The Australia A an National Univ versity Centre fo or Econ nomic Policy P Researrch DISCUS D USSION PAPER R L Long-T Term Efffects off Publicc Low-In ncome H Housin ng V Voucherrs: Work k, Neighborhoood, Fam mily Com mpositioon and Child dcare Usage U Roobert Havem man University U off Wisconsin-Madison an nd Research School of Economics E The Australlian Nationaal University y B Barbara Wollfe University U off Wisconsin-Madison an nd Research School of Economics E The Australlian Nationaal University y DISCUSSI D ION PAPE ER NO. 66 67 JJuly, 2012 2 ISSN N: 1442-8636 ISBN N: 978-1-9216693-48-9 Long-Term Effects of Public Low-Income Housing Vouchers: Work, Neighborhood, Family Composition and Childcare Usage* Robert Havemana University of Wisconsin–Madison Research School of Economics The Australian National University Barbara Wolfeb University of Wisconsin–Madison Research School of Economics The Australian National University *The several research studies from which these results are drawn are coauthored with Deven Carlson and Thomas Kaplan, of the University of Wisconsin-Madison, USA. The research presented in this paper was generously supported by a grant from the John D. and Catherine T. MacArthur Foundation. We gratefully acknowledge that support. Finally, we owe a debt of gratitude to Dan Ross for his work in securing, cleaning, and organizing the data, and to Deborah Johnson for help in editing. a Institute for Research on Poverty, University of Wisconsin—Madison, 3412 Sewell Social Science Building, 1180 Observatory Drive, Madison, WI 53706, United States. [email protected] b Institute for Research on Poverty, University of Wisconsin—Madison, 3412 Sewell Social Science Building, 1180 Observatory Drive, Madison, WI 53706, United States. [email protected] Abstract Using a propensity score matching approach coupled with difference-in-differences regression analysis, we estimate the effect of receiving a low-income housing voucher on the employment and earnings, mobility, neighborhood quality, household/family composition and childcare utilization of a large longitudinal sample of low-income families in the U.S. We observe these effects over six years following voucher receipt. Our results indicate that voucher receipt has little effect on employment, but a negative effect on earnings. The negative earnings effect is largest in the years immediately following initial receipt, and fades out over time. Full-sample results show voucher receipt to have little effect on neighborhood quality in the short-term, but some positive long-term effects. We also find that voucher receipt is tied to a higher probability of change in household/family composition in the year of voucher receipt, but greater stability in subsequent years. The results of our propensity score matching procedure show voucher receipt to be tied to a greater take-up of public child care subsidies. Several robustness tests are run to support the reliability of our findings. We discuss the implications of our findings for research and policy. Long-Term Effects of Public Low-Income Housing Vouchers on Work, Neighborhood, Family Composition and Childcare Usage 1. Introduction In recent decades, low-income housing policy in the United States has expanded the provision of vouchers that can be used to secure housing in the private market. Currently, the U.S. Section 8 housing voucher program serves about 2.2 million families, with these households containing approximately 5.1 million family members (U.S. Department of Housing and Urban Development, 2008). Research has followed implementation of this policy expansion, and an ever-growing body of studies examines the behavioral responses of individuals to receipt of voucher-based housing assistance (Jacob and Ludwig, 2008; Mills et al., 2006; Susin, 2005; U.S. Department of Housing and Urban Development, 2003). In addition to presenting evidence on behavioral responses from a new sample—one that is larger, more diverse, and more representative of voucher recipients nationwide than samples used in most previous studies—we compare and reconcile our findings with previous findings by noting the varying counterfactuals, samples, and time horizons that characterize previous studies, and exploring the implications of this variation. Our primary estimates of the effects of voucher receipt reflect a counterfactual world in which comparison cases do not receive any housing assistance, and only seek housing in the private market. However, our data also allow us to evaluate the effects of voucher receipt against a counterfactual of public housing assistance. This analysis contributes to an understanding of the disparate results in the existing literature on the labor market effects of vouchers. In addition, we have analyzed the relationship between voucher receipt and labor market outcomes for a wide variety of policy-relevant socioeconomic subgroups, an approach that allows us to investigate the possibility of heterogeneous effects of voucher receipt. Previous studies have not been able to conduct such detailed analysis. We summarize these findings here; details are available upon request from the authors. We perform our analyses using an original dataset assembled for this study. We constructed the dataset from administrative records contained in two databases maintained by the State of Wisconsin 2 combined with information from the U.S. Census Bureau. This dataset contains information on up to six years of post-voucher receipt earnings and employment patterns—and several additional years of prevoucher receipt information—for more than 350,000 households from all parts of a medium-sized, diverse state. 