labor market consequences of race differences in health
Transcription
labor market consequences of race differences in health
John Bound, Timothy Waidmann, Michael Schoenbaum, and Jeffrey Bingenheimer The Labor Market Consequences of Race Differences in Health PSC Research Report Report No. 03-535 May 2003 PSC P OPULATION S TUDIES C ENTER A T THE I N S T I T U T E FOR S OCIAL R ESEARCH U NIVERSITY OF M ICHIGAN The Population Studies Center (PSC) at the University of Michigan is one of the oldest population centers in the United States. Established in 1961 with a grant from the Ford Foundation, the Center has a rich history as the main workplace for an interdisciplinary community of scholars in the field of population studies. Currently the Center is supported by a Population Research Infrastructure Program Grant (R24) from the National Institute of Child Health and Human Development, and by a Demography of Aging Center Grant (P30) from the National Institute on Aging, as well as by the University of Michigan, the Fogarty International Center, the William and Flora Hewlett Foundation, and the Andrew W. Mellon Foundation. PSC Research Reports are prepublication working papers that report on current demographic research conducted by PSC-affiliated researchers. These papers are written for timely dissemination and are often later submitted for publication in scholarly journals. The PSC Research Report Series was begun in 1981. Copyrights for all Reports are held by the authors. Readers may quote from this work as long as they properly acknowledge the authors and the Series and do not alter the original work. PSC Publications http://www.psc.isr.umich.edu/pubs/ Population Studies Center, University of Michigan PO Box 1248, Ann Arbor, MI 48106-1248 USA A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. The Labor Market Consequences of Race Differences in Health John Bound Professor of Economics University of Michigan and Senior Research Scientist, Population Studies Center, University of Michigan Timothy Waidmann Senior Research Associate, Urban Institute and Research Affiliate, Population Studies Center, University of Michigan Michael Schoenbaum Economist, RAND, and Research Affiliate, Population Studies Center, University of Michigan Jeffrey B. Bingenheimer Doctoral Student, Department of Health Behavior and Health Economics, University of Michigan Acknowledgements: Financial support was provided through a contract from the National Institutes of Health, and by the National Institute on Aging (R01 AG17579-01). We are grateful to Seema Thomas for able research assistance; and to Raynard Kington, Arline Geronimus, participants in the National Institute of Health Conference on Health Disparities, Washington, D.C., 2001 and three anonymous referees for helpful comments on earlier drafts. ABSTRACT This paper examines the extent to which race and ethnicity disparities in health can account for race and ethnicity disparities in employment status and other labor-related outcomes. Using White Americans as the reference case, we identify population groups whose health is systematically worse than that of Whites; in practice, this means Blacks and Native Americans. We then document the distribution of labor-related outcomes – employment status, earnings, participation in public transfer programs, and household income – for these three groups. Finally, we examine the extent to which differences across groups in health status can account for differences in labor-related outcomes across those groups. Data come from the 1990 US Census. Our findings suggest that health disparities contribute to the substantial difference in employment and in participation in public transfer programs observed between Whites and Blacks and between Whites and Native Americans. At the same time, health disparities account for relatively little of the (also substantial) differences in household income, or in earnings among the employed, observed across race/ethnic groups. Data Sets Used: U.S. Census of Population and Housing, 1990: Public Used Data Sample: 5% Sample. Page 1 INTRODUCTION Differences in health status across different race and ethnic groups in the United States, particularly between Black and White Americans, have been the subject of considerable medical and social science research. For instance, numerous studies using a variety of health measures have shown the health of Black men and women to be worse than that of Whites (e.g. Manton et al., 1987). The health disadvantage, relative to Whites, of Native Americans has also been documented extensively. Patterns for other major ethnic groups (e.g., Hispanics and Asians) have been somewhat more variable, depending on the measure, the age of the study sample, and other factors such as place of birth and acculturation (Hayward and Heron, 1999; Shalala et al., 1999). Systematic health disparities are likely to have profound – and self-reinforcing – consequences for the relative well-being of different population groups. In this paper, we focus one dimension of such consequences: the association between race differences in health status and race differences in labor market outcomes, respectively. In particular, the same groups for which health disparities relative to Whites are consistently large also have significantly lower rates of employment, earnings, and individual and household income than Whites. It seems likely that these patterns are related. Poor health reduces individuals’ labor supply and reduces the productivity of those who work. In addition, poor health increases individuals’ demand for medical care but reduces the probability that individuals have access to private health insurance (particularly since private insurance is most affordable when offered as an employer-sponsored benefit). At the same time, social policies such as the progressive income tax structure, income transfer programs, and public health insurance are intended to offset some of these forces. In prior work, we have documented the extent to which the poor health of Blacks, relative to Whites, can account for the generally lower employment rates of Blacks nearing retirement age (Bound et al., 1995, 1996). In this study, we extend those analyses to examine other outcomes associated with labor market behavior, including earnings, household income, and participation in public income transfer programs; a broader age range; and additional race/ethnicity groups. Using White Americans as the reference case, we limit our analysis to the two racial/ethnic groups – Blacks and Native Americans – whose health is systematically worse than Whites. We then document the distribution of labor-related outcomes for these respective groups. Finally, we examine the extent to which differences across groups in health status can account for outcome differences across those groups. DATA AND MEASURES We sought microdata that contained information on respondents’ demographic and health status, as well as their labor force behavior and labor-related outcomes such as earnings and income. Given our focus on race/ethnicity disparities, we needed data with sufficiently large samples to stratify analyses by race and ethnicity. Given the strong age gradients on health, we also needed to be able to stratify by age. In our view, the only data source meeting all these criteria was the US Census. Data in the current study thus come from the five percent public use microdata sample (PUMS) of 1990 US Census, a nationally representative sample of the US population. The PUMS sample is drawn from the random subset of US Census respondents who completed the “long form” Census questionnaire in 1990. A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. Page 2 The PUMS contains data on the key domains of interest here, including respondents’ health and labor force status and individual and household income from various sources. However, as we discuss in detail below, the available measures for some domains, particularly health, are fairly limited. In addition, the PUMS lacks certain kinds of information, such as data on health insurance coverage, which would have contributed to this analysis. There are a variety of other data sources with much more detailed information on health, health insurance and medical expenditures. For example, the National Health Interview Surveys (NHIS), the Medical Expenditure Panel Survey (MEPS), its predecessor the National Medical Expenditure Survey (NMES), and the Health and Retirement Study (HRS) all contain detailed measures of health status as well as employment and income data and include over-samples of racial and ethnic minorities. While the HRS covers too narrow an age range, we did conduct extensive analyses using data from MEPS. At best, however, the much smaller MEPS sample permitted analyses only of Whites and Blacks, and it did not support stratification by age. For the broad age group analyzed in the MEPS, findings were broadly consistent with those presented here, but precision was substantially lower. Labor-related Outcomes No single definitive outcome captures all the possible labor market effects of health disparities. We therefore examine a range of related outcomes. Employment. – We calculate the effect of health disparities on the proportion of each population that is employed. For the purposes of our analyses, we define employment as doing any work in the week prior to April 1, 1990, the index date of the Census questionnaire. This definition includes self-employed persons and members of the armed forces on active duty. Average Weekly Earnings. – Respondents reported their earnings for 1989, and the number of weeks worked during 1989. Analyses of weekly earnings are restricted to respondents who had positive earnings in 1989. We calculate annual earnings as the sum of income from wages, salary, commissions, tips and bonuses; and self-employment income from farm and non-farm businesses, and then divide by weeks worked. For persons employed by others, we add to earnings the taxes employers pay into the Social Security system (OASDI and Medicare), calculated using the applicable formulae for 1989 earnings (SSA, 2000). We view this as deferred compensation. For similar reasons, we would have liked to assess total compensation, including the employer cost of worker's compensation and unemployment insurance, and health insurance and retirement benefits; however, data on these elements of compensation are not available in the Census and imputation based on industry and occupation of employment would have been unreliable. Tabulations using the Health and Retirement Survey (Barsky et al., 2002a) and MEPS, which do contain such information, suggest that ignoring these forms of compensation will lead us to underestimate the effect of health on labor market outcomes by a small amount. Participation in Public Transfer Programs. – Respondents reported the amount of income they received in 1989 from Railroad Retirement or from Social Security, and we examined whether respondents received any such income. Since we focus primarily on people under age 65 in this analysis, most Social Security participation will be due to Social Security Disability Insurance. In parallel analyses, we examined whether respondents received any income in 1989 from public assistance, including Aid to Families with Dependent Children, Supplemental A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. Page 3 Security Income, and other public welfare sources. Results are qualitatively similar and are reported in an appendix 3. Household Income. – We calculate respondents’ total household income as the sum of the household’s earned income and retirement benefits in 1989, excluding asset income (i.e., interest, royalties, rental income and income from estates or trusts); plus income from Social Security and public assistance. We sum across members of the same dwelling unit who are related by blood, adoption, marriage, foster care, or other family association. We then subtract income, property and Social Security taxes. To calculate households’ tax burden, we use the data on all persons in the household to create tax-related variables (e.g., state, filing status, number of dependents, and age exemptions) as well as non-asset income disaggregated by category (i.e., own wage; spouse wage, if married filing jointly; farm and business income, alimony and other cash income; pension and IRA distributions; gross Social Security income, non-taxable transfer income; and unemployment compensation.) as inputs to TAXSIM. TAXSIM, a microsimulation model supported by the National Bureau of Economic Research, takes these data and calculates federal and state taxes for each filing unit. Couples who were married with spouses present were assumed to file jointly. Children and step-children of the householder ages 18 and under and living in the household were considered dependents of the householder. Individuals over 19 and subfamilies in the household were considered separate tax-filing units. Demographic Characteristics We assigned each individual to one race/ethnicity category using