Health Insurance and Labor supply: Joint Decision-making within Households Ling Wang January 2008 Abstract: This study proposed a dynamic model to capture the joint labor supply decisions within household related with Employer-Provided Health Plan (EPHI). Based on the dynamic model, I estimated the effect of EPHI on joint labor supply using multinomial logit model. Using data from 1996 National Medical Expenditure Survey (MEPS), I have found that given spouse holding health insurance from employers, the individual will decrease the labor supply. However, given spouse offered health insurance from employers, the individual will higher labor force participation, which illustrate that there might exist assortative mating in the couples. Also, the estimates showed that children have a bigger effect on female’s labor force participation. 1. Introduction In America, health insurance is largely employment based: nearly 80 percent of Americans covered through their own or spouse’s employer-provided health insurance plan. During the 1992 presidential campaign, the issue of expanding access to health care system to everyonewhich is often referred to as universal coverage-was the focus of the debate. Although till now, the universal health insurance failed to gain wide spread, the supporters still try to push for its adoption. Partial reform was achieved in August of 1996, when the Health Insurance Reform Act was signed into law. This law limited the insurer’s ability to deny coverage to people with preexisting health conditions, which to some extent extend the coverage of health insurance. Because health insurance is the largest nonwage component of total compensation, accounting 34 percent of expenditures on voluntary employee benefits and 7 percent of total compensation (U.S. BLS 1994a), much research has been done on the relationship between labor market outcomes with health insurance, such as job mobility (Madrian 1994, Cooper and Monheit 1993, Gilleskie and Lutz 2002) and retirement decisions (Gustman and Steinmeier 1994, Gruber and Madrian 1995, Blau and Gilleskie 2006). A neglected potential effect of employerprovided health insurance is the labor force participation and working hours. The objective of this study is to investigate the labor-supply implications of employer-provided health insurance and measure the reduction in labor force given universal health insurance. An intuitive effect of employer-provided health insurance on labor force participation would be negative. However, due the joint decision of couples within household and endogeneity of spouse’s health insurance on own labor supply, the effect of health insurance on labor supply might be more complex. Wellington and Cobb-Clark (1999) modeled working hours as a function of being covered by spouse’s health insurance. They tried to answer three questions in the study: first, does a 1 worker’s decision about whether and how much to work depend on the availability of spousal coverage? Secondly, how do these decisions differ across workers with different characteristics? Thirdly, what can these estimates tell about the potential overall impact of universal coverage on labor supply? Although they claim that “joint distribution implies that one can not separate the effect of health insurance from simple heterogeneity in the preference for work”, they used linear reduced-form equation to model the individual’s labor supply given the individual’s characteristics and spouse’s health insurance status as exogenous. They also come up with the method to calculate the magnitude of change in labor supply given universal health insurance. Their results showed that wives with spousal coverage are 19.5 percentage points less likely to participate in the labor market and work on average 7.1 to 14.8 percent fewer hours annually than otherwise similar wives. Their estimates also suggests that universal coverage would reduce the overall labor force participation rate by 3.3 percentage points and reduce the average hours of workers by 46 hours per year. Compared with Welling and Cobb-Clark’s simple reduced-form model, Buchmueller and Valletta (1999) employed a more complex multinomial logit model to control for the heterogeneity of husband’s health insurance on wives’ working hours. They separated the effect of health insurance on working hours into threshold effect and heterogeneity effect of husbands’ health insurance on wives’ hours. The threshold effect is defined as the effect of employers’ health insurance offer on labor supply, that is, most employers only provide full-time workers health insurance thus might change individuals’ decision about their labor supply. Based on their theoretic model, they showed that difference-in-difference estimate of multinomial logit model provides the unbiased threshold effect. Their analysis showed that the threshold effect on the wives’ working hours is much larger than husbands’ and given universal health insurance, there might