health insurance and consumption: evidence from …...health insurance and consumption: evidence...
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Health insurance and consumption: Evidence from China’s New Cooperative Medical
Scheme
Chong-En Bai Binzhen Wu*
Tsinghua University
Abstract
We exploit a quasi-natural experiment arising from the introduction of a health insurance
program in rural China to examine how the insurance coverage affects household
consumption. The results show that on average, the health insurance coverage increases
non-healthcare related consumption by more than 5 percent. This insurance effect exists
even for households with no out-of-pocket medical spending. In addition, the insurance
effect is stronger for poorer households and households with worse self-reported health
status. These results are consistent with the precautionary saving argument. Moreover, the
insurance effect varies by household experience with the program. Particularly, the effect is
significant only in villages where at least some households have actually obtained
reimbursement from the insurance program. Within these villages, the program stimulates
less consumption among the new participants than among households that have participated
in the program for more than one year.
Keywords: Precautionary savings; Health insurance; Consumption; New Cooperative
Medical Scheme; Chinese savings
JEL Classification Nos.: D12; D91; E21; I18
* Corresponding author. Email: [email protected]; Tel: 86-10-62772371. For their valuable
suggestions, we want to thank participants in the workshops for Saving and Investment in China at Tsinghua
University. Chong-En Bai acknowledges supports from National Planning Office of Philosophy and Social
Sciences Major Grant 10zd&007. Binzhen Wu acknowledges supports from the National Natural Science
Foundation of China (Project ID: 70903042).
1
1 Introduction
Over the past several years, considerable international attention has been directed at the
high level of savings by Chinese households. The household saving rate rose by about 10
percentage points from 1995 to 2008, accounting for 28% of the disposable income in 2008.
This increase is higher than that observed in most other countries including East Asian
nations (Prasad, 2009). A popular explanation for China’s high saving rate is that the
dissolution of the traditional social safety net has prompted higher precautionary savings
(Chamon and Prasad, 2010). Accordingly, the Chinese government has exerted extensive
efforts to improve China’s social safety net. The social insurance programs disbursed RMB
1.2 trillion in 2009, with an annual growth rate of 19.4% since 2000; the health insurance
program disbursed RMB 0.28 trillion in 2009, with an annual growth rate of 47% since
2000 (Chinese Statistical Yearbook, 2010).
Existing empirical literature provides mixed evidence on the importance of
precautionary savings. The results range from minimal to substantially important. Recent
studies have exploited the exogenous variations in insurance coverage caused by policy
changes. These studies include Gruber and Yelowitz (1999), Engen and Gruber (2001), and
Kantor and Fishback (1996) for the US; Atella, Rosati, and Rossi (2005) for Italy; Wagstaff
and Pradhan (2005) for Vietnam; and Chou, Liu, and Hammitt (2003) for Taiwan. A few
Chinese studies, including Ma, Zhang, and Gan (2010), Liu et al. (2010), and Brown,
Brauw, and Du (2010), use the launch of public health insurance programs in China to
investigate the size of precautionary savings in the country. However, they deliver different
conclusions because of the differences in methodology and dataset.
2
This paper exploits one of the most important policy changes implemented in rural
areas: the introduction of the New Cooperative Medical Scheme (NCMS) in July 2003.
This public health insurance program was introduced sequentially in different counties, and
household participation is voluntary. To estimate the insurance effect that excludes the
effects of contemporary policy changes, we focus on the double-difference comparison of
the insured and non-participants in the villages where the program has been launched. The
difference-in-difference (DID) framework helps eliminate all time-invariant selection
biases. Selection bias on observables is further reduced by enabling the temporal change in
consumption to vary with observable characteristics such as income and health status, or by
applying the DID matching method. Selection on unobservables is examined using the
counterfactual test that applies the estimation model to the time periods at which
households have not enrolled in the program.
The data we use combine the longitudinal Rural Fixed-Point Survey (RFPS) from 2003
to 2006 and a household survey that we conducted on the NCMS for a subsample of the
2006 round of the RFPS. The results indicate that household consumption other than health
expenditures has increased by about 5.6 percent or 149 yuan (18.64 US dollars at the
exchange rate in June 2006) because of the health insurance coverage. The magnitude of
the increase is much larger than the average premium of the insurance, which was typically
30 yuan in 2003 and 50 yuan in 2006. The program stimulates consumption more
effectively than do the cash transfers from the government because the average propensity
of rural households to consume is only about 0.44. The estimate is robust to different
specifications and consistent with the macro time trend of rural household saving rate: the
NCMS has been rapidly rolled out since 2005, and rural household saving rate has started
to decline beginning that same year (Prasad, 2009).
3
We also find that the insurance effect remains significant for households that do not
spend on health care in a given year. This result cannot be explained by the ―crowd-in‖
concept, which emphasizes that the insurance coverage reduces out-of-pocket health
payments, thereby leaving insured households with more income for non-healthcare
expenditure. Even the income effect of government subsidy cannot explain the magnitude
of the increase in consumption. Moreover, the positive effect of insurance on consumption
is much stronger for poorer households and households with worse self-reported health
status. Given that these households tend to have a higher risk of incurring large health
expenditure relative to income, these results are consistent with the explanation that points
to precautionary savings. In addition, the positive insurance effect increases when the
NCMS provides more generous compensation for household health expenditure at
county-level hospitals, which is also consistent with the precautionary saving justification.
Finally, the insurance effect varies depending on household experience with the
program. Particularly, the level of trust accorded to the program can be crucial to the
stimulation of consumption. The insurance effect on consumption is significant only in the
villages where at least some households have obtained reimbursement from the program,
through which trust in the program is established. Moreover, in such villages, the increase
in consumption is much larger among the experienced members who have participated in
the program for more than one year than that among the new members. By contrast, in the
villages where no household has received any reimbursement, neither the average insurance
effect nor the difference between the experienced and new participants is significant.
To the best of our knowledge, this paper is one of few studies that exploit this policy
change in systemically assessing the effect of the health insurance program on consumption
in rural China. In addition, we have examined the importance of the precautionary saving
4
explanation and heterogeneity of the insurance effect, which are mostly unaddressed in
related Chinese studies. The findings on the roles of trust and experience warrant more
attention in terms of research and policymaking, particularly for public insurance programs
in developing countries where transparency and trust are often lacking.
The rest of the paper is organized as follows. Section 2 introduces the background of
the NCMS and presents the literature review. Section 3 introduces the data and provides
descriptive statistics. Section 4 discusses our econometric specifications. Section 5 shows
the results for the baseline model, and Section 6 presents the robustness tests. Section 7
concludes.
2 Background
2.1 New Cooperative Medical Scheme
Since the dissolution of the rural Cooperative Medical System in the early 1980s,
illness has emerged as a leading cause of poverty in rural China, and the high cost of health
care has deterred households from obtaining necessary health treatment (You and
Kobayashi, 2009). In response to these problems, the Chinese government initiated a pilot
program of the New Cooperative Medical Scheme (NCMS) in 2003. The pilot program was
launched in 310 rural counties of China’s more than 2800 rural counties in July 2003; it was
expanded to 617 counties in 2005 and 1451 counties in 2006. By June 2007 when we
collected the data for this study, the program had expanded to over 84.9% of all the rural
counties and had covered 82.8% of all the rural residents.
Several key features characterize the NCMS: 1) the program targets rural residents; 2)
participation is voluntary but should be on a household basis;1 3) participating households
1
The requirement of participation on household basis is imposed over 97% of the counties in our sample.
5
are required to pay a flat-rate premium, but the insurance is heavily subsidized by the
governments; 4) the program reimburses participants mainly for in-patient expenses; 5) the
program is operated at the county level rather than at the township or village level.
The voluntary nature of the participation raises concerns on the adverse selection issue
that can threaten the financial sustainability of the NCMS. However, the participation rates
in pilot villages are generally very high, with an average of 86% from 2003 to 2006 in our
sample. An important reason for the high participation rate is the generous government
subsidies. The premium for each member in a subscribing household in 2003 was typically
10 yuan while the government paid 20 yuan a year. Since 2006, the government subsidy has
increased to 40 yuan while household contribution has remained the same.2
Along with the NCMS, the government also implemented some supporting policies,
such as improving the quality and delivery of health care services and strengthening
pharmaceutical governance. At the same time, some studies show that the average
expenditure per visit increased after the introduction of the NCMS program (Yao and
Kobayashi, 2009; Mao, 2005). These changes also affected households that chose not to
participate in the NCMS. Finally, the government set up a parallel program, i.e., the
medical assistance scheme, to help the poverty-stricken population.3
Although the central government has issued broad guidelines for how the NCMS
should be designed and implemented, provincial and county governments have retained
considerable discretion over the details of the program, including the placement of the pilot
Some studies suggest that local governments have made considerable efforts to attain high participation rates,
including mandating households to participate. However, our survey shows that less than 1% of households
report compulsory enrollment in 2007. 2
The poor and some other groups are exempted from contributions. In 2008, the government subsidies
increased to 80 yuan per person a year. Household contribution was raised to 20 yuan per person a year. 3 In counties that have introduced the NCMS, this program helps poor families pay the premium of the
NCMS and reimburses the health expenditure below the deductible or above the ceiling. For counties that
have not launched the NCMS, this serves as a subsidized insurance for the poorest families.