responses to the racial identity and Hispanic ethnicity questions in the census. We used non-Hispanic Whites (“Whites”) as the reference group for our analyses. Of the race/ethnicity groups we could examine in the PUMS, only two had systematically worse health than Whites, and we limited our analyses to these groups: non-Hispanic Blacks (“Blacks”); and Native Americans and Alaska Natives (“Native Americans”). In this analysis, “Native Americans” include all those responding “Indian(Amer.)”, “Eskimo” or “Aleut” to the race question, regardless of their response to the question on Hispanic origin (see Snipp, 1989 and Harris, 1994) for a discussion of the identification of the Native American population using census data). One alternative data source we investigated (NMES) contains a special supplementary sample of Native Americans obtained by oversampling persons living on or near reservations. Nationwide, however, only about half of persons who identify themselves as Native American live in such areas. (Snipp, 1989) We also examined the health status of Asians and of several different Hispanic groups, including residents of Puerto Rico, people of Puerto-Rican descent in the United States, and Mexican-Americans. These groups showed no consistent health disadvantage relative to Whites, particularly after accounting for levels of educational attainment, and were thus excluded from this analysis. Given strong age gradients in health status, and in the relationship between health and labor market outcomes, we stratify respondents into age categories for all analyses (except as noted). Within age categories, we account for age using single year dummy variables. Except as noted, we account for education in our simulation models, because of the strong relationship between education and health for all race/ethnicity groups and because there are substantial differences in the distribution of educational attainment across race/ethnicity groups. We measure education using five mutually-exclusive dummy variables, indicating completion of A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. Page 4 8th grade or less, completion of some high school, high school graduation, some college, and college graduation. For some analyses, we stratified respondents by education, grouping the first two categories (“high school dropouts”), the next two categories (“high school graduates”) and the last category (“college graduates”), respectively. For analyses of household income, all analyses account for marital status, defined by a single variable indicating whether the individual is married and living with his/her spouse as of April 1, 1990. We note that for models of household income, demographic (and health) characteristics used for standardization are measured only for the individual, e.g., the analyses do not explicitly account for race differences in the joint distribution of health among couples. Health Status The Census includes only four health measures, each regarding physical disability: whether the person has a physical, mental or other health condition that has lasted for six or more months and that (a) limits the kind or amount of work the person can do at a job; (b) whether such a condition prevents the person from working at a job; (c) whether such a condition makes it difficult for the person to go outside the home; and (d) whether such a condition makes it difficult for the person to take care of his/her own personal needs.. The census questions regarding work, mobility and personal care limitations represent three distinct questions. As a result, any possible pattern of responses to these questions is possible. In practice, those that report mobility or personal care limitations usually also report limitations on the amount or kind of work they can do. Unless otherwise noted, we account for three out of four of these measures in our analyses, excluding the indicator of whether the respondent is unable to work out of concern that this measure may be particularly endogenous to labor force outcomes (Waidmann et al., 1995). In practice, however, simulations that controlled for all four Census health measures yielded substantively similar results. We recognize that there are legitimate concerns about the validity of the Census disability items, which are based on a mailback questionnaire rather than an interview; are sometimes filled out by proxy respondents; and contain only general questions on functional limitation, which have been shown not to correspond precisely to more specific and detailed measures such as Activities of Daily Living (ADLs) or Instrumental Activities of Daily Living (IADLs) assessed in other surveys (Andresen et al., 2000). To date, however, little empirical attention has been paid to the validity of the Census disability items. One key question for this analysis is whether differences across the populations in responses to Census questions accurately reflect differences across these populations in terms of the agespecific functional capacities of the respective populations. Available evidence suggests that this is plausibly the case. For instance, patterns of functional limitations by age and race in our Census sample are consistent with evidence on disparities from other sources (e.g., Hayward and Heron, 1999; Geronimus et. al 2001), lending “face validity” to the data. In addition, comparisons between Census and National Health Interview Survey (NHIS) data show similar patterns where comparisons can be made (e.g., Waidmann et al., 1995; Geronimus et al., 2001); the same is true for comparisons between the Census and the National Long Term Care Survey (e.g., Waidmann et al., 1995; Crimmins et al., 1997). Census-type health questions have been shown to be correlated with clinical measures of morbidity across racial and ethnic groups (McGee et al, 1999). Finally, despite a slightly higher rate of non-response to one or more of the A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. Page 5 Census disability items by Blacks (10%) than by Whites (7%), our results were insensitive to whether we included or omitted respondents with imputed health measures. A second key issue is whether the association between the Census disability measures and labor market outcomes accurately reflects the association between “true” health and labor market outcomes. Global self-reported measures of health, although subjective, are highly correlated with clinical measures of morbidity and predictive of subsequent death, health care utilization, and labor market behavior (Idler and Benyamini, 1997; Nagi, 1969; Maddox and Douglas, 1973; LaRue et al., 1979; Ferraro, 1980; Mossey and Shapiro, 1982; Manning et al., 1982). Moreover, this appears to be true across racial and ethnic groups (McGee et al, 1999). Our results, reported below, mirror these findings, in that we observe a very strong association between the Census functional limitation measure and labor market outcomes, overall and for different race/ethnicity groups. However, even if the Census health measures are reliable indicators of actual health, this does not necessarily mean that using such measures as proxies for health when examining racial differences in labor market outcomes will yield valid results. At issue is whether the Census measures are systematically biased. There are a number of reasons to be suspicious of the use of the kind of survey measures available on the Census for studying labor market outcomes (Parsons, 1982; Anderson and Burkhauser, 1984, 1985; Bound, 1991; Waidmann et al., 1995). For instance, respondents are being asked for subjective judgments, and there is no reason to expect that these judgments will be entirely comparable across respondents. Second, responses may not be independent of the labor market outcomes of interest. Third, since health may represent one of the few “legitimate” reasons for a working aged man to be out of work, men out of the labor force may mention health limitations to rationalize their behavior. Each of these problems will lead to a different kind of bias. The lack of comparability across individuals represents measurement error that is likely to lead us to underestimate the impact of health on labor market outcomes, while the endogeneity of self-reported health is likely to lead us to our exaggerate its impact. Biases in our estimation of health's impact on outcomes will also induce biases on coefficients of any variables correlated with health. In previous work, we have taken advantage of more detailed information on health status available in other datasets (e.g., the Health and Retirement Survey) to address the potential biases that may affect estimates using the kind of measures available in the Census (Bound, 1991; Bound et al, 1996, 1998). Overall, this work suggests that findings regarding the effects of health on labor force outcomes have been consistent across different datasets, health measures, and estimation methods. Indeed, if anything, the results from this previous work suggest that the “naïve” use of Census-type health measures (or self-rated general health) tends to understate the effects of health on labor market outcomes. These issues are discussed more formally in appendix 2 and at greater length in Bound (1991), Bound et al. (1996). METHODS We exclude respondents with missing or imputed data on age, gender, race/ethnicity, education, health status, and the respective labor-related outcomes examined here. All our analyses were conducted using the person-level weights developed to make the PUMS sample nationally representative. Our analysis sample includes 5,487,713 White, 554,471 Black, and 51,058 Native American respondents aged 25 and over. Because of possible age gradients in the relationships being examined here, we stratified respondents into ten-year age groups. All A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. Page 6 analyses were conducted within these age strata. We begin by calculating descriptive statistics on the levels of poor health, educational attainment, and income for different race/ethnicity groups, by age and gender. We then use simple multivariate regressions that estimate the association between poor health and labor force outcomes and income, for different race/ethnicity groups. Finally, we use data on Whites, Blacks and Native Americans to simulate what the distribution of outcomes would be among Blacks/Native Americans if the health status of Blacks/Native Americans were to rise to the levels actually observed among Whites. To implement these simulations, we reweight the data on Blacks/Native Americans so that the distribution of health characteristics in the reweighted sample matches the empirically observed distribution of health characteristics among Whites with the same age and gender. We illustrate this procedure using a somewhat stylized example. Among 45-54 year old men in the 1990 Census, approximately 88% of Whites and 75% of Blacks are employed, while approximately 10% of Whites and 17% of Blacks identify themselves as having a health problem that limits the kind or amount of work they can do. For both Whites and Blacks, employment rates are much higher for men without a health limitation than among men who are limited (Figure 1). The overall rate for Whites represents the weighted average of the rates for the two white populations: EW EWU SWU EWL SWL (1) where EW represents the overall non-employment rate for Whites; EWU and EWL represent the employment rates for the unlimited and limited populations, respectively; and SWU and SWL represent the share of the White population without and with limitations. The overall employment rate for Blacks, E B , can be expressed in analogous fashion: EB E BU S BU E BL S BL (2) Here re-weighting the Black data involves reweighting the Black health-specific employment rates ( E BU and E BL ) using the White population shares ( SWU and SWL ): Eˆ B E BU SWU E BL SWL (3) In our example, when Blacks are reweighted using the White prevalence of health limitations, their employment rate rises from approximately 75% to 81% (Figure 2). This method of “direct standardization” is a standard tool used by demographers (Kitagawa, 1964). Researchers typically interpret Equation (3) in terms of a counterfactual, i.e., “what would happen to Black employment rates if the distribution of health among Blacks improved to match that of Whites.” However, this interpretation supposes that, when the health status of Blacks improves, employment rates conditional on health status would remain the same. This is unlikely to be the case, since policy interventions that improve the health of Blacks are likely to affect the employment rates among Blacks with and without health limitations. Alternatively, one can interpret Equation (3) as a descriptive statement. Subtracting (3) from (1) yields: A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. Page 7 EW Eˆ B [ EWU E BU ]SWU [ EWL E BL ]SWL (4) The interpretation of (4) is easiest in the case where racial employment differentials for are similar for those that are and are not limited (i.e., [ EWU EBU ] | [ EWL EBL ] ). In this case, the gap in employment between Whites and re-weighted Blacks is just the employment gap conditional on limitation status. More generally, the employment gap can be interpreted as the weighted average of disability-specific gaps in employment, where the weights (S) are based on the White health distribution. If reweighting makes little difference, and the expression in equation (4) remains very close to the raw difference in employment rates, this suggests that health disparities do not make an important contribution to the racial gap in employment rates. On the other hand, if we find that reweighting makes a significant difference, as we do for some age groups, this suggests that health disparities do contribute to the gap in employment rates .Thus, while reweighted employment rates (as in 3) may not be an accurate estimate of the counterfactual, comparisons between actual and reweighted employment rates do give us a sense regarding the relative importance of health disparities in explaining employment rate disparities. In this example, we standardized Blacks to have the health characteristics of Whites, an approach that is conceptually consistent with the societal goal of improving outcomes among disadvantaged groups. However, it is obviously also possible to standardize Whites to the Black distribution of health. In the example at hand, these alternative simulations produce substantively similar results, because the effect of health limitations on employment is similar for Blacks and Whites. In general, however, the two alternative simulations need not account for similar fractions of the overall Black/White gap in the outcome of interest (cf. Barsky et al., 2002b). We note an important issue that guides our empirical analyses. Our focus is on the association between health status and labor-related outcomes. However, Blacks and Native Americans are also disadvantaged relative to Whites with respect to other characteristics, particularly educational attainment, that are themselves associated with both health status and labor-related outcomes. Standardizing the health characteristics of Blacks to White levels will also, implicitly, raise educational attainment in the standardized population. Since the probability of employment increases sharply with education, our simple example confounds the labor force effects of Black/White disparities in health with the effects of such disparities in education. Standardizing on educational attainment alone would raise analogous issues. In general, there is no way to identify the separate effects of health disparities and education disparities on labor-related outcomes using our simulation methods. We therefore conduct multiple simulations, controlling for age; age and health; age and education; and age, education and health. Comparing simulations that standardize on age alone with ones that standardize on age and health will tend to overestimate the effect of health per se on employment differentials, since the effects of “health” includes the effects of the part of education that is correlated with health. On the other hand, comparing simulations that standardize on age and education to ones that standardize on age, education and health will tend to underestimate the impact of health disparities, since it ignores the impact of health disparities that are correlated with educational disparities. The true effect of disparities in health per se is likely to lie somewhere between these bounds. For our example (Figure 2), Black/White disparities in health thus account for somewhere between 21% and 39% of the Black/White gap in employment. A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. Page 8 The method just described is appropriate for standardizing on a limited number of categorical variables (e.g. age, or the dichotomous measure of health limitation used in Figures 1 and 2). In practice, we are interested in more complex reweighting. We therefore use multivariate standardization techniques that are conceptually analogous to direct standardization but can incorporate many, and continuous, stratifying variables (DiNardo et al., 1996; Heckman et al., 1998; Barsky et al., 2002b). To illustrate, we can extend our simple example to the case in which we want to simulate the effect on employment of reweighting Blacks to reflect the distribution of health and other characteristics observed among Whites. To do this, we first restrict the sample to Black and White respondents. We then estimate a logistic regression in which the dependent variable is 1 if the respondent was Black and 0 otherwise. Explanatory variables include health and other characteristics, such as age and education, depending on the simulation of interest. Also included were interactions between health and education. The parameter estimates can be used to calculate the predicted probability that a person with a particular set of explanatory variables would be observed in the Black sample. Based on these predicted probabilities, or propensities, Blacks who have characteristics that are more typical of Whites are weighted up, while those whose characteristics are more representative of the overall Black sample are weighted down. The reweighted (or counterfactual) distribution from group a can then be used to calculate any characteristic of the counterfactual outcome distribution (mean, median, percentiles) or to depict the entire distribution of outcomes (kernel density estimation). Simulation methods are described in further detail in appendix 2 and in Barsky et al. (2002b). The results of these standardizations identify the extent to which differences in health observed between Blacks and Whites can account for differences between these groups in laborrelated outcomes. We emphasize that we do not necessarily interpret this accounting as causal, in the sense that ameliorating the health differences would necessarily yield proportional reductions in the Black/White disparities in labor-related outcomes. Furthermore, to the extent that observed health differences do not fully account for such disparities, we do not interpret the residual differences in outcomes as causally related to being Black in any meaningful way. At best, the remaining difference may be interpreted as an estimate of the importance of factors other than health that effect race differences in earnings. At minimum, it as a measure of the average gap in each outcome between Blacks and Whites, conditional on health. FINDINGS For reasons of space, we present results for two age groups: 25-34 and 55-64. Except as noted, the patterns we report vary monotonically with age. Detail on other age groups is provided in appendix 3. A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. Page 9 Descriptive Statistics Figures 3 (for men) and 4 (for women) plot the prevalence of various types of health limitation by age and race/ethnicity. For each of the four measures, prevalence rates are low for men and women in their twenties and thirties but begin to rise after that. For each measure, the prevalence is higher for Blacks and Native Americans than for Whites, and prevalence rises with age more steeply than for Whites. As a result prevalence rates tend to diverge with age, so that the absolute difference between Whites and Blacks/Native Americans increases. Table 1 reports the prevalence of poor health by race/ethnicity, overall and by level of educational attainment. The results show that the prevalence of each indicator of poor health is higher for Blacks and Native Americans than for Whites, overall and within each education category. Rates for Blacks and Native Americans are more similar, with prevalence being higher for Blacks in some cells and for Native Americans in others. The overall prevalence of poor health rises with age. In general, the size of the absolute disparity between Whites and the other two groups rises somewhat with age, but the percentage disparity does not vary consistently by age. While the overall prevalence of poor health is inversely related to educational attainment, there do not appear to be consistent gradients in health disparities across education categories. Table 1 also includes a row in each panel presenting the prevalence of each health measure, accounting for race/ethnicity disparities in the distribution of education. Across all ages, differences in education account for between 52% and 84% of the race/ethnicity disparities in the Census health measures. This finding is consistent with prior research (e.g., Schoenbaum and Waidmann, 1997). Poor Health and Labor-related Outcomes Tables 2 and 3 present the effects of multivariate regression analysis that examine the association between health status and employment, earnings, and participation in public assistance programs and Social Security, respectively. Poor health is captured by a dummy variable indicating whether respondents’ health limits the amount or type of work they can perform. These models also include age and education as explanatory variables. Models are stratified by race/ethnicity, age, and gender. The first row reports the result of models for the overall sample in each race/ethnicity-, age-, and gender-specific cell, while the remainder report results for models that are stratified for educational category. Cell values represent the parameter estimate for poor health from the respective regressions. All regressions control for age and education. The first panel of Table 2 presents the association between poor health and employment status. We used logistic regression to model this outcome, so the cell entries contain logit parameters. These can be interpreted as the difference between people with and without health limitation in the log odds of employment. Alternatively, the coefficients can be exponentiated to give the odds of employment for people with health limitation relative to people without. The parameter estimates are negative and very large in every gender, age, education, and race/ethnicity cell, confirming that the association between self-reported work limitations and employment is very strong across all these population groups. Thus, for instance, the coefficient of -2.32 for Black 25-34 year old men implies that for this group, controlling for age and education, the log odds of being employed is 2.32 lower for those reporting a limitation than for A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. Page 10 those not reporting a limitation – i.e. the odds of being employed for those reporting a limitation is roughly 1/10 the odds of being employed for someone not reporting a limitation ( e-2.32|-1/10). Parameter estimates are generally similar for younger White and Black men. The effect of work limitations on employment is somewhat stronger for Black men at older working ages. This pattern is consistent with expectations, since limitations among Black men are likely to be more severe than those among Whites, and since Black men tend to be in more physically demanding jobs. For Native American men, the effect of work limitations on employment is generally weaker than for Whites. For women, parameter estimates for White and Native Americans are generally similar, and those for Blacks are consistently larger (in absolute value). The second panel of Table 2 presents the association between poor health and the natural log of weekly earnings, among respondents who reported positive earnings in 1989. Regressions are weighted by weeks worked, so that people working more weeks will receive more weight and the samples should be representative of the working population in a typical week. The cell entries contain parameter estimates for the effect of work limitations from linear regression models; these coefficients can be interpreted loosely as the percent reduction in weekly earnings associated with a work limitation. With one exception, the effect of poor health is negative and large – reducing earnings by 20% to 40% – in every gender, age, education and race/ethnicity cell. Effect sizes are generally similar across ethnicity groups, and there are no apparent patterns in the differences that do exist. Table 3 presents logit parameter estimates for the effect of work limitations on participation in public assistance and Social Security, respectively. With the exception of the top age category in the table, individuals in this age range participate in Social Security through the Disability Insurance Program or if they have end stage renal disease. For both outcomes, parameter estimates are positive and very large for every population group listed. Parameter estimates are somewhat to substantially higher for college graduates than for those with less education, in most age, gender and ethnicity categories. With a few exceptions, the effect of poor health on participation in public assistance is larger for Whites than for Blacks, and for Blacks than for Native Americans; most exceptions are among college graduates, perhaps because the overall prevalence of public assistance is lowest for this group. In general, the same ethnicity gradients hold for