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Causal inference in epidemiology

Checking the logical coherence of observed associations.

Completely absent in Hippocrates’s work

Rule out contradictions between these associations and what we think we already know.

Principles expressed by Hume and Mill essentially unchanged for 250 years

32

Why Hippocrates could not be an epidemiologistEpidemiology appears very late in human history (2000 years after physics) because:

=> Genetic epistemology

1. Could not be present before there existed a theory of probability (around 1650)

2. Its basic concepts (risk/rates, cohort and case-control studies, confounding, interaction) are not intuitive. For many (most?) people, epidemiology is a mysterious discipline, understood by only a few

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Title History of epidemiologic ideas

2

Lecture 14:Genetic Epistemology

of Epidemiology

3

Ex# 7: Genetic epistemology

Jean Piaget, (1896-1980)

4

Piaget’s Genetic Epistemology

• The historical evolution of sciences follows a path resembling that of human intelligence

• Early disciplines (e.g., mechanics) are based on common sense concepts (e.g., trial & error)

• More recent disciplines (e.g., epidemiology) rely on concepts (e.g., speed) that are understood by older children or adults only

• Scientific disciplines themselves evolve away from common sense (e.g., quantum ph., modern vs. classic epidemiology)

5

1.a. How Do Scientific disciplines evolve?

• Common sense experiments, solve simple problems

• Formalized (w/ concepts, theories) experiments, solve more complex problems

• Phenomena addressed growth in complexity and the move away from common sense

• Understanding advanced methods and concepts requires more expertise

• Methods at a given time reflect the state of evolution of the discipline

6

1.b. How do physicists acquire new knowledge?

Physics•Very old science•Learning from action/reaction

(trial/error) is a very primitive mode of acquiring knowledge

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1.c. History of Physics

•Archimedes: common sense experiments

•Galileo, less common sense•Newton, predicts non-intuitive

phenomena•Einstein, Bohr, beyond common sense

8

2.a. How do epidemiologists acquire new knowledge?

• Action = group comparison, which requires population thinking.

• Very elaborated and abstract mode of knowledge acquisition

• Epidemiology is a young science

9

2.b. What kind of evolution do you see between Snow, Goldberger, Frost, MacMahon, and Miettinen?

• Pre-formal epidemiology (Snow): Common sense experiments, solve simple problems

• Early epidemiology (Goldberger, Frost): Formalized (w/ concepts, theories) experiments, solve more complex problems

• Classic epidemiology (MacMahon): Phenomena addressed growth in complexity and the move away from common sense

• Modern epidemiology (Miettinen): Understanding advanced methods and concepts requires more expertise

10

3.a. Evolution of Population Thinking:

• Preformal: intuitive risk & rates• Early :formal risk and rates,

person-times• Classic: prevalence and incidence• Modern: CI = Σ ID

11

3.b. Evolution of group comparison1. Pre-formal comparison (Louis)2. Early: Formal comparison

(Weinberg, Lane-Claypon), separation of study designs

3. Classic: Relation of case control study to cohort study

4. Modern: Theoretical unity of study designs

12

3.c. Evolution of confounding1. Pre-formal: Intuition – Non-

comparability2. Early: Fallacy (Yule, etc.), RCT3. Classic: Formal definitions, analytic and

fallacy-based4. Modern: a) Confounding in cohort vs

case-control studies; b) Definition based on potential outcomes.

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3.d. Evolution of interaction1. Preformal – Complex thinking2. Early: ?? (probably none)3. Classic: Departure from additive

or multiplicative models 4. Modern: Parallelism, definition

based on potential outcomes

14

Course Conclusions (1)1) Epidemiology is characterized by the

combination of population thinking and group comparisons aimed at discovering the determinants of human health.

2) The set of methods (study design) and concepts (measures of disease occurrence, confounding, interaction, bias) have evolved since the 17th century. This evolution is consistent with Piaget’s theory of genetic epistemology.

Course Conclusions (2)3) In this evolution, we can identify four phases

characterized by quantitative leaps in formalization and abstraction of methods and concepts. After a preformal phase, in which epidemiology was discovered intuitively by scientists, epidemiology has gone through an early, a classic and a modern period.

15

4) The fifth phase (Complex epidemiology? Causal epidemiology?) is emerging

16

Book