The social gradient in self-reported health: gender, age and race/ethnic specific results March 2003 Jacob Nielsen Arendt M. Sc., Ph. d. AKF, Institute of Local Government Studies, Nyropsgade 37, 1602 Copenhagen V, Denmark, Phone: +45 33 14 59 49 + 75. Fax: +45 33 15 28 75. E-mail: [email protected] Key words: Self-reported Health, Socio-economic status, Demographic heterogeneity The social gradient in self-reported health: gender, age and race/ethnic specific results 2 ABSTRACT New evidence on social gradients in self-reported health is provided by exploration of the relative importance of education and income for gender, age and race specific groups on US data. We stress that the educational gradient exist simultaneously with an income gradient, but dominate this in all age groups from 25-34 to 65+. In contrast to many earlier results, education gradients are larger for women than for men, and income gradients the same. Education gradients also exist in populations of non-whites only, but are different in shape and size from gradients among whites. Differences in education and income between whites and non-whites explain only 33-50% of their differences in self-reported health. Relative gradients are smaller for the oldest and largest for the youngest age group. 3 INTRODUCTION That socioeconomic status (henceforth SES) is related to mortality was noted as early as in the mid-1800s in Britain (Macintyre 1997). Despite tremendous decreases in mortality over the 20th century, differences in mortality related to SES, education in particular, seem to be persistently large (Duuleep 1989; Kitagawa and Hauser 1968; Rogot et al. 1992) and some evidence indicates that SES related differences have widened over the past decades (Feldman et al. 1989, Pappas et al. 1993). This paper has two main aims. The first aim is to explore the heterogeneity of the gradient within subgroups of the US population. In spite of an increasing understanding of determinants of the gradient, for instance through exploration of psychosocial pathways (e.g. Marmot et al. 1998), there is still considerable uncertainty about the size and importance of the gradient for different population groups. To be able to take action towards reducing the gradient, this is important knowledge which complements research on deeper determinants of the gradient. The second aim is motivated by the fact that evidence on SES related differences in health based on other health measures than mortality risk, is dispersed. This does not make it less important, as many differences in health are more related to quality rather than quantity aspects of life. In this paper we shed light on these issues by providing new evidence on SES related health gradients within different population groups using self-reported health status (henceforth SRH) from the 1999 March Supplement to the Current Population Survey (CPS), provided by the U.S. Census Bureau. The population groups we focus on are gender, age and race/ethnicity. Attention is paid to which of education or income is the most relevant marker of SES for these groups, exploring different statistical specifications as well reviewing related findings. The paper is organized as follows. In the next section we review main empirical findings. The third section contains a description of 4 our data followed by a section containing the empirical results. The final section concludes the paper. PREVIOUS FINDINGS Numerous studies of SES related differences in health exist, see e.g. Macintyre (1997) or Preston and Taubman (1994) for reviews. However, few studies examine results with simultaneous SES indicators or interactions with demographics. When both income and education are included as determinants of health, they have been found to have simultaneous large effects (studies using SRH: Kawachi et al. (1999); Marmot et al. (1998); Soobader and LeClere (1999); Taubman and Rosen (1982). Studies using mortality: e.g. Deaton and Paxson (1999); Elo and Preston (1996)). Among the SRH studies only Taubman and Rosen (1982) and Marmot et al. (1998) provide discussions of education effects, the former in a sample of people aged 58-63 only. With respect to demographic differences in SES gradients, studies using mortality data have reported a tendency for education and income gradients to be larger for men than for women (Deaton and Paxson 1999; Elo and Preston 1996; Pappas et al. 1993; Rogot et al. 1992). In addition, both education and income gradients are often found to diminish across age groups (Christenson and Johnson (1995) find a continued decrease from age 25 in education gradients; Deaton and Paxson (1999) find that income effects peak for age group 40-54. Elo and Preston (1996), Feldman et al. (1989) and