6
program and insurance package. This kind of local authority has led to considerable
heterogeneity in the benefit, coverage, and management packages across counties. Table
A.1 shows the main parameters of the insurance packages for the 54 counties, about which
we have detailed information. We first observe that the insurance typically does not offer
generous coverage. In particular, deductibles are high, ceilings are low, coinsurance rates
are high, and outpatient expenditure is usually not fully covered. At the township clinics,
for example, the deductible was about 125 yuan on average, the ceiling was 14838 yuan,
and the coinsurance rate was 49.1% in 2006. However, the insurance program can still
substantially reduce the out-of-pocket health care payments of the insured. For households
whose health expenditure is more than 14838 yuan, they can save 7489 yuan at most.
Furthermore, the insurance plans have become more generous over time for all levels of
health care centers, particularly for the township clinics. Moreover, the insurance covers
most kinds of disease, including childbirth, as long as the health expenditure is related to
in-patient service.
Table A.1 also shows that although all counties cover in-patient care, the coinsurance
rate varies substantially, ranging from 20% to 75%. Moreover, most counties offer better
packages to the lower level health care centers. This feature has magnified over time. By
contrast, the difference in the coinsurance rate for different amounts of health expenditure
is small and declines over time. Finally, the procedure for claiming reimbursement has
become simpler over time. In 2003, about 86% of counties asked households to pay the
providers upfront for all their costs and go to insurance organizations to claim the
reimbursement. The rate declined to 52% in 2006. However, the number indicates that in
7
most counties, the households bear the risk if the government does not pay.4
2.2 Related literature
After the seminal theoretical papers by Zeldes (1989), Deaton (1991), and Carroll
(1992), many studies have used micro data to examine the strength of the precautionary
saving motive. Simulations or structural estimations mostly find that precautionary savings
can explain a sizeable portion—as much as 50%—of US savings (Gourinchas and Parker,
2002; Hubbard, Skinner, and Zeldes, 1994; etc.). By contrast, other empirical studies have
drawn mixed conclusions: Dynan (1993), Guiso et al. (1992), and Starr-McCluer (1996)
find little or no precautionary saving, whereas Banks et al. (2001) (for the UK), Carroll and
Samwick (1998) (for the US), and Fuchs-SchÜndeln and SchÜndeln (2005) (for Germany)
find economically important precautionary motives.
Early studies typically examine the issue by relating wealth accumulation to some
measures of income risks that households encounter. The mixed results stem partly from
the variation in the measure of income uncertainty (Engen and Gruber, 2001). Various
measures have been tested, including the variability of income (Carroll and Samwick, 1998;
etc.), variability of consumption (Dynan, 1993), expectations of future job loss (Guiso et al.,
1992; Lusardi, 1998), actual job loss (Carroll, Dynan, and Krane, 2003), a proxy based on
job characteristics or education (Skinner, 1988), and household insurance coverage
(Starr-McCluer, 1996; Guariglia and Rossi, 2004). In the Chinese context, literature along
this line generally finds strong evidence for the importance of precautionary savings (Meng,
2003; Jalan and Ravallion, 2001; Kraay, 2000). However, these studies all suffer from the
potential bias caused by the likely correlation between income risks and underlying
4
In addition, around 48% of the counties provided insurance for migrants, although the reimbursement is
usually much less generous for health care expenditure in hospitals outside the county.
8
preferences for savings.
Recent studies have exploited the exogenous variations in insurance coverage caused
by policy changes. These studies include Engen and Gruber (2001), Gruber and Yelowitz
(1999), and Kantor and Fishback (1996) for the US; Atella and Rosati (2005) for Italy; and
Wagstaff and Pradhan (2005) for Vietnam. Although these studies focus on different
programs, including unemployment insurance, worker compensation, and health insurance,
most studies confirm that social insurance programs reduce asset accumulation by reducing
income or expenditure risk.
Related research in developing countries is still in its early stages. Wagstaff and
Pradhan (2005) study a case in Vietnam and find that the introduction of a health insurance
program increased nonmedical household consumption. Chou, Liu, and Hammitt (2003)
find that the universalization of health insurance in Taiwan reduced the household saving
rate by about 2.5 percentage points.
For mainland China, Ma, Zang, and Gan (2010) examine the effect of the NCMS
specifically on food consumption among rural households. However, food consumption can
be much less elastic than other kinds of consumptions. Liu et al. (2010) investigate the
effect of introducing the public health insurance program on the consumption of urban
households. Nevertheless, rural residents respond differently to income uncertainty
compared with urban residents (Zhang and Pei, 2007). Both studies apply the
Difference-in-Difference method and find a significant positive insurance effect on
consumption. The paper that is most similar to our study is Brown, Brauw, and Du (2010).
They apply the matching propensity score method to household survey data on two
provinces, and find that the NCMS reduces food consumption but does not significantly
affect non-healthcare and total consumption. However, their study does not thoroughly
9
address the selection problem.
These studies do not examine whether the increase in consumption results from a
reduction in precautionary savings. In addition, the literature on developed countries
indicates that the strength of precautionary saving can vary among different income groups
(Carroll, Dynan, and Krane, 2003), but the analysis of the heterogonous effects are lacking
in these Chinese studies.
3 Data and descriptive statistics
Our data come from the longitudinal Rural Fixed-Point Survey (RFPS) from 2003 to
2006, and a supplementary household survey that aims to evaluate the NCMS. The sample
in the RFPS is selected on the basis of a multi-stage stratified random sampling strategy. The
2006 round includes 19,488 households in 313 villages drawn from 26 Chinese provinces.
The survey uses the weekly book accounting information maintained by the households as
the primary information source. It provides detailed information on income and
expenditure.5 The supplementary survey was conducted by Tsinghua University in May
2007. It surveyed a subsample of the 2006 round of RFPS and covered 23 provinces, 143
villages, and 5728 households. It collected detailed information about the time at which a
household enrolled in the NCMS, and retrospective information on each member’s health
care utilization and expenditure in each year from 2003 to 2006. The survey oversampled
households with economically meaningful health care expenditure.6
5
The identification code for tracking individuals and households is ridden with mistakes. We use conservative
rules based on individual age, gender, and education to match individuals and households over years. If more
than half of the household members cannot be matched across two years, we exclude the household from our
sample. Altogether, we exclude around 8% of the households in our sample because of the inconsistency in the
identification code. 6
More specifically, the survey first ranks all the households in the 2006 round of the RFPS on the basis of their
average health care expenditure from 2003 to 2006. Then, it randomly draws 80% of the observations in the top
one-third of the sample, and 50% of the observations in the remaining two-thirds of the sample.
10
Table 1 shows the enrollment rate of the villages and households from 2003 to 2006. The
enrollment of our sample villages spread over different years: 16.4% of the villages
enrolled in the program in 2003 and the rate increased to 77.1% in 2006. Similarly, the
enrollment rate of households gradually increased from 9.5% in 2003 to 72.3% in 2006.
These figures are consistent with national data (Chinese Statistical Yearbook 2010). In the
villages that have launched the NCMS (referred to as NCMS-villages hereafter), the
participation rate of households increased from 63.7% in 2003 to 94.6% in 2006. Moreover,
most households participated in the year of program launch; the first-year participation rate
was 63.7% in 2003 and 96.2% in 2006. These numbers also indicate that quite a few
households (14.4% on average) chose not to participate in the program in the first year the
program was introduced. Over the four years from 2003 to 2006, about 12.8% of
households in the NCMS-villages did not participate.
To relate consumption to household enrollment status in the NCMS, we exclude some
outliers, such as households that terminated membership in the NCMS or participated in
some cooperative insurance programs from 1993 to 2002. Also excluded are households
that purchased commercial insurance or did not participate in the NCMS but enrolled in
some government insurance programs in 2007. 7
Finally, given that the NCMS was first
piloted in July 2003, we exclude all the observations in 2003 for villages that launched the
program in 2003 (but keep the observations in other years). In so doing, we avoid the
potential complication that arises from the effect of the NCMS actually beginning in the
middle of that year. 8
As a result, year 2003 is regarded as the year during which no counties
7
Only 107 households ever terminated membership in the program; 4.6% of the households enrolled in some
cooperative insurance programs from 1993 to 2002, and most of them participated after 1997. About 6% of
the households have some commercial insurance, and less than 1% enrolled in some government insurance
programs but not in the NCMS in 2007. 8
We include these observations as a robust test, and as expected, find a slightly smaller insurance effect of the
11
introduced the NCMS. The final sample includes 520 villages and 17,715 households over
the 4-year sample period.
Table 2 shows the descriptive statistics for three groups: the insured households and two
kinds of uninsured households: the non-participants who live in the NCMS-villages but
chose not to participate in the program, and the non-exposed households located in the
non-NCMS villages. Because more villages and households join the program over time, the
household compositions of these three groups vary over time. Therefore, we use the 2003
values of the variables that may change over time as a proxy for the underlying household
characteristics at the time before the implementation of the program.