2. Low-Income Housing Policy and the Section 8 Voucher Program 2.1. Low-income housing subsidy programs: tenant- vs. project-based approaches Housing policy experts in the United States have long disagreed over the extent to which government-provided low-income housing assistance should be project-based (with funds going to public agencies or private developers to construct or remodel and to operate housing units for low-income households) or tenant-based (with subsidies provided directly to low-income households who seek housing in the private market that is compliant with Department of Housing and Urban Development (HUD) and Public Housing Agency (PHA) requirements). Each approach has been employed to varying degrees over the years. Initially, all government low-income housing assistance was project-based in nature and was provided through the construction and operation of housing units by government agencies (Orlebeke, 2000). This policy, generally referred to as the “public housing program,” monopolized lowincome housing policy from the mid-1930s through the early 1970s. At that point, dissatisfaction with several aspects of the program—routine cost overruns, missed production targets, some issues with high crime rates in major cities and dilapidated structures—resulted in policymakers beginning to take lowincome housing subsidies in a new, tenant-based direction. Specifically, the Housing and Community Development Act of 1974 authorized the Section 8 voucher program, the details of which are described below. This program expanded throughout the late 1970s and early 1980s and during this time it appeared that the vast majority of low-income housing assistance would be provided through this tenant-based approach for the foreseeable future. However, a decade later, Section 42 of the Tax Reform Act of 1986 authorized a program that has come to be known as the Low-Income Housing Tax Credit (LIHTC). This program provides subsidies to 3 private developers who construct housing units that will be subject to rent ceilings and tenant income limits for at least 15 years following construction (for a more comprehensive description of the LIHTC, see Eriksen, 2009). Since its inception in 1986, the LIHTC has become the predominant form of projectbased housing assistance, with nearly 1.7 million housing units subsidized by the program in use in 2008 (U.S. Department of Housing and Urban Development, 2010). The 1.7 million LIHTC units exceed the 1.2 million public housing units in use—another major project-based housing assistance program—but falls short of the 2.2 million tenant-based Section 8 vouchers in existence in 2008. Although with different emphases, substantial research literatures have studied these three major low-income housing assistance programs identified above. By examining the labor market, mobility, neighborhood, household composition and child care usage effects of voucher receipt, we are able to provide insight into a variety of important aspects of the primary tenant-based housing assistance program in the United States—the Section 8 housing voucher program. These results inform the continuing debate over the direction of national housing policy, and the effects of tenant- versus place-based housing subsidy programs. And in doing so we hope to provide insight for Australia into likely effects of providing housing subsidies to lower income families, especially to those families with children. 2.2. Section 8 voucher program background As described above, the U.S. Department of Housing and Urban Development (HUD) currently provides housing assistance to low-income households through a variety of programs, including the Section 8 tenant-based voucher program (officially known as the Housing Choice Voucher Program since 1999). 1 This program, which is operated by HUD in conjunction with over 3,000 local public housing authorities (PHAs), currently serves about 2.2 million families nationally, including more than one million families 1 The “Section 8” designation refers to the program’s statutory authorization under Section 8 of the United States Housing Act of 1937, as amended by the Housing and Community Development Act of 1974. Although the official title of Section 8 tenant-based assistance is now called the Housing Choice Voucher Program, most researchers and administrators still refer to it as the “Section 8 voucher” program. We use the “Section 8” designation in this paper. 4 with minor children (U.S. Department of Housing and Urban Development, 2010). The primary objective of the program is to enable “very low-income families, the elderly, and the disabled to afford decent, safe, and sanitary housing in the private market.” 2 A secondary objective of the program involves facilitating the relocation of recipients to better neighborhoods. 3 The process of securing a Section 8 voucher begins with the submission of an application to a PHA at a time when the waiting list is open and the PHA is accepting applications; upon submission, applicants are assigned a position on the waiting list. 4 Each PHA has the autonomy to establish preferences for individuals or households with particular characteristics. 5 When the applicant’s name rises to the top of the waiting list, the household meets with housing authority staff who outline the rules and requirements of the Section 8 program and provide recipients with instructions for seeking housing compliant with the program. Under the program, voucher recipients are responsible for locating housing in the private market that meets a minimum standard of health and safety. This housing can take the form of a single-family home, a townhouse, or an apartment, but any unit a recipient locates must be owned by a landlord who is willing to rent under the terms of the program. If a voucher recipient—whose income must, in general, be below 50 percent of the median income of the county or metropolitan area in which 2 http://www.hud.gov/offices/pih/programs/hcv/about/fact_sheet.cfm#10 3 As the program has expanded over time, a number of constraints have partially interfered with the goal of geographic mobility for voucher recipients. One constraint has been the limited geographic span of many local PHAs that serve only parts of metropolitan areas. While some PHAs allow recipients to find housing in other jurisdictions, administrative burdens and the need to transfer supporting funds constrain this practice. Such transfers also impose additional costs on recipients in the form of duplicate application, orientation, and program criteria (Katz and Turner, 2000). 