,P‘l“ ‘. 5’!" ”man mg I“?! nmmmt flflifll‘l"! “VIN" I “ ‘2‘! rue (-r‘ N u h u -i ~hv1'0l dug“ at 3“. (100? LIBRARY Michigan State University This is to certify that the dissertation entitled THE EFFECTS OF THE EARNED INCOME TAX CREDIT ON LABOR MARKETS AND INDIVIDUAL BEHAVIOR presented by KAMPON ADIREKSOMBAT has been accepted towards fulfillment of the requirements for the PhD. degree in Economics ItawBWa/UL 16W U0 Major Profésdor’ 5 Signature Wil/Otfi Date MSU is an affinnativecaction, equal-opportunity employer -.. -.-.-.-.-._ It--. ‘;-J-....-.-I_-.-..--r-o-n-.->-J-._ ..-.-.----g.--._.- PLACE IN RETURN BOX to remove this checkout from your record. TO AVOID FINES return on or before date due. MAY BE RECALLED with earlier due date if requested. DATE DUE DATE DUE DATE DUE 5/08 K lProilAcc8.Pres/CIRCIDateDue indd THE EFFECTS OF THE EARNED INCOME TAX CREDIT ON LABOR MARKETS AND INDIVIDUAL BEHAVIOR By Kampon Adireksombat A DISSERTATION Submitted to Michigan State University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Department of Economics 2008 ABSTRACT THE EFFECTS OF THE EARNED INCOME TAX CREDIT ON LABOR MARKETS AND INDIVIDUAL BEHAVIOR By Kampon Adireksombat With the ultimate goal to examine the incidence of the 1993 Earned Income Tax Credit (EITC) expansion, my dissertation consists of three chapters that examine the effects of the EITC on labor market and individual behavior. In Chapter 1, I test whether differential increases‘in the maximum credits of the EITC due to the 1993 expansion resulted in differential changes in labor supply. To avoid the complex joint labor supply decisions of spouses, this study focuses on the labor supply decisions of unmarried women. Using national survey data from the March Current Population Survey (CPS) and differential increases in the maximum credits available to unmarried women with two or more children compared to those with one child and those with no children, I find that the 1993 EITC expansion increased the probability of labor force participation of the two or more children group by 3.6 percentage points relative to the no children group and 3.0 percentage points relative to the one child group. Regarding the hours of work, I find evidence that Ordinary Least Squares (OLS) estimates may be biased towards zero, and therefore estimate the annual hours of work by a Tobit model. Results suggest that following the EITC expansion, unmarried women with two or more children increased their annual hours of work compared to those with no children and those with one child by 130 and 91 hours, respectively. However, when the sample is restricted to those who were already in the labor force, I find no evidence of statistically significant changes in their annual hours of work. The EITC is more effective if its incidence is captured by the worker. Interest in whether the EITC incidence is captured by the worker or the employer follows from the EITC’s larger role in increasing low-income workers’ labor supply. Using cross-sectional and cross—time variation in the federal and state EITCs with data from the CPS, in Chapter 2, I examine the incidence of the 1993 EITC expansion on the wages Of unmarried women. Accounting for the sample selection problem and the endogeneity of the EITC, I find no evidence of a statistically and economically significant decrease in wages received by unmarried women who face larger increases compared to those who face smaller increases in their EITC. Results in Chapters 1 and 2 rely on the assumption that the marriage decision is exogenous to the value of the EITC. Therefore, in Chapter 3, I test this hypothesis. Using a sample of cohabiting women with children from the 2001 panel of the Survey of Income and Program Participation, I describe the distribution of the changes in the EITC marriage incentives associated with the EITC expansion for married couples in 2001 and examine whether the changes in the EITC marriage incentives are correlated with marriage decisions. Accounting for individual fixed effects and the endogeneity of the EITC, I find no relationship between changes in the EITC marriage incentives faced by cohabiting women and their marriage decisions. I conclude that the marriage decision is exogenous to the EITC. To my family and the memory of Ngangsong Saekow iv ACKNOWLEDGEMENTS I would like to thank my committee chair, Professor Stacy Dickert-Conlin. I am very grateful to for her guidance, support, patience, and encouragement. I would also like to give special thanks to Professor Charles Ballard. Without his special help, I would not be able to focus on my field of specialization, public economics. I would like to thank the other members of the committee; Professor Leslie Papke and Professor Edmund Outslay for providing me helpful comments and suggestions. I would like to thank my parents, who did not have an opportunity to even finish elementary school but strongly believe that education can give their kids a great opportunity. Their love and sacrifice has been a solid base from which this child could launch many pursuits. Pa and Ma, thank you. I need to thank my sister and brother, I e Nueng and Tuang, who always believe in me and give me their support and encouragement. I also need to thank Ae, my girlfi-iend, for her love, support, and patience. You guys have always been there for me. I love you all. I want to thank my friends from Suankularb Wittayalai and Chulalongkom University. I absolutely cherish all of the years we have spent together, and your ability to make me forget about all of the stress in my life, or at least for a short while. I also want to thank my MSU friends, who give me a lot of comments and supports. Finally, I would like to take this opportunity to thank people of Michigan and Michigan State University for providing me the scholarship and fellowship. It is also my pleasure to spend five years in the United States. Thank you for your generosity. It is greatly appreciated. TABLE OF CONTENTS LIST OF TABLES .................................................................................. vii LIST OF FIGURES ................................................................................. ix CHAPTER 1 THE EFFECTS OF THE 1993 EARNED INCOME TAX CREDIT (EITC) EXPANSION ON THE LABOR SUPPLY OF UNMARRIED WOMEN ................... 1 1.1 INTRODUCTION ...................................................................... 1 1.2 INSTITUTIONAL DETAILS AND THEORETICAL PREDICTION... .......3 1.3 LITERATURE REVIEW .............................................................. 6 1.4 IDENTIFICATION STRATEGY ................................................... 10 1.5 DATA AND EMPIRICAL APPROACH .......................................... 11 1.6 REGRESSION SPECIFICATION AND RESULTS ............................. 19 1.7 CONCLUSION ........................................................................ 33 CHAPTER 2 THE INCIDENCE OF THE EITC ............................................................... 34 2.1 INTRODUCTION ..................................................................... 34 2.2 THE EITC AND ECONOMIC INCIDENCE ..................................... 36 2.3 LITERATURE REVIEW ............................................................ 43 2.4 DATA AND EMPIRICAL METHOD ............................................. 48 2.5 RESULTS .............................................................................. 57 2.6 CONCLUSION ........................................................................ 62 CHAPTER 3 EVIDENCE OF THE EITC MARRIAGE-PENALTY-RELIEF ............................ 64 3.1 INTRODUCTION ..................................................................... 64 3.2 INSTITUTIONAL DETAILS ....................................................... 67 3.3 EXISTING LITERATURE .......................................................... 69 3.4 DATA AND DESCRIPTIVE EVIDENCE ........................................ 74 3.5 ARE EITC MARRIAGE INCENTIVES CORRELATED WITH MARRIAGE DECISIONS? ........................................................................... 82 3.6 CONCLUSION ........................................................................ 89 APPENDIX .......................................................................................... 90 BIBLIOGRAPHY ................................................................................... 93 vi Table 1.1 Table 1.2 Table 1.3 Table 1.4 Table 1.5 Table 1.6 Table 1.7 Table 1.8 Table 2.1 Table 2.2 Table 2.3 Table 2.4 Table 2.5 Table 2.6 Table 2.7 Table 2.8 Table 3.1 Table 3.2 Table 3.3 LIST OF TABLES Summary Statistics ................................................................ 13 Labor Force Participation Rates of Unmarried Women Before and After 1994 .......................................................................... 15 Annual Hours Worked by Unmarried Women Before and After 1994 (Including Those with Zero Hour of Work) ..................... 17 Annual Hours Worked by Unmarried Women Before and Afier 1994 (Conditional on Hours of Work Exceeding Zero) ............... 18 Marginal Effects of Probit Model ............................................... 24 Marginal Effects of Probit Model by Levels of Education ................... 26 Results of OLS Estimation ....................................................... 29 Marginal Effects of Tobit Model ................................................ 31 Summary Statistics ................................................................ 49 Median Marginal Tax Rates of Unmarried Women Before and After 1994 .......................................................................... 51 Labor force Participation Rates of Unmarried Women Before and After 1994 .......................................................................... 52 Wages for Unmarried Women Before and After 1994 ....................... 53 Marginal Effects of Probit Model ............................................... 58 Test of Selection Bias ............................................................ 60 Results of Wage Equation ........................................................ 60 Results of Wage Equation (Including the Minimum Wage) ................ 62 Marriage Penalty Relief Provisions ............................................. 69 Descriptive Statistics .............................................................. 84 Linear Probability Model for All Women with Children ............................................................................ 86 Vii Table 3.4 Linear Probability Model for All Women with Children by Education Level .................................................... 88 Table A] Federal Earned Income Tax Credit Parameters, 1990-2000 ................. 90 viii Figure 1.1 Figure 2.1 Figure 2.2 Figure 3.1 Figure 3.2 Figure 3.3 Figure 3.4 Figure 3.5 Figure 3.6 Figure A.1 Figure A.2 Figure A.3 Figure A.4 LIST OF FIGURES The EITC Maximum Credits during the 19905 ................................ 5 The EITC Maximum Credits during the 19903 .............................. 38 Labor Demand and Labor Supply Model ...................................... 42 Weighted Number of Cohabiting Women Facing an EITC Marriage Subsidy/Penalty in 2001, 2002, and 2005 .......................... 76 Weighted Means of the EITC Marriage Subsidy .............................. 78 Weighted Means of the EITC Marriage Subsidy by Education ............ 79 Weighted Number of Women Facing an EITC Marriage Subsidy ......... 79 Weighted Means of the EITC Marriage Incentive by Race ................. 81 Weighted Means of the EITC Marriage Incentive by Race for Women with Less than High School Education and Two or More Children ............................................................................. 81 Labor Force Participation of Unmarried Women between 1991 and 2000 ................................................................................. 91 Labor Force Participation of Unmarried Women with Two or More Children ............................................................................. 91 Labor Force Participation of Unmarn'ed Women with One Child ......... 92 Labor Force Participation of Unmarried Women with No Children ....... 92 ix CHAPTER 1 THE EFFECTS OF THE 1993 EARNED INCOME TAX CREDIT EXPANSION ON THE LABOR SUPPLY OF UNMARRIED WOMEN 1.1 INTRODUCTION The Earned Income Tax Credit (EITC) is a refundable income tax credit targeted at Iow- and middle- income working families in the United States. The tax credit is paid as a lump sum with the annual tax return. Working as an earning subsidy, in theory, the EITC expansion will encourage labor force participation but reduce hours worked by EITC-eligible taxpayers who are already in the labor force. To avoid complicated joint labor supply decisions, existing research mainly focuses on the labor supply of unmarried women and suggests that EITC expansions increased the labor force participation, but reduced hours worked by women who were already in the labor force. I To examine the effect of the EITC on the intensive margin of labor supply, previous studies use Ordinary Least Squares (OLS) to estimate the total annual hours of work, which takes positive values and the value of zero for a nontrivial fraction. As a result, OLS provides inconsistent estimators (Wooldridge 2002). This study uses a Tobit model to estimate annual hours of work to correct the inconsistency problem. Moreover, this study accounts for the major welfare reform in 1996, which is another important government policy that significantly encourages labor supply among low-income people.2 Failure to control for welfare reform may overestimate the effects of the EITC expansion. ' See l-lotz and Scholz (2003) for a summary of labor supply response to the EITC. 2 See O’Neill and Hill (2001), Schoeni and Blank (2000) Grogger(2003), Kaushal and Kaestner(2005). To identify the effect of the EITC expansion in 1993 on labor supply response, this study uses a differential increase in the maximum credits available to a two-or-more child family relative to a one child family and a childless family. The Omnibus Budget Reconciliation Act 1993 (OBRA-93) Significantly increased the maximum credits available to a family with two or more children relative to that with one child and that with no children. In 2005 dollars the difference between the maximum credits available to a family with two or more children and a family with one child rose from $105 in 1993 to $1,745 in 1996 when OBRA-93 became fully effective. Likewise, relative to a family with no children, the difference rose from $2,042 in 1993 to $4,024 in 1996. In this study, I test whether differential increases in the maximum values of the EITC available to unmarried women with two or more children (the treatment group) compared to those with no children (the comparison group (A)) and those with one child (the comparison group (B)) resulted in differential changes in their labor supply.3 Using data from the March Current Population Survey (CPS) during the 19905, results suggest that after the 1993 EITC expansion, the treatment group increased their probability of labor force participation relative to the comparison groups (A) and (B) by 3.6 and 3.0 percentage points, respectively. However, between the comparison groups (A) and (B), I do not find any statistically Significant change in their labor force participation.4 For the effect on the intensive margin of labor supply, my findings suggest that the previous work may underestimate the effect of the EITC on the total hours of work. 3 Meyer (2002) examines the effects of the EITC on the labor supply of a variety of demographic groups and concludes that the EITC primarily affected unmarried women. 4 These findings are consistent with Hotz et al. (2005), who use Californian data to examine the EITC effects on the labor market participation. Using a Tobit model, my results Show that the treatment group increased their annual hours worked relative to the comparison groups (A) and (B) by 130 and 91 hours, respectively. However, when I restrict the sample to examine only the hours worked by those who were already in the labor force, I do not find any statistically significant change in annual hours worked by the treatment group compared with the comparison groups. Chapter 1 proceeds as follows: Section 1.2 discusses the structure of the EITC and its effect on labor supply. Section 1.3 reviews the previous work on the labor supply response to the EITC. Section 1.4 describes the identification strategy. Section 1.5 describes the data and empirical approach used in this study. Section 1.6 describes the regression specification and provides results. And, section 1.7 concludes. 1.2 INSTITUTIONAL DETAILS AND THEORETICAL PREDICTION A. The E] T C Structure and Its History The credit equals a specified percentage of earned income up to a maximum dollar amount over the “phase-in range.” Over a range of income termed the “flat range,” taxpayers receive the maximum credit. The credit then diminishes to zero over the “phase-out range.” 5 The EITC is refundable and claimants are paid regardless of whether the credit-qualified taxpayer has any federal income tax liability. The EITC payment is typically made once a year as an adjustment to tax liabilities or refunds.6 For those who have children and want to claim the EITC, their children need to pass an age, 5 Table A] in Appendix shows the EITC parameters between 1990 and 2000. 6 An “advance payment” option was added in 197 8 so that workers would be able, if they so chose, to receive the credit incrementally throughout the year. Only 1.1 percent of EITC recipients with children used the advance payment option in 1998 (Hotz and Scholz 2003). relationship, and residence tests to qualify. For example, the age test in 2000 requires the qualifying child to be under 19 years old or under 24 years old if she/he is a full-time student, or any age if she/he is completely disabled. The relationship test requires the claimant to be the parent or the grandparent of the qualifying child. The EITC has provided tax reductions and earning subsidies for low-and middle- income working families since 1975. The EITC payments were eroded by inflation until the Tax Reform Act 1986 (TRA-86) increased the maximum credit in 1987 to have a real value equal to that of the credit in 1975, and indexed the EITC value for inflation. The Omnibus Budget Reconciliation Act of 1990 (OBRA-90) introduced differential credit rates and maximum credits available to a family with one and a family with two or more children. However, it was OBRA-93 that substantially increased the maximum credit available for a family with two or more children, relative to that with no children and that with one child. OBRA-93 also expanded the beginning and ending incomes of the “phase-out range.” Figure 1.1 presents the maximum credits available to a family with two or more children, a family with no children, and a family with one child in 2005 dollars for the period from 1991 to 2000. The maximum credit available to a family with two or more children increased substantially between 1994 and 1996, becoming fairly constant afterward, as the reform was fiilly phased in (from $3,230 to $4,400). For a family with one child and a family with no children, the maximum credits increased after OBRA-93 was implemented, and become constant after 1994. The difference between maximum credits available to a family with two or more children and a family with no children rose from $2,042 in 1993 to $3,233 in 1996. Relative to the one child group, the difference rose from $104 to $1,404. In addition, OBRA—93 introduced the EITC to childless taxpayers aged between 25 and 65 years. «I -_ A, ,miLL A.;L bmm Figure 1.1 The EITC Maximum Credits during the 19905 S (in 2005 dollars) 4500 * 4000 W 3500 T 3000 2500 ‘ 2000 “ 1500 " 1000 500 * 1991 I992 I993 1994 1995 1996 1997 1998 1999 2000 Ybar EBB} Children E One C1616- TWo ChildreEI B. Theoretical Predictions From the static labor-leisure model, the EITC expansion affects the intensive and the extensive margins of the labor supply of unmarried women. For a non-worker who was out of the labor force before the expansion, the static labor-leisure model predicts that the EITC expansion will expand her budget set when she enters the labor force. With no earned income before the expansion, there will be only a positive substitution effect but no income effect due to an increase in the effective wage (marginal value of working). As a result, some will choose to participate in the labor force. For a worker who was already in the labor force, the effect of the expansion on her hours of work is ambiguous, depending on the range of EITC in which her income falls before and after the expansion. If her income falls in the “phase-in range,” in theory, there will be a positive substitution effect and a negative income effect, assuming that leisure is a “normal good.” Thus, the net effect is ambiguous. If her income falls in the “flat range,” there is only a negative income effect; consequently, the expansion leads to a decrease in hours of work. If her income falls in the “phase-out range,” a diminishing credit implies a lower effective wage relative to the absence of the EITC. This negative substitution effect results in a reduction in hours of work, as does the negative income effect. Finally, if her income was beyond the credit region, she may decide to reduce her hours of work to be eligible for the credit. With a substantial increase in the credit available to a family with two or more children, in theory, there will be a relatively larger increase in the labor force participation of the treatment group compared to the comparison groups. For the effect on hours worked, if their incomes fall in the “flat range” or the “phase-out range,” the treatment group will reduce their hours of work more than the comparison groups. If their incomes fall in the “phase-in range,” the effect is ambiguous due to a positive substitution effect and a negative income effect. 