The table illustrates that compared with the non-participants, the households that chose
to participate generally had higher incomes, total consumption, and non-healthcare
consumption in 2003. The evidence for adverse selection is mixed. There are five
categories of self-reported health status: excellent, good, fair, bad, and no working capacity,
the last two of which are collectively called ―poor.‖ The participants had more members
reporting fair or worse health status and spent more on in-patient health care than did the
non-participants in 2003. However, the participants had fewer members with poor health
status (including ―bad‖ and ―no working capacity‖) and had less total health-care
expenditure in 2003. Column 3 of Table A.2 shows that even the positive evidence for the
adverse selection disappears when we focus on within-village comparison by controlling
for the village fixed effect. For the demographics, the heads of the participating household
are slightly older, more educated, and less likely to be single or be a non-agricultural
worker. These households are also more likely to have communist members, and less likely
to be a minority or a household in poverty (―Wubao‖). These differences are confirmed by
NCMS on consumption.
12
the regression results in Table A.2 in the Appendix.9
Additionally, the table indicates that although the non-participants differ from the
insured in observable characteristics, they are more similar to the insured than to the
non-exposed households in terms of income and consumption. This observation is not
surprising because households located in the same village are more likely to be similar to
one another than to those located in a different village. The comparison of village
characteristics indicates that the placement of the pilot programs may not be random: the
NCMS-villages are richer and have fewer clinics but more children receiving vaccinations
than the non-NCMS villages. They have fewer migrants and more laborers, and the
residents have higher educational levels. They are also less likely to be in mountainous,
western, or central areas. Column 4 of Table A.2 confirms that these differences are
significant.
4 Baseline empirical model
Our empirical analyses exploit the quasi-natural experiment arising from the NCMS to
examine the effect of the insurance coverage on household non-healthcare consumption.
We exclude health expenditure because we want to focus on precautionary savings, and
health expenditure is affected by the insurance through other channels. To simplify
exposition, consumption refers to all consumption expenses net of health expenditures
throughout the paper, unless otherwise specified.
We begin by applying the Difference-in-Difference (DID) framework to the four-year
panel. More specifically, the effects of the NCMS are identified by differences in dynamic
changes in consumption between the insured and uninsured households in the time periods
9
Table 2 also indicates that the subscribing households have, on average, fewer members older than 65 or
younger than 10, more migrants, and are less likely to have a female head. However, the regression in Table
A.2 shows that these differences are not significant or that the differences take the opposite direction.
13
before and after the launch of the NCMS in the villages. The framework can eliminate all
time-invariant selection biases. This is crucial to our context because participation in the
program is voluntary, implying that the households that chose not to participate can differ
from the participants in both observable and unobservable characteristics. Moreover,
program placement over villages can be non-random. As a result, insured households and
uninsured households may have consumed differently in the absence of the NCMS. The
double-difference method can still deliver unbiased and consistent estimates as long as the
temporal changes in household consumption would have been parallel were there no
NCMS.
As mentioned previously, there are two types of uninsured households in each period.
One is composed of the non-participants in the NCMS-villages and the other comprises
the non-exposed households in the non-NCMS villages. To examine the precautionary
saving motive, we focus on the double difference between the insured and non-participants
in the NCMS-villages. This focus is driven by two reasons. The first is that other changes
occurred along with the introduction of the NCMS. In particular, the governments
implemented supporting policies to improve the quality and delivery of health care services.
In addition, anecdotal evidence indicates that the price of health care services increased
after the introduction of the NCMS (Mao, 2005). For the precautionary saving explanation,
we need to identify the insurance effect of the program that occurs only through the
insurance coverage and excludes the effects of the aforementioned contemporary policies
or changes. This insurance effect can be estimated by the double difference between the
insured and non-participants within the NCMS-counties because both groups were affected
14
by these changes.10
By contrast, the double difference between the insured and
non-exposed determines the gross effect of the NCMS on the insured, which includes both
the insurance effect of the NCMS and effects of other associated changes.11
The second reason is related to the identification assumption for the DID model: the
consumption dynamics of the insured and that of the control group should be parallel even
in the absence of the NCMS. We argue that the assumption is more problematic for the
comparison between the insured and non-exposed than that between the insured and
non-participants. First, households in the same village are more likely to be similar to one
another than to households located in a different village. This argument is partly justified by
Tables 2 and A.2, where we see significant differences between the NCMS-villages and
non-NCMS villages. The argument is further confirmed in the matching procedure, in
which balancing the observable village and household characteristics between the insured
and non-exposed groups is much more difficult than balancing the characteristics between
the insured and non-participant groups.12
Second, consumption can grow more similarly
among people living in the same geographic areas than among those living in different
areas, particularly when the different areas have various incomes, and hence, consumption.
To implement the DID framework for the panel data, the baseline model applies the
fixed-effect regression that controls for both household and year fixed effects. All the
10
The effects of these policies can differ for the insured and non-participants. Thus, the estimate of the
insurance effect has incorporated this difference. 11 Wagstaff et al. (2009) focus on the double difference between the insured and non-exposed to evaluate
the effect of the NCMS on health care expenditure. Their choice is reasonable when the focus is a
program evaluation, so that the gross effect may be more important. Furthermore, when the outcome is
health care expenditure, avoiding the selection bias caused by the voluntary participation is crucial
because the insured and non-participants have different expectations on future health expenditure.
However, they also point out that the NCMS-villages and non-NCMS villages are different, and they
actually focus on the comparison between the insured and non-participants in the early versions of their
paper. 12 In terms of reducing bias, matching the insured with non-participants in the NCMS-villages is
considerably more successful than matching the insured with the non-exposed.
15
time-invariant effects of household characteristics are controlled by the household fixed
effects, and the yearly time trend of consumption that is common to all households is
controlled by the year fixed effects. Refinements such as matching DID and tests of the
identification assumptions are discussed in Section 6. More specifically, the regression
model for the double-difference comparison between the insured and non-participants is as
follows:
)1(,_ ijtijtiittitijt XDTinsuredFamilyY
where Yijt represents the log value of household non-healthcare consumption for household
i located in village j in period t. Family_insuredit is the binary variable that indicates
whether household i subscribes to the NCMS in year t. Tt includes three year dummies. Di
includes all the household indicators. Xijt includes the observable household and village
variables that vary over time and may affect consumption and participation decision. Such
variables include log(household income), household size, share of members over age 65,
share of members under age 10, whether there are communist party members, whether
households are officially categorized as poor (―Wubao‖ households), and log(average
income per person in the village). 13
In Eq. (1), γ measures the effect of the insurance coverage on consumption. The
precautionary saving explanation indicates that >0. Given that we control for log(income),
also represents the effect of the NCMS on the average propensity to consume
non-healthcare expenditure because log(average propensity to consume) is equal to the
difference between log(consumption) and log(income).
A primary concern in this model is that the identification assumption may not hold even
13
Some of the family characteristics do not vary much over time. However, the results are highly robust to
whether these variables are included.
16
after conditioning on the observable characteristics. The most likely situation is related to
the adverse selection problem: households that expect substantial health expenditure in the
next year are more likely to participate; hence, their consumption dynamics would have
differed from that of households that have no such expectation were there no NCMS. By
excluding health expenditures from consumption, we partially avoid the complication
arising from the possibility that participants would spend more on health care than the
non-participants would in the absence of the program. This selection bias tends to
underestimate the precautionary saving motive because families who expect to incur huge
health expenditure are more likely to be frugal in other consumption.
To address the potential selection bias, we first use the self-reported health status to
proxy the unobservable expectation on future health expenditure. Then, by adding the
interaction term between year and measures of household health status, we allow
households with different health statuses to have varied time trends in consumption. Health
status can be affected by the insurance coverage. For the estimations in our sample,
therefore, we use the self-reported health status in 2003 at which time none of the villages
introduced the program. Similarly, we add the interaction between year and income to
allow the linear time trends in consumption to vary with the income. This approach address
the concern over the phenomenon that the insured are generally richer than the
non-participants, and that different income groups may have varied income growth rates.
5 Results for the baseline model
5.1 Average treatment effect on the treated groups
Table 3 reports the results for the baseline model that focuses on the double-difference
comparison between the insured and non-participants. The first column assumes that all
17
households have the same counterfactuals of the time trends in consumption. It shows that
the insurance coverage has stimulated non-health care consumption by 5.5 percent for the
insured, an effect that is not negligible. Given that the average non-healthcare consumption
per person for the participating households was about 2660.7 yuan in 2003, an increase of
5.5 percent implies an increase of 146.3 yuan, which is much higher than the total premium
of the insurance that was typically 30 yuan in 2003 and 50 yuan in 2006. Moreover, the
program more effectively stimulates consumption than do the cash transfers from the
government because the average propensity of rural households to consume is only about
0.437.
The result is quite robust when we relax the assumption by allowing the linear time
trend in consumption to vary with the observable characteristics. In particular, column 2
controls for the interaction term between year and household income and that between year
and village average income.14
Column 3 additionally controls for the interaction term
between year and initial household health status, which is measured by the share of
members reporting fair or worse health status and share of members reporting poor health
status in 2003. 15
Both columns show an insurance effect similar to that in the first column,
including both the magnitude and significance level. Particularly, column 3 shows that after
being covered by the NCMS, the consumption of the insured households increased by 5.6
percent or 149 yuan.