Rogot et al. (1992) all find that education gradients decrease after the age of 65). Lauderdale (2002) on the other hand finds increasing educational gradients with age within cohorts, but specualte that they are explained by period effects. The evidence is more mixed on gradients in SRH, but a picture is emerging that resembles findings on mortality. A majority of studies find that male health gradients are larger than female health gradients (Arber 1997; Cavelaars et al. 1998; Marmot et al. 1998). Preston and Taubman (1994) present evidence that the education gradient in SRH remains constant until age 65 in the 5 US, after which it decreases. Deaton and Paxson (1998) find that the correlation between income and SRH peaks around age 60 in the US. A good deal of attention has also been given to the role that race or ethnicity plays in the relationship between SES and health, see for instance Deaton and Paxson (1998) or the reviews and thorough discussions in House and Williams (2000) and Smith and Kington (1997). The latter mention a number of studies, where income differences explain large parts, sometimes all, of the differences in health among whites and blacks. Race has also been mentioned as an important confounder in the literature studying possible effects of income inequality on health, see e.g. Deaton and Lutbotsky (2002). METHODS We use the March 1999 Supplement to the CPS data published by the U.S. Census Bureau. This is a survey data set, which covers information on 132,324 individual and 65,377 household records, forming a representative sample of the civilian non-institutionalized population of U.S aged above 151. We use both education and income as markers for SES, as they might convey different relationships. In the CPS data, education is reported as highest grade completed, and income as household income, which refers to the year prior to collection of other individual characteristics. Because we use household income in individual analyses, we divide household income by an adult equivalence scale, counting individuals below 18 years as half of those aged 18 or more. We compared this equivalence scale with others, allowing for economies of scales in household size, and the results did not depend to a large degree on the scale used. The health measure applied in our analyses is the answer to the question: would you say that your health in general is excellent, very good, good, fair or poor? Observations for individuals under 25 are deleted (23.831 men and 24.273 women) to focus on individuals who have finished 1 Documentation is found at: http://www.bls.census.gov/cps/ads/1999/smethdoc.htm (October 2002). 6 their education. In addition, 17 observations with no household weight are deleted. We end up with 39.584 men and 44.615 women2. We will sometimes refer to SRH as health out of linguistic convenience. It has been argued that the use of self-rated health, rather than mortality or measures of morbidity, might pose problems. Particular attention has been paid to whether people out of work underreport their health to justify that they do not have a job, but the evidence is mixed (e.g. Butler et al. 1987, Dwyer and Mitchell 1999). A more profound problem is perhaps what is measured by the variable. This is studied e.g. by Idler (1994). She and several others have found that the incidence of poor or fair health is a good predictor of mortality and functional disability and seems to be a good summary measure of overall health status. Moreover, using SRH rather than, say, mortality, we might capture determinants of poor health at an earlier life stage as well as identify important health-gradients, which are not mortal. Some of the problems of using SRH is sought solved in Sadana et al. (2002), but their approach still needs to stand further testing. The statistical analyses are conducted by means of probit estimations controlling for age, race, marital status, whether living in inner city areas and US state of living. The probit model is estimated with maximum likelihood using STATA 6.0. For categorical variables, we present differences in the predicted probabilities between given groups and reference groups, and marginal effects on predicted probabilities for other variables. They are all evaluated at means of explanatory variables, and if not marked with stars (*), their corresponding probit coefficients are significant at a 1% level. The probit model, variable selection and specification of functional form with respect to the relationship between education, age, income and health are described in appendix B. 2 In previous analyses, mainly to limit reverse causality from income and prior health, we focused on individuals in work, who have not left a job due to prior health problems. These selections may however substantially distort both education and income gradients. The results for this sub sample are available upon request. 