be a non-trivial reduction in females’ labor supply. However, their unbiased estimations are based on the two assumptions: first, the threshold effect does not apply to wives in jobs that 2 do not offer health insurance; second, the heterogeneity of husbands’ health insurance on wives’ working hours does not depend on wives’ insurance status. Similarly, Royalty and Abraham (2005) divides the husbands’ health insurance effect on wives labor supply into two effects: assortative mating and unobserved income effect. Based on two assumptions, they were able to separate the two effects by using difference-in-difference instrumental variable model and using another fringe benefit, sick leave in the estimation. They found that for males, assortative mating effect dominates, that is, higher educated men have a higher tendency to choose a higher educated wife. While for females, the income effect dominates, that is, women will have lower labor force participation given higher household income. These studies all found the effect of health insurance on wives’ labor force participation is much larger than husbands. However, they either didn’t control the heterogeneity of husbands’ health insurance on wives’ labor supply or they get the unbiased estimators based on assumptions. Secondly, they fail to consider the intra-household decision process. Given husbands and wives might have same concern about the household such as household consumption and child care, there might exist an intra-house bargaining process with respect to the labor force participation. Thirdly, all the models did not consider the impact of health status on labor supply. In order to overcome the drawbacks stated above, I proposed a dynamic model in this study to model the joint decision of household labor supply considering the employer-provided health insurance. The rest of the paper is organized as follows: The first part will introduce the dynamic model of joint decision of household on labor supply as the theoretical model. Next, based on the theoretical model, a multinomial logit model is derived to captures all the factors affecting the labor supply decisions in the model. Part III and Part IV will present the descriptive analysis and estimation results from the multinomial logit model. Part V concludes the paper. 3 2. Theoretical model This section describes a dynamic model of joint labor supply considering the offer of health insurance provided by employers to capture the sequential decision-making process in each period of household. At each discrete time period, the individual faces an offer of wage and health insurances provided by the employers. They also face two stochastic probabilities at the beginning of each period: fertility probability and probability of health status change. Given income, health insurance offers and wage offers and number of dependent kids in the family, the individual decides each period’s labor supply and the method of acquiring health insurance to optimize discounted household present value life utility. The decision-making process continues until the divorce of the couple or retirement or death of either one of the couples. The children in the model are only considered as providing utility to parents and taking the time and consumption of the parents. The health and health insurance of children are not considered in the model. 2.1. Per-period Discrete Choices At each period, the individual may experience health status change and fertility change in the family, thus affect the household’s consumption. The individual makes optimizing decisions about the labor supply and acquiring health insurance each period. In the model, those families acquire health insurance through Medicaid or other forms of public insurance are not considered. The alternative available to an individual are: —Husband or wife Employment choices at period t; If choose to be unemployed; If choose to be a part-time worker; If choose to be a full-time worker; 4 —Husband or wife health insurance choices at period t; If choose to be uninsured; If choose to be insured by individual purchased plan; If choose to be insured through spouse’s Employer-Provided Health Insurance (EPHI); If choose to be insured through own EPHI; 2.2. State variables and Laws of Motion The individual’s state variables with the choices determined his utility at each period. And previous choices will change the state when the individual enters a new period. The observed states at period t are as following: —Husband or wife health status at period t-1; If dead; If poor health with chronic disease; If fair health with small disease; If very well; —Husband or wife insurance offer status at the beginning of period t; Unemployed and not offered EPHI; Part-time worker and not offered EPHI; Part-time worker, offered EPHI but not cover spouse; Part-time worker, offered EPHI and cover spouse; Full-time worker and not offered EPHI; Full-time worker, offered EPHI but not cover