women with respect to receipt of Social Security; there are no consistent ethnicity patterns for men. Simulations In the remainder of this section, we report the results of simulations in which the Black and Native American samples are reweighted to reflect the distribution of age, education, and health status observed among Whites in our Census sample. Table 4-6 present simulation results, stratified by gender and age. In each table, the first row for each age category lists the actual level of the outcome of interest among Whites. The remaining rows present the simulated level of the outcome for Blacks and Native Americans, respectively, after accounting for race/ethnicity differences in age; age and education; age and health; and age, education and health. We note that, empirically, race/ethnicity differences in age alone account for little to none of the disparity in any outcome; as a result, the level in the “age” row is very close to the actual (unadjusted) level observed among Blacks and Native Americans, respectively. The first panel of Table 4 shows simulations for employment. Comparing the first two rows in each age category shows that employment rates are substantially lower for Black and Native A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. Page 11 American men and women than for Whites (except for Black women aged 55-64). Comparing the third and fourth rows with the first indicates that education and health disparities can account for a substantial fraction, but not all, of the race/ethnicity disparities in employment (except for Black women). For example, 90% of White men aged 25-34 are employed, compared with an (age-adjusted) rate of 73% of Black men in that age group. If Blacks in this group had the same distribution of education and health as Whites, we estimate that their employment rate would increase to 78%, thus narrowing the original differential by nearly one-third. The fraction of race/ethnicity differences in employment that are accounted for by health disparities increases substantially with age. For instance, following the logic described in the Methods section, health disparities account for at least 3% (lower bound, comparing the age row with the age and health row) and at most 9% (upper bound, comparing the age and education row with the age, education and health row) of the employment gap between Black and White men aged 25-34 – but between 17% and 41% of the gap between Black and White men aged 5564. This pattern is similar for Native American men and for Black and Native American women. Interestingly, health disparities account for a larger fraction of the race/ethnicity gap in employment for women than for men. We note that older black women have essentially equivalent employment rates as White women; accounting for health disparities, the employment rate of Black women would be substantially higher than for their White counterparts. The second panel of Table 4 presents simulations for weekly earnings, among those with positive earnings in 1989. Mean earnings for Black and Native American men and women in each age group are substantially lower than for Whites. As in the first panel, adjusting for race/ethnicity differences in education accounts for a substantial fraction of these disparities. For instance, for men, education differences account for between one-third and half of the earnings gap between employed Black and Native American men and Whites, respectively. We estimate that if employed Black women in most age categories had the educational distribution of Whites, they would have higher mean earnings. Notably, although health per se is strongly associated with earnings (cf. Table 2), race/ethnicity disparities in health account for little to none of the disparities in earnings, for any of the age, gender and race/ethnicity categories. The large effect of health on employment effectively eliminates measured health differences among the employed. Findings regarding median earnings are substantively similar (see appendix 3). Table 5 presents results for participation in Social Security. Participation is somewhat lower among Whites than among Blacks or Native Americans, for each age and gender group. However, differences nearly disappear in the older age category in the table. For all age groups, health differences account for a very large fraction of race/ethnicity disparities in Social Security participation, and often more than are accounted for by education disparities. This is presumably because of the structural relationship between poor health and eligibility for Social Security Disability Insurance. For men, health and education differences account for all, or nearly all, of the race/ethnicity differences in Social Security participation (although the base rates are relatively low). Finally, Table 6 presents simulation results for mean household income (net of taxes and public transfers). Not surprisingly, mean household income is substantially higher for Whites than for Blacks and Native Americans. The results suggest that health disparities account for relatively little of the substantial race/ethnicity gap in household income, for men or women. However, through age 65 the explanatory power of health disparities increases consistently with age, presumably reflecting the age gradient in the relationship between health disparities and A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. Page 12 employment, observed in Table 4 (the explanatory power of health disparities declines slightly with age after age 65). Detailed results are included in appendix 3.. Health disparities account for a maximum of 15% of the race/ethnicity gap in mean income (for Native American vs. White men aged 55-64). In contrast, disparities in education account for a much larger fraction of the race/ethnicity gap in mean household income. Findings regarding median income are substantively similar (these are available by request). There are number of reasons for this result. For one thing, education disparities are strongly associated with disparities in earnings among the employed, in addition to being associated with disparities in employment; in contrast, health disparities are only associated with the latter. In addition, household earnings include spouse’s earnings (among married couples), which help reduce the economic effects of the poor health of one partner. In contrast, given very strong patterns of assortative mating, the education of spouses is strongly correlated, reinforcing the association between respondents’ own education and household income. DISCUSSION Using micro data from the 1990 Census, we have documented strong associations between health and labor market outcomes for Blacks, Native Americans and Whites. For each of these groups, people who reported having a health problem that limits work are dramatically less likely to be working than similarly educated individuals without such limitations. In addition, among those who were working, people with health limitations typically earned between 20 and 40 percent less than people without such limitations. Overall, we found that Blacks and Native Americans, respectively, have worse labor market outcomes, and worse health and lower educational attainment, than their White counterparts. Race/ethnicity disparities in health could account for a significant part of the differences in employment rates between Blacks and Native Americans on the one hand and Whites on the other, particularly among men and women 45-64 years old. In contrast, observed race/ethnicity disparities in health among employed people were relatively small, leading to our finding that health disparities appeared to contribute very little to weekly earnings disparities between race/ethnicity groups. To examine whether this finding was an artifact of using the Census health measures, we conducted analogous simulations using the Health and Retirement Survey and the more detailed health measures available there; results were substantively similar. We also found that health disparities could account for a significant part of the higher participation rates among Blacks and Native Americans in public assistance programs and especially Social Security, relative to Whites. These results combined with those for employment to produce some association between race/ethnicity disparities in health and disparities in household income, particularly among people aged 45-64. This age gradient, and that for employment, suggests that health differences – possibly due to accumulated economic disadvantage over the life-course – reinforce the economic disadvantage of Blacks and Native Americans relative to Whites that is evident at all ages. Overall, however, health disparities accounted for relatively little of the race/ethnicity gaps in income, which appeared to be associated much more strongly with disparities in education (this was true despite the strong association between health and earnings). One could think of our analyses as addressing the following counterfactual: “Suppose health disparities between Blacks and Native Americans on the one hand and Whites on there other A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. Page 13 were eliminated. What effect would this have on the employment and earnings of Blacks and Native Americans?” However, the reciprocal relationship between health status and economic status calls into some question the meaningfulness of the counterfactual that motivates our analysis. For instance, to the extent to which health disparities are a consequence of race/ethnicity differences in access to health care, it is possible to imagine eliminating such disparities without first eliminating economic disparities between the races. Alternatively, to the extent that health disparities are initially due to economic disparities, it is impossible to imagine eliminating health disparities without first eliminating economic disparities directly. It is for this reason that we have described our work as primarily an accounting exercise. As we have discussed, the health measures available in the Census are limited in a number of ways. These limitations could lead us to over- or under-estimate the effect of health on labor market outcomes (Bound, 1991). They could also induce a bias on estimates of the impact of race/ethnicity on outcomes, regardless of whether we correctly measure the impact of health itself. However, prior research suggests that the various potential sources of bias apparently balance each other out (Bound, 1991; Bound et al, 1996, 1998,). Our indicators of the labor market “costs” of health disparities are also limited. For instance, omitting factors such as health insurance and private pensions is likely to lead us to understate race/ethnicity disparities in labor-related outcomes. With the caveat that health care use is endogenous with respect to health insurance coverage and economic status, we would also have liked to account for out-of-pocket spending on medical care, since one reason that poor health reduces economic well-being is because sick people purchase medical care. Finally, we note that health disparities between Blacks and Native Americans and Whites, respectively, are likely to have substantial impacts on well-being not captured in this analysis. The measures of economic disparity examined here do not incorporate the costs of premature mortality, but it is clear that any comprehensive conceptualization of economic disadvantage could, and should, account for this (Murphy and Topel, 2001). 