7 RESULTS In all analyses, the final CPS March supplemental weight is used as population weight. The means and standard deviations of important variables in our data are reported in Table 1 for men and women separately. The most frequent health outcome is the second best outcome, ‘very good health’. 15% of all men and 16.8% of all women report having fair or poor health. The columns labelled “Share PH”, show the share with poor or fair health, which we henceforth just refer to as poor health. They illustrate that there are substantial differences in poor health across education groups, which range from 37% for men and 42% for women with only elementary schooling to 7% for those with a post college degree. The rows just below illustrate that the share with poor health varies across income levels as well, the ratio of those with poor health being six times higher for those below the 2nd income decile, when compared to those above the 8th decile. The other rows show the size of other individual groups, as well as their share with poor health, which varies substantially across for instance racial/ethnic groups. Overall gender specific gradients in SRH The top of Table 2 shows the results for men. Results for all age and racial groups are shown in the last column. The rows show that differences in poor health probabilities between those with some high school or with a high school diploma, which is the reference category, and those with other educational levels, are significant at a 1% level. The poor health difference between those with some high school and those without is 6.1 percentage point and the advantage of a post college degree is 5.2 point3. A test of equality between education levels is rejected, that is, a graded relationship between education and health exist throughout the education distribution. We found that the log of household income gave a good fit, see appendix B, which reveals that the change in health with an associated change in income, phases out as the initial income level 3 Without any controls but age, these two effects are 10.2 and 8.8 point respectively. 8 increases (sometimes referred to as “the Preston Curve”, see Preston (1975)). Increasing mean income by one standard deviation of log income, reduces the probability of poor health by 0.044 percentage point. The mean log income corresponds to 18,948$ and one standard deviation above the mean to 44,696$. The estimated income effect corresponds to the effect of 8.8 years of age (the income effect divided by the age effect). Comparatively, the effect of not having completed high school and that of having completed more than a college degree corresponds to 11.1 and 9.7 years of age respectively, when compared to high school graduates. The included demographic variables as well as US states are highly significant. For later reference we stress that Asian and black men have approximately a 6 point higher probability of poor health than white men. Turning to the education and income gradients for women shown in the bottom of the table, we first note that the education groups included are different than those included for men. This is because a better fit is obtained when those with some college are included in the reference group, and those with some high school are not. Educational differences in SRH are all significant and compared to the results for men, the overall gradient (no high school versus post college) is larger. This is due to an especially high probability of poor health for those who have no high school, which is 11.9 point higher than the probability of poor health for the reference group. The absolute advantage of those with a post college degree compared to the reference group is comparable to that observed for men4. Demographic groups have a significant effect on SRH, again stressing that Blacks and Indians have a much higher higher probability of poor health than white women. The income effect is close to that for men. Calibrating results to age effects, one standard deviation of log income corresponds to 9.1 years of age, whereas no high 4 With age as the only control, the education related differences in SHR are 16.7 and 7.9 point for no high school and post college respectively. 