1.3 LITERATURE REVIEW Due to a substantial increase in the labor force participation of unmarried women during the 19903 and to avoid the complex joint labor supply decisions of husband and wife, most of the EITC studies focus on the labor supply decisions of unmarried women (with the exception of Dickert, Houser, and Scholz 1995; Eissa and Hoynes 2004; Heim 2005). In general, these studies find a positive effect of EITC expansion on the labor force participation of unmarried women. On the intensive margin, focusing on those who were already in the labor force, they do not find statistically significant effects on hours worked. Categorized by econometric methods, there are three strands of the previous work. The structural model “explicitly parameterizes the preferences and constraints facing individuals and then exploits the theory of optimal decision-making to characterize the likelihood function that is used to reconcile observed labor supply and program participation behaviors” (Hotz and Scholz 2003, p.181). However, the structural model is more complicated to estimate relative to other methods because it requires greater knowledge of the structure of individual and household preferences and their choice processes. The examples Of studies using the structural model are Keane (1995) and Keane and Moffitt (1998). They examine the EITC effect on the labor supply of single mothers. With the fourth wave of the 1984 Survey of Income and Program Participation (SIPP), they find that the EITC expansions between 1984 and 1996 led to an increase in the labor force participation of single mothers by 10.7 percentage points, from a base of 64.7 percent. In addition, they find that the expansions led to an increase in weekly hours of work from 24.1 to 26.5 hours. The second method is the quasi-structural model. To identify the effect on the EITC, this method employs variation in effective wages or effective tax rates. Dickert et al. (1995) use monthly data from the 1990 SIPP to examine the effect of the EITC on the labor supply of single parents and couples. Results from their simulation model Show that the EITC expansion in 1993 increased the labor force participation of single-parent families by 3.3 percentage points. For the intensive margin, with the assumption that new entrants work for 20 hours/week and 20 weeks/year, new entrants would increase hours of work by 72.8 million hours, but those who were already in the labor force would reduce hours of work by 26.4 millions hours. Using data from the 1984-1996 March and Outgoing Rotation Group (ORG) CPS, Meyer and Rosenbaum (2001) find that the EITC and other tax changes increased annual employment of single mothers by 7.2 percentage points, relative to single women with no children. The last method is the reduced-form model, which is the method I use in this study. The objective of this approach is to determine the overall effects of the policy changes on a particular behavior. The reduced-form model is commonly referred to as the natural experiment or the Difference-in-Difference (DID) approach. The advantage of this approach is simplicity and transparency in the assumptions that allow the identification of key parameters. Unlike a true experiment, in which treatment and comparison groups are randomly chosen, the treatment (affected) and comparison (not affected) groups in natural experiments arise from the particular policy change. Therefore, to control systematic differences between the treatment and comparison groups, two periods of data (before and after the policy change) are needed. Other exogenous variables, which are included in the regression equation, control for the fact that the populations sampled may differ systematically over the two periods (Wooldridge 2006). For example, Eissa and Liebman (1996) employ a DID approach with a treatment group of single women with children and a control group of those with no children to examine the effect Of the 1986 EITC expansion on the labor supply of single women aged between 16 and 44 years. Using the March CPS data from 1985 to 1987 and from 1989 to 1991, they find that the expansion resulted in a 2.8 percentage point increase (from a base of 74.2 percent) in labor force participation of the treatment group compared with that of the control group. However, they do not find any statistically significant change in armual hours worked by those single women who were already in the labor force. Using a longer time frame, Darragh (2002) replicates Eissa and Liebman’s 1996 study by using the March CPS data between 1982 and 1996 to focus on single women aged between 25 and 50 years. He finds that the 1986 EITC expansion led to an increase in labor force participation of single mothers by 1.7 percentage points relative to single women without children, while the 1993 expansion led to a larger increase, ranging between 3.5 and 4.9 percentage points. To avoid bias due to changes in the composition of treatment and comparison groups in repeated cross-sectional studies, Hotz et al. (2005) use longitudinal data between 1991 and 2000 from California’s Medi-Cal Eligibility Data System (MEDS) and the California Employment Development Department (EDD) Base Wage Files, as well as data from federal tax returns, to examine the effect of the EITC on labor market participation of single-parent families on welfare.7 Taking advantage of the longitudinal data, their empirical approach controls for covariates and household-specific fixed effects. They find that the 1993 EITC expansion resulted in an increase in employment by as much as 3.4 percentage points for families with two or more children relative to families with one child. 7 MEDS provides information on welfare program participation and demographic characteristics. EDD contains employer-reported taxable wage payments, labor force participation, employment, and earning. Finally, federal tax returns data provide tax filing and EITC claiming information. 1.4 IDENTIFICATION STRATEGY To identify the effect of the 1993 EITC expansion on the intensive and extensive margins of the labor supply of unmarried women, as discussed earlier, I use a differential increase in maximum credits available to those with two or more children (the treatment group) relative to those with no children (the comparison group (A)) and those with one child (the comparison group (B)). Using the DID approachs, the estimation strategy compares changes in the labor supply of the treatment and comparison groups before and after 1994. The comparison groups are also affected by the EITC expansion, and in theory, they are expected to move in the same direction as the treatment group. Therefore, the effect of the EITC on the labor supply in this study might be underestimated. To mitigate this potential problem, I include a variety of treatment and comparison groups. By selecting a sample based on marital status and using the number of children as a source of identification, I need to assume that marriage and fertility decisions are exogenous to the EITC expansion. Dickert-Conlin and Houser (1998) describe that the tax and transfer systems are not marriage neutral. They calculate the changes of tax liability and transfer benefits that would occur for a sample of unmarried women with children, if they were married and living with a spouse. They find that poor single women with children face a loss of transfer benefits if they marry, but the tax system (including the EITC) subsidizes marriage, and thus mitigates the loss in transfer benefits. On the other hand, near-poor single women with children not only faced a decline in transfer 8 Meyer and Rosenbaum (2000) suggest that after welfare reform, several welfare features, such as sanctions, diversion, time limits, and welfare to work program, are complicated to characterize when one uses the quasi-structural model. Thus, I choose to use the reduced-form method because the sample period in this study includes the years after welfare reform. 10 benefits but also an increase in tax liability if they marry. The empirical evidence on the effect of the EITC and tax system on these decisions is mixed. Hoynes (1997) concludes that marriage decisions are not sensitive to financial incentives. Ellwood (2000) finds little or no effect of the EITC and welfare on marriage. The empirical study of the EITC effect on the fertility decision is very limited. Using state-level data on birth rates, Baughman and Dickert-Conlin (forthcoming) find that the effect of the EITC expansions during the 19905 on fertility is significant only for higher-order births among white women. However, the effect is extremely small. 1.5 DATA AND EMPIRICAL APPROACH I use data from the March CPS Annual Demographic File The CPS is the monthly survey of unemployment and labor force participation of about 50,000 households, including labor market and income information for the previous year. 9 The sample period Of this study corresponds to 1991 to 1993 and 1995 to 2000 tax years. OBRA-93 became effective in January 1994, thus I drop the 1995 CPS data to allow one year for those women to adjust their labor supply response. The sample includes unmarried women, who were aged 25 to 55 years, were not self-employed, and filed either head-of-household or single tax return, depending on 9 I choose the March CPS over the Merged Outgoing Rotation Group (MORG) files because the MORG files do not contain data of the number of children between 1994 and 1998. Another potential dataset is the SIPP. However, I do not use data from the SIPP because in 1996 the SIPP was redesigned to over- sample of households from areas with high poverty concentrations. This will lead to a dramatic change in the distribution of labor supply and wages. In addition, before 1996, SIPP covered less than 20,000 households. 11 whether or not she has dependents.10 I exclude those aged younger than 25 years because of the concern that many of them were still in school, and because childless women must be between the ages of 25 and 65 to be eligible for the credit. I exclude those aged over 55, because they are less likely to participate in the labor force. The sample size, after pooling all nine years, is 82,064 observations. In addition to the number of children, following findings from EITC eligibility literature that women with lower education are more likely to eligible for the EITC, I also categorize the sample into four groups by their levels of education: Less than High School, High School, Some College, and College (see Dahl and Lochner 2005; Baughman and Dickert-Conlin forthcoming). Therefore, I expect that the treatment group with low education will increase their labor supply compared to the comparison groups. Table 1.1 presents the demographic characteristics, intensive and extensive margins of labor supply, and incomes of women in the sample. 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Swansea see 3.3 saga 05 5 Ba was» a BE: Ema gfifio Bag: 05 e 52% BEBE .Eo a8» 3.8 Ema. as?» causes. a Baas 2: $8.82 Ea maioa as mac» 3 an 633 $8.32 Ea 32-32 Eu 532 ”28 «8.2 mm? 08.2 QR 8.2 2.0 gm 2% mg cod 8.0 38 Ea saw as sagas 32% Beam : Be a: a: a: 58:5 02 =< 82:33 so .3 so: Amoco: 3.8.: Beam >5 .3 =82 AmooocsaegEas >5 .3 as: 32252 >5 .3 :82 56:5 .8385 14 Table 1.2 Labor Force Participation Rates of Unmarried Women Before and After 1994 (l) (2) (3) (4) Panel 1: All Before1994 Afier1994 Difference (2)-(l) DID Treatment group TwoPlus 0.647 (.007) 0.781 (.005) 0.134" (.009) Comparison group (A) NoChildren 0.863 (.003) 0.852 (.002) -0.010*"‘ (.003) 0.144" (.010) Comparison group (B) OneChild 0.805 (.006) 0.840 (.004) 0.035" (.007) 0.099” (.011) Panel [1: Less than High School Treatment group TwoPlus 0.390 (.015) 0.578 (.012) 0.189" (.020) Comparison group (A) NoChildren 0.560 (.012) 0.557 (.009) -0.002 (.014) 0.191" (.024) Comparison group (B) OneChild 0.545 (.019) 0.615 (.014) 0.070" (.024) 0.119” (.030) Comparison group (C) TwoPlus w/ College 0.870 (.013) 0.900 (.008) 0030* (.016) 0.156" (.025) Panel III: High School Treatment group TwoPlus 0.662 (.012) 0.795 (.008) 0.134" (.014) Comparison group (A) NoChildren 0.840 (.006) 0.817 (.004) -0.012“ (.007) 0.155” (.016) Comparison group (B) OneChild 0.820 (.009) 0.840 (.007) 0.020“ (.012) 0.113" (.019) Comparison group (C) TwoPlus w/ College 0.870 (.013) 0.900 (.008) 0.030“ (.016) 0.104“ (.021) Panel IV: Some College Treatment group TwoPlus 0.774 (.014) 0.853 (.009) 0.080" (.017) Comparison group (A) NoChildren 0.900 (.005) 0.888 (.004) -0.012" (.007) 0.091" (.018) Comparison group (B) OneChild 0.870 (.011) 0.880 (.007) 0.010 (.013) 0.070" (.021) Comparison group (C) TwoPlus w/ College 0.870 (.013) 0.900 (.008) 0.030‘ (.012) 0.049" (.023) The numbers showed are the estimates of mean. The numbers in parentheses are standard errors ” Statistically significant at 5% level ‘ Statistically significant at 10% level Data: March CPS 1992-1994 and 1996-2001 which are tax years of 1991-1993 and 1995-2000, The sample is unmarried women aged 25-55 years old Means are weighted with CPS March supplement weights Table 1.2 presents the labor force participation rates of unmarried women before and after 1994, as well as the changes categorized by levels of education and numbers of children.11 '2 Columns (1) and (2) show the average participation rates before and after 1994, and Column (3) shows the difference between them. Negative values mean that they decreased their participation rate. In Column (4), the DID estimates compare " Figure A.l to A.4 in the Appendix show the labor force participation of unmarried women between 1991 and 2000 ‘2 For the definition of labor force participation, 1 follow Eissa and Liebman (1996) who define labor force participation as working a positive number of hours during the year. Meyer and Rosenbaum (2001) also support this labor force participation definition. They suggest that “if our goal is to provide a sharp test of theoretical predictions, whether a woman worked last year is a better outcome measure." 15 changes of the labor force participation before and after 1994 between the treatment group and the comparison group. Panel 1 presents the participation rate categorized by the number of children and levels of education. Column (3) shows that, after 1994, the treatment group significantly increased their participation rate (13.4 percentage points) compared with the comparison groups (-1.0 and 3.5 percentage points). As a result, the DID estimates in Column (4) suggest that the treatment group increased their labor force participation rate relative to the comparison groups (A) and (B) by 14.4 and 9.9 percentage points. As discussed earlier, the EITC eligibility literature suggests that women with lower education tend to be more likely to be eligible for the credit. Therefore, in Panels 11, III, and IV, I focus on those who do not have a college degree as the treatment group and those with a college degree as the comparison group. 13 The DID estimates from Panels II, III, and IV suggest that the treatment group increased their labor force participation relative to the comparison groups. For example, from Panel II among high school dropouts, the participation rate of the treatment group increased by 19.1 percentage points relative to the comparison group (A), 11.9 relative to the comparison group (B), and 15.6 relative to the comparison group (C). The EITC expansion had the potential to not only affect the participation margin but also affect the intensive margin of the labor supply of unmarried women. Table 1.3 presents annual hours worked by unmarried women (including those with zero hour of work). In all panels, Column (3) shows that the treatment group and the comparison group (B) statistically increased their annual hours worked after 1994 (with the exception ‘3 In these panels I also include the comparison group (C), those with two or more children who hold a college degree, to compare the treatment group with more educated women who have the same number of children. 