spouse; Full-time worker, offered EPHI and cover spouse; 5 —Number of children in the family at period t; —Husband or wife’s full-time work experience; —Husband or wife’s part-time work experience; —Husband or wife’s duration of unemployment; The state variables evolve based on the following laws. I assume the fertility is exogenous and stochastic. That is, with , the family will have a new baby in next period and with 1- , the family size will remain the same. Fertility change: With ; With 1- The health status change will be assumed to depend on previous health status and the preventive care is not considered here. Health status change: , — Probability of observing husband or wife’s health status changes to type k given health status at t-1. At the beginning of each period, the individual will receive the wage offer from current employer, the wage offer will depend individual education, full-time work experience, part-time work experience and duration of unemployment. 6 Wage offer: If unemployed; If employed; Full-time work experience; Part-time work experience; Duration of unemployed; 2.3. Utility Functions and Budget Constraints The household utility is stochastic which depends on the consumption of the household ( health status of husband and wife ( time of husband and wife ( The parameter , number of children in the family ( and leisure . The per-period linear additive utility function is: captures the different effect of couples’ health status on household utility and the children’s utility to parents are assumed to be same, which is captured by parameter 7 , At each period, the household face two budget constraints: Income constraint and time constraint. In order to simplify the model, I assume the household can not borrow or save over the periods. Income constraint: Time constraint: Here is the non-wage income of the family; is Out-of-pocket expenditure for medical care of husband or wife, which is the function of health insurance type and health status; husband; is the expenses of children; is the health insurance premium paid by is the health insurance premium paid by wife and is the time cost of child care. 2.4. The Value function The life value function of each alternative per period t conditional on health insurance offer is: 8 The life value function of each alternative per period t conditional on health insurance offer is: The maximal expected value of life utility at period t unconditional preference error and assuming each person make the optimized choice: The dynamic of joint decision of labor supply ends when the household doesn’t exist or exit the labor force, that is, when the couples divorce or death or retirement of the couples. At the last period, the utility function will be a function of either one of the remaining couples: 2.5. Implementing the Theoretical Model The dynamic model presents above capture almost every factor affecting the decision of household labor supply. Based on the value function, the individual will choose his optimal working status if the value function is greater the value function given other alternatives: Solution of the model would indicate that the labor supply decision of the individual would be a function of his own health insurance status( 9 , spouse’s health insurance status ( , his own health insurance offer( children ( , education level ( experience ( ( , spouse’s health insurance offer( , his own wage ( , his own health care expenditures ( , his own health insurance premium ( income in the household ( , number of dependent , spouse’s wage ( , his own working , spouse’s health care expenditures , spouse’s health insurance premium( and other . The labor supply function can be written as the follows: 3. Data and Descriptive Analysis I use the data from Round 1 of the Household Component (HC) 1996 Medical Expenditure Survey Panel (MEPS). The MEPS is a random sample of civilian non-institutionalized population of the United States. The dataset contains the information of individual’s basic demographic characteristics, health status, employment status and health insurance status. The sample in this study consists of household in which both parents are between 25 and 64 years of age and I eliminate those in the army, self-employed and insured by Medicaid or other forms of public insurance from the sample. Based on these criteria, the sample consists of 2044 households. The dependent variable is the individual working status, which is divided into three categories: 0 for out of labor force, 1 for unemployed, 2 for part-time worker and 3 for full-time worker. In the sample of husbands, 169 are out of labor force, 24 are unemployed, 78 are part-time workers and 1773 are full-time workers. (Refer to table 2 for wives’ working status). The part-time work is defined as working hour per week between 0 to 30 hours. The full-time workers are those who work at least 30 hours per week. The education level is categorized as the highest degree acquired 10 by the individual. To