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Page 17 Figure 1: Proportion employed, by limitation status (men aged 45-54) Proportion employed 1.00 0.80 0.60 0.40 0.94 White Black 0.86 0.42 0.20 0.22 0.00 Not limited Health limits work Limitation status Figure 2: Standardized proportion employed (men aged 45-54) Proportion Employed 1.00 0.90 0.80 0.70 0.60 0.50 0.885 \ 0.753 0.805 0.823 0.795 White (actual) White (actual) Black (actual) Black, with health standardized to White levels Black, with education standardized to White levels Black, with educ & health standardized to White levels A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. Black Native American Fig. 3c: Proportion with mobility limit, male White Age White Age Black Native American - 0.02 0.04 0.06 0.08 0.10 0.12 0.14 0.16 - 0.05 0.10 0.15 0.20 0.25 0.30 0.35 White Age Black Native American Fig. 3d: Proportion with personal care limit, male A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. Figures plotted are 5-year moving averages of weighted single-year prevalence estimates. - 0.02 0.04 0.06 0.08 0.10 0.12 0.14 - 0.05 0.15 0.10 25 25 0.20 28 28 0.25 58 58 0.35 0.30 61 61 0.40 64 64 0.40 28 28 31 31 31 31 34 34 34 White 34 37 37 37 37 40 40 40 Age Black 40 43 43 43 43 46 46 46 46 49 49 49 Native American 49 52 52 52 52 55 55 55 55 0.45 25 25 Fig. 3b: Proportion unable to work, male 58 58 Fig. 3a: Proportion with work limitation, male 61 61 Page 18 64 64 Black Native American Fig. 4c: Proportion with mobility limit, female White Age White Black Age Native American - 0.02 0.04 0.06 0.08 0.10 0.12 0.14 0.16 - 0.05 0.10 0.15 0.20 0.25 0.30 0.35 Fig. 4b: Proportion unable to work, female White Black Age Native American Fig. 4d: Proportion with personal care limit, female A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. Figures plotted are 5-year moving averages of weighted single-year prevalence estimates. - 0.02 0.04 0.06 0.08 0.10 0.12 0.14 0.16 - 0.05 0.10 0.15 0.20 58 58 0.25 61 61 0.30 64 64 0.35 25 25 28 28 28 28 31 31 31 31 34 34 34 White 34 37 37 37 37 40 40 40 Age Black 40 43 43 43 43 0.40 25 25 46 46 46 46 49 Native American 49 49 49 52 52 52 52 55 55 55 55 58 58 Fig. 4a: Proportion with work limitation, female 61 61 Page 19 64 64 Page 20 Table 1: Proportion of people with health conditions that limit work, mobility, or personal care Male Female Native Native AGE EDUCATION GROUPa White Black American White Black American HEALTH LIMITS KIND OR AMOUNT OF WORK 0.054 0.080 0.095 0.043 0.057 0.081 Whole sample -0.062 0.063 -0.047 0.055 Ed standardized to Whites 25-34 0.136 0.151 0.140 0.113 0.109 0.117 HS dropouts 0.054 0.066 0.083 0.042 0.049 0.073 HS grads 0.016 0.020 0.038 0.018 0.022 0.042 Coll grads 0.200 0.285 0.350 0.165 0.295 0.317 Whole sample -0.240 0.321 -0.254 0.288 Ed standardized to Whites 55-64 0.318 0.347 0.414 0.275 0.376 0.384 HS dropouts 0.184 0.225 0.305 0.134 0.225 0.255 HS grads 0.095 0.133 0.210 0.085 0.116 0.206 Coll grads HEALTH PREVENTS WORK 0.018 0.043 0.037 0.017 0.031 0.040 Whole sample -0.029 0.020 -0.023 0.022 Ed standardized to Whites 25-34 0.072 0.102 0.069 0.069 0.077 0.070 HS dropouts 0.015 0.029 0.027 0.015 0.023 0.033 HS grads 0.002 0.004 0.009 0.003 0.006 0.004 Coll grads 0.130 0.224 0.269 0.125 0.248 0.260 Whole sample -0.175 0.225 -0.205 0.222 Ed standardized to Whites 55-64 0.246 0.291 0.355 0.236 0.332 0.343 HS dropouts 0.108 0.155 0.204 0.093 0.173 0.181 HS grads 0.038 0.069 0.083 0.047 0.068 0.116 Coll grads HEALTH LIMITS MOBILITY 0.012 0.025 0.021 0.011 0.019 0.023 Whole sample -0.017 0.008 -0.014 0.010 Ed standardized to Whites 25-34 0.047 0.061 0.039 0.045 0.047 0.035 HS dropouts 0.009 0.016 0.015 0.009 0.014 0.021 HS grads 0.002 0.005 0.011 0.003 0.004 0.005 Coll grads 0.044 0.090 0.099 0.054 0.115 0.116 Whole sample -0.071 0.086 -0.098 0.100 Ed standardized to Whites 55-64 0.085 0.118 0.129 0.101 0.149 0.151 HS dropouts 0.035 0.060 0.075 0.040 0.085 0.079 HS grads 0.016 0.030 0.044 0.023 0.040 0.076 Coll grads HEALTH LIMITS PERSONAL CARE 0.019 0.067 0.050 0.016 0.066 0.048 Whole sample -0.055 0.026 -0.057 0.035 Ed standardized to Whites 25-34 0.053 0.108 0.086 0.050 0.111 0.072 HS dropouts 0.017 0.058 0.036 0.015 0.060 0.043 HS grads 0.007 0.031 0.038 0.007 0.030 0.017 Coll grads 0.048 0.123 0.106 0.049 0.127 0.100 Whole sample -0.103 0.091 -0.112 0.090 Ed standardized to Whites 55-64 0.083 0.150 0.138 0.087 0.157 0.124 HS dropouts 0.041 0.096 0.078 0.038 0.101 0.072 HS grads 0.019 0.057 0.053 0.021 0.062 0.087 Coll grads a NOTE: "Ed standardized" includes whole sample, with distribution of education standardized to White levels SOURCE: Authors' calculations using 1990 US Census A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. EDUCATION GROUPd NOTE: Linear regression, with dependent variable being the natural log of average weekly earnings, among those with non-zero earnings in 1989, weighted by the number of weeks worked A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. NOTE: Represents largest standard error estimate for any cell within the column SOURCE: Authors' calculations using 1990 US Census NOTE: Pooled sample includes all levels of education; other rows are restricted to respondents in respective categories of educational attainment d e age and educational attainment (within education category, as appropriate). Models are stratified by race/ethnicity and gender. NOTE: Logistic regression, with dependent variable that is 1 if respondent was working for pay on April 1, 1990 b c Native Native Native Native White Black American White Black American White Black American White Black American -2.32 -2.36 -1.54 -1.32 -1.95 -1.33 -0.33 -0.25 -0.15 -0.26 -0.21 -0.15 -2.38 -2.42 -1.54 -1.53 -2.05 -1.19 -0.37 -0.36 0.07 -0.30 -0.29 -0.13 -2.33 -2.34 -1.54 -1.33 -1.92 -1.41 -0.31 -0.20 -0.23 -0.27 -0.19 -0.15 -1.98 -2.08 -1.98 -0.96 -1.97 -0.75 -0.32 -0.22 -0.43 -0.22 -0.22 -0.24 -2.23 -2.84 -2.49 -1.82 -2.59 -2.06 -0.25 -0.24 -0.32 -0.22 -0.18 -0.44 -2.68 -3.13 -2.82 -2.17 -2.72 -2.10 -0.22 -0.26 -0.25 -0.18 -0.15 -0.20 -2.09 -2.53 -2.43 -1.70 -2.48 -2.17 -0.22 -0.20 -0.42 -0.22 -0.18 -0.40 -1.74 -2.20 -1.30 -1.51 -2.29 -1.99 -0.36 -0.30 -0.07 -0.34 -0.32 -1.28 0.05 0.18 0.58 0.04 0.14 0.50 0.02 0.07 0.29 0.03 0.07 0.26 Women LOG WEEKLY EARNINGSc Men Women NOTE: "Poor health" represented as a dummy variable that is 1 if respondent's health limits or prevents work; other explanatory variables are a Pooled sample HS dropouts 25 to 34 HS grads Coll grads Pooled sample HS dropouts 55 to 64 HS grads Coll grads Maximum Standard Errore AGE Men EMPLOYEDb Table 2: Parameter estimate for the effect of health limitation on labor market outcomesa Page 21 age and education (within education category, as appropriate). Blank cells due to low participation rates plus limited sample size. A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. NOTE: Represents largest standard error estimate for any cell within the column SOURCE: Authors' calculations using 1990 US Census d NOTE: Pooled sample includes all levels of education; other rows are restricted to respondents in respective categories of educational attainment NOTE: Logistic regression, with dependent variable that is 1 if respondent received any income from Social Security (SSDI or ESRD) in 1989 b c Native American 1.70 1.59 1.76 -1.41 1.03 1.92 5.30 0.29 NOTE: "Poor health" represented as a dummy variable that is 1 if respondent's health limits or prevents work; other explanatory variables are a Table 3: Parameter estimate for the effect of health limitation on receipt of income from public transfer programsa ANY INCOME FROM SOCIAL SECURITYb Men Women AGE EDUCATION GROUPc White Black Native American White Black 3.12 3.19 3.26 2.51 1.99 Pooled sample 25 to HS dropouts 3.22 2.99 3.37 2.23 1.67 34 3.13 3.32 3.34 2.60 2.20 HS grads 2.81 3.13 2.39 2.75 2.46 Coll grads 2.05 1.63 1.56 1.31 1.08 Pooled sample 55 to HS dropouts 2.01 1.56 1.28 1.08 0.93 64 2.10 1.76 2.06 1.45 1.35 HS grads 1.85 1.83 1.62 1.37 1.29 Coll grads 0.09 0.38 0.38 1.55 0.09 Maximum Standard Errord Page 22 "Health" indicates that distribution of work limitation among Blacks/Native Americans is standardized to the White distribution "Education" indicates that distribution of education among Blacks/Native Americans is standardized to the White distribution "Age" indicates that distribution of age among Blacks/Native Americans is standardized to the White distribution A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. NOTE: Represents largest standard error estimate for any cell within the column SOURCE: Authors' calculations using 1990 US Census d NOTE: Outcome is mean and median weekly earnings, among those with non-zero earnings in 1989, weighted by weeks worked NOTE: Outcome is 1 if the respondent was working for pay on April 1, 1990 and 0 otherwise b c Black $595 $464 $498 $463 $497 $835 $612 $693 $614 $694 $ 0.07 MEAN WEEKLY EARNINGSc Men Women Native Native American Black American $595 $408 $408 $488 $386 $320 $551 $408 $356 $488 $386 $319 $554 $408 $356 $835 $397 $397 $670 $430 $388 $745 $462 $438 $683 $435 $379 $759 $464 $429 $ 0.83 $ 0.05 $ 0.70 NOTE: Table shows outcomes for Blacks/Native Americans, standardizing for race/ethnicity differences in various characteristics "White" row represents actual level of each outcome observed among Whites in the age category. a Table 4: Simulated labor force outcomes for Blacks/Native Americansa PROPORTION EMPLOYEDb Men Women Native Native AGE REWEIGHTED BYa Black American Black American 0.900 0.900 0.719 0.719 White (actual) 0.729 0.703 0.655 0.567 age 25 to 0.778 0.758 0.709 0.646 age, education 34 0.744 0.717 0.664 0.580 age, health 0.783 0.765 0.712 0.653 age, education, health 0.654 0.654 0.440 0.440 White (actual) 0.545 0.486 0.441 0.342 age 55 to 0.597 0.554 0.491 0.407 age, education 64 0.590 0.558 0.499 0.396 age, health 0.615 0.604 0.527 0.450 age, education, health Maximum Standard Errord 1.6E-05 1.8E-04 1.2E-05 1.5E-04 Page 23 Page 24 Table 5: Simulated participation in Social Security by Blacks/Native Americansa,b Men Women AGE REWEIGHTED BYa Black Native American Black Native American 0.012 0.012 0.011 0.011 White (actual) 0.015 0.015 0.018 0.020 age 25 to 34 0.012 0.012 0.015 0.016 age, education 0.012 0.011 0.017 0.018 age, health 0.011 0.011 0.015 0.015 age, education, health 0.189 0.189 0.210 0.210 White (actual) 0.193 0.215 0.210 0.218 age 55 to 64 0.166 0.194 0.194 0.211 age, education 0.173 0.182 0.189 0.186 age, health 0.158 0.166 0.180 0.182 age, education, health Maximum Standard Errorc 1.3E-05 1.5E-04 1.0E-05 1.3E-04 a NOTE: Simulations are analogous to those in Table 4 b NOTE: Outcome is 1 if the respondent received any income from Social Security in 1989 and 0 otherwise c NOTE: Represents largest standard error estimate for any cell within the column SOURCE: Authors' calculations using 1990 US Census A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. Page 25 Table 6: Simulated mean household income after taxes & transfersa,b Men AGE REWEIGHTED BY Black Native American $27,122 $27,122 White (actual) $18,369 $16,862 age 25 to 34 $20,723 $19,530 age, education $18,714 $17,212 age, health $20,844 $19,660 age, education, health $31,607 $31,607 White (actual) $22,024 $20,193 age 55 to 64 $26,839 $24,110 age, education $23,110 $21,911 age, health $27,345 $25,257 age, education, health Maximum Standard Errorc $0.93 $17.21 a Black $28,583 $17,117 $19,195 $17,381 $19,304 $25,221 $15,438 $17,816 $16,634 $18,486 $0.36 Women Native American $28,583 $17,863 $20,329 $18,242 $20,581 $25,221 $15,392 $17,980 $16,750 $19,165 $5.55 NOTE: Simulations are analogous to those in Table 4 b NOTE: Outcome is net household income in 1989 from non-asset sources, subtracting income, property, FICA and Social Security taxes, and adding transfers from Social Security and public assistance c NOTE: Represents largest standard error estimate for any cell within the column SOURCE: Authors' calculations using 1990 US Census A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. APPENDIX: Page 1 APPENDIX 1: Measuring Health The Census includes only four health measures, each regarding physical disability: whether health limits the kind or amount of work the respondent can do; whether health prevents the respondent from working; whether health limits the respondent’s mobility; and whether health limits the respondent’s ability to care for him/herself.1 Unless otherwise noted, we account for three out of four of these measures in our analyses, excluding the indicator of whether the respondent is unable to work out of concern that this latter variable may be particularly endogenous to labor force outcomes (e.g., Waidmann et al., 1995).2 The Census health items are much more general than the Activities of Daily Living (ADLs) or Instrumental Activities of Daily Living (IADLs) items that are ascertained on more detailed surveys such as the Medical Expenditure Panel Survey or the National Health Interview Survey. In addition, more detailed health surveys generally assess other dimensions of health, such as the presence of specific chronic conditions, which the Census does not assess.3 Little empirical attention has been paid to the validity of the Census disability items. Andresen et al. (2000) found that responses to the more global Census questions do not correspond precisely to responses to narrow questions about specific, individual ADLs or IADLs. However, this finding is neither surprising nor particularly relevant here. The issues of more immediate concern for this analysis are first, whether differences across race/ethnicity groups in responses to the respective Census questions accurately reflect differences across these groups in the age-specific functioning of the respective populations; and second, whether observed differences in functioning as measured by the Census items across labor market groups (e.g. the employed versus the non-employed) reflect true differences in functioning between these groups. Global self-reported measures of health, although subjective, are highly correlated with clinical measures of morbidity and predictive of subsequent death, health care utilization, and labor market behavior (Idler and Benyamini, 1997; Nagi, 1969; Maddox and Douglas, 1973; LaRue et al., 1979; Ferraro, 1980; Mossey and Shapiro, 1982; Manning et al., 1982). What is more, this appears to be true across racial and ethnic groups (McGee et al, 1998). Our own results (reported below) mirror these findings, in that we observe a very strong association between the functional limitation measure in the Census and labor market outcomes, overall and for different race/ethnicity groups. However, even if the Census health measures are reliable indicators of actual health, this does not imply that using such measures as proxies for health when examining racial differences in labor market outcomes will yield valid results. At issue is whether the Census measures are systematically biased. There are a number of reasons to be suspicious of the use of the kind of survey measures 1 The Census questionnaire asks, “Does this person have a physical, mental or other health condition that has lasted for 6 or more months and which (a) limits the kind or amount of work this person can do at a job? (b) prevents this person from working at a job? Because of a health condition that has lasted 6 or more months, does this person have any difficulty (a) going outside the home, for example to shop or visit a doctor’s office? (b) taking care of his or her own personal needs, such as bathing, dressing or getting around inside the home?” 2 Empirically, simulations that controlled for all four Census health measures yielded substantively similar results. 