16 of the comparison group (B) in Panel IV). An increase in annual hours worked by the treatment group ranges from 185 in the Some College group to 319 hours in the Less than High School group. Moreover, the DID estimates in Column (4) suggest that the treatment group significantly increased their hours worked compared with the comparison groups. For example, in panel II, the treatment group increased their hours worked by 319 compared with the comparison group (A), 168 compared with the comparison group (B), and 236 compared with the comparison group (C). Table 1.3 Annual Hours Worked by Unmarried Women Before and After 1994 (Including those with zero hour of work) Panel 1: All Treatment group TwoPlus Comparison group (A) NoChildren Comparison group (B) OneChild Panel II: Less than High School Treatment group TwoPlus Comparison group (A) NoChildren Comparison group (B) OneChild Comparison group (C) TwoPlus w/ College Panel III: High School Treatment group TwoPlus Comparison group (A) NoChildren Comparison group (B) OneChild Comparison group (C) TwoPlus w/ College Panel IV: Some College Treatment group TwoPlus Comparison group (A) NoChildren Comparison group (B) OneChild Comparison group (C) TwoPlus w/ College (1) Beforel994 1074.350 (15.543) 1673.936 (7.364) 1436.422 (14.270) 516.313 (24.416) 950.750 (24.773) 312.553 (35.373) 1637.363 (33.962) 1035.679 (24.704) 1533.433 (13.533) 1456.323 (22.630) 1637.363 (33.962) 1313.299 (33.493) 1734.773 (15.274) 1593.677 (27.466) 1637.363 (33.962) (2) Afierl994 1339.433 (10.390) 1637.261 (5.359) 1562.500 (10.250) 335.237 (22.641) 950.633 (17.332) 963.233 (23.531) 1720.730 (21.200) 1336.759 (17.563) 1573.339 (10.195) 1556.664 (17.102) 1720.730 (21.200) 1503.514 (22.329 1736.573 (11.293 1629.533 (19.994 1720.730 (21.200 vvvv The numbers showed are the estimates of mean. The numbers in parentheses are standard errors " Statistically significant at 5% level ’ Statistically significant at l0% level Data: March CPS 1992-1994 and 1996-2001 which are tax years of 1991-I993 and 1995-2000, The sample is unmarried women aged 25-55 years old Means are weighted with CPS March supplement weights 17 (3) Difference (2)-(l) 264.583" 8.274 126.077" 318.969" -0.066 150.684" 82.862" 251.079" -l4.598 9984]" 82.862" l85.215" 1.800 35.91 I 82.862" (13.933) (9.103) (17.570) (33.293) (30.557) (45.445) (40.036) (30.314) (16.643) (23.405) (40.036) (40.254) (13.996) (33.973) (40.036) (4) DlD 256.307" B8505" 319.036” l68.285“ 236.107“ 265.678” lSl.238” l68.2l7" 183.4l4“ 149.303" 102.352‘ (21.055) (25.366) (45.194) (56.339) (52.074) (34.727) (41.542) (50.213) (44.511) (52.764) (56.774) Table 1.4 Annual Hours Worked by Unmarried Women Before and After 1994 (Conditional on Hours of Work Exceeding Zero) (1) (2) (3) (4) Beforel994 Afierl994 Difference (2)-(1) DID Panel I:All Treatment group TwoPlus 1659.791 (14.310) 1713.995 (9.226) 54.204" (17.026) Comparison group (A) NoChidren 1946.358 (5.683) 1979.985 (4.052) 33.627" (6.980) 20.577 (18.401) Comparison group (B) OneChild 1783.496 (11.689) 1859.418 (8.088) 75.922” (14.215) -21.718 (22.180) Panel II: less than High School Treatment group TwoPlus 1325.558 (39.205) 1444.87 (24.806) 119.312" (46.394) Compan'son group (A) NoChidren 1699.407 (25.907) 1705.399 (17.547) 5.992 (31.288) 113.320**(55.959) Comparison group (B) OneChild 1490.932 (39.596) 1567.064 (29.032) 76.132 (49.099) 43.180 (67.551) Comparison group (C) TwoPlus w/ College 1882.170 (25.888) 1911.482 (16.582) 29.313 (30.744) 90.000 (55.656) Panel III: High School Treatment group TwoPlus 1641.080 (22.491) 1680.774 (14.946) 39.695 (27.004) Comparison group (A) NoChidren 1895.978 (9.933) 1926.754 (7.353) 30.776” (12.358) 8.919 (29.698) Comparison group (B) OneChild 1776.771 (18.924) 1852.299 (13.524) 75.528" (23.260) -35.833 (35.640) Comparison group (C) TwoPlus w/ College 1882.170 (25.888) 1911.482 (16.582) 29.313 (30.744) 10.382 (40.919) Panel IV: Some College Treatment group TwoPlus 1703.499 (28.698) 1761.875 (18.859) 58.376“ (34.340) Comparison group (A) NoChidren 1928.185 (12.158) 1955.591 (8.722) 27.405“ (14.963) 30.970 (37.458) Comparison group (B) OneChild 1832.234 (21.807) 1852.707 (16.217) 20.473 (27.176) 37.902 (43.792) Comparison group(C) TwoPlus w/ College 1882.170 (25.888) 1911.482 (16.582) 29.313 (30.744) 29.063 (46.091) The numbers showed are the estimates of mean. The numbers in parentheses are standard errors ” Statistically significant at 5% level ‘ Statistically significant at 10% level Data: March CPS 1992-1994 and 1996-2001 which are tax years of 1991-1993 and 1995-2000 The sample is unmarried women aged 25-55 years old who have annual hours worked exceeding zero Means are weighted with CPS March supplement weights In theory, the EITC expansion is predicted to have reduced hours worked by unmarried women who were already in the labor force. Thus, in Table 1.4, I restrict the sample to include only those with annual hours of work exceeding zero. Column (3) in all panels still shows that annual hours worked increased after 1994. However, the DID estimates in Column (4) suggest that the treatment group did not statistically significantly increase their hours worked compared with the comparison groups (except in Panel 11, compared with the comparison group (A)). 1.6 REGRESSION SPECIFICATION AND RESULTS In Tables 1.2 and 1.3, the DID estimates show that the increases in the participation rates and annual hours of work of treatment groups are greater than those of the comparison groups for all cases. This suggests that a substantial increase in the maximum credits for the treatment group may be able to explain their increase in labor supply after 1994 relative to the comparison groups. However, the treatment and comparison groups are not observationally the same. For example, the treatment group tends to attain lower education, as shown in Table 1. In addition, major policy changes, such as welfare reform, may have had differential effects on comparison and treatment groups. To account for other characteristics and policy changes that could result in differential labor supply outcomes, I use a Probit model to analyze changes in the extensive margin and use an OLS estimation and a Tobit model to analyze changes in the intensive margin of labor supply. In the regression format, I include a dummy variable for having one child (OneChiId) and a dummy variable for having two or more children (TwoPlus) in the model. I control for other factors that may differentially affect the labor supply of unmarried women, including demographic and area characteristics, and other government programs. I estimate the following probit model: P (prlt=1) = a + flIOneChildt + flszoPlus, + fl3Afier1994,+ flaAfier1994,*0neChild,-, + fl5AflerI994 ,*Tw0Plus,-, + flaTANF), + fly Waiver), + BgUnemprs, + ,B,Year, + Bqu + 81‘: 19 where i indexes individuals and t indexes years. 11%).; is a dummy variable that equals 1 if a woman reported working at least one hour, and equals 0, otherwise.14 X), is a set of demographic characteristic variables. OneChildi, is a dummy variable that equals 1 if an unmarried woman had one child, and otherwise equals 0. TwoPlus), is a dummy variable that equals 1 if an unmarried woman had two or more children, and otherwise equals 0. )6) and ,6; measure the effect of the number of children on labor force participation of unmarried women that is not due to the EITC expansion. The inclusion of these two variables implies that the no children group is the base group. After1994, is equal to l for years after 1994, and otherwise equals 0. Therefore, ,83, represents the average change in labor force participation for both the treatment and comparison groups in the years after 1994, relative to those before 1994. From Panel I of Table 2, I expect ,83 to be positive if unmarried women increased their labor force participation, even after controlling for other factors. The coefficient of interest, ,65, measures the change in the probability of participating in the labor force of the two or more children group relative to the change of the no children group, all else equal. )64 measures the change of the one child group relative to the change of the no children group, all else equal. Theoretically, I expect ,64 and ,65 to be positive, which implies that the two or more children group and the one child group increased their probability of participating in the labor force after 1994, relative to the no children group. In addition, to measure the difference between the effect of the expansion on the probabilities of labor force participation of the two or more children '4 For the definition of labor force participation, I follow Eissa and Liebman (1996) who define labor force participation as “working a positive number of hours during the year.” As a definition check, I also use other positive numbers and find consistent results. 20 group and the one child group, I also estimate the same Probit model with the one child group as the base group.15 Besides the EITC expansion in 1993, the major welfare reform in 1996, the Personal Responsibility and Work Opportunity Reconciliation Act (PRWORA), may have increased the labor supply of low-income unmarried women during the 19905.16 Therefore, I also include Waiver”, a dummy variable that equals 1 for the year when the state where an unmarried woman lived implemented the Aid to F arnilies with Dependent Children (AFDC) waiver, and otherwise equals 0. These waivers were mostly designed to allow states to more stringently enforce work requirements for welfare recipients.” T ANF ,-, is a dummy variable that equals 1 for all years when the state had the Temporary Assistance for Needy Families (TANF) in place, and otherwise equals 0. TANF sets a maximum of 60 months of benefits within one's lifetime and requiring clients to find employment. To account for area characteristics, I include Unempru, the unemployment rate of the metropolitan areas and for unmarried women outside of metropolitan areas I use the unemployment rates at the state level. 18 In addition, to reflect the fact that the population ‘5 Because of nonlinearity of Probit model, I cannot use [35 - B4 to measure the difference. ‘6 The major provision of PRWORA included devolution of greater program authority to the state, ongoing work requirement, and five year maximum time limit (Blank 2002). Several studies examine the effect of welfare reform on labor supply. See, for example, Schoeni and Blank (2000), O’Neill and Hill (2001), Grogger (2003), and Kaushal and Kaestner (2005). I would like to thank Stacy Dickert-Conlin and Katie Fitzpatrick who kindly provided this dataset. Data of the AFDC waiver and TANF implementation are from http://aspe.hhs.gov/hsp/Waiver- Policies99/T able A.PDF and http://www.acf.hhs.gmLprograms/ofa/anweporm/chapter12/chap12.htm#4 . Data of expiration of AFDC waiver are from the HHS (http://www.acf.hhs.gov/programs/ofa/annuilreport6/chapter12/chap12.htm#4). ‘8 Data of the unemployment rate are from the Local Area Unemployment Statistics, Bureau of Labor Statistics. 21 may have different distributions in different time period, I include Yeart, a set of year dummies.19 Demographic characteristics include other income (in 10005 in 2005 dollars), the number of never married children in the family age between 7 and 18, the number of children in the family under age 6, and race. In addition, I include dummy variables for women’s ages and levels of education.20 Results Table 1.5 presents the marginal effects of the Probit model estimating the labor force participation of unmarried women between 1991 and 2000. All specifications include year dummies. Panel I reports the marginal effects when the no children group is the base group. In Column (1), when demographic characteristics are included, the marginal effects suggest that the probability of participating in the labor force of the two or more children group increased by 3.7 percentage points, compared with the no children group at statistically significant levels. When those demographic characteristics are not included, the marginal effect increases from 3.7 to 3.9 percentage points as shown in Column (2). To check the robustness of my result, in Column (3), I duplicate Eissa and Liebman (1996) by categorizing unmarried women into two groups; those with children and those with no children. With the different period of time, I find a very similar result as in Eissa and Liebman (1996). After 1994 unmarried women with children increased '9 Wooldridge (2006) suggests that in case of pooling independent cross sections across time such as CPS data, we should allow the intercept to differ across periods by including dummy variables for all except the base year (1991 is the omitted year in this regression). I include three dummy variables for education levels, which represent high school, some college, and college (less than high school is the omitted category); and five dummy variables for ages, which represent the ages of 3 1- 35, 36-40, 41-45, 46-50, and 51-55 (25-30 is the omitted category). 22 their probability of participating by 2.6 percentage points relative to those with no children. Using the smaller EITC expansion in 1986, Eissa and Liebman (1996) find a 2.8 percentage point increase. Back to results in Column (1), after controlling for other factors affecting the participation rate, dummy variables for the number of children and After1994, are not statistically different from zero. For the effect of welfare programs, the AFDC waivers have a significant effect on the labor force participation. Unmarried women who lived in states that were implementing a waiver have higher probability of participating in the labor force by 0.5 percentage points. On the other hand, I do not find a statistically significant effect of the TAN F implementation. A one percent increase in the unemployment rate lowers the probability of participating in the labor force by 0.5 percentage points. The estimate of Afierl 994,*0neChild,-, is not statistically significant. This suggests that the probability of the one child group participating in the labor force is not statistically different from the no children group. In Panel 11, when using the one child group as the base group, the marginal effect shows that after the expansion the two or more children group increased their probability of participating in the labor force by 3.0 percentage points, relative to the one child group. 23 Table 1.5 Marginal Effects of Probit model Dependent Variable:Labor force participation (1) (2) (3) Demographic Without Covariates With Children VS Characteristics With No Children Panel I: Relative to the comparison group (A): (the no children group) OneChild 0.007 (0.006) -0.014" (0.006) -0.006 (0.005) TwoPlus -0.012 (0.010) 0076" (0.007) ----- ----- Afterl994 .0015 (0.009) 0016* (0.009) -0014 (0.009) Afier1994‘0neChild 0.009 (0.006) 0.009 (0.006) 0.026" (0.004) Afierl994‘TwoPlus 0.037" (0.004) 0.039M (0.004) - -...._.. TANF 0.009 (0.008) 0.010 (0.008) 0.009 (0.008) Waiver 0.005" (0.003) 0.008" (0.003) 0.005“ (0.003) Unemployment rate -0.005" (0.001) 0006" (0.001) 0005" (0.001) Other income (10005) 0002" (0.001) ----- -0.002" (0.001) Number of children aged 7-18 0008" (0.003) ------ ------ -0.007" (0.002) Number of preschool children -0.026" (0.004) ------ ------ -0.024" (0.003) Nonwhite 0032" (0.003) ----- ------ -0.032“ (0.003) Aged 31-35 -0.002 (0.004) ----- ------ -0.002 (0.004) Aged 36—40 -0.007" (0.004) ------- ------ -0.007‘ (0.004) Aged 4145 0009" (0.004) mm .0009" (0.004) Aged 46-50 0009" (0.004) ----- ------ 0.010" (0.004) Aged 51-55 -0.014" (0.004) ----- ----- -0.014" (0.004) High School 0.034" (0.003) ......... .-....... 0.034" (0.003) Some College 0.053" (0.002) ------- --------- 0.053" (0.002) College 0.068" (0.003) ----- -------- 0.068" (0.003) No. of observations 82,064 82,064 82,064 Panel II: Relative to the comparison group (B): (the one child group) NoChildren -0.007 (0.005) TwoPlus -0.020" (0.009) Afier1994 0.001 (0.010) After1994“NoChi1dren -0.009 (0.006) Afterl994'TwoPlus 0.030" (0.006) Data: March CPS 1992-1994 and 1996-2001. The dependent variable is labor force participation. The sample is unmarried women aged 25-55 years old The robust standard errors are in parentheses. Regressions are weighted with March CPS weights. All specifications include year dummies. ” Statistically significant at 5% level ‘ Statistically significant at 10% level Demographic characteristic variables have the expected signs. All else equal, relative to childless women, women with a preschool child have 2.6 percentage points lower probability in participating in the labor force, while those who had an older child have 0.8 lower probability. Non-white unmarried women have a lower probability of participating in the labor force by 3.2 percentage points compared with white women. All else equal, older unmarried women have a lower participation rate. The level of education 24 has a positive effect on the participation rate.” Finally, an increase in other incomes by a thousand dollars lowers the probability of participating by 0.2 percentage points As discussed earlier, women with lower education are more likely to be eligible - f0r the EITC. Therefore, I expect that the high school dropouts and high school graduates would have a larger participation response than those with higher education. To test this hypothesis, I estimate Probit models of labor participation by levels of education with the same specification as in Column (1) in Table 1.5, but excluding dummies for levels of education. 2‘ I also estimate a Probit model by using the actual age and years of education (not dummy variables). Results are very similar to those of the specification above. But estimates of age and education variables are not statistically significant. 25 Table 1.6 Marginal Effects of Probit model by levels of education Dependent Variablchabor force participation Less than high school High school Some College College (1) (2) (3) (4) Panel 1: Relative to the comparison group (A): (the no children group) OneChild 0.071" (0.033) 0.010 (0.014) 0.008 (0.010) 0.001 (0.006) TwoPlus 0.016 (0.045) -0.032 (0.027) 0.012 (0.015) 0.001 (0.010) Afterl994 0.048 (0.034) -0.007 (0.023) 0.001 (0.020) 0.009" (0.006) Afierl994*0neChild 0.014 (0.039) 0.017 (0.013) 0.002 (0.01 1) 0.006 (0.005) Afier1994‘TwoP1us 0.122” (0.034) 0.063” (0.010) 0.019" (0.009) 0.011 (0.008) TANF 0.039 (0.045) 0.024 (0.020) 0.010 (0.014) 0.001 (0.006) Waiver 0.009 (0.019) 0.011 (0.007) 0.001 (0.005) 0.002 (0.002) Unemployment rate .0007" (0.004) 0.003" (0.002) 0.004" (0.001) 0.003” (0.001) Other income(1000s) -0.027" (0.003) 0.005" (0.001) 0.002" (0.001) 0.001” (0.001) Number of children aged 7-18 0008 (0.014) -0.006 (0.009) 0.013" (0.006) 0.008“ (0.004) Numberof preschool children 0070" (0.016) 0.026" (0.007) 0.029” (0.005) 0.016“ (0.005) Nonwhite 0.092“ (0.016) 0.039“ (0.007) 0.021" (0.005) 0.017" (0.003) Aged31-35 0.008 (0.023) 0.001 (0.009) 0.008 (0.007) 0.003 (0.003) Aged 3640 0.003 (0.025) 0.001 (0.009) 0.017” (0.008) 0.002 (0.003) Aged4l45 0.008 (0.026) 0.001 (0.009) 0.018" (0.008) 0006‘ (0.003) Aged 46-50 0.164 (0.025) -0.001 (0.009) 0.017" (0.009) 0.007“ (0.004) Aged51-55 0.165 (0.025) 0.002 (0.009) 0.034" (0.010) 0.010" (0.004) No. of observations 1 1,755 24,672 14,859 24,733 Panel H: Relative to the comparison group (B): (the one child group) NoChildren 0.072" (0.033) -0.010 (0.014) 0.008 (0.010) -0.001 (0.001) TwoPlus -0.057 (0.042) 0.044” (0.021) 0.004 (0.013) -0.001 (0.008) Afierl994 0.062 (0.042) 0.010 (0.026) 0.013 (0.020) 0.007 (0.005) Afierl994‘NoChildren -0.014 (0.039) -0.017 (0.014) -0.002 (0.01 1) 0.006 (0.007) Aherl994‘TwoPlus 0.109" (0.043) 0.050" (0.131) 0.017 (0.011) 0.007 (0.005) Data: March CPS 1992-1994 and 19962001. The dependent variable is labor force participation. The sample is unmarried women aged 25-55 years old The robust standard errors are in parentheses. Regressions are weighted with March CPS weights. All specifications include year dummies. ” Statistically significant at 5% level ‘ Statistically significant at 10% level Table 1.6 reports the marginal effects of Probit models by levels of education. In Panel I Columns (1), (2), and (3) show that, among high school dropouts, high school graduates, and college dropouts, the two or more children group increased their participation rate relative to the no children group by 12.2, 6.3, and 1.9 percentage points, respectively. However, I do not find any statistically significant change in the labor force 26 participation among those with a college degree. This might be because college women are almost all working. In Panel 11 of Table 1.6, the marginal effect shows that relative to the one child group, the two or more children group who are high school dropouts and high school graduates increased their participation rate by 10.9 and 5.0 percentage points, respectively. The effect of the EITC on hours of work Results in the previous section show that the EITC expansion in 1993 increases the labor force participation of unmarried women. This suggests that the EITC could result in an increase in total hours of work. On the other hand, theory predicts that the EITC expansion reduces hours worked by women already in the labor force. Previous studies use Ordinary Least Squares (OLS) to estimate the total annual hours and hours conditional on working. However, the total annual hours takes the value of zero for a nontrivial fraction and continuously distributes over positive values. As a result, OLS provides inconsistent estimators (Wooldridge 2002). To correct the inconsistency problem, I use a Tobit model to estimate total hours of work and use OLS to estimate hours worked by those who are already in the labor force. Following is the empirical model: Annual Hours), = y + 610neChild, + (52TwoPlus, + 53After1994, + 54After1994 ,*OneChild, + 65After1994 ,*TwoPlus, + 56TANFH + (5; Waiver), + (38Unemprs, + 6,Year, + 6kX,-, + 6;, where Annual Hours“ is the annual hours worked by unmarried women. 