9 school and a post college degree correspond to 24.6 and 9.7 years of age respectively, relative to the reference group. Age specific gradients in SRH In this section we compare health gradients across age groups. The age groups used are 25-34, 35-44, 45-54, 55-64 and 65+, and results are presented in the first five columns of Table 2. The large number of observations in the CPS data implies that we obtain reasonable sample sizes for each group. Nevertheless, many of the, especially demographic, variables are insignificant. For clarity these results are not discussed in detail, since we will focus on the relative effects of education and income between the age groups. To obtain an overview of the relative effects across age groups, we have gathered them in Table 3. The numbers presented are the absolute effects from Table 2 divided by the predicted probability of poor health evaluated at mean covariates. The top of the table shows relative education and income effects for men. The income effects are for one additional standard deviation of log income and the education effects are compared to the reference categories used in Table 2. As an example of how to read the numbers, the no high school-high school differential for men of age 25-34 years is 1.031. This is obtained as the absolute differential in the probability of poor health between these education groups, reported in Table 2 to be 0.033, divided by the predicted probability in this age group, reported in Table 2 to be 0.032. The effects vary a lot, many with no clear pattern, but the no high school and the income effects seem to be decreasing across age groups (at least after age 35-44). When looking at overall educational differences, calculated as the relative difference between those with no high school diploma and those with a post college degree, these are also decreasing across age groups. The lower part of the table shows the relative effects for women. For women, the table shows that the relative effect of having a post college degree as well as the relative income effect, seem 10 to be decreasing across age groups, again at least after age 35-44 with respect to income. For women, the overall educational gradient is not decreasing throughout all age groups, as was the case for men, but it is highest for the youngest age group, those aged between 25 and 34, and lowest for oldest, aged more than 64. Race specific gradients in SRH Our results in the previous section did indicate that there are substantial health differences between racial or ethnic groups, even when education and income is accounted for. We exploit that the CPS sample is among the few US data sets, which is large enough to allow for race specific investigations of gradients in health. The variable “race” in the CPS sample identifies whites, blacks, American Indians/Eskimo and Asians/Pacific islander. We explore education and income gradients for the three non-white racial groups, estimating the same probit model as in the previous section. Results are presented in Table 4. The table shows that non-white men with no education have particularly poor health, and that the overall the relative (to race specific probability of poor health) education and income gradients are of roughly similar magnitude for non-white men as for white. However, absolute differences in SRH between educational levels above high school are small, and only the high school-no high school differential is significant. For women, there are significant gradients both with respect to education and income, and both in absolute and relative terms, they are larger than the corresponding gradients for whites. Calibrated to age effects, one standard deviation of log income corresponds to 8.5 and 9.0 years of age for men and women respectively, whereas, relative to education reference groups, the no high school health effect corresponds to 11.0 and 17.2 years of age and that of a post college degree to 4.3 and 10.2 years of age, also for men and women respectively. Because a large part of non-whites have less education and earn less than whites, it is interesting to explore how large a part of racial differences in health is explained by income and education differences. As in Deaton and Paxson (1998), we analyse this using the conditional distribution 11 of poor health for non-whites given their characteristics, and replace education and income means for non-whites by that for whites. The predicted probability of poor health is 0.16 evaluated at means for non-white men, and 0.10 for white men. When replacing non-whites education and income with that of whites, the probability of poor health for non-whites decreases to 0.14. For women, the probability of poor health is 0.171 for non-whites and 0.123 for whites. Replacing non-whites education and income by that of whites yields a probability of poor health for non-whites of 0.147. Therefore around a third of the difference in poor health probabilities between whites and non-whites for men and half for women can be explained by differences in education and income. DISCUSSION