4 At many PHAs, particularly those in urban areas, Section 8 waiting lists are open for limited periods of time—often only a week or two each year. In an extreme example, after opening for a couple weeks in 2007 the Section 8 waiting list at the PHA in Madison, Wisconsin was closed throughout all of 2008 and 2009. Applicants can apply for project-based housing assistance at the same time they apply for Section 8 assistance. Waiting lists for project-based housing assistance are generally more likely to be open and to be shorter than are the Section 8 waiting lists. Applicants who received a Section 8 voucher in Wisconsin in 2008 spent an average of 27 months on the waiting list. PHAs differ in their policies toward project housing residents who reach the head of a Section 8 waiting list; some authorities skip past their name and do not inform the residents that they have reached the head of the Section 8 list, whereas other authorities allow project residents to move out of the project and into a Section 8 apartment if they reach the head of the Section 8 waiting list. 5 For a comprehensive description of waiting list policies—including common examples of preferences instituted by PHAs—see http://www.hud.gov/offices/adm/hudclips/guidebooks/7420.10G/7420g04GUID.pdf. 5 they live—is able to locate suitable housing, then the recipient household generally contributes 30 percent of its income toward rent. 6 The Section 8 program then subsidizes the difference between the tenant contribution and actual rent, up to a locally defined “fair market rent” payment standard.7 3. Conceptual Issues in Understanding the Behavioral Effects of Voucher Receipt The complex nature of the Section 8 program generates a diverse set of opportunities and incentives that may influence the behavior of voucher recipients in many different ways. As a result, it is difficult to make clear, unambiguous predictions regarding expected effects of the program (Jacob and Ludwig, 2008; Shroder, 2002a). This theoretical ambiguity gives greater significance to the empirical relationships, which have been studied by researchers in recent years. Prior to reviewing the literature on this topic, and situating our study within this body of research, we explore the variety of conceptual issues that arise when considering the effect of voucher receipt on a number of outcomes beginning with employment and earnings and then turning to neighborhood, family composition and childcare. 3.1 Employment and earnings effects In theory, voucher receipt enables recipients to make location and other changes that may result in improved labor market outcomes. Specifically, voucher receipt presents households with an opportunity to relocate to areas with available jobs, better child care options, lower crime rates, and other characteristics that may encourage and enable individuals to locate and maintain steady, desirable employment. Relocation of this sort could result in increased adult earnings and incomes, reduced reliance on welfare assistance, and better outcomes for children. At the same time, however, the difficulties and disruptions associated with preparation for and execution of a move to a different neighborhood, even one with better job opportunities, may lead a new 6 See http://www.hud.gov/offices/pih/programs/hcv/about/fact_sheet.cfm. Each PHA must provide 75 percent of its vouchers to applicants whose incomes do not exceed 30 percent of the area median income. 7 This standard is set by the HUD at the 40th percentile of the local rental market, as calculated by the monetary value of leases commenced in the previous year. 6 voucher recipient to temporarily work fewer hours in an existing job, or to search for a different job. A move to a new neighborhood may also disrupt previous social and support arrangements from friends and neighbors to childcare arrangements (Ross, Reynolds, and Geis, 2000; Swartz and Miller, 2002). These factors could lead to lower short-run attainments across a variety of economic and social dimensions— including labor market outcomes. In addition to the potential short-term decrease in earnings and employment caused by such disruptions, several features of Section 8 program design may also lead voucher recipients to reduce employment and earnings relative to their pre-receipt levels. First, because the Section 8 program requires recipient households to contribute 30 percent of income toward rent and then subsidizes the difference between the tenant contribution and actual rent, the subsidy value of recipients’ Section 8 voucher falls as their income rises. In terms of standard economic theory, voucher receipt increases the marginal tax rate on earnings of all program beneficiaries, hence increasing work disincentives (Van Ryzin, Kaestner, and Main, 2003). Second, because the Section 8 program subsidizes the difference between the 30 percent of income tenant contribution toward rent and the rent that is actually charged, the program provides an effective income boost to households. Standard economic theory predicts that increases in income will affect the trade-off between labor and leisure, resulting in an increase in leisure consumption and an equivalent decrease in hours worked and earnings. Finally, the Section 8 program specifies an income threshold that households must fall below in order to be eligible for voucher receipt. If a household has income above the eligibility threshold, continued voucher receipt worth thousands of dollars annually is jeopardized. Hence, after receipt, households may choose to reduce their earnings in order to ensure that they will maintain eligibility for voucher receipt. 