27 Table 1.7 presents results of the OLS estimation of annual hours of work. In Column (1), when conditional on annual hours exceeding zero, the coefficient of interest, 55, is not statistically significant.22 Consistent with Eissa and Liebman (1996), this suggests that among those who were already in the labor force, the two or more children group did not reduce their hours worked relative to the no children group. In Column (2), when the sample includes women who worked zero hours, the coefficient of interest suggests that after 1994 the two or more children group significantly increased their annual hours of work by 61 hours, relative to the no children group. While this methodology is consistent with previous works, for example Eissa and Liebman (1996), the estimate is inconsistent due to the fact that the variable of total hours of work takes a value of zero for a non-trivial fraction. Of the 86,051 unmarried women in my sample, 14,949 observations have zero hours worked. 22 The number of observation decreases by 14,949 to 71,102 observations. 28 Table 1.7 Results of OLS Estimation Dependent Variable: Annual Hours of Work Annual Hours Annual Hours Conditinal on Hours>0 Unconditional (1) (2) OneChild -35.229 ** (15.645) -44.034 " (13.519) TwoPlus -32.843 (27.781) -80.504 " (21.894) After1994 18.009 (11.738) 19.082 " (11.331) Afterl994‘OneChi1d 26.812 * (14.225) 31.874 "”" (13.866) Afterl994‘TwoPlus 23.888 (15.909) 60.725 " (14.396) TANF -6.622 (17.859) 6.489 (17.457) Waiver 4.273 (6.537) 9.856 (6.294) Unemployment rate -13.328 ** (1.557) -l6.569 " (1.491) Other income (10005) -9.426 ** (0.615) -10.558 " (0.536) Number of children aged 7-18 -38.628 ** (10.578) -23.505 " (7.725) Number of preschool children -99.989 ** (12.364) -80.967 ” (8.778) Nonwhite -27.972 ** (6.427) -60.363 " (6.099) Aged 31-35 71.995 ** (8.044) 60.652 " (7.944) Aged 36-40 94.314 ** (8.092) 78.391 " (7.977) Aged 41-45 99.741 ** (8.166) 82.868 " (7.988) Aged 46-50 109.259 ** (8.768) 91.726 *"‘ (8.459) Aged 51-55 101.982 ** (9.631) 79.070 " (8.953) High School 111.385 ** (11.304) 134.169 ** (8.701) Some College 116.602 ** (12.111) 170.217 " (9.723) College 164.755 ** (12.298) 220.187 " (10.031) No. of observations 71,095 86,043 R-squared 0.21 1 0.552 Data: March CPS 1992-1994 and 1996-2001 which are tax years of 1991-1993 and 1995-2000. The sample is unmarried women aged 25-55 years old The robust standard errors are in parentheses. Regressions are weighted with March CPS weights. All specifications include year dummies. ” Statistically significant at 5% level " Statistically significant at 10% level Table 1.8 presents the marginal effects from a Tobit model of total hours worked. In general, the Tobit estimates are larger (more positive) than OLS estimates in Table 1.7 (Column 2). This suggests that OLS estimates might be biased towards zero. In Table 1.8, the coefficient of interest on After] 994,*T woPlus, in Column (1) suggests that after 1994, relative to the no children group, the two or more group increased their total hours of work by 120 hours (compared to 61 hours from the OLS estimate). When the sample is categorized by levels of education, the marginal effects in Column (2) through (5) suggest that when compared with the no children group, the two or more children group who have less than high school, high school, and some college education increased their 29 total hours of work by 102, 126, and 85 hours, respectively. These estimates are statistically significant. However, I do not find any statistically significant change in hours worked among those with a college degree. The estimates of demographic characteristic variables have expected signs. All else equal, women with a preschool child worked an average of 136 hours fewer than those without a preschool child. Non-white women worked 55 fewer hours than white women. Women who are older or have higher education worked a greater number of hours. The waivers have a statistically positive effect on total hours worked by high school dropouts and high school graduates. 3O .1. 33V. .2. 832. V; 5.2V. V... $3. 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Unmarried women with two or more children increased their participation rate by 3 percentage points relative to those with one child (from a base of 78 percent). Assuming that an unmarried woman has income falling in the flat range before and after the EITC expansion in 1993, an increase in maximmn credits causes unmarried women with two or more children to have $906 more than those with one child. Their average income is $15,209. From a rough calculation, the upper bound of the elasticity of labor force participation with respect to earned income for unmarried women is 0.64. The elasticity of labor force participation is larger for those who did not have a college degree: 1.20 for the Less than High School group and 0.92 for the High School group.23 For the EITC effect on the intensive margins, I use the estimates fi'om a Tobit model, which corrects for the inconsistency problem. Following the same method, I find that the upper bound of the elasticity of total annual hours of work with respect to earned income is 1.10. Like in the participation margin, when categorized by education levels, the elasticity of total hours of work is larger in the lower education groups: 0.79 for the Less than High School group, 0.99 for the High School group, and 1.05 for the Some College group. For the College group, I do not find statistically significant increase in their total hours of work. 23 Hotz and Scholz (2003) estimate the elasticity of labor force participation from previous studies. The range is between 0.69-1.16. Focusing on single parents on welfare program between 1991 and 2000, Hotz et al. (2005) find that their employment elasticity with respect to disposable income is 1.3. 33 CHAPTER 2 THE INCIDENCE OF THE EARNED INCOME TAX CREDIT 2.1 INTRODUCTION The Earned Income Tax Credit (EITC) is a means-tested program that has subsidized low-income families in the United States since 1975. With a reduced role and relevance of the traditional welfare programs after welfare reform in 1996, the EITC has become the largest cash-transfer program for low-income families in the United States. In 2003, the EITC program paid $37.5 billion in income benefits to 20.8 million families and individuals (Center on Budget and Policy Priorities, 2005). The literature suggests that the EITC expansions substantially increased the labor force participation of unmarried women (Dickert, Houser, and Scholz 1995; Eissa and Liebman 1996; Meyer and Rosenbaum 2000; Darragh 2002; Hotz, Mullin, and Scholz 2006; Adireksombat 2007)‘ Interest in whether the EITC incidence is captured by the worker or the employer follows from the EITC’s larger role in increasing low-income workers’ labor supply. In theory, with an increase in labor supply, all else equal, the equilibrium wage will fall unless labor demand is perfectly elastic. With a lower wage cost, theory predicts that employers capture a share of the EITC benefits. The purpose of this study is to examine the effect of the 1993 EITC expansion on the gross wages of unmarried women. Because the effectiveness of the EITC of benefiting low-income families depends on its economic incidence, understanding the 1 See Hotz and Scholz (2003) for a summary of labor supply response to the EITC. 34 effect of the EITC on gross wages helps policymakers to have a more complete analysis to evaluate the EITC program. To investigate the incidence, I use cross-sectional and cross-time variation in the federal and state EITCs of the 1993 EITC expansion. The 1993 EITC expansion substantially increased the maximum credit available to a family with two or more children as compared to a family with no children and another family with one child. Differential increases in the credits imply that women with different numbers of children also experience differential changes in their marginal tax rates (MTRs). Using variation in the differential expansion by number of children, this study and other recent studies find that the 1993 EITC expansion increased the labor force participation of unmarried women with two or more children as compared to those with no children and those with one child (Hotz, et al. 2006; Adireksombat 2007). Due to the structure of the EITC, these labor supply increases are most highly concentrated in lower education labor markets (Dahl and Lochner 2005; Baughman and Dickert-Conlin forthcoming). Therefore, I consider whether there are differential effects on wages by education. I use data from the 1992 to 2001 March Current Population Survey (CPS) and the Merged Outgoing Rotation Group Files (MORG). The sample includes unmarried women aged 25-55 years. Using only the sample with observed wages to estimate a wage equation, Ordinary Least Squares (OLS) estimation generally produces estimators biased toward zero due to the sample selection problem (Hausman and Wise 1977). In my empirical method, I first test for selection bias in estimating wage equations. To my knowledge, no previous studies of the incidence of the EITC address this problem. I find no evidence of a sample selection problem and therefore I use OLS to estimate the wage 35 equation. Results suggest that there are no statistically significant decreases in wages received by unmarried women who are in markets most heavily affected by an increase in labor supply. With a positive effect on labor supply but no adverse effect on wages, this study supports the EITC as an effective anti-poverty instrument for unmarried women. Chapter 2 proceeds as follows: Section 2.2 discusses the structure of the EITC and its effect on wages. Section 2.3 reviews literature on the labor supply response of the EITC and the tax incidence. Section 2.4 describes data and the empirical method. Results are presented in Section 2.5 and section 2.6 concludes. 2.2 THE EITC AND ECONOMIC INCIDENCE A. The EIT C Structure and Its History The credit equals a specified percentage of earned income up to a maximum dollar amount over the “phase-in range.” Over a range of income termed the “flat range,” taxpayers receive the maximum credit. The credit then diminishes to zero over the “phase-out range.” 2 The EITC is refundable. Claimants are paid regardless of whether the credit-qualified taxpayer has any federal income tax liability. The EITC payment is typically made once a year as an adjustment to tax liabilities or refunds.3 For those who have children and want to claim the EITC, their children need to pass an age, relationship, and residence tests to qualify. For example, the age test in 2000 requires the qualifying child to be under 19 years old or under 24 years old if she/he is a full-time 2 Table A1 in Appendix shows the federal ElTC parameters between 1990 and 2000. 3 An “advance payment” option was added in 1978 so that workers would be able, if they so chose, to receive the credit incrementally throughout the year. However, in 1998, only 1.1 percent of EITC recipients with children used the advance payment option (Hotz and Scholz 2003). 36 student, or any age if she/he is completely disabled. The relationship test requires the claimant to be the parent or the grandparent of the qualifying child. Since it began in 1975, inflation eroded the EITC payments until the Tax Reform Act of 1986 (TRA-86) increased the maximum credit in 1987 to have a real value equal to that of the credit in 1975, and indexed the EITC value for inflation. The Omnibus Budget Reconciliation Act of 1990 (OBRA-90) introduced differential credit rates and maximum credits available to a family with one child and a family with two or more children. OBRA-93 substantially increased the maximum credit available for a family with two or more children, relative to that with no children and that with one child. OBRA-93 also expanded the beginning and ending incomes of the “phase-out range.” Figure 2.1 presents the maximum credits available to a family with two or more children, a family with no children, and a family with one child in 2005 dollars for the period from 1991 to 2000. The maximum credit available to a family with two or more children increased substantially between 1994 and 1996, becoming fairly constant afterward, as the reform was fully phased in (from $3,230 to $4,400). For a family with one child and a family with no children, the maximum credits increased after OBRA-93 was implemented, and became constant after 1994. The difference between maximum credits available to a family with two or more children and a family with no children rose from $2,042 in 1993 to $3,233 in 1996. Relative to the one child group, the difference rose from $104 to $1,404. In addition, OBRA-93 introduced the EITC to childless taxpayers aged between 25 and 65 years. 37 Figure 2.1 The EITC Maximum Credits duringthe 19905 S (in 2005 dollars) 4500 r 4000 3500 3000 2500 2000 ” 1500 1000 ‘ 500 . 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 Year No Children in One Child I the Children 1 The success of the federal EITC led a number of states to enact their own EITCs during the 19905.4 5 In 1989, only four states had EITCs and by 2000, the last year of my data, fourteen states and the District of Columbia had EITCs: Colorado, Illinois, Iowa, Kansas, Maine, Maryland, Massachusetts, Minnesota, New Jersey, New York, Oregon, Rhode Island, Vermont, and Wisconsin. The state EITCs are very similar to the federal EITC. These states use federal eligibility rules and calculate the state credit as a specified percentage of the federal credit.6 Therefore, the state EITCs also provide the same incentives to work and hence the same effects on wages as the federal EITC. The main difference between the federal and state EITCs is the reftmdable feature. In 2000, five of these states had non-refundable state EITCs.7 The credit rates also vary across states. For 4 See Johnson (2000) for a summary of the state EITCs during the 19905. 5 In 2006 tax year, eighteen states and the District of Columbia had state ElTCs (Nagel and Johnson 2006). 6 Using federal eligibility rules, Minnesota has its own credit structure that has major elements parallel to the federal structure. 7 Those five states were Illinois, Iowa, Maine, Oregon, and Rhode Island. 38 example, in 2000, Kansas’s EITC was 10 percent of the federal EITC and Wisconsin’s EITC varied with the number of children and was 43 percent of the federal EITC for families with three children. B. The Effects on the Labor Supply of Unmarried Women From the static labor-leisure model, the EITC expansion, resulting in changes in the MTR, affects both intensive and extensive margins of the labor supply of unmarried women. Therefore, in theory, the expansion leads to changes in the labor supply of those who were out of and those who were already in the labor force. For a non-worker who was out of the labor force before the expansion, the EITC expansion results in only a positive substitution effect but no income effect and hence increases the incentive to work. For a worker who was already in the labor force, the effect of changes in the MTR on her labor supply depends on the EITC range in which her income falls before and after the EITC expansion. If her income falls in the “phase-in range,” with a negative MTR, there will be a positive substitution effect and a negative income effect. Thus, when leisure is assumed to be a “normal good,” the net effect on labor supply is ambiguous. If her income falls in the “flat range,” the MTR is zero. Thus, there will be only a negative income effect. As a result, the effect of the EITC will lead to a decrease in hours of work. If her income falls in the “phase-out range,” a positive MTR implies a diminishing available credit and hence a lower effective wage relative to the absence of the EITC. This negative substitution effect results in a reduction in hours of work. Moreover, there is a negative income effect that leads to a further reduction in hours of work. Finally, if 39 her income is beyond the credit region, she may decide to reduce her hours of work to be eligible for the credit. C. The Eflects on the Wages of Unmarried Women As discussed in Part B, the EITC expansion results in changes in unmarried women’s incentives to work. With mixed effects on individual decisions to work, existing research suggests that the EITC expansion increased the labor supply of unmarried women (Dickert, et al. 1995; Eissa and Liebman 1996; Meyer and Rosenbaum 2000; Hotz, et al. 2006; Adireksombat 2007), but decreased the labor supply of married women (Dickert et a1. 1995; Eissa and Hoynes 2004). In addition, among unmarried women, the EITC expansion substantially increased the labor market participation of those with two or more children as compared to those with no children and those with one child (Hotz, et al. 2006; Adireksombat 2007). All else equal, the change in unmarried women’s labor supply might lead to a wage drop. However, because unmarried women workers are only part of the labor market, the effect of the EITC expansion on wages also depends on the overall effect on the labor supply of other workers (for example, married women and men), their elasticity of labor supply, and their elasticity of labor demand. Figure 2.2 demonstrates a simple labor demand and labor supply model and the changes in the labor supply of those women after the 1993 EITC expansion. I assume that there are three types of employees in the labor market: those with two or more children (Twoplus), those with no children and those with one child (N oChildren and OneChild), and the married women group.8 The first three diagrams show changes in the labor supply of married women, the Nochildren and OneChild group, and the Twoplus group, 8 I do not include male workers in this model. The literature suggests that wage changes have a very small effect on male workers’ work decisions (See, for example, Pencavel I986; Triest 1990). 40 respectively. The last diagram shows the overall effect of the changes in labor supply on the gross wage. The model predicts that with an increase in the aggregate labor supply due to the EITC expansion, the gross wage is driven down fiom W0 to WI. With a decreasing wage, employers enjoy paying lower wage costs. All employees receive a lower gross wage at W1. However, with the EITC, the Nochildren and OneChild group and the Tw0plus group earn a higher net wage at W”.9 Only the married women group suffers from a lower gross wage, but do not receive a higher net wage.10 This simple model predicts that the equilibrium wage will be driven down afier the EITC expansion for everyone in the same labor market. This implies that employers capture a share of the EITC benefits. 9 Note that, with a smaller EITC available to the Nochildren and OneChild group, their net wage is lower than that of the Twoplus group. 1° For simplicity, I assume that married women do not receive the EITC. Baughman and Dickert-Conlin (forthcoming) find that among married women in their sample only 15.6 percent of them are eligible for the EITC and most of their incomes are in the “phase-out range.” 