3 In addition, Census data are based on a mail survey, and are sometimes provided by proxy respondents (although both are also true of data from some more detailed health surveys). A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. APPENDIX: Page 2 available on the Census for studying labor market outcomes (Parsons, 1982; Anderson and Burkhauser, 1984, 1985; Bound, 1991; Waidmann et al., 1995). First, respondents are being asked for subjective judgments, and there is no reason to expect that these judgments will be entirely comparable across respondents. Second, responses may not be independent of the labor market outcomes of interest. Third, since health may represent one of the few “legitimate” reasons for a working aged man to be out of work, men out of the labor force may mention health limitations to rationalize their behavior. Fourth, since disability benefits are available only for those deemed incapable of work, men and women will have a financial incentive to identify themselves as disabled, an incentive that will be particularly high for those for whom the relative rewards from continuing to work are low. Lastly, since there is ample evidence that responses to questions about health status depend on social context (e.g., Waidmann et al, 1995), it seems possible that Blacks or Native Americans would answer the Census questions using a different implicit scale than do whites. Each of these problems will lead to a different kind of bias. The lack of comparability across individuals represents measurement error that is likely to lead us to underestimate the impact of health on labor market outcomes, while the endogeneity of self-reported health is likely to lead us to our exaggerate its impact. Biases in our estimation of health's impact on outcomes will also induce biases on coefficients of any variables correlated with health. In addition, the dependence of self-reported health on the economic environment will induce a bias on estimates of the impact of race/ethnicity on outcomes, regardless of whether we correctly measure the impact of health itself. Finally, if race/ethnicity has a direct impact on reporting behavior, this will limit the extent to which health disparities can account for differences in labor market outcomes, independent of whether we correctly measure the impact of health itself. To get a better understanding of these issues, it will be helpful to consider a simple statistical model of the association between health and demographic factors on labor market outcomes. To be concrete, we consider earnings (again, as an example of the type of outcome examined here), denoted by Y. Y is a function of health status, denoted Ș; race, R, and other unmeasured components, H . We are interesting estimating the extent to which race differences in health can account for race differences in the labor market outcome we are considering. For this purpose, we would ideally like to estimate two regressions: Y E 1 R O1K H Y E 1cR H c (1) By construction, H is uncorrelated with both R and Ș, and H c is uncorrelated with R ( H is the part of Y not accounted for by R and Ș. Here, E 1c measures the race gap in earnings, while E 1 measures the racial gap adjusting for health differences between the races. The comparison between these parameters gives a measure of the extent to which racial health disparities in health account for racial disparities in labor market outcomes. Valid estimates of this comparison clearly require valid estimates of E 1 . In particular, we are interested in how the fact that we have only a proxy for Ș affects our estimate of E 1 . We do not directly observe Ș but rather an indicator, self-reported disability, A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. APPENDIX: Page 3 denoted by H. H depends on health status Ș , but also potentially on R, and, again on other random components P 1 , H = E 2 R + O2 K + P1 (2) Since Ș is unobserved, the sign of O 1 in (1) is arbitrary, but if larger values of Ș are associated with better health then we would expect that O 1 should be positive as well. Assuming the same for H, O 2 will also be positive. For convenience of exposition, we define R in a way that E 1 is also positive (so in regressions that include Blacks and Whites, or Native Americans and whites, R might be an indicator for being white). If, conditional on actual health Ș, Blacks (or Native Americans) are no more nor less likely to report themselves in poor health, then E 2 = 0 . On the other hand, if Blacks are less likely to report themselves in poor health, conditional on actual health, then E 2 < 0 , while if blacks are more likely to report to report themselves in poor health, E 2 > 0 . One possibility for estimating equation (1) is to use H as a proxy for Ș. There are a variety of econometric problems with doing so. The correlation between H and P 1 introduces a simultaneity bias on Ô 1 (the estimate of O 1 ), while variance in P 1 introduces errors-in-variables bias. Errors in estimates of O 1 , and the dependence of H on R, translate into errors in estimates of E 1 . In particular, letting rK ,R represent the correlation between Ș and R, and ȡ the correlation between H and P 1 ; and normalizing O 2 to equal 1, it is easy to show that: O 1 V K2 (1 - rK2 ,R ) + V H V P U Oˆ1 = V K2 (1 - rK2 ,R ) + V 2P 1 (3) 1 Eˆ 1 = E 1 + ( O 1 - Oˆ1 ) V K ,R - Oˆ1 E 2 V 2R (4) As long as U > 0 , this correlation will impart an upward bias on Ô 1 , while V 2P will impart 1 the standard errors-in-variables downward bias on Ô 1 . Which of these is dominant depends on the relative strength of these two forces. The bias on Eˆ 1 will depend on the biases on Ô 1 and E 2 , respectively. Thus, even if the errors-in-variables and the simultaneity biases on Ô 1 were to cancel, we will still tend to underestimate E 1 if E 2 > 0 and overestimate ȕ1 if E 2 < 0 . The above expressions make clear that the biases on Ô 1 and Eˆ 1 may be quite substantial even when H is a reliable measure of Ș (i.e., even when V 2P is quite small). They also make 1 clear that the magnitude and even the direction of the bias depend on the magnitude of several different correlations. Even if the Census health measures are highly correlated with actual health, estimates using these as a proxy for health may not give reliable results. Likewise, even if the Census measures often represent rationalization, their use may not necessarily exaggerate the role of health on labor-related outcomes. A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. APPENDIX: Page 4 Beliefs about the kinds of bias involved using the Census health measures as a proxy for actual health implicitly reflect judgments about all quantities involved in the above expressions. In particular, (4) illustrates that the validity of our analysis depends on whether differences in the Census health measures across labor market groups (e.g. the employed versus the nonemployed) accurately reflect true health differences between these groups (i.e. on whether Oˆ1 | O 1 ), and on whether differences across racial groups in responses to Census questions accurately reflect differences across these groups in the age-specific functional capacities of the respective populations (i.e. on whether Eˆ 2 | 0 .) In previous work, we have taken advantage of more detailed information on health status available in other datasets (e.g., the Health and Retirement Survey) to address the potential biases that may affect estimates of E 1 (and O1 ), using instrumental variables methods (Bound, 1991; Bound et al, 1996, 1999). We have also used this work to compare results based on instrumental variables methods with those based directly on the type of health measures available in the Census (Bound et al., 1998). In general, our findings regarding the effects of health on labor force outcomes have been consistent across different datasets and across estimation methods. Indeed, if anything, the results from this previous work suggest that the “naïve” use of Census-type health measures (or self-rated general health) tends to understate the effects of health on labor market outcomes. This suggests that, empirically, the endogeneity and errors-in-variables biases described above approximately offset each other. One addition issue mentioned above is that the Census measures of physical limitation may not accurately reflect race/ethnicity differences in health. In general terms, our results (reported below) are consistent with race and age gradients in disability observed elsewhere, e.g., Blacks have higher disability rates than Whites, with disparities most pronounced in young through middle-adulthood and narrowing in old age. We have also compared the Census health measures with comparable information from the National Health Interview Survey (NHIS) and found similar patterns across these datasets (e.g., Waidmann et al., 1995; additional results are available by request). Multivariate logistic regressions of disability status by age, race, and education using the1994 disability supplement to the NHIS (NCHS 1996) and the 1990 Census, respectively, show patterns that are quite similar across the two surveys. A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. APPENDIX: Page 5 APPENDIX 2: Simulation Methods As we have described, the focus of this paper is to assess the possible effects of racial/ethnic disparities in health (which we can denote by H) on employment rates, earnings, and income of different racial/ethnic groups (we will refer to earnings, denoted by Y, as an example of the type of outcome examined here). To examine these issues, we use data on Whites and on other race/ethnicity groups in the population with systematically lower health status that Whites; in essence, we reweight the other race/ethnicity populations in such a way that their distribution of health is approximately coincident to the distribution of health actually observed in the White population. In the context of discrete data, our method would be identical to standardization methods familiar to demographers. For expositional purposes, we focus in this section on disparities in H and Y between Whites and Blacks (denoted by w and b, respectively). Throughout this section, we will adopt the convention that capital letters indicate population variables, and lower-case letters indicate a particular value of a variable. A standard method of assessing the extent to which race differences in Y can be explained by race differences in H is given by Blinder (1973) and Oaxaca (1973). The Blinder-Oaxaca decomposition is most often discussed in terms of regressions fitted to sample data. For our purposes, however, it is convenient to begin with a slightly more abstract discussion of the Blinder-Oaxaca logic, described in terms of conditional expectation functions. This approach does not begin with the any particular presumption about the shape of that the conditional expectation function for earnings given health. Further, by focusing explicitly on the distribution of health for Blacks and for Whites, it sets the stage for all of the later analysis. The exposition in this section is closely adapted from Barsky et al. (2001). We denote race as R {w, b} . We let E[Y | R, H ] be the conditional expected function given race and health, and g ( H | R) the distribution of health conditional on race. The expected value of earnings for a given race is then given by E[Y | R] ³ E[Y | R, h]g (h | R)dh (5) The Blinder-Oaxaca decomposition, which focuses on mean differences between groups, is thus implicitly based on (5). The method performs the following thought experiment: imagine integrating the conditional expectation of earnings for Whites over the Black health distribution, Eb [Y | w] { ³ E[Y | w, h]g (h | b)dh (6) With this construction in mind, the Blinder-Oaxaca method decomposes the group difference in mean earnings into the portion attributable to differences in the health distribution and the portion attributable to differences in the conditional expectations function. These two components are represented by the