capture the health status of the household members, I used the self-reported or perceived health status by the individuals. In the questionnaire, they self-reported their own health status as excellent, good, fair and poor. As stated in the theoretical model, children in the family might affect the parents’ decisions about labor supply. In the model, I control the number of children under 18 in the household. In order to test the effect employer-provided health insurance on labor supply, I also include the health insurance held status and health insurance offer in the sample. Both are binary variables, in which 0 of health insurance held indicates not holding health insurance through employers and 0 of health insurance offer indicates the employer did not offer health insurance. From table1, over 70% of husbands and over 50% of wives were offered health insurance through the employers. However, the questionnaire didn’t capture the information whether the offer of health insurance covered spouses. Based on theoretic model, other factors might affect the labor supply decisions are the medical expenditures and premium paid for the health insurance. The sample collected the individual’s total expenditure on medical care in 1996 and the net medical care deduction in 1996. Working experience and tenure also affect the labor supply of the individual. However, MEPS didn’t collect the information on working experience and tenure. Table 2 presents the detailed variables definitions and descriptive statistics. 4. Empirical results Table 3 reported the multinomial logit model estimation results. For husband and wife the base groups are the full-time workers. Column 2 reports the relative risk ration (RRR) with respect to the group of full time workers. If RRR>1, it indicates with the increase of the 11 independent variable, the individual has a higher chance to fall into the comparison group (Out of Labor force, Unemployed or Part-time work) relative to base group (Full-time work). If RRR<1, the individual has a higher chance to fall into the base group (Full-time work) relative to comparison group (Out of Labor force, Unemployed or Part-time work). All the regressions are analyzed using the survey weights. After controlling for education, health status, own health care expenditure, spouse’s wage and own health insurance offer, it can be found that the marginal propensity of husband choose be full-time worker is higher(RRRs are less than 1) given wife is offered health insurance from her employers. The same pattern can be found with the wives. However, given wife is holding the health insurance from the employers, the husband’s marginal propensity to be out of labor force is higher (RRRS are greater than 1). The opposite effect of spouses’ holding health insurance and spouses’ health insurance offer might because health insurance offer captures the capability of the spouses which positively correlated with own ability and thus higher own labor supply. While spouses’ holding health insurance through employers might cover the whole household, thus decrease the individual own labor supply. Number of children is also an important factor determine the parents labor supply. For male worker, as the number of children increases, they have a higher chance to fall into full-time worker, as all RRRs are smaller than 1. However, for female worker, as the number of children increases, they have a lower chance to fall into full worker, as all RRRs are greater than 1. It indicates that the wives usually take care of children in the family. Spouse’s hourly wage showed a negative effect on the labor supply and with hourly wage increases for our of labor force females, as RRRs before hourly wage are greater than 1.Howeve, the effects are not statistically significant. 12 The sign of RRRs before the health status is within expectations. With a poor health status, the individual will have a higher tendency to participate in part-time job or out of labor force. Another pattern that holds consistently across model is that total medical care expenditure has a significant effect on part-time workers. With medical care expenditure increases, the part-time worker will have a higher chance to change into full-time workers. Also, the effect is more significant for females. 