41 Figure 2.2 Labor Demand and Labor Supply 4’ Ls‘ \ WN WO WI \ Ls0 Married NoChildren and Women OneChild v V TwoPlus Labor Market 42 2.3 LITERATURE REVIEW A. Labor Supply Response of the E1 T C Due to the substantial increase in labor force participation and a desire to avoid the complexity of analyzing the joint labor supply decisions of husband and wife, most studies focus on the labor supply decisions of unmarried women. Using different amounts of credits available to families with children and those with no children as the identification strategy, the early studies of the labor supply response of the EITC find that the EITC expansions increased the labor force participation of single mothers. However, they do not find statistically significant effects on hours worked (Dickert, et al. 1995; Keane 1995; Eissa and Liebman 1996; Keane and Moffitt 1998; Ellwood 2000; Meyer and Rosenbaum 2001; Darragh 2002). With a substantial increase in the maximum credits available to a family with two or more children under the 1993 expansion, more recent studies compare the labor force participation of unmarried women with two or more children with those with no children and those with one child. For example, Hotz, et a1. (2006) use longitudinal data between 1991 and 2000 from California’s Medi-Cal Eligibility Data System (MEDS) and the California Employment Development Department (EDD) Base Wage Files as well as data from federal tax returns to examine the effect of the EITC on labor market participation of single-parent families on welfare.ll Taking advantage of the longitudinal data, their empirical approach controls for covariates and household-specific fixed effects. Their preferred result shows that the 1993 EITC expansion increased employment by as much ” MEDS provides information on welfare program participation and demographic characteristics. EDD contains employer-reported taxable wage payments, labor force participation, employment, and earning. Finally, federal tax return data provide tax filing and EITC claiming information. 43 as 3.4 percentage points for families with two or more children relative to those with one child. In addition, the EITC accounted for 11.8 percent of the average increase in employment over this period. Using the same identification strategy, Adireksombat (2007) uses national survey data, the March CPS, fi'om 1991 to 2000 to examine the effect of the 1993 EITC expansion on the labor supply of unmarried women. He finds that the expansion resulted in an increase in the probability of the labor force participation of unmarried women with two or more children by 3.6 percentage points relative to those with no children and 3.0 percentage points relative to those with one child. In addition, Adireksombat examines the effect of the 1993 EITC expansion on hours of work. Like in the participation margin, he finds that unmarried women with two or more children increased their total annual hours worked, compared to those with no children and those with one child. However, when only those who were already in the labor force were included in the sample, he does not find a statistically significant change in their annual hours worked. As discussed in Section 2.2, married women are another group that might be in the same labor market as unmarried women. The existing research suggests that the EITC expansions decreased the labor force participation of married women (Dickert et a1. 1995; Eissa and Hoynes 2004). Due to the substantial increase in the labor force participation of unmarried women after the 1993 EITC expansion, it is especially important to correct for the decision to work in a wage regression, when we examine the effect on wages. 44 B. Tax Incidence The early works of tax incidence studies use theoretical and numerical simulation models to analyze the economic incidence of the tax policy. 12 More recent studies employ econometric techniques and micro-datasets, such as data fi'om the CPS and the Survey of Income and Program Participation (SIPP), to estimate tax burden and their distribution across individuals. The advantage of micro data is that it allows researchers to calculate tax burden across demographic characteristics and to analyze the tax incidence by taking into account the interaction among taxes and government programs. Recent studies, including this one, employ reduced-form models or natural experiments (commonly referred to as the Difference-in-Difi’erence (DID) approach).13 The advantage of the DID approach is simplicity and transparency in the assumptions that allow the identification of key parameters. Unlike a true experiment, in which treatment and comparison groups are randomly chosen, in natural experiments the treatment group (affected) and the comparison groups (not affected) arise from the particular policy change. Therefore, to control systematic differences between the treatment and comparison groups, two periods of data (before and after the policy change) are needed. Using variation in state legislation over time with data from 1979-1981 and 1987- 1988 CPS and the Bureau of Labor Statistics, Gruber and Krueger (1991) examine the economic incidence of the workers’ compensation insurance. They find a negative relationship between workers’ compensation insurance rates and wages. For example, 86 percent of increases in workers’ compensation costs are shifted to workers in terms of '2 See Fullerton and Metcalf (2002) for a summary of tax incidence literature. ‘3 See, for example, Gruber (1994) and Kubik (2004) 45 lower wages. Gruber (1994) also uses variation across states and CPS data to estimate incidence in a DID framework. He examines the economic incidence of mandated maternity benefits and finds that there was a 4.3 percent wage decrease for childbearing women in states that passed the law relative to women in states that did not. Several studies use a tax reform to identify the economic incidence. Using Chilean data, Gruber (1997) employs a dramatic reduction in the payroll tax burden on Chilean firms between 1979 and 1986 to identify the payroll tax incidence, which he finds is fully borne by workers. Bingley and Lanot (2002) propose a model of the determination of equilibrium wages and labor supply in the presence of income tax. Using Danish longitudinal data, they find that the elasticity of gross wage with respect to the income tax rate is 0.44. This implies that the tax incidence is not fully borne by workers, but partially shifted to employers. Kubik (2004) uses the CPS data to study the short-run incidence of personal income taxation in the United States by examining how the wage structure was shifted afier TRA-86. He finds that in an occupation where the median MTR decreased by 10 percent, the median wage decreased by 1.3-2.5 percent. With a much larger body of research on the incidence of income and payroll taxes, the incidence of the EITC has not been widely explored yet. One exception is Leigh (2005), who uses data from the CPS and the MORG between 1989 and 2002 to examine the effect of the EITC on the hourly wages and the labor supply of male and female workers (both married and unmarried), aged between 25 and 55. Using variation in state EITCs, he does not find a statistically significant effect of changes in the average tax rates due to the EITC expansions on wages. Using another measured source of variation, Leigh calculates the fraction of EITC-eligible employees in 46 each labor market and uses them as simulated instruments for the EITC parameters. He finds that a 10 percent increase in the fraction of EITC eligibles leads to a 6 percent decrease in wages when labor markets are categorized by three-digit occupation codes and a 4 percent decrease when categorized by the employees’ gender, age, and education. In his sample, Leigh uses only individuals who were already in the labor force. This might lead to a sample selection problem, producing biased and inconsistent estimators (Wooldridge 2002). Using the same dataset as Leigh (2005), Rothstein (2007) examines the effect of the 1993 EITC expansion on the labor supply and wages of women aged 16-64 between 1991 and 1996. Rothstein employs a semi-parametric estimation method with a DID approach to obtain estimates of female labor supply and wage changes at each point in the skill distribution before and after the 1993 EITC expansion. He finds that the expansion leads to increases in the labor force participation of low- and middle-skill single mothers. Results from his simulation model suggest that for every dollar spend expanding the EITC, wages fall by enough to reduce single mothers’ earnings by $0.30 and those for women with no children by $0.43. In his analysis, Rothstein does not include any non-tax means-tested transfer programs, which is another government policy that has significant effects on the labor supply of low income families.14 This chapter extends the existing literature by analyzing the EITC incidence using variation from both federal and state EITCs, controlling for substantial non—tax policy variation due to welfare reform in 1996, and accounting for the sample selection problem ‘4 See Schoeni and Blank (2000), O’Neill and Hill (2001), Grogger (2003), and Kaushal and Kaestner (2005) for the effect of welfare reform on the labor supply of low-income families. 47 and the endogeneity of the EITC. In addition, instead of using estimated skill distribution, this paper uses levels of education to categorize labor markets. 2.4 DATA AND EMPIRICAL METHOD A. Data I use pooled cross section CPS data from 1992—2001 (describing data in 1991- 2000 tax years). CPS is the United States govemment’s monthly household survey of employment and labor markets. Wage data are from the MORG, extracted from the CPS Annual Earnings File by the National Bureau of Economic Research (N BER).15 This dataset provides consistent hourly gross wage data. However, the MORG does not identify the number of children during the 1994-1998 survey years and incomes, which I use to calculate the MTRs, for the whole sample period. To attain data of numbers of children and incomes, I extract them from the March CPS Annual Demographic File. For the matching method, I follow Madrian and Lefgren (1999) by using the household identification, household number, and person line number in the household.16 The sample in this study includes unmarried women aged 25-55 who were not self-employed. I exclude self-employed women because their wage rate is too complicated to calculate, which might lead to an inconsistent result of wage rates. The resulting sample is 13,237 observations. ‘5 Every household that enters the CPS is interviewed each month for 4 months, then ignored for 8 months, then interviewed again for 4 more months. If the occupants move, the new occupants are interviewed. Usual weekly hours/earning questions are asked only at households in their 4'” and 8th interview. These outgoing interviews are the only ones included in the extracts. New households enter each month, so one fourth the households are in an outgoing rotation each month. '6 Household identification is a unique household identifier. Household number notes which household is living at this address. Person line number is useful in matching individuals across years. Madrian and Lefgren (1999) suggest that the unique and consistent combination of these three variables is able to match CPS respondents. 48 Table 2.1 presents descriptive statistics for my sample of unmarried women. Average wages received by women in my sample vary significantly across levels of education ($9.57 for Less than High School, $12.58 for High School, $14.27 for Some College, and $19.68 for College). Those with lower education are also less likely to participate in the labor force and work fewer annual hours. In addition, other demographic characteristics vary across levels of education. Those with lower education tend to have more children, have less income from other sources, be less likely to be a union member, and are more likely to be non-white. Table 2.1 Summary Statistics Less than High School Some College College High School Wage 9.57 12.58 14.27 19.68 (in 2005 dollars) [5.70] [6.49] [9.79] [10.12] Labor Force 0.40 0.68 0.75 0.84 Participation [0.49] [0.47] [0.43] [0.35] Annual hours 870.32 1447.25 1604.35 1844.56 of work [958.29] [915.34] [872.22] [787.23] Number of Children 1.17 0.83 0.74 0.43 [1.37] [1.07] [1.03] [0.79] Age 38.80 38.14 37.44 37.40 [8.99] [8.69] [8.60] [8.64] Other income 2.64 2.79 3.57 4.41 (in thousands [5.33] [6.93] [8.45] [l 1.78] of 2005 dollars) Union Member 0.04 0.08 0.09 0.13 [0.21] [0.28] [0.29] [0.34] Nonwhite 0.36 0.29 0.30 0.21 [0.48] [0.45] [0.45] [0.41] Observation 1,764 4,473 2,855 4,145 Data: Merged Data form the 1 992-200! March CPS and MORG CPS The numbers shown are the estimates of mean. The numbers in parentheses are standard deviations The sample is unmarried women aged 25-5 5 years old. Wages are in 2005 dollars. Labor force participation equal one if wage data is not missing. zero otherwise. Means are weighted with CPS MORG weights. 49 B. Empirical Approach To justify defining my labor markets by education level, I first illustrate how the law change affected skill levels differentially. Using TAXSIM, a tax simulation model prepared by the NBER”, with income data from the March CPS, I calculate the marginal tax rates (MTRs) under federal and state income tax laws experienced by women in my sample.l8 Tax rates depend not only on tax laws but also on various characteristics over time. To isolate the effects of the tax reform from the effect of changes in the characteristics and composition of the sample I use the same sample to calculate tax rates for all years.19 I use the sample from the 1995 March CPS (describing data for the 1994 tax year) and adjust their incomes with the Consumer Price Index to convert them into 1991-2000 dollars. Then, I use the TAXSIM to calculate the MTRs and their changes (before and afier 1994) experienced by unmarried women by year, state, education, and number of children. Table 2.2 presents the median MTRs and their changes experienced by unmarried women before and after 1994 by education level.20 Under OBRA-93, the EITC expansion is the tax policy change that is most likely to affect low-income families.21 Column 3 shows changes in the median MTRs after 1994. Negative values mean that they experienced a decrease in their median MTRs. After 1994, women with Less than High School, High School, and Some college education (Treatment Groups) experienced a '7 See F eenberg and Coutts (1993) for a description of the TAXSIM calculator. ‘8 Marginal tax rates are the effective marginal tax rates, which are calculated by adding a dollar to income. '9 This approach is used in several tax studies, for example, Dickert-Conlin and Houser (2002) and Kubik (2004). 2° To avoid the effect of outlier observations, 1 use median. Using the mean MTR also presents consistent results. 2' Other policy changes are more likely to affect high-income taxpayers. For example, OBRA-93 imposed a 36 percent tax bracket for taxable incomes over $140,000 for joint filers and $115,000 for individuals and a 39.6 percent tax bracket for both joint and individual filers for taxable incomes over $250,000. See Steuerle (2002) for a summary of tax policy changes under OBRA-93. 50 significant decrease in their MTR (approximately 11, 14, and 4 percentage points, respectively). However, those with a College degree (Comparison group) experienced a very small change in MTRs (one percentage point). Column (4) presents the difference in changes of the median MTRs between the treatment and the comparison groups. These estimates suggest that relative to the comparison group, women in Less than High School, High School, and Some College groups experienced a larger MTR decrease by 10, 13, and 3 percentage points. Table 2.2 Median Marginal Tax Rates of Unmarried Women Before and After 1994 Before Alter Difference (2)-(1) Differender,,,,,,,,,,,,,,-Dit‘ferencec,,,,,p,,,,,on (1) (2) (3) (4) Less than high school -5.35 - 16.44 -1 1.09 -10.09 High school 15.00 0.80 -l4.20 -l3.20 Some college 12.33 7.93 -4.40 -3.40 College (Comparison) 21.00 20.00 -1.00 ---------- Sample: lmmanied women aged 25-55 excluding those who were self-employed from the 1995 March CPS. Table 2.2 shows that women with only a high school education experienced the largest decreases in their MTR, primarily due to expansion in the EITC, therefore I expect larger changes in labor force participation rates and wages in the High School group and smaller changes in Less than High School and Some College groups, relative to the comparison group. 51 Table 2.3 Labor Force Participation Rates of Unmarried Women Before and After 1994 Before After Difference (2)-(1) Difference-in-Difference (1) (2) (3) (4) Less than High School 0.47 0.58 0.11 "* 0.10 "‘** (0.02) (0.02) (0.03) (0.03) High School 0.77 0.81 0.04 "** 0.03 ** (0.01) (0.01) (0.01) (0.01) Some College 0.83 0.88 0.05 "* 0.04 ** (0.01) (0.01) (0.01) (0.02) College (Comparison) 0.92 0.93 0.01 (0.01) (0.01) (0.01) The numbers shown are the estimates of mean. The numbers in parentheses are standard errors. ‘” Statistically significant at 1% level “ Statistically significant at 5% level " Statistically significant at 10% level Data: Merged Data form March CPS and MORG CPS 1 992-2001. The sample is unmarried women aged 25-55. Means are weighted with CPS MORG weights. Table 2.3 presents the labor force participation rates of unmarried women. 22 Columns (1) and (2) show the average participation rates before and after 1994, and Column (3) shows the difference between them. As expected, the treatment groups significantly increased their labor force participation compared with the comparison group. While women with a college degree increased their labor force participation rate by only one percentage point, those with Less than High School, High School, and Some college education increased their participation rate by 11, 4, and 5 percentage points, respectively. The Difference-in-Difference (DID) estimates in Column (4), which compare changes of the labor force participation before and after 1994 between the treatment group and the comparison group, suggest that the treatment groups increased 22 For the definition of labor force participation, I follow Eissa and Liebman (1996) who define labor force participation as working a positive number of hours during the year. As a sensitivity check, I use wage observability as another definition, and find consistent results. 52 their labor force participation rate relative to the comparison group by 10, 3 and 4 percentage points, respectively. Table 2.4 Wages for Unmarried Women before and After 1994 (in 2005 dollars) Before After Difference (2)-(l) Difference-in-Difi‘erence (1) (2) (3) (4) Less than high school 9.4] 9.64 0.23 —0.38 (0.35) (0.29) (0.46) (0.59) High school 12.15 12.53 0.38 -0.23 (0.18) (0.17) (0.46) (0.45) Some college 14.32 14.25 -0.06 -0.67 (0.25) (0.21) (0.33) (0.49) College (Comparison) 19.28 19.89 0.61 ---- (0.28) (0.24) (0.47) -—-- The numbers shown are the estimates of mean. The numbers in parentheses are standard errors. “"' Statistically significant at I % level “ Statistically significant at 5% level "' Statistically significant at 10% level Data: Merged Data form March CPS and MORG CPS [992-2001. The sample is unmarried women aged 25-55 with observable wages. Means are weighted with CPS MORG weights. Table 2.4 shows wages in 2005 dollars received by unmarried women before and after 1994 by education level. Column 3 presents changes in their wage rates. Negative values mean that the group experienced a wage drop after 1994. Estimates in Column 3 suggest that most of the women in the sample did not experience a statistically significant change in their wage after 1994. Column 4 reports the change in the wage rate of the treatment group compared with the comparison group. The DID estimates in Column 4 suggest that the treatment groups experienced a larger wage drop than the comparison group. However, these estimates are not statistically significant. Although these descriptive statistics are informative, the groups are not observationally the same and it is necessary to control for these differences to isolate the effect of the reform. For example, the treatment groups tend to have more children and 53 have less income from other sources as shown in Table 2.1. In addition, major policy changes, such as welfare reform, may have had differential effects on the labor force participation and hence the wages of treatment and comparison groups. To account for other characteristics and policy changes that could result in differential changes in labor force participation and wages, I use a Probit model to analyze individual decisions to work for women in my sample. In the wage analysis, I start with testing for evidence of selection bias. If there is a sample selection problem, I use a Heckit Two-Step method, if not, I use OLS to analyze changes in their gross wages. Following is the empirical model: Labor force participation equation Pflfpir—“U = a0 + alAfter1994, + azEducationj + ajAfierI994,*Education,- + a 3 MT Rjks,+ aMaxBenefitsk, +a5 Waivers, + a6 TANF.