This study documents a number of important findings that add to the description of the well established gradient in health. Indeed, we find that large education and income related differences in health exist simultaneously and that both are graded. In particular, differences in health between those with and those without a high school diploma are pervasive. This result persists throughout the analyses. The latter result is the main reason for two key findings. The first is that the overall education gradients (no high school versus more than college) seem to dominate income gradients (measured as the difference in SRH related to a one standard deviation difference in income) in the total sample, as well as in any age group from age 25 to 65+. Furthermore, overall educational differences in health are larger for women than for men, particularly because many non-educated women have poor health. In addition, the income gradients are of similar size for women and men. These findings are in contrast to common findings. With respect to age specific gradients, income gradients seem to shrink after age 35. Overall relative education gradients are also shrinking across age groups for men, and are smallest in the 12 oldest age group (65+) for women. The reasons for the decrease are however different for men and women, namely mainly due to a decrease in the high school “effect” for men, and a decrease in the post college “effect” for women. SES gradients may change over the life cycle either because past experiences of disadvantages accumulate or because the impact of SES on health changes. We must however have in mind that we cannot distinguish these lifecycle explanations from cohort specific differences. In particular, recent findings suggest that SES gradients in health have increased for new cohorts over the last decades (Feldman et al. 1989; Pappas et al. 1993), which would imply that gradients in a cross-section would decrease with age. However, the fact that income gradients are “decreasing” with age for both men and women makes it unlikely, but not impossible, that it reflects that gradients have been increasing over the past decades, because this has mainly been observed for men (Feldman et al. (1989); Pappas et al. (1993)). However, there is yet no consensus on how education gradients develop with time and age and no matter what scenario is true (age, period or cohort), the large relative gradients for young persons are alarming, and in fact the more so if they reflect that gradients are larger for new cohorts. Finally, we find no indication of the results being confounded by racial differences, since the SES gradients exist also within non-white groups, although they are differently shaped. Both education and income gradients are larger for non-white women than for white women. Our results suggest that differences in education and income between whites and non-whites explain 33-50 % of health differences between these groups, which is somewhat less than what has been found in many previous studies (see e.g. Smith and Kington 1997). When it comes to interpretation of these differences, it is important to have in mind that the results do not convey anything about causality. SES related differences in health may be due causality in both directions as well as to a third unmenasured variable common to both the determination of SES and health (indirect selection). This is still highly debated as seen e.g. in 13 the review of findings on life course explanations in Wadsworth (1999) and the findings on the importance of childhood conditions in Case et al. (2002). Neither do the results convey anything about what is measured by these variables. Both education and income may stand proxy for something else than, say, health knowledge or economic resources, such as perception of control or social rank as suggested by e.g. Marmot (1994) and discussed e.g. in Deaton (2001). CONCLUSION This study is among the first to systematically explore simultaneous education and income gradients in health across demographic groups, using a health measure complementary to mortality, self-reported health. Of particular importance is that the gradient exist within all considered demographic groups, but that it differs in shape and size. Our findings suggest that education is a particular important marker of SES, but that the income gradient is more robust across demograhpic groups. Relative gradients are particularly large among young people, women and non-white women. 