first and second terms in the following equality, A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. APPENDIX: Page 6 E[Y | w] Eb [Y | w] Eb [Y | w] E[Y | b] ³ E[Y | w, h]g (h | w) g (h | b)dh ³ E[Y | w, h] E[Y | b, h g (h | b)dh E[Y | w] E[Y | b] (7) We note that differences in the health distribution are evaluated here using the White conditional expectations function. Alternatively, differences in the earnings distributions may be evaluated using the expectations function for Blacks, thereby focusing on the quantity E w [Y | b] { ³ E[Y | b, h]g (h | w)dh (8) and carrying out the analogous decomposition. The two decompositions will produce similar results as long as the slopes of the conditional wealth functions are similar. Researchers typically interpret (6) and (8) in terms of counterfactuals. They regard (4) as addressing the question: “what would happen to the mean earnings of Blacks if Black health status were to rise to White levels?” Likewise, they see (6) as assessing the impact on the mean earnings of Whites of a hypothetical downward shift of White health to levels characteristic of the Black population. In the analyses presented here, we report outcomes among Blacks (and Native Americans) when health (and other) characteristics of Blacks (and Native Americans) are standardized to levels observed empirically among Whites. This approach has the expositional advantage that Blacks and Native Americans are standardized to the same reference group (i.e., Whites). In addition, it seems conceptually consistent with the original motivation for examining health disparities, namely to address the inequity of worse outcomes among certain race/ethnicity groups in the population. As discussed above, (8) is frequently evaluated using regressions in which the relevant outcome (i.e., earnings) is the dependent variable, and the explanatory variables include an indicator for race and measures of health status. For reasons discussed in detail in Barsky et al. (2001), we take a different approach here. In particular, we avoid making any assumption about the functional form of the conditional expected earnings function in (4) by instead noting the relationship between the Black and White health distribution. By Bayes’ rule, g ( H | w) Y ( H ) g ( H | b) where the ‘weight’, Y (H ) , is given by Y (H ) Pr( w | H ) Pr( w) Pr(b | H ) Pr(b) (9) Thus, (8) can be evaluated by E w [Y | b] ³Y (h) E[Y | b, h]g (h | b)dh (10) which is the weighted expected value of Black earnings where the weights reflect differences in the health distributions between Black and White households. To evaluate (4), we can use the empirical Black earnings distribution, thereby avoiding a A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. APPENDIX: Page 7 functional specification for E >Y | b, h @ . This requires an estimate of the weighting function, Y (H ) . However, Y (H ) is a simple transformation of the propensity-to-score function that has received considerable attention in both the statistics and econometrics literature (Rosenbaum and Rubin, 1983, 1984; Heckman, Ichimura and Todd, 1998). As highlighted by DiNardo, Fortin and Lemieux, in addition to yielding information on mean effects of health disparities on earnings differences, the re-weighting method allows us to examine the effect of standardization on the entire distribution of outcomes. Using the weighting function (9) and focusing on the full Black earnings distribution k (Y | b) ³ f (Y | b, h) g (h | b)dh , where f (Y | b, H ) is the conditional earnings distribution given race and health, we can consider the following counterfactual earnings distribution, k w Y | b { ³ f Y | b, h g h | wdh ³Y (h) f Y | b, h g h | b dh (11) where the last equality is simply the Black earnings distribution re-weighted in such a way that the health distributions of Blacks and Whites are coincident. While the Blinder-Oaxaca decomposition focuses on the mean counterfactual, (11) expresses the distributional counterfactual. The results of these standardizations identify the extent to which differences in health observed between Blacks and Whites can account for race differences in earnings (or other labor market outcomes). As we discuss further below, however, we do not necessarily interpret this accounting as causal, in the sense that ameliorating the health differences would necessarily yield that amount of narrowing in earnings differences. Furthermore, to the extent that observed health differences do not fully account for differences in earnings between Blacks and Whites, we do not interpret the residual earnings differences as causally related to being Black in any meaningful way. At best, the remaining difference may be interpreted as an estimate of the importance of factors other than health that effect race differences in earnings. At minimum it as a measure of the average conditional (on health) gap in earnings between Blacks and Whites. A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. APPENDIX: Page 8 APPENDIX 3: Detailed Results In the text we presented results for selected age groups. Here we present results for a more complete set of age groups and labor market outcomes. For most outcomes, we examined respondents aged 25-64, because the outcomes were less salient or difficult to interpret for both younger and older groups. (For instance, employment rates are low for all race/ethnicity groups after age 65, while Social Security participation is close to universal.) For total household income post-tax/transfers, we also examined results for respondents aged 65 and older. Each table in the appendix corresponds to the main table with the same number and title. We note that Appendix Tables 4, 5, 6a and 6b contain results for outcomes that were not reported in the text. Specifically, Appendix Table 4 includes results for median weekly earnings; Table 5 contains results for participation in public assistance programs; Table 6a includes results for mean and median household income, excluding taxes and public transfers; and Table 6b includes results for median household income, net of taxes and public transfers. All Appendix Tables include information on age groups not reported in the text. A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. APPENDIX: Page 9 Appendix Table 1: Proportion with health limitations Male AGE 25-34 34-44 45-54 55-64 25-34 34-44 45-54 55-64 EDUCATION GROUPa White Whole sample Ed standardized to Whites HS dropouts HS grads Coll grads Whole sample Ed standardized to Whites HS dropouts HS grads Coll grads Whole sample Ed standardized to Whites HS dropouts HS grads Coll grads Whole sample Ed standardized to Whites HS dropouts HS grads Coll grads 0.054 -0.136 0.054 0.016 0.078 -0.198 0.084 0.033 0.109 -0.228 0.106 0.046 0.200 -0.318 0.184 0.095 Whole sample Ed standardized to Whites HS dropouts HS grads Coll grads Whole sample Ed standardized to Whites HS dropouts HS grads Coll grads Whole sample Ed standardized to Whites HS dropouts HS grads Coll grads Whole sample Ed standardized to Whites HS dropouts HS grads Coll grads 0.018 -0.072 0.015 0.002 0.029 -0.117 0.028 0.006 0.052 -0.149 0.043 0.012 0.130 -0.246 0.108 0.038 Female Native Native Black American White Black American HEALTH LIMITS KIND OR AMOUNT OF WORK 0.080 0.095 0.043 0.057 0.081 0.062 0.063 -0.047 0.055 0.151 0.140 0.113 0.109 0.117 0.066 0.083 0.042 0.049 0.073 0.020 0.038 0.018 0.022 0.042 0.125 0.172 0.063 0.094 0.131 0.100 0.154 -0.079 0.116 0.209 0.235 0.164 0.171 0.192 0.110 0.162 0.061 0.082 0.121 0.047 0.115 0.031 0.037 0.073 0.180 0.235 0.096 0.174 0.217 0.146 0.203 -0.144 0.190 0.254 0.313 0.204 0.269 0.300 0.149 0.209 0.084 0.135 0.173 0.075 0.124 0.044 0.061 0.143 0.285 0.350 0.165 0.295 0.317 0.240 0.321 -0.254 0.288 0.347 0.414 0.275 0.376 0.384 0.225 0.305 0.134 0.225 0.255 0.133 0.210 0.085 0.116 0.206 HEALTH PREVENTS WORK 0.043 0.037 0.017 0.031 0.040 0.029 0.020 -0.023 0.022 0.102 0.069 0.069 0.077 0.070 0.029 0.027 0.015 0.023 0.033 0.004 0.009 0.003 0.006 0.004 0.071 0.073 0.028 0.056 0.069 0.051 0.058 -0.043 0.054 0.146 0.131 0.113 0.126 0.134 0.054 0.063 0.025 0.043 0.055 0.016 0.029 0.007 0.013 0.022 0.118 0.139 0.056 0.126 0.144 0.086 0.110 -0.098 0.116 0.191 0.213 0.153 0.217 0.224 0.083 0.113 0.043 0.087 0.106 0.030 0.038 0.015 0.028 0.047 0.224 0.269 0.125 0.248 0.260 0.175 0.225 -0.205 0.222 0.291 0.355 0.236 0.332 0.343 0.155 0.204 0.093 0.173 0.181 0.069 0.083 0.047 0.068 0.116 a NOTE: "Ed standardized" includes whole sample, with distribution of education standardized to White levels SOURCE: Authors' calculations using 1990 US Census A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. APPENDIX: Page 10 Appendix Table 1: Proportion with health limitations (continued) Male AGE 25-34 34-44 45-54 55-64 25-34 34-44 45-54 55-64 EDUCATION GROUPa White Whole sample Ed standardized to Whites HS dropouts HS grads Coll grads Whole sample Ed standardized to Whites HS dropouts HS grads Coll grads Whole sample Ed standardized to Whites HS dropouts HS grads Coll grads Whole sample Ed standardized to Whites HS dropouts HS grads Coll grads 0.012 -0.047 0.009 0.002 0.016 -0.067 0.013 0.004 0.023 -0.066 0.019 0.007 0.044 -0.085 0.035 0.016 Whole sample Ed standardized to Whites HS dropouts HS grads Coll grads Whole sample Ed standardized to Whites HS dropouts HS grads Coll grads Whole sample Ed standardized to Whites HS dropouts HS grads Coll grads Whole sample Ed standardized to Whites HS dropouts HS grads Coll grads 0.019 -0.053 0.017 0.007 0.021 -0.068 0.020 0.009 0.030 -0.069 0.027 0.012 0.048 -0.083 0.041 0.019 Female Native Black American White Black HEALTH LIMITS MOBILITY 0.025 0.021 0.011 0.019 0.017 0.008 -0.014 0.061 0.039 0.045 0.047 0.016 0.015 0.009 0.014 0.005 0.011 0.003 0.004 0.035 0.036 0.017 0.031 0.025 0.029 -0.025 0.075 0.066 0.065 0.064 0.024 0.028 0.014 0.025 0.010 0.019 0.007 0.009 0.053 0.062 0.029 0.064 0.039 0.052 -0.051 0.087 0.091 0.074 0.106 0.036 0.051 0.022 0.046 0.015 0.026 0.010 0.018 0.090 0.099 0.054 0.115 0.071 0.086 -0.098 0.118 0.129 0.101 0.149 0.060 0.075 0.040 0.085 0.030 0.044 0.023 0.040 HEALTH LIMITS PERSONAL CARE 0.067 0.050 0.016 0.066 0.055 0.026 -0.057 0.108 0.086 0.050 0.111 0.058 0.036 0.015 0.060 0.031 0.038 0.007 0.030 0.075 0.056 0.019 0.074 0.061 0.046 -0.064 0.120 0.088 0.064 0.120 0.066 0.052 0.017 0.068 0.035 0.024 0.008 0.034 0.094 0.073 0.030 0.099 0.078 0.060 -0.087 0.128 0.111 0.068 0.138 0.079 0.058 0.025 0.085 0.044 0.033 0.012 0.046 0.123 0.106 0.049 0.127 0.103 0.091 -0.112 0.150 0.138 0.087 0.157 0.096 0.078 0.038 0.101 0.057 0.053 0.021 0.062 a Native American 0.023 0.010 0.035 0.021 0.005 0.037 0.031 0.070 0.029 0.021 0.070 0.058 0.103 0.056 0.023 0.116 0.100 0.151 0.079 0.076 0.048 0.035 0.072 0.043 0.017 0.052 0.045 0.091 0.042 0.034 0.072 0.061 0.105 0.056 0.034 0.100 0.090 0.124 0.072 0.087 NOTE: "Ed standardized" includes whole sample, with distribution of education standardized to White levels SOURCE: Authors' calculations using 1990 US Census A revised final version of this paper will appear in the September, 2003 issue of Milbank Quarterly. EDUCATION GROUPd NOTE: Linear regression, with dependent variable being the natural log of average weekly earnings, among those with non-zero earnings in 1989, weighted by the number of weeks worked NOTE: Pooled sample includes all levels of education; other rows are restricted to respondents in respective categories of educational attainment NOTE: Represents largest standard error estimate for any cell within the column SOURCE: Authors' calculations using 1990 US Census e age and educational attainment (within education category, as appropriate). Models are stratified by race/ethnicity and gender. NOTE: Logistic regression, with dependent variable that is 1 if respondent was working for pay on April 1, 1990 d c LOG WEEKLY EARNINGSc Men Women Native Native Black American White Black American -0.25 -0.15 -0.26 -0.21 -0.15 -0.36 0.07 -0.30 -0.29 -0.13 -0.20 -0.23 -0.27 -0.19 -0.15 -0.22 -0.43 -0.22 -0.22 -0.24 -0.25 -0.23 -0.25 -0.27 -0.28 -0.33 -0.31 -0.28 -0.28 -0.35 -0.21 -0.20 -0.24 -0.27 -0.22 -0.30 -0.25 -0.25 -0.22 -0.52 -0.25 -0.18 -0.26 -0.26 -0.18 -0.27 -0.30 -0.27 -0.25 -0.25 -0.23 -0.11 -0.24 -0.24 -0.16 -0.33 -0.14 -0.30 -0.35 -0.08 -0.24 -0.32 -0.22 -0.18 -0.44 -0.26 -0.25 -0.18 -0.15 -0.20 -0.20 -0.42 -0.22 -0.18 -0.40 -0.30 -0.07 -0.34 -0.32 -1.28 0.07 0.29 0.03 0.07 0.26 NOTE: "Poor health" represented as a dummy variable that is 1 if respondent's health limits or prevents work; other explanatory variables are b a Pooled sample HS dropouts 25 to 34 HS grads Coll grads Pooled sample HS dropouts 35 to 44 HS grads Coll grads Pooled sample HS dropouts 45 to 54 HS grads Coll grads Pooled sample HS dropouts 55 to 64 HS grads Coll grads Maximum Standard Errore AGE Women Native Native White Black American White Black American White -2.32 -2.36 -1.54 -1.32 -1.95 -1.33 -0.33 -2.38 -2.42 -1.54 -1.53 -2.05 -1.19 -0.37 -2.33 -2.34 -1.54 -1.33 -1.92 -1.41 -0.31 -1.98 -2.08 -1.98 -0.96 -1.97 -0.75 -0.32 -2.65 -2.62 -1.89 -1.62 -2.47 -1.77 -0.32 -2.81 -2.83 -2.05 -1.95 -2.43 -1.94 -0.36 -2.65 -2.54 -1.84 -1.65 -2.47 -1.75 -0.29 -2.44 -2.51 -2.10 -1.16 -2.50 -1.73 -0.38 -2.86 -3.02 -2.43 -1.88 -2.81 -2.32 -0.31 -3.13 -3.27 -2.26 -2.16 -2.77 -2.28 -0.30 -2.78 -2.85 -2.58 -1.83 -2.80 -2.37 -0.29 -2.63 -2.77 -2.37 -1.62 -3.07 -2.45 -0.38 -2.23 -2.84 -2.49 -1.82 -2.59 -2.06 -0.25 -2.68 -3.13 -2.82 -2.17 -2.72 -2.10 -0.22 -2.09 -2.53 -2.43 -1.70 -2.48 -2.17 -0.22 -1.74 -2.20 -1.30 -1.51 -2.29 -1.99 -0.36 0.05 0.18 0.58 0.04 0.14 0.50 0.02 Men EMPLOYEDb Appendix Table 2: Parameter estimate for the effect of health limitation on labor market outcomesa APPENDIX Page 11 NOTE: Logistic regression, with dependent variable that is 1 if respondent received any income from Social Security (SSDI or ESRD) in 1989 NOTE: Pooled sample includes all levels of education; other rows are restricted to respondents in respective categories of educational attainment NOTE: Represents largest standard error estimate for any cell within the column SOURCE: Authors' calculations using 1990 US Census e age and education (within education category, as appropriate). Blank cells due to low participation rates plus limited sample size. NOTE: Logistic regression, with dependent variable that is 1 if respondent received any public assistance (AFDC, SSI, or other) in 1989 d c b NOTE: "Poor health" represented as a dummy variable that is 1 if respondent's health limits or prevents work; other explanatory variables are a Appendix Table 3: Parameter estimate for the effect of health limitation on receipt of income from public transfer programsa ANY INCOME FROM SOCIAL SECURITYc ANY INCOME FROM PUBLIC ASSISTANCEb Men Women Men Women EDUCATION Native Native Native Native AGE GROUPd White Black American White Black American White Black American White Black American 2.95 2.69 2.07 1.93 1.25 1.11 3.12 3.19 3.26 2.51 1.99 1.70 Pooled sample 2.83 2.62 2.24 1.66 1.02 0.87 3.22 2.99 3.37 2.23 1.67 1.59 25 to HS dropouts 34 2.98 2.75 1.93 2.06 1.36 1.27 3.13 3.32 3.34 2.60 2.20 1.76 HS grads 3.38 2.69 -2.66 2.64 0.58 2.81 3.13 2.39 2.75 2.46 -Coll grads 2.83 2.51 1.77 2.40 1.80 1.47 3.34 3.22 3.08 2.45 2.01 1.79 Pooled sample 2.76 2.52 1.44 2.21 1.59 1.34 3.63 3.36 3.28 2.15 1.61 1.37 35 to HS dropouts 44 2.81 2.46 1.93 2.47 1.91 1.45 3.32 3.15 2.93 2.52 2.22 1.83 HS grads 3.14 3.09 3.52 2.74 2.57 2.65 3.08 3.15 3.55 2.73 2.66 3.39 Coll grads 2.86 2.61 2.12 2.87 2.12 1.85 3.63 3.14 3.55 2.70 2.09 1.69 Pooled sample 2.88 2.62 2.20 2.62 1.94 1.50 3.73 2.99 3.38 2.42 1.66 1.24 45 to HS dropouts 54 2.85 2.57 1.96 3.06 2.38 2.35 3.62 3.30 3.93 2.83 2.46 2.32 HS grads 2.85 2.77 2.55 3.00 2.41 -3.47 3.31 2.47 2.76 3.07 2.64 Coll grads 2.01 1.96 1.46 2.41 1.97 1.63 2.05 1.63 1.56 1.31 1.08 1.41 Pooled sample 2.12 1.98 1.51 2.35 1.86 1.46 2.01 1.56 1.28 1.08 0.93 1.03 55 to HS dropouts 64 1.88 1.90 1.37 2.48 2.26 2.02 2.10 1.76 2.06 1.45 1.35 1.92 HS grads 1.88 2.37 -2.26 1.93 3.18 1.85 1.83 1.62 1.37 1.29 5.30 Coll grads e 0.10 0.47 0.82 0.10 0.29 1.37 0.09 0.38 1.55 0.09 0.29 1.30 Maximum Standard Error APPENDIX Page 12 0.900 0.703 0.758 0.717 0.765 0.912 0.735 0.786 0.772 0.812 0.885 0.696 0.756 0.760 0.798 0.654 0.486 0.554 0.558 0.604 0.900 0.729 0.778 0.744 0.783 0.912 0.764 0.813 0.789 0.823 0.885 0.755 0.806 0.796 0.825 0.654 0.545 0.597 0.590 0.615 White (actual) age Native American Black REWEIGHTED BYa 0.441 0.491 0.499 0.527 0.678 0.733 0.721 0.756 0.440 0.731 0.778 0.746 0.785 0.697 0.655 0.709 0.664 0.712 0.745 0.719 Black 0.342 0.407 0.396 0.450 0.566 0.644 0.621 0.684 0.440 0.637 0.693 0.664 0.711 0.697 0.567 0.646 0.580 0.653 0.745 0.719 Native American Women $612 $693 $614 $694 $636 $716 $638 $717 $835 $599 $664 $601 $664 $907 $464 $498 $463 $497 $819 Mean $595 Men $476 $556 $477 $557 $538 $620 $538 $620 $662 $496 $558 $502 $558 $744 $372 $403 $372 $403 $682 Median $517 Black $670 $745 $683 $759 $675 $738 $674 $733 $835 $606 $666 $614 $670 $907 $488 $551 $488 $554 $819 Mean $595 $496 $538 $496 $538 $538 $603 $541 $620 $662 $496 $538 $500 $558 $744 $372 $414 $372 $414 $682 Median $517 Native American $430 $462 $435 $464 $466 $499 $469 $499 $397 $471 $504 $472 $504 $440 $386 $408 $386 $408 $453 Mean $408 a $310 $342 $310 $344 $375 $414 $382 $414 $331 $393 $417 $393 $419 $372 $310 $333 $313 $333 $382 $0.70 $388 $438 $379 $429 $397 $428 $400 $430 $397 $404 $441 $408 $445 $440 $320 $356 $319 $356 $453 Mean $408 $278 $323 $284 $324 $314 $346 $318 $349 $331 $310 $333 $310 $338 $372 $269 $299 $269 $301 $382 Median $364 Native American Women Median $364 Black WEEKLY EARNINGSc 1.6E-05 1.8E-04 1.2E-05 1.5E-04 $0.07 $0.83 $0.05 NOTE: Table shows outcomes for Blacks/Native Americans, standardizing for race/ethnicity differences in various characteristics "White" row represents actual level of each outcome observed among Whites in the age category. "Age" indicates that distribution of age among Blacks/Native Americans is standardized to the White distribution "Education" indicates that distribution of education among Blacks/Native Americans is standardized to the White distribution "Health" indicates that distribution of work limitation among Blacks/Native Americans is standardized to the White distribution b NOTE: Outcome is 1 if the respondent was working for pay on April 1, 1990 and 0 otherwise c NOTE: Outcome is mean and median weekly earnings, among those with non-zero earnings in 1989, weighted by weeks worked d NOTE: Represents largest standard error estimate for any cell within the column SOURCE: Authors' calculations using 1990 US Census age, health age, health, ed Maximum Standard Errord 55 to 64 age, education age age, health age, health, ed White (actual) 45 to 54 age, education age age, health age, health, ed White (actual) 35 to 44 age, education age age, health age, health, ed White (actual) 25 to 34 age, education AGE Men PROPORTION EMPLOYEDb Appendix Table 4: Simulated labor force outcomes for Blacks/Native Americansa APPENDIX Page 13 REWEIGHTED BYa Native American 0.017 0.052 0.037 0.045 0.035 0.015 0.058 0.042 0.045 0.034 0.015 0.074 0.051 0.050 0.040 0.022 0.094 0.055 0.069 0.047 9.7E-05 Black 0.040 0.168 0.131 0.162 0.129 0.027 0.116 0.089 0.106 0.085 0.022 0.105 0.078 0.083 0.068 0.030 0.138 0.103 0.101 0.083 7.1E-06 Native American 0.040 0.149 0.111 0.140 0.106 0.027 0.115 0.090 0.100 0.082 0.022 0.112 0.074 0.081 0.058 0.030 0.146 0.102 0.107 0.079 9.1E-05 Black 0.012 0.015 0.012 0.012 0.011 0.018 0.028 0.022 0.021 0.019 0.029 0.047 0.036 0.033 0.030 0.189 0.193 0.166 0.173 0.158 1.3E-05 Native American 0.012 0.015 0.012 0.011 0.011 0.018 0.031 0.025 0.018 0.017 0.029 0.047 0.040 0.025 0.025 0.189 0.215 0.194 0.182 0.166 1.5E-04 NOTE: Outcome is 1 if the respondent received any income from Social Security in 1989 and 0 otherwise NOTE: Represents largest standard error estimate for any cell within the column SOURCE: Authors' calculations using 1990 US Census Black 0.011 0.018 0.015 0.017 0.015 0.018 0.030 0.025 0.026 0.024 0.024 0.043 0.037 0.033 0.030 0.210 0.210 0.194 0.189 0.180 1.0E-05 Native American 0.011 0.020 0.016 0.018 0.015 0.018 0.029 0.027 0.024 0.022 0.024 0.042 0.034 0.030 0.026 0.210 0.218 0.211 0.186 0.182 1.3E-04 ANY INCOME FROM SOCIAL SECURITYc Men Women NOTE: Outcome is 1 if the respondent received any income from public assistance in 1989 and 0 otherwise d c Black 0.017 0.040 0.030 0.033 0.027 0.015 0.046 0.032 0.036 0.029 0.015 0.052 0.036 0.038 0.032 0.022 0.071 0.048 0.056 0.044 7.0E-06 NOTE: Simulations are analogous to those in Appendix Table 4 b a White (actual) age 25 to age, education 34 age, health age, health, ed White (actual) age 35 to age, education 44 age, health age, health, ed White (actual) age 45 to age, education 54 age, health age, health, ed White (actual) age 55 to age, education 64 age, health age, health, ed Maximum Standard Errord AGE Appendix Table 5: Simulated participation in transfer programs for Blacks/Native Americansa ANY INCOME FROM PUBLIC ASSISTANCEb Men Women APPENDIX Page 14 Median $32,253 $15,717 $18,707 $16,127 $19,014 $40,854 $22,577 $26,878 $23,652 $26,878 $38,000 $20,923 $25,211 $22,577 $25,937 $20,427 $9,931 $13,976 $12,041 $15,094 $7.82 Native American Mean Median $37,005 $32,253 $20,864 $16,127 $24,619 $20,427 $21,404 $17,146 $24,965 $20,691 $47,929 $40,854 $28,355 $22,577 $32,344 $26,878 $29,497 $23,749 $33,092 $27,308 $46,443 $38,000 $26,667 $19,100 $31,496 $24,526 $28,784 $21,502 $33,064 $25,802 $29,740 $20,427 $15,964 $8,856 $19,610 $12,984 $18,071 $11,476 $21,453 $16,000 Women income, & income from estates/trusts) NOTE: Outcome is gross household income in 1989 from non-asset sources (earned income & benefits; excludes interest, dividends, royalties, rental NOTE: Represents largest standard error estimate for any cell within the column SOURCE: Authors' calculations using 1990 US Census c $0.65 Mean $37,005 $20,140 $23,228 $20,511 $23,378 $47,929 $28,226 $32,339 $29,000 $32,665 $46,443 $26,813 $30,971 $28,478 $31,804 $29,740 $16,730 $20,079 $18,512 $21,089 Black NOTE: Simulations are analogous to those in Appendix Table 4, but all models also account for race/ethnicity differences in marital status b a Appendix Table 6a: Household Income before taxes & transfersa,b Men Black Native American AGE REWEIGHTED BYa Mean Median Mean Median $35,238 $30,860 $35,238 $30,860 White (actual) $22,725 $18,910 $20,365 $16,219 age 25 to $26,097 $21,502 $24,274 $20,427 age, education 34 $23,225 $19,352 $20,882 $17,202 age, health $26,279 $21,723 $24,475 $20,427 age, health, ed $48,761 $41,929 $48,761 $41,929 White (actual) $32,637 $28,813 $28,887 $24,727 age 35 to $38,402 $34,403 $34,158 $30,000 age, education 44 $33,718 $30,103 $30,414 $26,301 age, health $38,862 $34,403 $35,415 $31,178 age, health, ed $52,719 $44,079 $52,719 $44,079 White (actual) $34,979 $31,178 $30,895 $25,802 age 45 to $42,059 $37,629 $36,767 $32,253 age, education 54 $36,656 $32,253 $33,332 $28,938 age, health $42,873 $38,328 $38,287 $33,515 age, health, ed $40,650 $32,253 $40,650 $32,253 White (actual) $26,352 $20,280 $23,368 $17,202 age 55 to $33,555 $27,202 $29,223 $24,000 age, education 64 $28,066 $22,102 $26,157 $20,427 age, health $34,373 $28,277 $31,171 $26,340 age, health, ed c Maximum Standard Error $1.05 $10.81 APPENDIX Page 15 $24,820 $15,976 $18,210 $16,285 $18,380 $33,156 $23,475 $27,391 $24,183 $27,654 $34,632 $24,748 $29,544 $25,880 $30,008 $27,199 $18,349 $23,365 $19,644 $23,970 $18,007 $11,703 $15,401 $12,257 $15,686 $12,965 $8,400 $10,198 $8,575 $10,380 $27,122 $18,369 $20,723 $18,714 $20,844 $36,281 $25,580 $29,439 $26,291 $29,737 $38,545 $27,083 $31,754 $28,154 $32,261 $31,607 $22,024 $26,839 $23,110 $27,345 $21,881 $15,103 $19,361 $15,678 $19,656 $15,947 $11,056 $13,619 $11,354 $13,835 White (actual) age 25 to 34 age, education age, health age, health, ed White (actual) age 35 to 44 age, education age, health age, health, ed White (actual) age 45 to 54 age, education age, health age, health, ed White (actual) age 55 to 64 age, education age, health age, health, ed White (actual) age 65 to 74 age, education age, health age, health, ed White (actual) Men $11,668 $13,909 $11,933 $14,154 $15,947 $14,710 $17,378 $15,424 $18,154 $21,881 $20,193 $24,110 $21,911 $25,257 $31,607 $20,193 $24,110 $21,911 $25,257 $38,545 $23,150 $26,680 $24,115 $27,451 $36,281 $16,862 $19,530 $17,212 $19,660 $27,122 $8,610 $9,600 $8,803 $9,684 $12,965 $11,460 $14,359 $11,986 $14,863 $18,007 $16,844 $21,125 $18,703 $22,338 $27,199 $16,844 $21,125 $18,703 $22,338 $34,632 $20,780 $24,080 $21,866 $25,009 $33,156 $14,596 $17,279 $15,000 $17,454 $24,820 Native American Mean Median $6,938 $7,950 $7,112 $8,063 $9,955 $10,236 $12,109 $10,806 $12,455 $16,627 $15,438 $17,816 $16,634 $18,486 $25,221 $21,396 $24,192 $22,485 $24,729 $34,407 $22,708 $25,483 $23,233 $25,705 $35,837 $17,117 $19,195 $17,381 $19,304 $28,583 Mean a $0.93 $17.21 $0.36 NOTE: Simulations are analogous to those in Appendix Table 4 b NOTE: Outcome is net household income in 1989 from non-asset sources, subtracting income, property, FICA and Social Security taxes, and adding transfers from Social Security and public assistance c NOTE: Represents largest standard error estimate for any cell within the column SOURCE: Authors' calculations using 1990 US Census age 75 and age, education over age, health age, health, ed Maximum Standard Errorc Median Mean REWEIGHTED BY AGE Black Appendix Table 6b: Household Income after taxes & transfersa,b Black $5,173 $5,800 $5,268 $5,899 $7,250 $7,024 $8,471 $7,435 $8,832 $13,186 $11,239 $14,006 $12,709 $14,893 $20,615 $17,530 $20,735 $18,738 $21,207 $30,326 $19,190 $22,050 $19,793 $22,285 $32,477 $14,204 $16,141 $14,473 $16,245 $26,142 Median Women $5.55 $7,668 $8,572 $7,886 $8,816 $9,955 $12,175 $13,810 $12,815 $14,168 $16,627 $15,392 $17,980 $16,750 $19,165 $25,221 $21,546 $24,692 $22,890 $25,677 $34,407 $23,006 $25,663 $23,774 $26,169 $35,837 $17,863 $20,329 $18,242 $20,581 $28,583 $5,646 $6,271 $5,764 $6,406 $7,250 $8,647 $10,687 $9,313 $11,000 $13,186 $11,300 $14,568 $13,411 $16,065 $20,615 $16,842 $20,305 $18,447 $21,125 $30,326 $19,393 $22,276 $20,265 $22,790 $32,477 $14,980 $17,618 $15,393 $17,855 $26,142 Native American Mean Median APPENDIX Page 16