“ + a 7Unemprs, + a,Year, +a,State, + ak/Yg'sk; + ail-5k, (1), Wage equation log(wage,-jsk,) = ,80 + BIAfter1994, + ,8 2Educationj + ,6,After1994,*Educationj + B3MTRJ-ks +B4Unemprs, + fl5lamda+ B,Year, + BsState, + )Bk Xyskr + 8 ijskt (2), where i indexes individuals, j indexes education levels, t indexes years, s indexes states, k indexes numbers of children. In the labor force participation equation, [fan is a dummy variable equal to 1 if a woman reported working at least one hour that year, and equals 0 otherwise. Afier1994, is equal to 1 for all years after 1994, and equals 0 otherwise. Education]- is a set of 54 dummy variables for levels of education.23 Thus, a,- measures the differential effect of education levels on the probability of labor force participation. MTR)“, is the median MTR faced by unmarried women in state s with j education, k children in year t. All else equal, (12 measures the effect of the median MTRs on the probability of labor force participation. Equation (1) also includes a set of demographic characteristic variables, Km, to control for differences in population sampled over time. Demographic characteristics include the number of never-married children in the family between ages 6 and 18, the number of children in the family between ages 0 and 5, other income (in thousands of 2005 dollars), dummy variables for race, status of union membership, and age categories.24 To account for area characteristics, I include Unemprm the unemployment rate of the metropolitan areas. For unmarried women outside of metropolitan areas, I use state level unemployment rates.25 Besides the EITC expansion in 1993, the major welfare reform in 1996 under the Personal Responsibility and Work Opportunity Reconciliation Act (PRWORA) may have increased the labor supply of low-income, unmarried women during the 19903.26 Officially the Aid to Families with Dependent Children (AFDC) became Temporary Assistance to Needy Families (TAN F) and the major provisions included devolution of greater program authority to the state, ongoing work requirements, and a five year 23 I include three dummy variables for education levels; Less than High School, High School, and Some College (College is the omitted category). 2‘ 1 include five dummy variables for ages; 31-35, 36-40, 41-45, 46-50, and 51-55 (25-30 is the omitted category). 25 Data of the unemployment rate are from the Local Area Unemployment Statistics, Bureau of Labor Statistics. 2" Several studies examine the effect of welfare reform on labor supply. See, for example, Schoeni and Blank (2000), O’Neill and Hill (2001), Grogger (2003), and Kaushal and Kaestner (2005). 55 maximum time limit (Blank 2002). To capture welfare reform effects, I include Waiver", a dummy variable that equals 1 for the year when the state adopted a waiver to reform AFDC, and otherwise equals 0. TANF), is also a dummy variable that equals 1 for all years when the state had TAN F in place, and otherwise equals 0. Moreover, I include MaxBenefitskb a sum of maximum benefits from AF DC/T AN F and food stamp programs (in hundreds of 2005 dollars), as a proxy for the outside option for those unmarried women when they were not working.27 In the wage equation (equation (2)), the dependent variable is log(wage gm), which is the log of wages (in 2005 dollars). The independent variables are the same as in equation (1), but exclude MaxBenefitsm, Waiver“, TANF”, and other income, which are used as exclusion restrictions.28 To control for unobservable effects that are fixed over time within state, I also include States, a set of dummy variables for states. Moreover, I include Year,, a set of year dummies, to control for changes in the wage structure relative to 1991, which is the omitted year in the regression.29 As discussed earlier, in case there is evidence of selection bias, the wage equation (equation (2)) is estimated by the Heckit Two-Step method. With this method, the wage equation also includes the estimate of the inverse Mills Ratio, lambda, which can be used to test for evidence of a sample selection problem. 27 I would like to thank Dan Rosenbaum who kindly provides the data of the maximum benefits from 1991- 1997. Data from 1998-2000 are from 1998 and 2000 Green Books and the Welfare Rules Database, the Urban Institute. Other income is used by previous works (See, for example, Mroz 1987). For welfare reform, existing studies suggest that the welfare program has a significant effect on labor supply (See, for example, Schoeni and Blank 2000; Grogger 2003). However, it does not have a significant effect on wages (Grogger 2005). 2” Wooldridge (2006) suggests that in the case of pooling independent cross sections across time, such as the CPS data, to reflect the fact that the population may have different distributions in different time periods, we should allow the intercept to differ across periods by including dummy variables for all but one year. 56 The coefficients of interest in the wage equation, ,6) , measure whether those women who did not have a college degree experience a differential wage change after 1994 relative to the College group. With a greater decline in the MTRs faced by the treatment groups as shown in Table 2.2, and assuming that the substitution effect dominates the income effect, I expect a,- in the labor force participation equation to be positive and ,6,- in the wage equation to be negative. In other words, I expect larger increases in labor supply and, in response, larger declines in wages relative to the College Educated control group. 2.5 RESULTS A. Labor force participation response Table 2.5 reports marginal effects of a Probit model on the labor force participation of unmarried women. Consistent with the previous work (Hotz et al. 2006; Adireksombat 2007), the coefficients of interest on After1994 * Education,- in Column (1) suggest that, relative to women with a College education, the 1993 EITC expansion increased the labor force participation of women in Less than High School, High School, and Some College groups by 4.7, 2.9, and 2.1 percentage points from a base of 40, 68, and 75 percent, respectively. These estimates are statistically and economically significant. The estimates of MT R suggest that, all else equal, a 10 percent drop in the MTR results in an increase in the labor force participation rate by 3.3 percentage points. Welfare reform in 1996 has significant effects on the labor force participation. Unmarried women who lived in states that were implementing a waiver and the TANF have a higher 57 probability of participating in the labor force by 2.5 and 4.3 percentage points, respectively. On the other hand, the estimate of MaxBenefit is not statistically significant.30 Table 2.5 Marginal Effects of Probit Model Dependent Variable : Probability of Labor Force Participation <1) (2) Marginal Robust Marginal Robust Effect Std. Err. Effect Std Err. Afierl994 -0.043 (0.026) Al’ter1994 -0.032 (0.021) Afierl994’Less than High School 0.047 ** (0.021) Afterl994*MTRchange -0.245 ** (0.071) Afier1994*High School 0.029 ** (0.013) —— — --—- Afterl994‘Some College 0.021 * (0.014) —— -—— MTR -0.033 ** (0.013) —— -—--- —-—- MaxBenefit -0.001 (0.001) MaxBenefit -0.001 (0.001) TANF 0.043 ** (0.022) TANF 0.044 ** (0.022) Waivers 0.025 * (0.013) Waivers 0.024 ** (0.012) Less than High School 0040 *** (0.026) less than High School -0.042 *** (0.027) High School 0023 ** (0.011) High School -0.022 ** (0.011) Some College 0018 * (0.009) Some College 0020 * (0.011) Other income 0006 *** (0.001) Other income 0006 *** (0.001) Children aged under 5 -0.075 *** (0.016) Children aged under 5 -0.079 *** (0.016) Children aged 6-18 -0.004 (0.014) Children aged 618 -0.008 (0.013) Nonwhite -0.090 *** (0.011) Nonwhite -0.090 *** (0.011) Union Member 0.269 *** (0.007) Union Member 0.269 *** (0.007) Unemployment rate 0012 *** (0.003) Unemployment rate -0.012 *** (0.003) ‘" Statistically significant at 1% level “ Statistically significant at 5% level “ Statistically significant at 10% level Data' 1 992-2001 MORG and March CPS The sample is married women aged 25-55 years old. All specifications include age, year, and state dummies. Regressions are weighted with MORG weights Demographic characteristic variables show the expected signs. All else equal, women who did not have a college degree are less likely to participate in the labor force than those who did. Women with a preschool child have a lower probability of 3° I also estimate this specification separately for each of the three treatment groups. When the treatment group includes only the Less than High School group, the estimate of MaxBenefit is statistically significant at standard levels. This might be because the Less than High School group is more likely to receive welfare benefits than the High School, and Some College groups. 58 participating in the labor force by 7.5 percentage points, relative to those without a preschool child. The probability of participating in the labor force is 9.0 percentage points lower for non-white women compared with white women. A thousand dollar increase in non-labor income decreases the probability of working by 0.6 percentage points. A one percent decline in the unemployment rate raises the probability of participating in the labor force by 1.2 percentage points. To test whether differential decreases in the MTR result in differential changes in labor supply, in Column (2), I estimate the labor force participation by using After1994 *MTRchange as a policy variable. MT Rchange is the change in median MTR (before and after 1994). This variation also captures the differential expansion of EITC by number of children and state. I find that women who faced larger declines in the MTR have larger labor supply responses, as theory predicts. All else equal, a 10 percent drop in the MTR after 1994 results in an increase in the labor force participation rate by 2.5 percentage points. B. The eflect of the 1993 El TC expansion on wages Table 2.6 presents the results for the test of selection bias. The estimate of the inverse Mills Ratio, lambda, is not statistically significant.3 1 This suggests that there is no evidence of a sample selection problem in estimating the wage equation of women in my sample. Therefore, I use OLS to estimate the wage equation. 32 3' Choices of exclusion restrictions might influence the results of the test of selection bias. As a specification check, I use other combinations of restrictions and find consistent results. 32 With OLS estimation, the wage equation is the same as equation (2), but excludes the lamda term. 59 Table 2.6 Test of Selection Bias Coef. Std. Err. lambda -0.041 (0.046) Data: 1 992-2001 MORG and March CPS. Table 2.7 Results of Wage Equation Dependent Variable : log(real wage) Robust Coef. Std. Err. Afier1994 0.016 (0.035) Afterl994*Less than High School -0.010 (0.041) Afier1994*High School -0.008 (0.026) Afierl994*Some College 0.013 (0.028) MTR 0.019 (0.041) Less than High School -0.068 *** (0.034) High School -0.043 *** (0.021) Some College -0.025 *** (0.012) Children aged under 5 -0.030 (0.024) Children aged 6-18 -0.028 (0.018) Nonwhite -0.077 *** (0.013) Union Member 0.150 *** (0.014) Unemployment rate -0.014 *** (0.004) R-squared 0.25 Number of obs. 9,382 "* Statistically significant at 1% level "”" Statistically significant at 5% level * Statistically signifith at 10% level Data: 1992-2001 MORG and March CPS. The sample is unmarried women aged 25 -55 years old. All specifications include age, year, and state dummies. Regressions are weighted with MORG weights. Table 2.7 reports the results of the wage equation. Consistent with DID estimates in Table 5, the coefficients of interest on Afier1994 *Education in the Less than High School and High School groups are negative. However, all coefficients of interest, on After1994 *Education, are not statistically significant, suggesting that women with lower education did not experience a statistically significant wage drop due to their labor supply 60 increase, despite the significant increase in the labor force participation among the groups. The estimate of MT R is also not statistically significant}3 Demographic characteristic variables have the expected signs. All else equal, women with lower education receive lower wages. Having children does not have a statistically significant effect on wages. Non-white women receive a 7.7 percent lower wage than white women. Consistent with the wage premium literature, such as Hirsch and Macpherson (2003), I find that a wage premium for those who are union members is 15.0 percent.34 Lastly, a one percent decline in the unemployment rate results in a 1.4 percent wage increase. With no evidence of a statistically significant wage drop after the EITC expansion, among the groups most affected by the EITC expansion, one might suspect that other policies such as the minimum wage might prevent a wage drop, specifically, among those workers with low education. In Table 2.8, I estimate the same wage equation as in Table 2.7, but also include the log of the state minimum wage (in 2005 dollars) in the regression equation.35 The coefficients of interest are very similar to those in Table 2.7 and still are not statistically significant. The coefficient on the minimum wage is also not statistically significant. I also estimate this specification with only women in the Less than High School and College groups and find consistent results. This might be because among women in my sample who earned positive wages, only 3.75 percent of them (352 out of 9,3 82) earn at or below the minimum wage.36 33 As a specification check, I lag MTR one year and two years, and find consistent results. 34 Using CPS data, Hirsch and Macpherson (2003) find that the union membership wage premium for female workers during the 19908 is between 12. 2 and 15.7 percent. 3sThese minimum wages are maximum values between the state and the federal minimum wage. I would like to thank Raj Chetty, who kindly provides me the dataset of state and federal minimum wages. 3‘ Only 2. 7 percent of unmarried women aged 25- 54 in 2002 earned at or below the minimum wage (Bureau of Labor Statistics, U. S. Department of Labor). 61 Table 2.8 Results of Wage Equation (Including the Minimum Wage) Dependent Variable : log(real wage) Robust Coef. Std. Err. After] 994 0.014 (0.035) Log MinWage -0.246 (0.193) After] 994*Less than High School -0.01 1 (0.042) Afier1994*High School -0.007 (0.026) After1994*Some College 0.013 (0.028) MTR 0.019 (0.041) Less than High School -0.067 *** (0.034) High School -0.042 *** (0.021) Some College -0.025 *** (0.012) Children aged under 5 -0.03l ** (0.014) Children aged 6-18 -0.027 *** (0.008) Nonwhite -0.077 *** (0.013) Union Member 0.150 *** (0.014) Unemployment rate -0.015 *** (0.004) R-squared 0.25 Number of obs. 9382 * ** Statistically significant at 1% level ** Statistically significant at 5% level * Statistically significant at 10% level Data: 1 992-2001 MORG and March CPS. The sample is unmarried women aged 25-55 years old. All specifications include age, year, and state dummies. Regressions are weighted with MORG weights. 2.6 CONCLUSION Using the 1992-2001 March and MORG of CPS data, this study examines the effect of the 1993 EITC expansion on the wages of unmarried women. Accounting for the sample selection problem and the endogeneity of the EITC, I find no evidence of wage decreases among low skilled workers where there were larger increases in labor force participation. With no statistically significant effects on the gross wages, I conclude that the incidence of the 1993 EITC expansion is captured by the worker. One possible explanation for finding no statistically significant wage drop is that unmarried women participate in a labor market where there were other changes that countered an increase in their labor supply. For example, the EITC expansion also 62 resulted in a decrease in the labor supply of the other groups of workers such as married women.37 Second, with a positive effect on labor supply decisions, the effect of the EITC on wages also depends on whether an increase in the aggregate labor supply is large enough to significantly affect the existing equilibrium wage. Using national survey data, the effect in this study might be attenuated. In future work it will be interesting to examine the effect using data from more local labor markets with high concentrations of low-skilled workers. 38 37 See Dickert et al. (1995), Ellwood (2000), and Eissa and Hoynes (2004) for the effect of the EITC on the labor supply of married women. 38 One potential candidate is the SIPP data. In 1996, the SIPP was redesigned to over-sample of households from areas with high poverty concentrations (the SIPP Users' Guide 2001). 63 CHAPTER 3 EVIDENCE OF THE EARNED INCOME TAX CREDIT MARRIAGE PENALTY RELIEF 3.1 INTRODUCTION With an effort to have a progressive tax rate structure and the unit of taxation that is based on family income, the income tax system in the United States is not marriage neutral. Tax liability may increase or decrease with marriage. The larger role of the Earned Income Tax Credit (EITC) in aiding low-income families due to the expansions over the 19905 increases the relevance of the income tax system for low-income families. One potentially unintended consequence of the EITC expansions is that it might affect marriage incentives. Over the same period, there had been a significant increase in the number of partners choosing cohabitation as an alternative to marriage.1 Whether the EITC is responsible for encouraging cohabitation over marriage is uncertain, the EITC expansion in 2001 for married couples provides exogenous variation in the marriage incentives that can be used to investigate the effect of the EITC on the marriage decisions of cohabitors. Designed to make the tax system more marriage-neutral by reducing or eliminating marriage penalties, tax cuts for married couples were enacted in 2001. The Economic Growth and Tax Relief Reconciliation Act of 2001 (EGTRRA) consists of three provisions of marriage-penalty-relief including the expansion of the phase-out range of the EITC for married tax filers. Relative to the phase-out range for a single filer or head-of-household, EGTRRA expands the phase-out range for married couple in a 1 During the 19908, the number of unmarried partner living together, cohabitation, increased by 72 percent (U .S. Bureau of the Census 2001). 