The results are also similar when we allow the difference in trends to vary year by year
through the control of the interaction terms between the year dummies and household
income, village average income, and household health status in 2003 (column 4). Aside
14
When we use income in 2003 instead of income in the current year, the results are almost unchanged. 15
Results are similar when we additionally control for the share of members with good health statuses, or
instead control the mean value of the health status in the household. Finally, we also consider the health status
in the current year instead of the health status in 2003 to increase the number of observations.
18
from income and health status, other differences are observed between the insured and
non-participants. As in the propensity score matching method, we can summarize the
differences using a one-dimensional variable, a household’s ―propensity score‖ of joining
the program. The estimation of the propensity score is discussed in detail in Section 6. Here,
we control for the interaction between year and propensity score to allow the trend in
consumption to vary with the propensity score. The estimate is shown in column 5, which
shows a slightly stronger insurance effect on consumption. Controlling for the interaction
between the year dummies and propensity score yields a similar estimate (column 6). 16
Given that an increasing number of counties and households enroll in the program, we
have an unbalanced panel in Table 3. Table A.3 reports the estimates of the balanced panel,
in which we have much fewer observations. The insurance effect is stronger. Particularly,
the insurance effect on non-healthcare consumption is, on average, 9.6 percent after we
allow the trend to vary with the income and health status in 2003 (column 3). The
difference in the magnitude of the insurance effect between the balance and unbalanced
panel can be attributed to the fact that the balanced panel has a higher proportion of
experienced NCMS members who have participated in the program for more than one year,
and at the same time, the insurance effect on consumption for the experienced members is
stronger than that for the new members (shown later in the paper).
In summary, the estimates of the positive insurance effects on non-healthcare
consumption are robust to the specifications that enable the linear time trends in
consumption to vary with the observable variables that are the important determinants of
participation decisions. The results also withstand the other robustness tests shown in
16
The consistency of the estimate in the last two columns requires an additional assumption: the conditional
expectation of the outcome given that the propensity score is linear. In addition, the standard errors here are
not adjusted for the first-stage estimation of the propensity score.
19
Section 6. These tests increase our confidence that the baseline model provides a reliable
estimate of the insurance effect. Therefore, we first examine the economic explanations for
the estimates and heterogeneity of the effects, and discuss robustness thereafter.
5.2 Precautionary saving explanation
This section examines whether the increase in consumption net of health expenditures
represents the reduction in precautionary savings. All of the estimates in this section control
for the household and year fixed effects, time-variant household and village characteristics,
as well as the interaction term between year and household income, between year and
average income in the village, and between year and household health status in 2003.
Aside from the precautionary saving perspective, a potential explanation for the
positive effect of the NCMS on non-healthcare consumption is that the insurance reduces
out-of-pocket health payments, thereby leaving the insured households with more income
for other consumption expenditure. This is a simple ex post crowd-in effect, a concept that
is applicable only to the households that incurred health expenditure in the current year.
However, column 1 of Table 4 shows that the insurance effect remains significant for
households with no health expenditure in the current year. The magnitude is even stronger
than that when we pool all households together, although the significance level declines.
Therefore, the ex post crowd-in story cannot explain the positive insurance effect.17
If the ex post crowd-in effect is the only explanation, then the higher non-healthcare
consumption by the participants is caused only by their lower out-of-pocket healthcare
expenditure, which implies that participation in the NCMS may have little effect on total
17
We have also estimated the effect of the NCMS on the out-of-pocket health expenditure. The result shows
no significant effect, which contradicts the crowd-in perspective. However, we find that the insurance
coverage stimulates more visits to health care facilities among the insured households. These findings are
consistent with the results of the studies that evaluate the NCMS (Wagsaff et al., 2009; Lei and Lin, 2009; and
Mao, 2005).
20
consumption. However, the second column of Table 4 shows that the insurance coverage
stimulates total consumption by 6 percent, which is even higher than the effect of the
NCMS on non-health care consumption.
Another potential explanation is related to the income effect of government subsidies.
Participants in the NCMS receive a government subsidy of 20 or 40 yuan for the premium
payment. However, the effect of an income increase of 40 yuan on consumption is only
about 17 yuan, implied by an estimated propensity to consume of 0.437. Even if households
treat the subsidy as being permanent and the propensity to consume is around 1, the
increase in consumption is no more than 40 yuan. The amount is much smaller than 149
yuan, our estimates for the insurance effect of the NCMS. This result strongly suggests that
the income effect of subsidy is not the primary explanation.
The precautionary saving explanation indicates that the insurance effect will strengthen
when the insurance program becomes more generous, reducing the expenditure risk faced
by the consumer. Columns 3 and 4 of Table 4 test this hypothesis by exploiting the detailed
information on the NCMS program for 54 counties. The result shows that households
respond to the generosity of the insurance scheme for the health expenditure at county
facilities: the lower the deductible or the coinsurance rate, the more consumption the
insurance program can stimulate. However, the generosity of the insurance scheme for the
health expenditure at the village clinics does not exhibit such significant effects. This
insignificant effect is somewhat reasonable given that most households seek health care
services in county hospitals when they encounter serious health problems that most
strongly demand the insurance.
Finally, the precautionary saving explanation implies that the insurance effect is
stronger for those who have a higher risk of incurring health care costs that are expensive
21
relative to income. Table 5 examines how the insurance effect varies with uncertainty about
future health expenditure. We first look at the difference between income groups. Poor
households are more likely to be unable to afford large health care expenditures than rich
households; thus, their precautionary saving motive would have been stronger without the
insurance program. As a result, the effect of the insurance on consumption should be
stronger among the poor than among the rich. Column 1 of Table 5 confirms this conjecture:
the positive effect of the NCMS on consumption decreases with income. The second and
third columns run the regression separately for the bottom half (the poor) and top half (the
rich) of the income distribution, and the insurance effect is significant only for the poor.
The second part of Table 5 focuses on the risk related to household health status. On
the basis of the self-reported health status of each member in a household, we construct two
measures of household health status. Columns 4 to 6 consider the first measure of the
health risk: whether at least one household member report fair or worse health status in
2003. In our sample, about 89% of individuals report good or excellent health. Therefore,
reporting fair or worse health indicates serious health problems that may demand
substantial health expenditure in the future. The results confirm that after being covered by
the insurance, households that have members with fair or worse health status consume
much more than do households with no such members. The second measure first assigns an
ordinal value to each category of the self-reported health status: 5 for ―excellent,‖ 4 for
―good,‖ 3 for ―fair,‖ 2 for ―bad,‖ and 1 for ―no working capacity.‖ It then calculates the
average value of the health status of all the members in a household in 2003. Columns 7 to
9 yield similar results: the positive insurance effect on consumption decreases as the
household health status improves, and the effect is significant only for the bottom half of
the household health distribution (designated as ―poor health‖).
22
5.3 Dynamics of the insurance effect and trust
After the dissolution of the old CMS in the 1980s, most households in rural areas were
not covered by any health insurance for a long period. Moreover, the NCMS differs from
the CMS in many aspects. As a result, households need time to understand and establish
trust in the new program.
Column 1 of Table 6 controls for a dummy for the experienced participants who have
participated for more than a year. This enables the insurance effect on the experienced
members to be different from the effect on the new members who have participated in the
NCMS for less than a year. The result shows that the insurance effect on consumption is
significant among the new members (about 4.5 percent). Moreover, the effect among the
experienced participants is much higher, and the difference is about 6.7 percentage points,
which indicates that compared with the consumption of the non-participants, that of the
experienced members increases by 11.2 percent because of the insurance coverage.18
The dynamics of the insurance effect can result from the fact that the experienced
members learned more about the benefits of the insurance program. However, an
alternative explanation is that the NCMS coverage becomes more generous over time and
people reduce precautionary saving in response to the rising generosity. Column 2
examines the issue by controlling for an interaction term between household insurance
status and year. The result yields a negative answer to the alternative explanation because
no significant increase in the insurance effect occurs over time. The third column further
confirms that the difference between the new and experienced members remains significant
after the time trend of the insurance effect on consumption is controlled for.
18
When we further allow the insurance effect to differ in the second, third, and fourth years of household
subscription in the program, we find that the increase in the insurance effect occurs primarily in the second
year of subscription.