8 Taken together, these three aspects of the Section 8 program design—the increase in the marginal tax rate, the increase in household income, and the income eligibility threshold—provide 8 This consideration will be more salient for cases whose income is near the program eligibility limit. 7 incentives for households to decrease their employment and earnings, relative to a counterfactual of receipt of no housing assistance. 9 Given the competing conceptual considerations, a clear prediction regarding the labor market effects of voucher receipt is not possible. Although it is difficult to make any absolute predictions about the relationship between voucher receipt and labor market outcomes, the preceding discussion does support a number of relative predictions. First, all else equal, cases that are near the income eligibility threshold are likely to exhibit more negative labor market responses relative to cases that lie further from the eligibility threshold. Hence, we expect that groups with traditionally high relative earnings capacity (e.g., whites, those with more education, married parents) will exhibit more negative labor market responses than groups that traditionally have lower earnings capacity. Second, while the income effect stemming from voucher receipt will affect all recipients, we expect that this income effect would be larger for those population groups with greater impediments to work, such as those with greater family responsibilities (e.g., families with children, especially single parents; older workers with lower labor market attachments). Our empirical analysis will address these conjectures, but we first review existing evidence on this issue. 3.2 Neighborhood quality Decisions regarding neighborhood quality may also be affected by the fact that voucher receipt alters the budget constraint for housing. 10 As we described above, as a result of the program design 9 Two of these theoretical considerations—the increased marginal tax rate and the increased income provided by voucher receipt—apply only when the counterfactual is specified as receipt of no housing assistance, as it is in this analysis. If the counterfactual is specified as receipt of public housing, as in the Moving to Opportunity (MTO) experiment, then voucher receipt does not result in increased marginal tax rates or increased household income because residents of public housing, like voucher recipients, contribute 30 percent of their income toward rent, with the government subsidizing remaining rental costs. As we explore in greater detail later, varying counterfactuals may provide a partial explanation for the discrepant evidence on the relationship between voucher receipt and labor market outcomes in previous studies. 10 It is important to note that Section 8 voucher receipt alters recipients’ budget constraint for housing only when the counterfactual is specified as receipt of no housing assistance, as it is in this analysis. If the counterfactual is specified as receipt of public housing, as in the Moving to Opportunity (MTO) experiment, then voucher receipt Comment [MSOffice1]: Do we do this? 8 voucher recipients face a zero marginal price of housing up to the locally defined fair market rent. 11 Figure 1, which presents recipients’ budget constraints in the absence and presence of the Section 8 program, illustrates that the program will often result in an increase in recipient housing consumption. If neighborhood quality represents an important site factor that households consider in choosing housing option, standard economic theory predicts that voucher receipt would result in improved neighborhood quality. However, if households place the great majority of weight on unit characteristics or nonneighborhood site factors in selecting housing, voucher receipt may not result in improved neighborhood quality. Given these incentives, voucher receipt is unlikely to lead to a decrease in neighborhood quality. [Insert figure 1 about here] 3.3 Household/family composition Regarding household/family composition, three aspects of the Section 8 program design—the income gain, the increased marginal tax rate, and the income ceiling for benefits—are likely to affect recipients’ choices. These include whether the household is a single or multigenerational family for example. Income Gain First, as Figure 1 indicates, the Section 8 program can result in an income boost for recipient families, which may enable a variety of changes in household/family composition that had previously been constrained by financial considerations. Recipients may be able to terminate multigenerational housing arrangements or cohabitation relationships with other adults that were necessary to meet all financial obligations. Changes in these arrangements would imply a reduction in the number of adult does not alter recipients’ budget constraint because residents of public housing, like voucher recipients, contribute 30 percent of their income toward rent, with the government subsidizing remaining rental costs. 11 Technically, recipients face a zero marginal price of housing for units above the minimum acceptable standards of health and safety and fair market rent. Beyond the level of fair market rent, voucher recipients are able to purchase additional housing (up to 40 percent of their income) by paying the incremental market rent, without loss of the voucher. 