64 nominal value by $1,000 in 2002, by $2,000 in 2005, and by $3,000 in 2008. In addition, EGTRAA increases the standard deduction for married filers to twice the size of the standard deduction for single filers and widens of the 15 percent tax bracket for married filers. Initially, the tax cut bill was designed to expire at the end of 2010, but they were made permanent by the 2003 tax cut bill. In this study, I describe the distribution of the marriage incentives arising from the EITC expansion in 2001 to examine whether changes in the marriage incentives are correlated with marriage decisions. I focus on the EITC because under EGTRRA the EITC expansion is the largest source of marriage penalties and subsidies for low-income families (Acs and Maag 2005). I use a sample of cohabiting women with children and low-education from the 2001 Survey of Income and Program Participation (SIPP). 2 Unlike unattached single parents, cohabitors already make a certain level of commitment to one another, and hence are most likely to be sensitive to tax incentives (Acs and Nelson 2004). Moreover, I could observe who their partners are, which makes calculating marriage subsidies/penalties more straightforward. I focus on women with children because families with children receive the largest EITCs and hence are more likely to be affected by changes in the credit. I focus on women with no college degree because EITC eligibility studies suggest that among women who are eligible for the EITC, those with no college degree are more likely to be eligible for the credit (Dahl and Lochner 2005; Baughman and Dickert-Conlin forthcoming). I use TAXSIM, a tax simulation model prepared by the National Bureau of Economic Research (N BER) to calculate each cohabiting woman’s combined state and federal EITC (in 2006 dollars), given her family 2 From Center for Economic and Policy Research. 2006. SIPP Uniform Extracts, Version 2.0. Washington, DC. 65 income and demographic characteristics in December.3 4 I then simulate a marriage between the woman and her partner and recalculate the family’s EITC. The difference between the calculated EITC when cohabiting and when married gives a measure of the EITC marriage incentive. A woman would receive an EITC marriage subsidy when her BIT C is higher when married than when cohabiting. On the other hand, she would face an EITC marriage penalty when her EITC is higher when cohabiting than when married. I find that cohabiting women with children could face a significant change in their EITC if they married. In 2001, 6 percent of the cohabiting women would receive an EITC marriage subsidy if they married and the average EITC marriage subsidy was $937. On the other hand, 12 percent would receive a penalty, on average, $978 if they manied. The remaining 82 percent would face no change in their EITC if they married. When I.inflate all taxable incomes to 2002 dollars and apply the 2002 tax law, all else equal, I find that more women (37 percent) would receive a subsidy. The average subsidy decreases to $292 because more women receive a smaller subsidy. In 2002, fewer women (9 percent) would receive a penalty. However, EGTRRA did not significantly reduce the average EITC marriage penalty. In fact, the average penalty increased to $1,240. I also examine the effect of EGTRRA by education level (Less than high school, High school, and Some College). And, I find that EGTRRA increases the number of women facing a subsidy but decreases the number of women facing a penalty in all education levels. By race, I find that on average, white and non-white women would face very similar changes in their EITC if they married. 3 See Feenberg and Coutts (1993) for a description of the TAXSIM calculator. ‘ Following Dickert-Conlin and Houser (2002), I estimate annual income for those women who are not in the sample for the entire year by inflating reported income in the months that I observe to reflect 12 months. 66 To examine whether changes in the EITC have any behavioral effects on the marriage decisions of cohabiting women, my empirical method accounts for the individual fixed effect and the endogeneity of the EITC. Therefore, I use variation in the changes in the EITC marriage incentives within a person to estimate the correlation between the EITC and marriage. I find no relationship between changes in the EITC marriage incentives and changes in the marriage decisions of cohabiting women. Chapter 3 proceeds as follows: Section 3.2 describes the marriage incentives in the EITC and marriage-penalty-relief provisions under EGTRRA. In section 3.3, I describe the existing literature on the effects of tax and transfer systems on marriage decision. Section 3.4 discusses data and descriptive evidence. Section 3.5 discusses whether EITC marriage incentives are correlated with marriage decisions. And, I conclude in section 3.6. 3.2 INSTITUTIONAL DETAILS Marriage incentives in the tax system arise because of the combination of a progressive tax system and joint, rather than individual, filing by married couples for benefits and taxes. The EITC expansions over the 19905 are an important contributing source of changes in marriage incentives for low-income tax filers (Dickert-Conlin 1999). EITC eligibility depends on the earning of a tax filing unit. Legal marital status determines who is included in the tax unit. Married couples must file a joint return and unmarried individuals file either head-of-household or single tax returns, depending on whether or not they have dependents. With a small credit available to childless tax filers, a more generous credit is available to filing units with qualifying children. The credit 67 equals a specified percentage of earned income up to a maximum dollar amount over the “phase-in range.” Over a range of income termed the “flat range,” taxpayers receive the maximum credit. The credit then diminishes to zero over the “phase-out range.” The EITC is refundable. If a family’s credit amount exceeds their tax liability, the Internal Revenue Service (IRS) refunds the difference. This feature makes the EITC marriage incentives particularly relevant to low-income filers’ marriage decision. The EITC payment is typically made once a year as an adjustment to tax liabilities or reflmds.5 Previously, the EITC was associated with substantial marriage tax cost (Eissa and Hoynes 2000). For example, consider a couple with two children in which each parents earns $15,000. If unmarried, in 2001 the head of household would qualify for $3,605 in EITC benefits. If the couple married, their combined income, $30,000, would qualify for $447 in EITC benefits. By marrying, this couple would have lost about 10 percent of their combined income. EGTRRA aims directly at reducing marriage penalties and promoting marriage. The 2001 tax bill contains the following marriage-penalty relief provisions to prevent most couples from owing more income taxes when married than if single: 0 an increase in the beginning and ending of the EITC phase-out range in a nominal value by $1,000 in 2002 (by $2,000 in 2005 and by $3,000 in 2008) for married filers 0 an increase in the standard deduction for married filers to twice the size of the standard deduction for single filers o widening of the 15% tax bracket for married filers 5 An “advance payment” option was added in 1978 so that workers would be able, if they so chose, to receive the credit incrementally throughout the year. However, in 1998, only 1.1 percent of EITC recipients with children used the advance payment option (Hotz and Scholz 2003). 68 Table 3.1 Marriage Penalty Relief Provisions in EGTRRA Provision 2000 2002-2004 2005-2007 2008-2009 Increase the EITC phase-out range for married couples 2000 levels +$1,000 +$2,000 +$3,000 Increase married standard deductionaspercent of single 167% 200% Increase size of married 15% bracketaspcrcent of single 167% 200% Source: Table 2 in Burman, Maag, and Rohaly (2002) and Friedman (2004) Table 3.1 presents the time table of each provision under EGTRRA. The 2003 tax cut bill made the standard deduction and 15 percent tax bracket provisions fully effective after 2004. However, it does not provide any acceleration of the EITC expansion. The EITC expansion will not be fully effective until 2008 (Friedman 2004). In 2002, the credit for married couples with two or more children starts to phase out when income reaches $14,520 instead of $13,520. In addition, after 2002 the EITC explicitly depends on filing status. The expansion of the phase-out range income for married couples might reduce the EITC marriage penalties for cohabitors if they married and filed a joint return. As a result, an increase in the credit may increase their marriage incentives. Using the same family as in the previous example, in 2002 the couple, who would have qualified for $669 when married, would qualify for $823 in their EITC benefits. EGTRAA reduces the marriage penalty for this couple by 23 percent of their pre-expansion EITC benefits. 3.3 EXISTING LITERATURE The early works of income tax and the marriage decisions of low-income families include descriptive evidence to illustrate maniage costs and subsidies and empirical evidence of the effect of the income tax on marriage. Groeneveld, Tuma and Harman 69 (1980) use data from the negative income tax (NIT) from Seattle and Denver to consider the effect of participation in a NIT experiment on marital dissolution. They find that participants had higher marital dissolution rates than non-participants. However, Cain and Wissoker (1990) reanalyze the same data and find that the NIT had no effect on the rate of marital dissolution among participants. Using data from a sample of tax returns, Rosen (1987) and Feenberg and Rosen (1995) examine the marriage tax under the Tax Reform Act of 1986 (TRA-86) and the Omnibus Budget Reconciliation Act of 1993 (OBRA-93), respectively. They find that the tax reforms subsidize marriage for low-income families. However, some low-income families faced much higher marriage tax under OBRA-93 due to the EITC expansion. More recent studies focus on the behavioral effect of the income tax on marriage decisions. In general, they find that the tax system has small but statistically significant effects on maniage and divorce decisions. For example, Whittington and Ahn (1997) use longitudinal data from the Panel Study of Income Dynamics (PSID) for the period of 1968 to 1992 to examine the effect of income tax on the likelihood of divorce. They find that the marriage tax penalty results in a small increase in the probability of divorce for couples. Using the same data, Alm and Whittington (1999) examine the effect of the income tax on the time to first marriage and find statistically significant but small effects. See Alm, Dickert-Conlin, and Whittington (1999) for a summary of the income tax and marriage studies. Early research on the effect of the transfer system on marriage decisions, for example, Schulz (1994), finds that welfare has a significantly negative effect on marriage. More recent studies control for state-fixed effects to correct biased welfare 70 estimates and find statistically and economically smaller effects (Moffitt 1994; Hoynes 1997; Schoeni and Blank 2000). More recent studies focus on the effects of the EITC on marriage. For example, Dickert-Conlin and Houser (1998) describe the distribution of the joint change in transfer benefits and tax liability associated with a change in marital status. Using a sample of representative households from SIPP, they find that most poor two-parent families could significantly increase their transfer benefits if they separated, but this gain could be largely offset by the income tax system. Among unmarried women with children, all poor mothers could face a loss of transfers if they married, but the tax system mitigates the decline in transfer benefits. The near-poor could face smaller declines in transfer benefits but face an increase in tax liability if they married. Holtzblatt and Revelein (2000) estimate marriage penalties and subsidies under a variety of assumptions. Their preferred results show that in 2000 the EITC increased total marriage penalties by 10.4 percent and reduced total subsidies by 1.5 percent. Consistent with Dickert-Conlin and Houser (1998), they find that the EITC results in marriage subsidies for taxpayers with low- income, but marriage penalties for those with middle-income. Focusing on the decision to separate, Dickert-Conlin (1999) uses a sample of women from the 1990 SIPP to examine the behavioral effects of the marriage penalties or subsidies imposed by the transfer and tax systems on their separation decisions. Controlling for individual and state fixed effects, Dickert-Conlin finds that couples with more to gain from separating in the form of lower 1990 tax liability are more likely to separate. However, the economic significance of the effect is small. Ellwood (2000) examines the effects of the EITC expansion during the 19908 on marriage decisions. 71 Using data from the 1975-1999 Current Population Survey (CPS) to predict wages and calculate marriage penalties and bonuses, he finds that the EITC expansions increased marriage incentives for low-wage women, but decreased the incentives for higher wage women. To test whether these marriage penalties and bonuses have had any behavioral effects, Ellwood compares the marriage rates of low-wage women to those of higher- wage women and finds no evidence of differential increases in marriage rates of those women. Creating a consistently defined series on cohabitation from the CPS, Ellwood also examines whether the EITC marriage incentives influence cohabiting decisions. He finds an increase in the marriage rates of cohabiting couples who faced marriage subsidies. However, the timing of the increase in the marriages rates is not closely linked to the EITC expansions. Therefore, Ellwood suggests that these results should be treated cautiously. Another empirical study, Dickert-Conlin and Houser (2002) use data from the 1990-1993 panels of the SIPP to examine whether the EITC is correlated with changes in marital status for families with children. Controlling for the individual fixed effect and the endogeneity of the EITC, they find that married women with children who face larger increases in their EITC are less likely to remain married. However, the economic effect is small. They also find that the EITC has no statistically significant effects on the marriage decisions of unmarried women. Using data from the PSID for the period of 1983 to 1997, Alm and Whittington (2003) examine the effect of the federal income tax on decisions to ’ marry instead of cohabit. They find that among cohabiting couples, the income tax has a statistically significant effect on their decision to make a transition from a cohabiting to a married couple. However, the effect is small. Moreover, they find that among partners 72 who are not living together, the effect on their decision to form either a cohabiting or a married union is not statistically significant. Eissa and Hoynes (2003) use data from the 1985-1998 March CPS to examine the effect of the tax and transfer systems on marriage decisions. They find that both systems do affect marriage behavior, but the overall effect is relatively modest. Raising the marriage tax cost, including the EITC, by $1,000 would lower the probability of marriage by 1.3 percentage points. When incorporating transfer benefits, the probability declines by 2.4 to 3.3 percentage points for every $1,000 increase in marriage costs. More recent studies consider the effects of the EITC expansion for married couples in 2001. All of them focus on the describing of the size of the relief. For example, using a sample of low-income cohabiting couples with children from the 2002 National Survey of America’s Families (N SAP ), Acs and Maag (2005) calculate tax or tax and transfer? marriage subsidies and penalties faced by those couples in 2003 and 2008. Results from their simulation model show that the EITC is the largest source of marriage penalties and subsidies. In 2008, when the EGTRAA will be fully phased-in, those couples who face marriage penalties in 2003, on average, will face a 13 percent decrease in their penalties, while those who face marriage subsidies, on average, will face a 58 percent increase in subsidies. This paper extends the existing literature by using a sample of cohabiting women from SIPP to describe the distribution of the changes in the EITC marriage incentives associated with the EITC expansion in 2001. Moreover, I examine the behavioral effects of the EITC marriage incentives on their marriage decisions. To my knowledge, no previous studies examine the behavioral effects of this EITC expansion. 73 3.4 DATA AND DESCRIPTIVE EVIDENCE I use a sample of women with children and no college degree who were cohabiting in 2001 from the 2001 panel of SIPP. The SIPP is a multi—panel, nationally representative dataset. The SIPP divides respondents into four staggered rotation groups. Respondents are asked questions every fourth month about their experiences over the prior four months. SIPP respondents are asked questions about their participation in income maintenance programs, their household and family composition, employment and earnings. The 2001 SIPP tracks individuals for three years and contains nine waves (October 2000-December 2003). I include observations on women in December of each year so that I can identify their tax filing status. Therefore, I have a maximum of three observations per person. Cohabitors are explicitly identified because respondents have to answer: “What is the EXACT relationship of (household member) to (household member)?” and “(household member) is (household member)?” This variable is constant over the entire panel. The cohabitor question was asked in the Topical Module under the second wave of the 2001 panel.6 I identify whether women have children by using the number of children under 18 in the family and assume that children are the women’s.7 Consistent with the literature, I limit my sample to women aged 18-50 to focus on women who are most likely to make marriage decisions. Because I account for state variation in EITCs and welfare policies, I drop observations from those states that are not uniquely identified in the SIPP.8 The resulting sample is 299 cohabiting unmarried women, representing 6 There are thirty-one possible responses, including Spouse, Unmarried Partner, and Room/housemate. 7 This is reasonable assumption for my sample. 96 percent of children are women’s children. 8 The 2001 SIPP aggregates Maine, Vermont, Wyoming, North Dakota, and South Dakota into two groups. 