14 ACKNOWLEDGEMENTS Grants from the Danish Research Academy and The Fulbright Commission are gratefully acknowledged. The grants made a visit to Princeton University, where this work was initiated, possible. The hospitality of Princeton is gratefully appreciated. The author is indebted to Angus Deaton for his very helpful comments. Thanks to Douglas Miller for initial data guidance, and to Karsten Albaek, participants at iHEA 2001 in York, and at seminars at Institute of Economics and Institute of Preventive Medicine at University of Copenhagen for helpful comments. 15 REFERENCES Arber, S. 1997. Comparing Inequalities in Women’s and Men’s Health: Britain in the 90’s. Social Science and Medicine 44 (6):773-87. Butler, J. S., Burkhauser, R. V., Mithcell, J. M. and T. P. Pincus. 1987. Measurement Error in Self-Reported Health Variables. The Review of Economics and Statistics 69 (4):644-50. Case, A., D. Lubotsky and C. Paxson. 2002. Economic status and health in childhood: the origins of the gradient. American Economic Review 92 (5): 1308-1334. 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Social Science and Medicine 44 (6): 859-69. 19 APPENDIX A: EDUCATION AND STATE DUMMIES The education classifications correspond to the following categories of the CPS variable for educational attainment (A-HGA): Elementary: <34, Some High School: 34-38, High School Diploma : 39, Some College: 40, College Degree: 41-42, Bachelor Degree: 43, Masters or other Professional Degree: 44+. All US states are included, and Washington D.C. is counted separately. APPENDIX B: PROBIT SPECIFICATION If H is indicator variable taking value one for persons in poor health, and zero otherwise, and X are explanatory variables, the probit model of the probability of poor health is given as follows: P( H 1| X ) ( X ) where is the cumulative density function of the standard normal distribution, and are unknown parameters to be estimated. For categorical variables, the effects presented in Tables 2-4 are given as: P( H 1| X 1 , X 2 1) P( H 1| X 1 , X 2 0) where X1 are variables excluding the dummy variable, X2, and a bar denotes a population average. For income and age, we present marginal effects, given as: P( H 1| X ) 2 ( X ) X 2 where is the standard normal density. We estimated several probit models with different education groups and with different age and income specifications. For men, the probability of poor health does not differ significantly between those with high school and those with some high school nor between the groups with higher education than a college degree. The latter also holds for women, whereas large differences in health are found between women with some high 20 school and no high school at all. This lead us to collapse some education groups. Age is found to affect the probability of poor health linearly. A fourth order polynomium of income captures important variation in poor health, but within the 5th and 95th percentile of income, it can hardly be distinguished from the fit obtained when using log income (249 income observations are not positive and are excluded), and the latter is therefore chosen. In previous analyses we supported the specification of age and income effects by non-parametric loess estimates (see Fan 1992). The results are available from the author upon request. Number of persons in the household and an indicator for living alone were excluded for men, because they were insignificant. Similarly, an indicator for being asian and an indicator for living in an inner city areas are excluded for women. 21 TABLE 1. MEANS AND STANDARD ERRORS OF VARIABLES FROM CPS, 1999. Excellent Health Very Good Health Good Health Fair Health Poor Health Mean 0.281 0.325 0.244 0.101 0.049 Men Std.Err Share PH 0.003 0.003 0.002 0.002 0.001 Mean 0.244 0.321 0.268 0.115 0.053 Women Std.Err 0.002 0.002 0.002 0.002 0.001 0.308 0.119 0.059 23,918 0.095 0.200 0.211 124 0.002 0.002 0.002 0.320 0.141 0.068 0.008 0.014 0.001 0.002 0.003 0.002 0.001 0.002 0.001 0.415 0.360 0.171 0.120 0.109 0.071 0.070 0.088 0.002 0.002 0.002 0.002 0.002 0.003 0.002 0.002 0.002 0.002 0.001 0.000 0.056 0.087 0.141 0.231 0.352 0.130 0.267 0.182 0.160 0.229 0.126 0.232 HH-Income/ae HH-Inc (ae) < 2.decile HH-inc (ae) in 5/6.decile HH-Inc (ae) > 8.decile 26,567 0.192 0.200 0.209 147 0.002 0.002 0.002 Number of prs. in HH Education (years) Elementary Schooling Some High School High School Some College College Bachelor Post Bachelor 2.933 13.110 0.038 0.128 0.318 0.171 0.070 0.179 0.096 0.008 0.017 0.001 0.002 0.003 0.002 0.002 0.002 0.002 0.366 0.317 0.155 0.125 0.091 0.066 0.065 2.840 12.896 0.035 0.131 0.347 0.175 0.080 0.162 0.070 Age 25 <= Age < 34 35 <= Age < 44 45 <= Age < 54 45 <= Age < 54 65 <= Age Married Lives Alone Lives in Central City White Black Asian Indian 47.503 0.205 0.242 0.192 0.122 0.167 0.672 0.125 0.240 0.849 0.105 0.037 0.008 0.087 0.002 0.003 0.002 0.002 0.002 0.003 0.002 0.002 0.002 0.001 0.001 0.000 0.048 0.085 0.131 0.212 0.355 0.138 0.202 0.164 0.141 0.224 0.132 0.193 49.157 0.192 0.224 0.183 0.120 0.206 0.602 0.165 0.243 0.833 0.121 0.039 0.007 Observations (N) 39,584 Share PH 44,615 Notes : Population weighted statistics, using the CPS march supplement weight. "Share PH" is the share with poor or fair health. HH-income/ae is household income per adult equivalent, see text. See the appendix for definition of education codes. 