9 members in the household. On the other hand, the increase in income associated with voucher receipt may provide individuals with the ability to support adult children or other individuals experiencing hardship. This consideration implies that voucher receipt could result in the addition of adult members to the household. The additional income provided by a voucher also seems likely to provide recipients with the resources necessary to support additional children, especially because the value of a rental voucher can increase with larger housing units, which can be justified to accommodate additional children. Increase in Marginal Tax Rate Because the Section 8 program requires recipient households to contribute 30 percent of income toward rent, the program subsidy is effectively income-conditioned. 12 At the margin, this may discourage the addition of earning adults to the household, and encourage departure of earning adults who had previously been in the household primarily to meet financial obligations. Income Ceiling for Benefits Third, if a household has income above the income eligibility ceiling, continued voucher receipt is jeopardized. Hence, after receipt, households—especially those whose income is near the program eligibility limit—may reduce the number of earning adults in the household in order to ensure that the household will retain eligibility for voucher receipt. Taken as a whole, the Section 8 program design seems likely to create an incentive structure that would lead to a reduction in the number of adult members of a household and encourage the addition of children. Moreover, the relocation that often accompanies Section 8 voucher receipt is likely to affect the theoretical considerations identified above. Relocation provides a natural opportunity for households to alter their composition and represents an important mechanism for families/households to change their neighborhood surroundings. Because relocation often takes place soon after voucher receipt, significant change in household/family composition and neighborhood quality may occur in the first year of voucher 12 Again, it is important to note that Section 8 voucher receipt increases household income and the marginal tax rate only given our counterfactual of no receipt of housing assistance; see note 10. 10 receipt, with subsequent stability in household/family composition and locational characteristics after this re-optimization. 13 Our empirical analysis will assess the accuracy of these predictions and conjectures. 3.4 Take-up of child care benefits Given the incentives implicit in housing voucher programs, standard economic theory is not able to provide unambiguous predictions regarding expected program impacts on the take up of child care benefits (Shroder, 2002a). On one hand, voucher recipients could use the opportunity provided by their voucher to find housing closer to areas with available jobs and child care programs. On the other hand, voucher receipt may result in recipients relocating to areas where they are unfamiliar with the local child care options. And finally, if voucher recipients move from a multi-generational family living together to a single generational family, there may be greater need for more formal childcare to replace “grandparent or other family member care”. Even if it were clear that receipt of a Section 8 voucher was related to changes in child care usage, identifying the causal mechanisms leading to these relationships is difficult. For example, evidence of increased child care take-up over time for Section 8 voucher recipients relative to nonrecipients could reflect the fact that families obtaining a subsidy are more skillful in navigating complex bureaucracies, or that they are more persistent, or have other attributes that explain both their securing a Section 8 voucher and their program take-up choices. In short, securing a housing voucher and demanding more child care services likely requires many of the same personal characteristics, making any causal effect of vouchers difficult to identify. 13 Many of the households that we classify as voucher recipients do not use their voucher during the entire observation period. Indeed, the typical recipient household tends to use their Section 8 voucher for less than four years. Our analysis describes how the households which received and used a voucher in the treatment year revealed geographic area and household composition outcomes in subsequent years, whether or not they continued to use their voucher for the entire observation period. 11 4. Empirical Research on the Behavioral Effects of Housing Assistance In this section of the paper we discuss existing analysis of the influence of housing vouchers on recipient labor market, neighborhood quality, household/family composition, and childcare use responses attempting to provide some insight on the sources of differences. 4.1 Research on labor market effects An extensive body of research, both experimental and nonexperimental, examines the labor market effects of Section 8 voucher receipt. Less research has been conducted on the labor market effects of project-based housing assistance, such as public housing or housing developed with assistance from the Low Income Housing Tax Credit Program. Shroder (2002a) comprehensively reviews early work on the labor market effects of vouchers, describing mixed evidence on the subject; he concludes that housing assistance has little overall effect on individuals’ labor market supply. Since Shroder’s review, several additional studies have analyzed these relationships. The experimental studies are described in Table 1a, and the nonexperimental studies in Table 1b. The experimental studies all focus on the labor market effects of housing voucher receipt; some of the studies specify project-based assistance as the counterfactual, while others compare