23
Another explanation for the dynamics of the insurance effect is related to household
trust in the program. The effect of knowledge on the program is double edged. Particularly,
if households find that the alleged benefits of the program do not take effect, more
knowledge about the insurance cannot reduce precautionary savings. Therefore, household
trust in the insurance program may be the factor that matters most. To identify the trust
effect, in column 3 we control for the interaction between household insurance status and
the indicator of whether some households in the village have received some reimbursement
from the NCMS (―village reimbursement‖=1 if yes; 0 otherwise). The result shows that the
insurance effect on consumption becomes significantly stronger by 17 percentage points
when the benefits of the insurance are experienced by the residents. For the villages that
have not received any reimbursement, the insurance effect is even negative. 19
These results are confirmed by the succeeding estimates on the subsamples. Columns 4
and 5 consider only the villages that have not experienced any reimbursement. Herein, no
significant increase in consumption is observed among the participants (column 4),
regardless of whether the participant is experienced (column 5). By contrast, when we
consider only the villages where some reimbursements have been received, the insurance
program stimulates consumption by 6.3% on average for the insured households (column 6),
which is higher than the average insurance effect of 5.6% reported in the baseline model. In
addition, the experienced participants in these villages exhibit significantly more
consumption than do the new members (column 7), which may be because they acquired
more information about the insurance or because they accord more trust to the program.
These results emphasize that only when households trust the program do they begin to
19
We need to be cautious in explaining the negative insurance effect here because the result is sensitive to
specifications, and there are only a few villages—around 18.6% from 2004 to 2006—that have launched the
program but no household has received reimbursement.
24
reduce precautionary savings and consume more. The responses related to trust are also
consistent with the pattern of participation decision. We find that for those who did not
participate immediately after their villages introduced the program, the participation rate is
67% in the village that have received some reimbursement, but only 36% in the villages
that have not received reimbursement.
6 Robustness, refinements, and gross effects
6.1 Counterfactual tests and other robustness tests
To test whether the identification assumption of the baseline model holds, we apply the
same model to the periods at which households were not covered by the insurance. In
columns 1 to 5 of Table 7, we consider only the households that have not enrolled in the
program in each year. In addition, household status of insurance coverage in period t is
defined as the status in the succeeding period (t+1). That is, the treatment group in this
model represents the households who are not insured in period t but are insured in period
t+1. By construction, the NCMS should not affect household consumption in period t.
The first column shows no significant insurance effect, as it should be. This is also true
when we consider only households who have no health expenditure in the current year
(column 2). These results enhance our confidence that the estimate of the insurance effect
in the baseline model represents the causal effect of the NCMS. The next three columns
confirm that the heterogeneity in the insurance effect also disappears.
The primary concern of the baseline model is that households that enrolled in the
NCMS are not comparable to households that did not. Particularly, we are alerted that
households that have not participated by 2007 may have been covered by other insurance
policies or have very special concerns regarding the participation. Therefore, we exclude
25
such households in the sixth column of Table 7 to test the robustness of our core results.
The result shows that the estimate of the average insurance effect is 5.1 percent, which is
similar to that derived in the baseline model.
Aside from the introduction of the NCMS, another policy change during the same
period is regarded as important: the reduction of agricultural taxes and fees in rural areas.
The tax reduction was piloted in 2004 and ended with the national abolition of the
agricultural tax in 2006. This change increased household disposable income and
consumption. If the amount of tax reduction is correlated with the launch of the insurance
program, then our estimate of the insurance effect is biased. However, the influence of the
tax policy is partly addressed by the fact that we have controlled for the disposable income
with subtracted tax and fee payment. To further test how serious the problem is, we include
the log value of the tax and fee payment as a covariate in column 7. The estimate of the
insurance effect changes only minimally.
Finally, the precautionary motive should not affect basic or subsistence consumption
for human needs. We use food consumption to proxy the subsistence consumption in
column 8. As expected, both the magnitude and significance level of the insurance effect
decline substantially. Nevertheless, the effect remains significant primarily because food
consumption in our dataset still includes non-basic food.
6.2 Gross effects
Our previous analyses all focus on the insurance effect that is estimated based on the
double difference between the insured and non-participants in the NCMS-counties. In this
section, we examine the gross effect of the NCMS that may incorporate the effects of other
changes that occurred simultaneously with the introduction of the NCMS. In principle, this
26
effect can be estimated by the difference in difference between the insured and non-exposed
through the application of the following regression:
)2(._ ijtijtiittit
g
ijt XDTinsuredFamilyY
The equation is the same as that of the baseline model with the exception that here, we
consider only the insured and non-exposed households. The potential selection bias stems
first, from the non-random placement of the NCMS across villages and second, from the
fact that the insured are not randomized into the program. Again, to partly address the issue,
we allow the time trend in consumption to vary with the household income, village average
income, and health status in 2003. We accomplish this by controlling for the interaction
terms between year and corresponding variables.
The first column in Table 8 shows that the gross effect is not significant, implying that
although the NCMS has a positive insurance effect on the consumption of the insured
households, the other contemporary changes reduce the consumption of these households.
This may have resulted from the increase in the market price of health care after the
introduction of the NCMS in the counties. Unfortunately, we do not have sufficient
information on the market price of health care to verify this hypothesis. This issue warrants
more in-depth research.
Although the average gross effect is not significant, the succeeding columns in Table 8
show that the gross effect varies substantially across different groups. First, the gross effect
is significantly positive for the poor households, but declines rapidly with income (column
2). Second, the gross effect increases as the households have more members with fair or
worse health status in 2003 (column 3). Third, the gross effect is significantly positive for
the experienced participants, but not significant for the new members (column 4). The
average gross effect also tends to be more positive among villages where some households
27
have received some reimbursement (column 5). The experienced members in the villages
that have received reimbursements show a much stronger positive gross effect than do their
counterparts in the counties where no households have received any reimbursements
(column 6 and 7). To summarize, the variations across different groups are similar to those
for the insurance effect. This is not surprising because in comparing the gross effect among
insured households, we differentiate the effects of other contemporary policies when the
effects of contemporary policies are similar among insured households.
Although our estimates of the gross effect of the NCMS on consumption are
insignificant, such results do not mean that the insurance program itself is ineffective in
increasing consumption. Rather, they suggest that measures should be taken in conjunction
with the insurance program to help reduce the cost of healthcare services. Potential
measures include monitoring the market price of health care and enhancing the governance
and regulation of health care organizations. In addition, our results also suggest that it may
take time for the gross effect to become significant. As time goes by and more households
become familiar with and gain more trust in the program, they may adjust their
consumption so much so that the gross effect becomes significantly positive.
6.3 Matching difference-in-difference
We couple the DID approach with matching to reduce the selection bias on the
observables. The identification assumptions for the linear regression and matching
approach are the same. However, the matching method does not require strong assumptions
on functional form. Thus, it can address two kinds of potential biases of the simple linear
regression method: the bias caused by the difference in the supports of the observable
covariates between the treated and untreated groups, and the bias due to the difference
28
between the two groups in the distribution of the observables over the common support of
the observables (Smith and Todd, 2005).
The matching method applied here is propensity score matching. We estimate the
propensity score in two steps. First, in each year, we estimate the probability of household
enrollment in the villages that have launched the program. This is estimated on the basis of
households in the NCMS-villages. For households in the non-NCMS villages, we predict
their probability of enrollment on the basis of the estimate. Second, we estimate the
probability of village enrollment in the NCMS in each year.20
For both steps, a probit
model is estimated.21
For the comparison between the insured and non-participants, the
predicted probability from the first step is the propensity score used in the matching. For
the comparison between the insured and non-exposed, we need to consider both the
similarity between households and that between villages; hence, the (composite) propensity
score in each year, i.e., the product of the two probabilities predicted from the
aforementioned two steps, is the one used in the matching estimation.
Figure 1 shows the histogram for the (composite) propensity scores for the three groups:
the insured, non-participants, and non-exposed. As expected, the distribution of the
propensity score is more skewed to the right for the insured than for the non-participants.
Nonetheless, the region of common support is adequate. The propensity score distribution
for the non-exposed is more skewed to the left than that for the non-participants because of
the lower possibility of village enrollment.
20
To weigh the data by the number of households surveyed in each village, the second step is estimated for
the household-level data. 21
Note that the propensity score functions only to reduce the dimensions of the conditioning; thus, it has no
behavioral assumptions attached to it. For the choice of covariates to be included in the estimation of the
propensity score, we begin with all of the plausible variables that affect the participation decision, including
all the covariates considered in Table A.2. Then, the variables for inclusion or exclusion are determined solely
by the balancing requirement (tested by the ―pscore‖ logarithm in Stata). As a result, the ultimate covariates
vary across years. The estimates are available from the authors upon request.
29
Given that we consider more than two periods, the traditional DID matching method
requires modification. We first estimate the insurance effect in each year from 2004 to 2006.