22 TABLE 2. MARGINAL EFFECTS ON THE PROBABILITY OF POOR HEALTH. Men Variable Constant No High School Some College College Post College Age Log HH-Income 25-34 -3.295 0.033 -0.006*** -0.015** -0.017 0.005 -0.016 35-44 -2.587 0.045 0.002*** -0.016*** -0.027 0.003 -0.035 Age 45-54 -2.838 0.068 -0.008*** -0.006*** -0.035 0.008 -0.053 55-64 -2.137 0.079 -0.051 -0.064* -0.111 0.006* -0.065 65+ -1.545 0.101 -0.032*** -0.036*** -0.122 0.008 -0.070 -1.796 0.061 -0.013 -0.023 -0.052 0.005 -0.044 -0.025 0.023 0.014*** 0.034*** 0.003*** -0.058 0.040 0.033** -0.006*** -0.003*** -0.075 0.047 0.025*** 0.094* 0.008 -0.070 0.048** 0.058*** 0.087*** 0.016*** -0.055 0.031*** 0.002*** -0.109*** 0.015*** -0.054 0.041 0.025* 0.049* 0.009** 0.393 7,848 0.032 0.499 9,270 0.063 0.011 7,743 0.105 0.000 4,839 0.176 0.000 6,596 0.342 0.000 39,335 0.108 Women Variable Constant No High School Some High School College Post College Age Log HH-Income 25-34 -2.219 0.026*** 0.025 -0.006*** -0.029 0.003 -0.017 35-44 -2.555 0.036* 0.053 -0.017 -0.035 0.005 -0.036 Age 45-54 -2.142 0.123 0.108 -0.014*** -0.046 0.005 -0.049 55-64 -2.580 0.210 0.156 -0.036* -0.070 0.008 -0.069 65+ -2.056 0.183 0.133 -0.037* -0.044* 0.007 -0.065 Married Lives Alone Number of Prs in HH. Black Asian Indian Lives in Inner City Area -0.019 -0.011*** -0.003** 0.013*** 0.007*** 0.120 -0.011* -0.017* 0.006*** -0.011 0.019* 0.010*** 0.054*** -0.000*** -0.038 0.006*** -0.008* 0.043 0.013*** -0.001*** 0.010*** -0.029** 0.024*** -0.005*** 0.038** 0.012*** 0.074*** 0.025*** -0.027* -0.050* 0.007 0.094 -0.113* 0.121*** 0.004*** -0.030 -0.031 -0.011 0.043 0.232 9,558 0.046 0.117 10,942 0.070 0.016 8,906 0.122 0.000 5,775 0.210 0.000 9,112 0.341 0.000 44,293 0.129 Married Black Asian Indian Lives in Inner City Area US state dummies (p-value) No. Observations: Predicted Prob. at Means US state dummies (p-value) No. Observations: Predicted Prob. at Means All All Notes : Marginal effects on predicted probabilities of poor health from Probit estimations. For discrete variables, the difference to reference groups is presented. The reference group for education for men is some high school or high school, and for women it is high school or college. The reference group for race is white. US state dummies includes DC, and the p-value of the F-test of their joint significance is presented. Income is standardized. Unmarked effects have p<0.01, * denotes 0.01<p< 0.05, ** that 0.05<p<0.1 and *** that p>0.1. 23 -1.411 0.119 0.085 -0.021 -0.047 0.005 -0.044 0.089 TABLE 3. RELATIVE EDUCATION AND INCOME EFFECTS ON THE PROBABILITY OF POOR HEALTH ACROSS AGE GROUPS. Men No High School Some College College Post College Income Overall Education Gradient Women No High School Some High School College Post College Income Overall Education Gradient 25-34 1,031 -0,188 -0,469 -0,531 -0,563 35-44 0,714 0,032 -0,254 -0,429 -0,635 Age 45-54 0,648 -0,076 -0,057 -0,333 -0,590 1,563 1,143 0,981 1,080 0,652 0,565 0,543 -0,130 -0,630 -0,413 0,514 0,757 -0,243 -0,500 -0,586 1,008 0,885 -0,115 -0,377 -0,451 1,000 0,743 -0,171 -0,333 -0,371 0,537 0,390 -0,109 -0,129 -0,214 1,719 1,127 1,610 1,591 0,664 55-64 0,449 -0,290 -0,364 -0,631 -0,426 65+ 0,295 -0,094 -0,105 -0,357 -0,240 Notes : Absolute effects from Table 2 divided by age specific predicted probabilities also in Table 2. The overall education gradient is the No High School versus Post College differential. 24 TABLE 4. MARGINAL EFFECTS ON THE PROBABILITY OF POOR HEALTH, FOR BLACKS, ASIANS AND INDIANS. Men Variable Constant No High School Some College College Post College Age Log HH-Income -2.635 0.075 0.003*** -0.008*** -0.029*** 0.007 -0.044 0.210 0.178 0.062 0.220 44.839 2.730 Married Indian Asian Lives in Inner City Area -0.065 -0.001*** -0.051 0.023*** 0.542 0.055 0.255 0.447 US state dummies (p-value) No. Observations: Predicted Prob. at Means Mean Women Variable Constant -1.914 No High School 0.107 Some High School 0.086 College -0.019*** Post College -0.064 Age 0.006 Log HH-Income -0.056 Married Lives Alone Number of prs in HH Indian Asian 0.015 4,863 0.159 -0.004*** 0.017*** -0.013 0.041*** -0.051 0.000 6,412 0.163 Notes : The reference group for race is blacks. See also comments to table 1 and 2. 25 Mean 0.046 0.168 0.251 0.261 45.842 2.543 0.453 0.152 3.149 0.044 0.230
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