5. Conclusion In this study, I have proposed a dynamic model to capture the labor supply decisions within household with respect to employer-provided health insurance. The dynamic model captures the factors that might affect the labor supply within household considering the health insurance and health status of the household. The key feature of the dynamic model is that it considered the probability of health shock and fertility over periods and individual make labor supply decisions to optimize every period presented value of household utility. Based on the dynamic model, I carried out a multinomial logit regression considering all the factors in the dynamic model might affect the labor supply of couples. Using MEPS data, it is found that offer of spouse’s health insurance have a positive effect on own labor supply, while spouse’s holding health insurance have negative effect on own labor supply. Also, the children have a different impact on mothers’ labor supply compared with fathers. However, the estimators from the multinomial logit model are biased because of the endogeneity. The assortative mating between couples might lead to a downward bias in the estimators of spouses’ offered health insurance on labor supply. Also, the health status is strongly 13 correlated with the medical expenses. I will work on eliminating the endogeneity bias in the future work. Reference: Blau, D. and D. Gilleskie (2006) “Health Insurance and Retirement of Married Couples.” Journal of Applied Econometrics, Vol. 21, No.7, pp935-953. Buchmueller, T., and R. G. Valletta (1999) “The Effect of Health Insurance on Married Female Labor Supply.” The Journal of Human Resources, Vol. 34, No.1 , pp42-70. Cooper, Philip F., and A. C. Monheit (1993) “Does Employer-Related Health Insurance Inhibit Job Mobility?” Inquiry, Vol.30, No. 4, pp400-416. Dey, M. S. and C. J. Flinn (2005) “An Equilibrium Model of Health Insurance Provision and Wage Determination” Econometrica, Vol.73 No. 2, pp571-627. Gemici, Ahu (2007) “Family Migration and Labor Market Outcome” Job market paper Gillesike, Donna (1998) “A Dynamic Stochastic Model of Medical Care Use and Work Absence.” Econometrica, Vol. 66, No. 1, pp1-45. Gilleskie, D. and B. Lutz (2002) “The Impact of Employer-Provided Health Insurance on Dynamic Employment Transitions.” Journal of Human Resources, Vol. 37, No.1 pp129-162. Gruber, J. and B. Madrian (1994) “Health Insurance Availability and Retirement Decision” American Economic Review, Vol. 85, No. 4, pp938-948. Gustman, A. L. and T. L. Steinmeier (1994) “ Limited Insurance Portability and Job Mobility: The Effects of Public Policy on Jobe-Lock” Industrial and Labor Relations Review, Vol. 48, No. 1, pp124-140. Madrian, Brigitte C. (1994) “The Effect of Health Insurance on Retirement.” Brookings Papers on Economic Activity, Vol. 1, pp181-132. Olson, Craig A. (1995) “Part-time work, Health Insurance Coverage and the Wages of Married Women.” Mimeo. University of Wisconsin. Royalty, A. B., and J. M. Abraham (2006) “Health Insurance and Labor Market outcomes: Joint decision-making within households” Journal of Public Economics, Vol. 90 pp1561-1577. Wellington, A. J. and D. A. Cobb-Clark (2000) “The Labor-Supply Effects of Universal Health Coverage: What Can We Learn From Individual with Spousal Coverage?” Worker Well-Being, Vol. 19, pp315-344. 14 Appendix: Table 1: Dependent Variable distribution: Working status Husband Freq Percent Husband 169 24 78 1,773 2,044 0-out of labor force 1-unemployed 2-part-time worker 3-full-time worker Sum 8.27 1.17 3.82 86.74 100 Wife Freq Percent 415 31 432 1,166 2,044 20.3 1.52 21.14 57.05 100 Cross analysis of work status and health insurance status. Husbands: 0-out of labor force 1-unemployed 2-part-time worker 3-full-time worker Sum Husband hold health insurance Not hold Hold Wife offered health 169 0 insurance Husband offered health insurance Not offer Offer Wife offered 169 0 health insurance Wife hold health insurance Not hold Hold Wife hold health insurance Not hold hold Wife offered health 415 0 insurance Wife offered health insurance Not offer Offer Wife offered 415 0 health insurance Husband hold health insurance Not hold hold 24 57 424 674 0 21 1,349 1,370 24 51 249 493 0 27 1,524 1,551 111 14 51 1,128 1,304 58 10 27 645 740 Wife offered health insurance Not offer Offer 101 13 42 833 989 68 11 36 940 1,055 Wives: 0-out of labor force 1-unemployed 2-part-time worker 3-full-time worker Sum 31 381 477 1,304 0 51 689 740 31 310 233 989 15 0 122 933 1,055 140 9 118 407 674 275 22 314 759 1,370 Husband offered health insurance Not offer Offer 125 7 90 271 493 290 24 342 895 1,551 Table 2: Descriptive analysis Husbands: Variables husband work status Husband education no degree High school without degree High school with degree bachelor degree master degree doctor degree Husband health status excellent good fair poor Husband Health Insurance status Husband held health insurance Husband offered health Insurance Husband Hourly wage Husband medical care expense Net medical expense deduction Total medical expense Number of children Obs. Mean Std. Dev. Min Max 2040 2.708 0.835 0 3 2040 2040 2040 2040 2040 2040 0.098 0.048 0.449 0.215 0.079 0.019 0.297 0.214 0.498 0.411 0.271 0.138 0 0 0 0 0 0 1 1 1 1 1 1 2040 2040 2040 2040 0.339 0.574 0.235 0.064 0.474 0.495 0.424 0.245 0 0 0 0 1 1 1 1 2040 2040 2040 0.693 0.778 16.294 0.461 0.416 16.452 0 0 0 1 1 369.52 2040 2040 2040 9.524 26.064 1.000 176.725 315.400 1.093 0 0 0 4500 7600 7 16 Mean Wives: Variables wife work status wife education no degree High school without degree High school with degree Bachelor degree Master degree Doctor degree