Then, we calculate a weighted average of the insurance effect over these three years by
weighting the effect in each year on the basis of the ratio of the number of the treated in
that year over the total number of the treated in three years. The standard errors are
bootstrapped with 100 replications. For each year, we use the five nearest-neighbors
matching with replacement and caliper 0.01, and impose a common support condition.22
The distance between the propensity scores is measured by the Mahalanobis metric. We
confirm that the results are not sensitive to the number of neighbors (including 3 and 10)
and to the other choices of calipers (including 0.005 and 0.0025).23
Another complication here is whether to consider the experienced participants as the
treated. The temporal difference in the consumption of experienced members represents the
increase in consumption in addition to the first-year increase caused by the insurance
coverage. To simplify the analyses, we exclude all the experienced participants and focus
on the first-year effect of the NCMS on the consumption.24
Table 9 reports the results, which confirm the corresponding estimate in the baseline
model: the insurance effect estimated by comparing the insured new members with the
non-participants is about 5.2%; the gross effect estimated by comparing the insured new
members with the non-exposed is not significant. We also show the reduction in bias on the
22
Among the three choices, the first and second options increase bias but reduce variance, whereas the third
exhibits the opposite effect. Because there are only a handful of untreated units in our sample, allowing
replacement is expected to enable better performance than the case in which no replacement is allowed. Our
sample is not a random sample but oversamples households with substantial health care expenditure that is
affected by the insurance status. Smith and Todd (2005) suggest matching on the odds ratio in this case, which
delivers the same outcome as matching on the propensity scores for the nearest neighbor matching. 23
However, the estimates are somewhat sensitive to the estimation of the propensity score and matching
methods such as the Kernel estimation. Yet, the insurance effect is much less sensitive than the gross effect. 24
We also attempt to consider the experienced as the treated. Thus, the estimate is a weighted average of the
insurance effect in the first-year of participation and the extra insurance effect in later years of participation.
The estimate of the insurance effect on the insured is 4.8% with a bootstrapped standard error of 0.031.
30
observables achieved through matching. The first column indicates that when the
non-participants in the NCMS-villages are used as the controls, the mean absolute
standardized bias after matching is substantially reduced by 41%. However, the reduction
in the pseudo R2 statistics from a probit model is modest, exhibiting a reduction by 19%.
When the non-exposed are used as the comparison group (column 2), matching diminishes
only the mean ―bias‖ by 9% and even raises the pseudo R2. These results imply that
matching is more successful when the non-participants are used as the controls than when
the non-exposed serve as the controls.
6.4 Regression with matching
The simple matching DID estimator continues to be problematic in finite samples when
the matching is inexact; that is, the covariates for the treated groups and those for the
matches are not equal, although they are close after the matching process (Imbens and
Wooldridge, 2009). Moreover, in our context, matching is sensitive to the estimation of the
propensity score. Literature has proposed a combination of weighting (or matching) and
regression to attain ―double robustness‖: as long as the parametric model for either the
propensity score or the regression function is specified correctly, the resultant estimator for
the average treatment effect on the treated groups will be consistent. This is particularly
valuable when one method alone is insufficient for obtaining consistent or efficient
estimates.
There are three ways to combine regression and weighting. First, the regression method
is applied to the common support of the treatment and control groups in the matching
procedure. Second, the regression method is applied to the matched pairs in the matching
procedure. These two methods can easily be incorporated into the baseline fixed-effect
31
model for the panel data. The third method applies the weighted least regression, in which
the weight is 1 for the treated unit, and P/(1-P) for the untreated unit; P is the estimated
propensity score. This method cannot directly be applied in the baseline model because
weighting is not allowed in the fixed-effect model. As a compromise, we consider the DID
regression model for the repeated cross-sectional data that can incorporate weights. Given
that the baseline model treats the experienced members as the treated and estimates the
average insurance effect of all the participants, we also treat the experienced as the treated
when we implement the regression with matching.
Columns 3 to 5 of Table 9 display the results for the insurance effect, from which we
observe a larger insurance effect than that seen in the baseline model. In the fifth column,
for example, the insurance effect is as high as 9.5%, although the estimate is less precise.
The next two columns estimate the gross effect, and both show no significant effect. On the
whole, the robustness tests visibly show that the insurance effect in the baseline model is
relatively robust and reliable.
7 Conclusion
This study exploits the introduction of the NCMS in examining the effects of the health
insurance coverage on consumption in rural areas. Our baseline specification shows that
insurance stimulates the non-health care consumption by around 5.6 percent for the insured
households. This effect does not result from the crowd-in concept because the effect is
substantial even for households that do not incur any health care expenditure. In addition,
the stimulation of consumption is stronger for those expecting a higher risk of having
relatively expensive health care costs, including households with lower income or inferior
health status. Furthermore, the insurance effect increases with the generosity of health
32
coverage at the county hospitals. These results are all consistent with the precautionary
saving motive.
Additionally, these findings are robust to different specifications, including allowing
the time trend of consumption to vary with income and health status, using control groups
that are more similar to the treatment, implementing matching DID, and conducting DID
regression with matching. Counterfactual tests confirm that no insurance effect is present in
the periods at which the households have not been covered by the insurance.
We also find that the insurance effect varies depending on household experience with
the program. Particularly, in the villages where no household has received any
reimbursement from the program, the insurance effect is insignificant for both the
experienced and new members. In the villages where some households have been
reimbursed for health care expenditure, and hence, have established trust in the program,
the insurance effect is significant for the new participants. Furthermore, the increase in
consumption is much stronger for the experienced members than for the new members
within the villages. These results indicate that people’s trust in the public insurance
program can be crucial to the stimulation of non-healthcare consumption by the program.
The findings have strong policy implications. Although the NCMS is often criticized
for lack of generosity, it nevertheless stimulates consumption that is substantially higher
than the amount of the premium. Moreover, it is more effective than cash transfers because
the marginal propensity to consume in rural areas is much smaller than 1. On the basis of
these findings, we expect a higher increase in household consumption once the insurance
program implements a more generous coverage. To realize the maximum stimulation of
consumption, however, building trust in the public safety net and educating people about
insurance programs are important.
33
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certainty equivalence. Quarterly Journal of Economics, 104, 275–298 (May).
35
Figure 1 Distribution of propensity scores for three groups.
01
23
01
23
01
23
0 .5 1
The Participants
The Non-participants
The Non-exposed
Density
The propensity score for household enrollment in the NCMS programGraphs by ncmscom
36
Table 1
The enrollment of villages and households.
Year 2003 2004 2005 2006 2007 or
later
Village’s enrollment
Number of villages newly enrolled 23 22 19 44 32
Cumulative enrollment rate 16.4% 32.1% 45.7% 77.1% 100%
Household’s participation
Number of households newly enrolled 458 689 780 1,561 1,336
Cumulative enrollment rate 9.5% 23.8% 40.0% 72.3% 100%
Number of participants in the NCMS-counties 458 1222 2089 3724
Number of non-participants in the
NCMS-counties 261 310 313 214
Participation rate in the NCMS-counties 63.7% 79.8% 87.0% 94.6%
Number of non-exposed households 4,232 3,428 2,622 1,130
Exposure rate of households 16.8% 33.2% 48.8% 78.0%
Cumulative participation rate in villages that
launched the NCMS in 2003 63.7% 82.1% 94.4% 97.4% 100%
Cumulative participation rate in villages that
launched the NCMS in 2004 75.8% 93.9% 95.0% 100%
Cumulative participation rate in villages that
launched the NCMS in 2005 71.2% 87.0% 100%
Cumulative participation rate in villages that
launched the NCMS in 2006 96.2% 100%
Average participation rate in the
NCMS-villages from 2003 to 2006 87.2%
Average participation rate in the first-year of
village enrollment from 2003 to 2006 85.6%
37
Table 2
Descriptive statistics for three groups of households.
NCMS-villages Non-NCMS
villages
Insured
households
Non-participant
households
All
households
Non-exposed
households
Variables:
Household income in 2003 26442 21460 25880 20995
Total consumption in 2003 10873 10637 10847 9166
Non-healthcare consumption in 2003 10462 10131 10424 8719
Health expenditure in 2003 610.3 738.3 625.5 661.5
In-patient health expenditure in 2003 183.3 63.0 168.6 222.3
Share of members with fair or worse health in
2003a 13.9% 13.6% 13.9% 12.8%
Share of members with poor health in 2003 4.2% 7.2% 4.5% 5.1%
Household size 4.01 4.13 4.02 4.15
Head’s age 51.82 50.50 51.68 50.96
Head’s years of education 6.72 6.44 6.69 6.50
Female head 5.2% 6.7% 5.4% 7.6%
Single head 7.8% 12.2% 8.3% 9.0%
Head is a non-agricultural worker 39% 41% 39% 33%
Share of members older than 65 8.8% 9.7% 8.9% 8.1%
Share of members younger than 10 7.1% 7.5% 7.1% 7.5%
Share of migrants in 2003 15.6% 13.1% 15.3% 16.7%
Having communist members 17% 10% 16% 16%
Minority household 9.7% 17.1% 10.5% 14.8%
Officially poor household 0.26% 0.79% 0.32% 0.22%
Village average income per capita in 2003 3396 3241 3379 2727
Capital of the town 15% 12% 15% 14%
Number of clinics in 2003 1.28 1.26 1.28 1.32
Share of children vaccinated in 2003 97.40 98.54 97.53 94.29
Share of migrants in 2003 23% 23% 23% 25%
Share of laborers in the villages 57% 55% 56% 54%
Share of laborers with high school degrees or
higher in the villages 34% 32% 34% 30%
Mountainous area 47% 53% 48% 56%
Highlands 25% 21% 24% 23%
Western area 20% 20% 20% 27%
Central area 42% 41% 42% 48%
Observations (based on consumption) 7,189 1,038 8227 10,364
Note: The category of households is defined on the basis of households’ participation status in year 2004 to 2006.