74 906,980 persons using the SIPP sampling weights, with 777 person year observations (2.6 years per person on average). To demonstrate how marriage affects the EITC received by cohabiting women, I compare the EITC received by the woman when she files a tax return as head-of- household with what would be received if she and her partner married and filed a joint return. The woman receives an EITC marriage subsidy if she receives a higher EITC when she married. On the other hand, she receives an EITC marriage penalty if she receives a lower EITC when she married. To analyze how EGTRAA affects the EITC marriage subsidy/penalty, I use the sample of cohabiting women in 2001, inflate their income to 2002 and 2005 dollars, and calculate their EITC marriage subsidies/penalties in 2002 and 2005. Because I use the same sample and hold all other behaviors constant to calculate those women’s EITC, changes in their EITC marriage subsidies/penalties are due to changes in the tax law. 75 Figure 3.1 Weighted Number of Cohabiting Women Facing an EITC Marriage subsidy/penalty in 2001, 2002, and 2005 (N=299; weighted N=906,980) l f" "—— ' l 2001 20.2 portion) 1 107,743(12%) ISM-[Mam l ,. DSullsidyifMa‘ried ‘ amazon.) (N: 112) , DPellaltylfMll'ied ‘ .. l silicon.) , (N=26) ‘l l DNocllalgeiiMancd . [(11:10) ,7 l 19mm.) ‘ 749,169(82°/o) 1 l 2005 . DTSubsilyifManied 7 j; 354,440, 39% (N=117) H BPenaltyifMarricd 490,352, 54% (N‘Zl) MDNocllllngifMarrledH L(N=lsl) 62,188, 7% _ __, J Figure 3.1 shows the percentages and weighted numbers and numbers of cohabiting women facing an EITC marriage subsidy and penalty in 2001, 2002, and 2005. Among 906,980 women, in 2001, 6 percent would receive an EITC marriage subsidy if they married, while 12 percent would receive an EITC marriage penalty. The 76 remaining 82 percent would face no change in their EITC.9 In 2002, when changes to the EITC for married couples went into effect, the number of women, who would receive a subsidy if married, increases to 37 percent, while the number of women, who would face a penalty, decreases to 9 percent. In 2005, the distribution of women facing an EITC marriage subsidy/penalty does not change significantly from that in 2002. The number of women, who would receive an EITC marriage subsidy slightly increases to 39 percent, while the number of those who would receive an EITC marriage penalty decrease to 7 percent. One possible explanation why the distribution changes significantly from 2001 to 2002 but not from 2002 to 2005 is that the inflation rate that I apply to those women’s income is larger than the inflation-adjusted rate for the EITC thresholds.10 As a result, in 2005 some women are not eligible for the EITC because they have too high income. With a small sample size of women facing an EITC maniage penalty as shown in Figure 3.1, the estimate of a marriage penalty might not be reliable. In further discussion, I focus on an EITC marriage subsidy. 9 Among women who would face no change in their EITC if they married, 25 percent have zero family- income. 58 percent have too high income to be eligible for the EITC. And 17 percent are eligible for the same amount of credit. '0 I inflate those incomes by using the all-urban consumer price index for that calendar year from Department of Labor, Bureau of Labor Statistics. The IRS also uses the all-urban consumer price index but they define the consumer price index for any calendar year as the average of the consumer price index as of the close of the twelve-month period ending on September 30 of that calendar year (lntemal Revenue Bulletin 2007-4). 77 Figure 3.2 Weighted Means of the El'l‘ C Manhge Subsidy Sample: Conditional on Women with an EITC Subsidy 1200 346,692 *“ “““““““““ 354,440 “ 400,000 . 1000 350.000 300.000 300 250,000 g a 600 200,000 2 400 150.000 =- 100,000 200 , 50,000 2001 2002 2005 [h Weighted EITC Subsidy + Weighted Number ofwow l The EITC subsidy confronting cohabiting women is substantial. Using SIPP weights, Figure 3.2 shows that the expansions of the phase-out income increase the number of women facing an EITC marriage subsidy from 50,069 women in 2001 to 346,692 in 2002 and 354,440 in 2005. However, on average, the subsidy decreases from $968 in 2001 to $298 in 2002 and $460 in 2005, respectively. These decreases occur because more women would receive a subsidy but in smaller amounts. 78 Figure 3.3 Weighted Means of the EITC Marriage Subsidy by Education Sample: Conditional on Women with an EITC Subsidy 2001 2002 2005 Year Figure 3.4 Weighted Number of Women Facing an EITC Marriage Subsidy 160,000 131,177 136,544 140,000 ,, g 1 135,187 . _ 5 4 120,000 .. 2 100,000 80,000 ier 60,000 »# ~ 40,000 - 20,000 - 0- 20,103 18,565 “399 f::;lj:_'::$:ig3§: 2001 2002 2005 Riggs plan figment in; School Somem 79 For firrther investigation, I calculate an EITC marriage subsidy by the education levels of those women.11 Figure 3.3 suggests that in 2001 on average, women with a high school education would receive the largest EITC subsidy at $1,479. After the EITC expansion in 2001, the average subsidies decrease for all education levels. However, in 2002 and 2005, more women in all education levels would receive a marriage subsidy relative to in 2001, as shown in Figure 3.4. Figure 3.5 presents the EITC marriage subsidy and penalty by race. On average, white and non-white women would face very similar penalties in 2001 and subsidies in 2002 and 2005. Conditional on the same education level and number of children, Figure 3.6 shows that white cohabiting women with a less than high school education and two or more children would face significant larger EITC subsidies if they married. This is likely to be driven by the fact that white and non-white women’s partners have different distribution of earnings. ” As discussed earlier, I focus on women without a college degree because previous studies suggest that they are more likely to be eligible for the EITC. 80 Figure 3.5 ,-_____7 Weighted Means of the EITC Marriage Incentive by Race 100 50 7 7 20 19—: _ a 0* 7 fl -50 “ -100 2001 2002 2005 Year Figure 3.6 Weighted Means of the EITC Marriage Incentive by Race I Sample: Cohabiting women with Less than High School Education . and Two or more Children l 250 f 200 69100" 2001 2002 2005 lgill/bite : Two Plus Cl Non-White: Two Plus 7 81 3.5 ARE EITC MARRIAGE INCENTIVES CORRELATED WITH MARRIAGE DECISIONS? The descriptive evidence in the previous section suggests that there is significant cross-time variation in the EITC marriage incentives due to the EITC expansion. This variation might be useful to estimate the correlation between changes in the EITC marriage incentives and changes in marital status for cohabiting women with children. In this section, I use variation the EITC maniage incentives over time to examine whether the EITC marriage incentives are correlated with the marriage decision of cohabiting women. Because marriage is a choice, the marriage decision can be modeled using standard preference theory. To investigate whether changes in the EITC marriage incentives are correlated with changes in the marital status of cohabiting women, I test the hypothesis based on Becker’s (1973, 1974) model of marriage. The model suggests that individuals marry if the expected utility after getting married exceeds that of remaining single. To consider the determinants of the choice of marriage, Becker defines the utility function as U=U(M, 2“, T”, X); Where M is marital status, Z is a measure of household output that depends on marital status, T is the tax-transfer consequence of marriage, and X are individual characteristics. Assuming that the indirect utility function is linear, I can define M,(*, the difference in the maximal utility between married and not married as: Mn" = (I + YIEITCit + Xit'Yz + Yt'l’s + Dii' Mn” is unobservable, however, we can observe a woman’s marital status, Mn: 82 M,, = I (married) if Mit*>0 = 0 (unmarried) if Mit*50. EITC“ is the EITC marriage incentive, which is the change in combined federal and state EITC for individual i in year t if she would marry. A Negative number means that a woman would face an EITC marriage penalty if she married. y, is a set of three year dummies to account for any changes, affecting all women in that particular year, for example, federal government policies. on is the error term. To control for differences in population sampled over time, the regression equation also includes, X“, a set of demographic characteristic variables, which includes age, two dummies for education levels (high school and some college), and a dummy for whether the woman lives in an urban area. To account for state-year characteristics that might be correlated with marriage decisions, Xit also includes the sum of maximum benefits from AF DC/T AN F and food stamp programs (in hundreds of 2006 dollars) to capture the generosity of the welfare system, the real per capita income and the unemployment rate to capture the business cycles. Table 3.2 presents descriptive statistics for my sample. Initially being unmarried, 8 percent got married by the third year in the sample. In 2001, the average EITC for these women is $1,412. And the average EITC marriage incentive is negative, suggesting that on average cohabiting women in my sample would face a marriage penalty at $42.18 if they married. 83 Table 3.2 DESCRIPTIVE STATISTICS MEANS AND (STANDARD DEVIATIONS) Married 0.08 (0.27) EITC 1412.30 (1456.40) EITC Marriage Incentive -42.18 (632.42) Age (years) 31.93 (7.55) Number of Children 1.96 (1.11) Non-White 0.43 (0.49) Less than High School 0.27 (0.44) High School 0.34 (0.47) Some College 0.38 (0.48) Urban 0.53 (0.49) State Unemployment Rate 5.04 (1.08) Sample: Women with children and no college degree who were cohabiting in 2001 from the 2001 panel of SIPP. Means are weighted with SIPP weights. Two concerns arise in my empirical method. First, because the EITC benefits depend on marital status and family earnings, but family earnings depend on marital status, these correlations potentially lead to the endogeneity problem, resulting in biased and inconsistent estimators (Wooldridge 2006). To mitigate this potential endogeneity problem, I isolate the effects of the EITC expansion from the effect of changes in the characteristics and earnings. I use each woman’s family demographic and income characteristics from the first year she is in the sample, adjust her income with the consumer price index, and then calculate her EITC in following years, holding other i i behaviors constant. '2 This method provides a proxy of policy variable that is correlated with actual changes in the EITC but exogenous to the marriage decision. '2 This approach is used in several tax studies, for example, Dickert-Conlin and Houser (2002) and Kubik (2004). 84 Second, although I observe a number of variables that are likely to affect the marriage decision, unobserved individual characteristics, such as attitudes toward cohabitation and marriage, are also likely to influence the marriage decision. Using Ordinary Least Squares (OLS) to estimate longitudinal data without accounting for unobserved effects results in biased and inconsistent estimators. To account for the endogeneity of the EITC and individual fixed effects, I estimate the following empirical model: Mn" = 0i + YIEITCsl 'l’ Xit'Yz ‘l' yt'73 + ”it, where at is the individual fixed effect, which captures all unobserved, time-constant factors that affect marriage, such as attitudes toward marriage. EITCS, is a proxy variable that is correlated with actual changes in the EITC but exogenous to the marriage decision. The coefficient of interest, 71, measures the effect of changes in the EITC marriage incentive on the probability of marriage within individuals. 85 Table 3.3 LINEAR PROBABILITY MODEL FOR ALL WOMEN WITH CHILDREN WHO ARE COHABIIING IN 2001 DEPENDENT VARIABLE: MARRIED OLS-Actual OLS-Proxy Fixed Effect-Actual Fixed Effect-Proxy (1) (2) (3) (4) Robust Robust Robust Robust Coef. Std Ell. Coef. Std Err. Coef. Std Err. Coef. Std FJT. EllC(100) 0.01711“ (0.00401) 0.00202 (0.00242) 0.01383 *** (0.00398) 0.01151 (0.01792) Age 0.00243 ** (0.00111) 0.00251 (0.00163) 0.03485 ** (0.01616) 0.03088 *** (0.00924) High School (l=yes) 0.02853 (0.02043) 0.03608 (0.02264) 0.01437 (0.09994) 0.03285 (0.10177) Some College (l=ycs) 0.02142 (0.02032) 0.02712 (0.02228) 0.01147 (0.14479) 0.00086 (0.17479) Urban(1=yes) 0.00550 (0.01809) 0.00687 (0.02002) 0.01999 (0.12325) 0.05934 (0.14309) StateMaximumAFDC+Food Stalnp(100) 0.00443 0 (0.00113) 0.00839*** (0.00231) 0.04012*** (0.01092) 0.05000“l (001109) State Real Per Capita Income 0.00001 (0.00002) 0.00001 (0.00001) 0.00001 (0.00002) 0.00001 (0.00002) Stale Unemployment Rate 0.01781 (0.01158) 0.03435 ** (0.01412) 0.01104 (0.03457) 0.01709 (0.03629) 2001(l=yet) 0.08426 *** (0.02032) 0.09981*** (0.01998) 0.03230 (0.01982) 0.03276 (0.01936) 2002(l=yes) 0.16725 *** (0.03294) 0.21213 *** (0.03586) 0.02520 (0.02815) 0.01666 (0.03287) 2003(1=yes) 0.13591*** (0.04309) 0.19831*** (0.05954) (dropped) (dropped) Sample: Women with children and no college degree who were cohabiting 102001 hon 11102001 panel 01 SIPP Number of observation : 299 women with 777 person your observations “i Statistically significant at 7% level “ Statistically significant at 5% level ‘ Slalisticnllysigmficanlal 10% level Table 3.3 presents results for the linear probability model for a sample of women with children and no college degree who were cohabiting in 2001. Column 1 shows the results when I use OLS estimation and the estimate of the actual changes in the EITC as a policy variable. This specification does not account for individual effects or the endogeneity of the EITC. The coefficient of interest on the EITC variable has an unexpected sign, it is negative and statistically significant at the 1% level. However, the estimate is very small (-0.01711), suggesting that all else equal, a $100 increase in the 86 EITC marriage incentive lowers the probability of being married by 1.7 percentage point. At the mean of the probability of being married (8/ 100) and the average EITC marriage incentive (-$42.18), this coefficient translates into an elasticity of -0.09. In Column 2, when I use a proxy variable for the actual EITC, the coefficient of interest on the EITC variable is also negative, but becomes less economically and statistically significant. At the mean the estimated elasticity is -0.0l. Some of the coefficients on covariates also have unexpected signs. All else equal, age is negatively correlated with marriage at statistically significant levels. On the other hand, education and welfare benefits are positively correlated with marriage. The unemployment rate is negatively correlated with marriage at statistically significant levels. Accounting for individual fixed effects and using the estimate of the actual EITC as the policy variable, the coefficient of interest in Column 3 is slightly greater than those in Column 1. At the mean the estimated elasticity is -0.07. The coefficients on covariates have the expected signs. Age is positively correlated with marriage at statistically significant levels. The coefficients on education variables are negative, but are not statistically different from zero.13 Consistent with Dickert-Conlin and Houser (2002), the coefficient of welfare benefits is negative and statistically significant, suggesting that an increase welfare generosity reduces cohabiting women’s incentive to marry. In Column 4, when I control for individual fixed effects and use a proxy variable for the actual EITC, the coefficient of interest on the EITC is not statistically significant, consistent with Ellwood (2000) and Dickert-Conlin and Houser (2002). This suggests that, controlling for individual fixed effects and the endogeneity of the EITC, all else '3 This might be because there is not much variation in education variables. Among 299 women in my sample, only 25 women attained more education. 87 equal, the EITC marriage subsidy does not affect the marriage decisions of cohabiting women. For further investigation, I also estimate similar regression equations on three subsarnples of women with children who were cohabiting in 2001: those with less than high school, high school and some college education.14 Results are shown in Table 3.4. In this discussion, I focus on results in Column 4. Consistent with results in Table 3.3, the coefficients of interest in all panels are not statistically significant at standard levels, suggesting that there is no statistically significant relationship between the EITC and marriage. Table 3.4 LINEAR PROBABILHV MODEL FOR COHABITING WOMEN WITH CHILDREN BY EDUCATION LEVEL DEPENDENT VARIABLE: MARRIED OLS-Actual OLS-Proxy Fixed Effect-Actual Fixed Effect-Proxy (I) (2) (31 (4) Robust Robust Robust Robust Coef. Std Err. Coef. Std Err. Coef. Std. Err. Coef. Std Err. Panel A: Less than High School ETTC(100) 0.00737 (0.00882) 0.00363 (0.00245) 0.00956 (0.00810) 0.11110 (0.14730) Panel B: Ihgh School EITC(100) 0.02000 *** (0.00497) 0.00244 (0.00280) 0.01566 *** (0.00522) 0.01662 (0.02786) Panel C: Some College EITC(100) 0.02051 *** (0.00859) 0.00114 01.00672) 0.00990 (0.00824) 0.00958 (0.02369) ”’ Statistically significant at 1% (ml ” Statistically significant at 5% (ml ‘ Statistically signrficantat 10% Incl '4 In these regression equations because I estimate them by education level, the independent variables are the same as the equation in Table 3, but exclude the education variables. 88 3.6 CONCLUSION Using a sample of women with children who were cohabiting in 2001 from the 2001 SIPP, this study describes the distribution of the marriage incentives arising from the EITC expansion in 2001 for married couples. Descriptive results suggest that the EITC expansion substantially increases the number of women facing an EITC marriage subsidy, but marginally reduces the number of women facing a penalty. Among those facing a subsidy, the average subsidy decreases significantly after the EITC expansion, because more women receive a smaller subsidy. Using cross-time variation in the EITC marriage incentives within a person, I examine whether changes in the marriage incentives are correlated with maniage decisions. In my empirical method, I account for the endogeneity of the EITC and individual fixed effects. I find that the EITC expansion in 2001 has no statistically significant effect on the marriage decision. One possible explanation for my finding is that an increase in the tax incentive due to the EITC expansion might not be significant enough to encourage those cohabiting couples to get married. In an effort to relieve marriage penalty in the income-tax system, EGTRRA contains three marriage penalty relief provisions for low-, middle-, and high- income families. While provisions for middle- and high-income families were made to become fully effective after 2004, the EITC expansion in 2001 for low-income couples was left behind to be gradually phasing in and will not be fially effective until 2008. 89 APPENDIX Table A.1: Federal Earned Income Tax Credit Parameters, 1990-2000 Year Kids Phase-In Phase-In Maximum Phase-Out Phase-Out Range Rate (%) Range (3) Credit (3) Rate (%) (S) 1990 1+ 14 0-6.810 953 10 10,730-20,264 1991 1 16.7 0-7,140 1,192 11.93 11,250-21,250 2+ 17.3 0-7, 140 1.235 12.36 11250-21250 1992 1 17.6 0-7.520 1,324 12.57 ll,840-22,370 2+ 18.4 0-7,520 1,384 13.14 11,840-22,370 1993 1 18.5 0-7,750 1,434 13.21 12,200-23,050 2+ 19.5 0-7.750 1,511 13.93 12,200-23,050 1994 0 7.65 04000 306 7 .65 5,000-9,000 I 26.3 0-7,750 2,038 15.98 1 l,000-23,755 2+ 30 0-8.425 2,528 17.68 11,000-25,299 1995 0 7.65 0-4,100 314 7.65 5,130-9,23O l 34 0-6,160 2,094 15,98 1 1,290-24,396 2+ 36 0-8.640 3,1 10 20.22 1 1,290-26,673 1996 0 7.65 0-4,220 323 7.65 5,280-9,500 1 34 0-6,330 2,152 15,98 11,610-25,078 2+ 40 0-8,890 3,556 21.06 11,610-28,495 1997 0 7.65 0-4,340 332 7.65 5,430-9,770 1 34 O-6.500 2,210 15.98 ll,930-25,76O 2+ 40 0-9,14O 3,656 21.06 1 l,930-29,29O 1998 0 7.65 0-4,460 341 7.65 5,570-10,03O 1 34 0-6,680 2,271 15.98 12,260-26,473 2+ 40 0-9,390 3,756 2 1.06 12,260—30,095 1999 O 7.65 0-4,530 347 7.65 5,670-10,200 1 34 0-6,800 2,312 15.98 12,460-26,928 2+ 40 0-9,54O 3.816 21.06 12,460-30,580 2000 O 7.65 0-4.610 353 7.65 5,770-10,380 1 34 0-6,920 2,353 15.98 12,690-27,415 2+ 40 0-9.720 3,888 21.06 12,690-31,152 Sources: Baughman and Dickert-Conlin (forthcoming) and The House Ways and Means Committee Green Book (2004), P13-3 7-13-38 90 Figure A.l: Labor force participation of unmarried women between 1991 and 2000 1.00 0.90 0.80 — 0.70 0.60 0.50 0.40 0.30 -__. 0.20 0.10 0.00 f 1 1 l T T r r r 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 Year P - — No Children -I- One Child -I-—Two or more children I Figure A.2: Labor force participation of Unmarried women with two or more children 1.00 0.90 0.80 — 0.70 . / 0.60 / 0.50 0.40 W 0.30 p , p e . a , . , 1991 1992 1993 1994 1995 1996 1997 199a 1999 2000 Year [+— All + Less than High School— — High School ->"- Some College+ College 91 Figure A.3: Labor force participation of Unmarried women with one , child 1.00 0.90 0.80 v 0.70 0.60 W 0.50 0.40 7 7 ' T Y r r 7 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 Year . 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