Wife health status excellent good fair poor Wife Health Insurance Status Wife held health insurance Wife offered health Insurance Wife hourly wage Wife medical expense Net medical expense deduction Total medical expense Number of children Obs. Mean Std. Dev. Min Max 2040 2.164 1.164 0 3 2040 2040 2040 2040 2040 2040 0.077 0.034 0.522 0.182 0.071 0.008 0.267 0.181 0.500 0.386 0.257 0.087 0 0 0 0 0 0 1 1 1 1 1 1 2040 2040 2040 2040 0.313 0.592 0.238 0.072 0.464 0.492 0.426 0.259 0 0 0 0 1 1 1 1 2040 2040 2040 0.365 0.530 9.165 0.481 0.499 8.401 0 0 0 1 1 60.1 2040 2040 2040 41.957 98.045 1.000 544.818 745.746 1.093 0 0 0 14000 15000 7 17 Table 3: Multinomial Logit regression: Husbands (base group: full-time workers) Out of labor force worker: Variables No degree High school without degree High school with degree Higher than Bachelor degree Good Health Fair Health Poor Health Wife held health insurance Wife offered health Insurance Net medical expense deduction/1000 Total medical expense/1000 Spouse’s hourly wage Wife total medical expense/1000 Number of children RRR 2.547 2.632 1.065 1.032 0.652 2.178 3.247 3.131 0.223 0.666 1.270 0.990 1.016 0.344 Std. Err. Z P>|Z| 0.719 0.926 0.251 0.360 0.161 0.537 0.931 1.226 0.088 0.620 0.538 0.014 0.111 0.047 3.31 2.75 0.27 0.09 -1.73 3.15 4.11 2.92 -3.81 -0.44 0.57 -0.73 0.14 -7.89 0.001 0.006 0.788 0.928 0.083 0.002 0 0.004 0 0.662 0.572 0.468 0.885 0 Obs.=2,040 Unemployed worker: Variables No degree High school without degree High school with degree Higher than Bachelor degree Good Health Fair Health Poor Health Wife held health insurance Wife offered health Insurance Net medical expense deduction/1000 Total medical expense/1000 Spouse’s hourly wage Wife total medical expense/1000 Number of children Obs.= 2,040 18 RRR Std. Err. Z P>|Z| 2.785 0.000 1.672 3.619 1.720 0.281 4.435 22.507 0.066 0.000 0.000 0.995 0.000 0.550 2.407 0.000 1.159 2.897 1.024 0.247 3.401 38.427 0.115 0.000 0.000 0.038 0.000 0.165 1.19 0 0.74 1.61 0.91 -1.44 1.94 1.82 -1.56 0 0 -0.12 0 -1.99 0.236 1 0.459 0.108 0.362 0.149 0.052 0.068 0.118 1 1 0.904 1 0.046 Part-time worker: Variables No degree High school without degree High school with degree Higher than Bachelor degree Good Health Fair Health Poor Health Wife held health insurance Wife offered health Insurance Net medical expense deduction/1000 Total medical expense/1000 Spouse’s hourly wage Wife total medical expense/1000 Number of children RRR 0.647 0.749 1.815 1.269 0.909 1.065 0.887 1.586 0.586 0.215 1.799 0.980 1.141 0.492 Obs.= 2,040 19 Std. Err. Z P>|Z| 0.396 0.581 0.540 0.576 0.258 0.337 0.498 0.631 0.241 0.469 0.762 0.019 0.097 0.075 -0.71 -0.37 2 0.52 -0.33 0.2 -0.21 1.16 -1.3 -0.71 1.39 -1 1.55 -4.67 0.477 0.709 0.045 0.6 0.738 0.842 0.832 0.247 0.194 0.481 0.166 0.317 0.122 0 Wives (base group: full-time workers) Out of labor force worker: Variables No degree High school without degree High school with degree Higher than Bachelor degree Good Health Fair Health Poor Health Husband held health insurance Husband offered health Insurance Net medical expense deduction/1000 Total medical expense/1000 Spouse’s hourly wage Husband total medical expense/1000 Number of children RRR Std. Err. Z P>|Z| 3.340 2.150 1.824 0.858 0.795 0.862 1.925 2.711 0.305 0.498 1.430 1.003 1.198 1.120 0.766 0.725 0.271 0.247 0.114 0.142 0.422 0.729 0.087 0.175 0.201 0.004 0.242 0.061 5.26 2.27 4.04 -0.53 -1.6 -0.9 2.99 3.71 -4.17 -1.98 2.54 0.7 0.89 2.08 0 0.023 0 0.594 0.11 0.366 0.003 0 0 0.047 0.011 0.483 0.372 0.037 RRR Std. Err. Z P>|Z| 5.726 0.000 1.962 5.027 4.043 1.543 11.791 2.497 0.853 0.000 0.000 0.997 2.071 0.940 3.874 0.000 1.095 3.434 2.786 0.666 9.473 1.860 0.723 0.000 0.000 0.018 0.490 0.174 2.58 0 1.21 2.36 2.03 1 3.07 1.23 -0.19 0 0 -0.18 3.08 -0.34 0.01 1 0.228 0.018 0.043 0.315 0.002 0.219 0.851 1 1 0.858 0.002 0.737 Obs.= 2,040 Unemployed worker: Variables No degree High school without degree High school with degree Higher than Bachelor degree Good Health Fair Health Poor Health Husband held health insurance Husband offered health Insurance Net medical expense deduction/1000 Total medical expense/1000 Spouse’s hourly wage Husband total medical expense/1000 Number of children Obs.= 2,040 20 Part-time worker: Variables No degree High school without degree High school with degree Higher than Bachelor degree Good Health Fair Health Poor Health Husband held health insurance Husband offered health Insurance Net medical expense deduction/1000 Total medical expense/1000 Spouse’s hourly wage Husband total medical expense/1000 Number of children Obs.= 2,040 21 RRR Std. Err. Z P>|Z| 1.044 1.833 1.131 1.246 0.899 0.877 1.055 2.106 0.499 0.649 1.487 1.005 1.310 1.234 0.280 0.568 0.150 0.271 0.121 0.136 0.272 0.488 0.128 0.125 0.192 0.003 0.233 0.064 0.16 1.95 0.93 1.01 -0.79 -0.85 0.21 3.21 -2.71 -2.24 3.08 1.37 1.52 4.07 0.871 0.051 0.353 0.311 0.429 0.397 0.835 0.001 0.007 0.025 0.002 0.169 0.129 0
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