Accordingly, the descriptive statistics do not include observations in 2003. The health status is self-reported and there
are five categories: excellent, good, fair, bad, and no working capacity. We label both bad and no working capacity as
poor health.
38
Table 3
Fixed-effect regressions estimating the insurance effect of the NCMS: the insured vs. the non-participants.
Dependent variable: log (consumption net of health expenditures)
(1) (2) (3) (4) (5) (6)
Covariates:
Insured family 0.055*** 0.055*** 0.056*** 0.058*** 0.066*** 0.067***
(0.021) (0.021) (0.021) (0.021) (0.021) (0.021)
Log(income) 0.437*** 0.424*** 0.428*** 0.431*** 0.437*** 0.437***
(0.020) (0.021) (0.021) (0.021) (0.022) (0.022)
Household size 0.099*** 0.098*** 0.096*** 0.096*** 0.093*** 0.092***
(0.012) (0.012) (0.012) (0.012) (0.012) (0.011)
Log (village income per
capita)
-0.065 -0.077* -0.085** -0.094** -0.090** -0.093**
(0.041) (0.041) (0.043) (0.043) (0.043) (0.043)
Year * log(income) -0.005 -0.007
(0.005) (0.006)
Year * log(village income per
capita)
-0.017** -0.015**
(0.007) (0.007)
Year * share of members with
fair or worse health 2003
0.010
(0.016)
Year * share of members with
poor health 2003
-0.045
(0.030)
Propensity score of
participation
-0.049 -0.403*
(0.064) (0.240)
Year * propensity score -0.266*
(0.157)
Yearly trend varying with
income, village income, and
health status in 2003
Y
Yearly trend varying with the
propensity score Y
Observations 9,730 9,730 9,068 9,068 9068 9068
R-squared 0.284 0.286 0.293 0.297 0.294 0.294
Note: Robust standard errors in parentheses, *** p<0.01, ** p<0.05, * p<0.1. The sample includes all the households
in the NCMS-villages. All the columns control for the household fixed effect, year fixed effect, log(income),
household size, share of members over age 65, share of members under age 10, whether the households have
communist members, whether the household is categorized as a ―Wubao‖ household, and log(village income per
capita). Column 4 controls the interaction among year dummies and log(income), log(village income per capita), the
share of members with fair or worse health in 2003, and the share of members with poor health status in 2003.
39
Table 4
The insurance effect of the NCMS: precautionary saving perspective.
Precautionary savings vs. crowd-in perspective
Insurance package
Dependent
variables:
Log(consumption net of health
expenditures)
Log(total
consumption)
Log(consumption net of health
expenditures)
Sample: Households having no health
expenditure in the current year All the sample
Scheme for the
expenditure at
county facilities
Scheme for the
expenditure at
village facilities
(1) (2) (3) (4)
Covariates:
Insured family 0.072* 0.060***
(0.039) (0.021)
Deductibles -0.046** 0.007
(0.019) (0.037)
Coinsurance rate -0.625*** -0.101
(0.177) (0.128)
Observations 3,917 9,068 2,282 2,299
R-squared 0.317 0.302 0.295 0.282
Note: Robust standard errors in parentheses, *** p<0.01, ** p<0.05, * p<0.1. The sample includes all the households in the
NCMS-villages. All the columns control for the household and year fixed effects, log(income), household size, the share of
members over age 65, the share of members under age 10, whether the households have communist members, whether the
household is categorized as a ―Wubao‖ household, and log(village income per capita).
40
Table 5
The insurance effect of the NCMS and risks.
Dependent variable: log (consumption net of health expenditures)
Insurance effects and income Insurance effects and health 1 Insurance effects and health 2
Sample: Entire
sample Poor Rich
Entire
sample
Having fair
or worse
health
members
Having no
fair or worse
health
members
Entire
sample
Poor
health
Good
health
(1) (2) (3) (4) (5) (6) (7) (8) (9)
Covariates:
Insured family 0.652*** 0.055** 0.021 0.040* 0.087** 0.041 0.293*** 0.072** 0.039
(0.244) (0.025) (0.043) (0.023) (0.036) (0.025) (0.093) (0.031) (0.028)
Insured family *
log(income)
-0.061**
(0.025)
Insured family * share of
fair or worse health
members in 2003
0.034*
(0.018)
Insured family * average
health value in 2003
-0.055***
(0.021)
Observations 9,068 4,598 4,470 9068 2,925 6,143 9,065 4,623 4,441
R-squared 0.295 0.339 0.195 0.294 0.325 0.283 0.294 0.332 0.255
Note: Robust standard errors in parentheses, *** p<0.01, ** p<0.05, * p<0.1. The entire sample includes all the households in the NCMS-villages. Column 2 (3)
considers only the bottom (top) half of the income distribution of this sample. Column 5 (6) considers only the households having (having no) members with fair
or worse health in 2003. Column 8 (9) considers only the bottom (top) half of the distribution of household health status in 2003. All the columns control for the
household and year fixed effects, log(income), household size, the share of members over age 65, the share of members under age 10, whether the households
have communist members, whether the household is categorized as a ―Wubao‖ household, and log(village income per capita).
41
Table 6
Insurance effects and learning and trust in the NCMS program.
Dependent variables: Log (consumption net of health expenditures)
Dynamic effects Trust
Sample: Entire sample Entire
sample
NCMS-villages without
reimbursements
NCMS-villages with
reimbursements
(1) (2) (3) (4) (5) (6) (7) (8)
Covariates:
Insured family 0.045** 0.058** 0.026 -0.104* -0.078 -0.085 0.063** 0.061**
(0.021) (0.028) (0.029) (0.053) (0.089) (0.092) (0.030) (0.030)
Experienced members 0.067*** 0.070*** 0.068 0.069***
(0.016) (0.017) (0.094) (0.019)
Insured family * year 0.002 -0.016
(0.019) (0.019)
Village reimbursement -0.155***
(0.056)
Insured family * village
reimbursement
0.170***
(0.059)
Observations 8,996 9068 8996 8,702 3,690 3,689 7,616 7,595
R-squared 0.294 0.293 0.294 0.288 0.248 0.249 0.307 0.309
Note: Robust standard errors in parentheses, *** p<0.01, ** p<0.05, * p<0.1. Village reimbursement is a dummy equal to 1 if some households in
the villages have received reimbursements from the NCMS, and 0 otherwise. The entire sample includes all the households in the NCMS-villages.
All the columns control for the household and year fixed effects, log(income), family size, share of members over age 65, share of members under
age 10, whether the households have communist members, whether the household is a ―Wubao‖ household, and log(village income per capita).
42
Table 7
Counterfactual tests and robustness.
Dependent variable: log(consumption net of health expenditures) Dependent
variable:
log(food
expenditure) Counterfactual tests: uninsured in the current year
More similar
control group
Considering
tax policy
Sample: Uninsured
Uninsured with
no health
expenses in the
current year
Uninsured Uninsured Uninsured Participants by
2007
Entire
sample
Entire
sample
(1) (2) (3) (4) (5) (6) (7) (8)
Covariates
―Insured‖ family 0.024 -0.376 0.210 0.023 0.036 0.051** 0.053** 0.031*
(0.029) (0.777) (0.330) (0.032) (0.038) (0.024) (0.021) (0.017)
―Insured‖ family * log(income) -0.019
(0.034)
―Insured‖ family* share of fair or
worse health members in 2003
0.004
(0.025)
Village reimbursement -0.097*
(0.058)
―Insured‖ family * village
reimbursement
-0.022
(0.070)
Log(tax and fee) -0.007**
(0.003)
Observations 5,064 2249 5064 5064 4889 8,648 9,068 9065
R-squared 0.236 0.285 0.236 0.236 0.237 0.294 0.294 0.305
Note: Robust standard errors in parentheses, *** p<0.01, ** p<0.05, * p<0.1. The entire sample includes all the households in the NCMS-villages. Columns 1-5
consider only the uninsured, and the dummy for ―insured family‖ represents the indicator of whether the family is insured in the succeeding year. All the columns
control for the household and year fixed effects, log(income), household size, the share of members over age 65, the share of members under age 10, whether the
households have communist members, whether the household is categorized as a ―Wubao‖ household, and log(village income per capita).
43
Table 8
Gross effects of the NCMS program.
Dependent variable: Log (consumption net of health expenditures)
Sample: The insured vs. non-exposed
NCMS-village with
reimbursement vs.
non-exposed
NCMS-village
without
reimbursement vs.
non-exposed
(1) (2) (3) (4) (5) (6) (7)
Covariates
Insured family 0.006 0.311** -0.007 -0.002 -0.007 -0.004 -0.011
(0.011) (0.152) (0.013) (0.011) (0.017) (0.013) (0.021)
Insured family *
log(income)
-0.031**
(0.016)
Insured family* share of
fair or worse health
members in 2003
0.029**
(0.013)
Experienced members 0.059*** 0.060*** 0.029
(0.014) (0.015) (0.044)
―Insured‖ family * Village
reimbursement
0.012
(0.018)
Observations 15961 15961 15958 15889 15837 14834 11237
R-squared 0.257 0.257 0.258 0.257 0.252 0.261 0.230
Note: Robust standard errors in parentheses, *** p<0.01, ** p<0.05, * p<0.1. Column 1 to 6 includes all the insured and the non-exposed
households. All the columns control for the household and year fixed effects, log(income), household size, the share of members over age 65, the
share of members under age 10, whether the households have communist members, whether the household is categorized as a ―Wubao‖
household, and log(village income per capita).
44
Table 9
Matching difference-in-difference (DID) and regression with matching.
Dependent variable: Log (consumption net of health expenditures)
Matching DID Regression with matching
Sample:
Insurance effect:
insured vs.
non-participant
Gross effect:
insured vs.
non-exposed
Insurance
effect:
common
support
Insurance
effect:
common
support +
matches
Insurance
effect:
weighted
regression
Gross
effect:
common
support +
matches
Gross
effect:
weighted
regression
(1) (2) (3) (4) (5) (6) (7)
Insured family 0.052*** -0.015 0.064*** 0.061* 0.095* 0.004 0.001
(0.024) (0.017) (0.020) (0.032) (0.050) (0.023) (0.013)
Number of treated 2,442 2,442
Number of untreated 712 6,274
Post-matching bias 9.13 9.88
% change in bias through
matching -40.8% -9.1%
Post-matching pseudo R2 0.096 0.098
% change in pseudo R2
through matching -18.8% 19.8%
Post-matching prob value of
Chi-squared 0.000 0.000
Observations 8753 6299 8806 7143 15303
R-squared 0.297 0.170 0.725 0.170 0.714
Note: For columns 1 and 2, bootstrap standard errors with 100 replications in parentheses. For columns 3 to 7, robust standard errors in
parentheses, *** p<0.01, ** p<0.05, * p<0.1. In column 1 and 2, we exclude experienced participants to simplify the analyses.
45
Appendix A
Table A.1
The insurance schemes for the NCMS programs.
Deductibles Ceilings Average coinsurance rate for in-patient
service
Year Township
clinics
County
hospitals
Upper
level
hospitals
Township
clinics
County
hospitals
Upper level
hospitals
2003 371 457 743 13571 60.30% 61.60% 67.70%
2004 183 294 570 15200 54.00% 62.50% 70.30%
2005 133 261 550 13250 51.40% 58.60% 67.40%
2006 125 302 641 14838 49.10% 59.60% 68.60%
2007 87 252 574 19321 47.50% 55.80% 66.30%
Mean 138 289 603 15732 50.30% 58.70% 67.80%
Coinsurance rate for in-patient
service under RMB 3000
Coinsurance rate for in-patient service
between RMB 3000 and 10000
Township
clinics
County
hospitals
Upper
level
hospitals
Township
clinics
County
hospitals
Upper level
hospitals
2003 70.90% 76.00% 83.10% 71.10% 66.60% 73.70%
2004 67.00% 74.20% 82.60% 61.70% 66.60% 75.00%
2005 55.40% 66.40% 77.00% 54.10% 59.80% 70.60%
2006 54.20% 65.40% 76.30% 51.20% 60.10% 70.40%
2007 50.00% 61.80% 75.40% 49.50% 56.70% 69.10%
Mean 55.60% 66.10% 77.30% 53.70% 60.10% 70.80%
Having different
schemes for different
kinds of facilities
Having different
schemes for different
levels of expenditure
Providers pay
up-front and claim
reimbursement
Migrants are
covered
2003 85.7% 85.7% 14.3% 40.0%
2004 91.7% 84.6% 16.7% 44.4%
2005 95.2% 76.2% 40.0% 47.1%
2006 97.2% 69.4% 40.6% 48.3%
2007 100.0% 62.1% 48.0% 52.2%
Mean 96.2% 71.7% 37.5% 48.2%
46
Table A.2
Household participation decision and County enrollment.
Household participation decisiona County enrollment
(1) (2) (3) (4)
Log(Income) 0.149*** 0.139*** 0.049
Log(village income ) 0.443**
(0.040) (0.044) (0.054) (0.186)
Household size -0.002 0.017 0.027 Villages classified as
―Xiaokan‖
-0.352**
(0.017) (0.020) (0.026) (0.176)
Share of members with good
health in 2003 b
0.207*** 0.190** -0.105 Villages classified as
―Pingkun‖
-0.154
(0.070) (0.080) (0.094) (0.289)
Share of members with fair or
worse health in 2003
0.459*** 0.531*** 0.076 Surburb area
0.129
(0.142) (0.159) (0.186) (0.281)
Share of members with poor
health in 2003
-0.868*** -0.813*** -0.643*** Capital of the town
-0.254
(0.169) (0.179) (0.215) (0.326)
Share of members older than 65 -0.015 0.006 -0.109
Agricultural villages -0.308
(0.139) (0.148) (0.171) (0.254)
Share of members younger than
10
0.453** 0.548*** 0.321 Log(population)
0.153
(0.200) (0.207) (0.274) (0.145)
Share of migrants in 2003 0.114 0.101 -0.095
Share of laborer 2.663***
(0.132) (0.141) (0.154) (0.766)
Minority -0.673*** -0.812*** -0.019 Share of high school
or above
0.064
(0.081) (0.106) (0.216) (0.728)
―Wubao‖ household -0.690** -0.826** -1.311*** Share of migrants in
2003
-0.228
(0.304) (0.355) (0.440) (0.482)
Households with communist
members
0.216*** 0.119 0.150 Number of clinic in
2003
-0.072
(0.074) (0.078) (0.095) (0.080)
Female head 0.089 0.257** 0.156 Share of children
vaccinated in 2003
0.013**
(0.112) (0.116) (0.145) (0.006)
Age of the head of household 0.013*** 0.011*** 0.009***
Mountain areas -0.470***
(0.003) (0.003) (0.003) (0.180)
Head is single -0.233*** -0.233*** -0.221**
Highland area 0.535**
(0.084) (0.087) (0.103) (0.219)
Head’s educational years 3–6c
-0.024 0.070 0.223* Western China
-0.602**
(0.101) (0.104) (0.127) (0.256)
Head’s educational years 7–9 0.047 0.166 0.239*
Central China -0.334*
(0.108) (0.114) (0.136) (0.203)
Head’s educational years 10 and
above
0.122 0.230 0.043
(0.143) (0.152) (0.175)
Head is non-farmer
self-employedd
-0.237*** -0.286*** -0.074
(0.074) (0.086) (0.106)
Head is an employee 0.131* 0.017 0.026
(0.074) (0.079) (0.093)
Head works in other
non-farm-related employment
0.020 -0.023 0.184*
(0.071) (0.077) (0.106)
Village dummies no no yes no
Province dummies no yes no no
Observations 6575 6492 3960 Observations 394
Likelihood -1904 -1711 -1154 Likelihood -212.5
Pseudo R2 0.194 0.273 0.406 Pseudo R
2 0.222
Note: Standard errors in parentheses, *** p<0.01, ** p<0.05, * p<0.1. All columns control year fixed-effects. a). In
columns 1 and 2, we control all the village characteristics considered in column 4. b) The health status is
self-reported. We label both bad and no working capacity as poor health. c) The omitted category is illiteracy or years
of education less than 3. d). The omitted category is farmer. The regression for village enrollment is based on
county-level data. When we run the household-level data, almost all the variables become significant.
47
Table A.3
Results for the baseline model: Balanced panel.
Dependent variable: Log (consumption net of health expenditures)
(1) (2) (3) (4) (5) (6)
Covariates:
Insured family 0.075** 0.101*** 0.096*** 0.111*** 0.094** 0.091**
(0.037) (0.037) (0.037) (0.039) (0.037) (0.038)
log(income) 0.493*** 0.405*** 0.392*** 0.417*** 0.420*** 0.424***
(0.039) (0.041) (0.041) (0.042) (0.043) (0.043)
Household size 0.067*** 0.065*** 0.066*** 0.067*** 0.051** 0.050**
(0.022) (0.021) (0.021) (0.021) (0.021) (0.020)
Log(village income) 0.036 0.008 0.025 0.013 -0.037 -0.040
(0.080) (0.078) (0.079) (0.082) (0.081) (0.081)
Year*log(income) -0.029*** -0.034*** -0.031***
(0.011) (0.011) (0.011)
Year*log(village
income per capita)
-0.061*** -0.057*** -0.072***
(0.021) (0.021) (0.022)
Year * share of
members with fair or
-0.051 -0.055
(0.031) (0.034)
poor health 03
Year * share of
members with poor
-0.058 -0.023
(0.065) (0.076)
health 03
Propensity score of
participation
-0.508* -0.720
(0.299) (0.534)
Year * propensity score 0.010
(0.137)
Yearly trend vary with
income, village income,
health status
Y
Observations 1992 1992 1992 1992 1992 1992
R-squared 0.283 0.303 0.305 0.314 0.311 0.311
Note: Robust standard errors in parentheses, *** p<0.01, ** p<0.05, * p<0.1. All the columns control for the
household fixed effect, year fixed effect, log(income), household size, the share of members over age 65, the
share of members under age 10, whether the households have communist members, whether the household is
categorized as a ―Wubao‖ household, and log(village income per capita).