voucher recipients to those receiving no housing assistance. The nonexperimental studies tend to analyze the labor market effects of any housing assistance, either voucher-based or project-based. Specifically, five of the six nonexperimental studies include both voucher recipients and recipients of project-based assistance in their sample of housing assistance recipients; the sole study that does not include recipients of both types of assistance—Newman, Holupka, and Harkness (2009)—analyzes only recipients of project-based assistance. All nonexperimental studies in Table 1b specify the counterfactual as no housing assistance. [Insert tables 1a and 1b here] Results from the experimental studies in Table 1a are somewhat inconsistent. Two of the studies—the Welfare to Work (WtW) and Chicago Housing Authority (CHA) experiments—report a significant negative effect of voucher receipt on recipient earnings. The other two studies—the Gautreaux 12 study and the Moving to Opportunity (MTO) experiment—find no evidence of a negative relationship between voucher receipt and recipient earnings. We briefly review each of these studies before discussing factors that could contribute to the discrepant results. The Gautreaux study represents the earliest experimental evaluation of voucher-based housing assistance. This study, which took place in Chicago from the 1970s to the 1990s, compared the earnings of public housing project residents who were given vouchers and randomly assigned to move to the suburbs to the earnings of public housing residents who were given vouchers and randomly assigned to remain in the city. The analysis found voucher recipients assigned to move to the suburbs exhibited significantly higher earnings than voucher recipients assigned to remain in the city. MTO is the most prominent experimental evaluation of voucher-based assistance. This study randomly assigned participating public housing residents in five large urban areas to one of three groups: a control group that remained in public housing, a comparison group that received a voucher that could be used anywhere, and an experimental group that received a voucher that could only be used in neighborhoods with low poverty rates. The study then evaluated the earnings outcomes of these three groups, and generally failed to find any statistically significant differences between the three groups in any of the first four years after random assignment (U.S. Department of Housing and Urban Development, 2003). A third experimental evaluation—the Chicago Housing Authority (CHA) experiment—exploits the fact that 82,600 Chicago families were randomly assigned a position on the waiting list for a Section 8 voucher in 1997. The study compares the earnings and employment of families that received a voucher to the earnings and employment of families that remained on the waiting list and secured housing in the private market. Results of the study indicate that voucher receipt results in significant decreases in earnings and employment. These decreases persisted over the full period of observation. The final experimental evidence on the relationship between voucher receipt and labor market outcomes is from the Welfare to Work (WtW) evaluation. This study was conducted across six cities and randomly assigned approximately 8,700 families that were receiving or eligible to receive welfare 13 benefits to either a treatment group that received a Section 8 voucher or a control group that did not receive a voucher. Analysis of the relationship between voucher receipt and labor market outcomes revealed that the treatment group initially worked and earned less than the control group, but these differences dissipated to statistical insignificance by three and a half years after initial receipt. The divergent findings of the experimental evaluations of tenant-based housing subsidies— vouchers—may appear somewhat puzzling at first glance, but the basic difference in the counterfactual adopted by the studies can help reconcile the findings. Consider first the MTO and Gautreaux evaluations. Both of these studies provided vouchers only to samples that were public housing recipients at the outset of the program, so that voucher receipt did not alter the marginal work incentives of voucher recipients from what they experienced in public housing; it did not increase household income or raise the marginal tax rate that they faced. Hence, these studies evaluated the effects of residential relocation and not the receipt of an added public benefit. Given the counterfactual in these studies, it is perhaps not surprising that neither study found a negative labor market effect from voucher receipt. In contrast, both the WtW and CHA experiments compare voucher recipients to households receiving no housing assistance, thereby specifying a counterfactual that results in voucher receipt improving households’ financial situations and increasing the marginal tax rate they face. Both of these evaluations find voucher receipt to have a negative effect on earnings and employment, particularly in the years immediately following voucher receipt. In addition to the varying counterfactuals underlying the studies, the characteristics of the samples used in these analyses also differ in important ways. Three of the studies—MTO, Gautreaux, and the CHA—employ samples consisting entirely of households in large urban areas. WtW includes middlesize cities (e.g., Augusta, Fresno, and Spokane), in addition to two large cities (Houston and Los Angeles). The MTO and WtW samples were limited to families with minor children; the WtW sample was further limited to families receiving, or eligible to receive, welfare benefits (TANF), and for whom (in the judgment of housing agency officials) the subsidy “was critical to the families’ ability to obtain or retain employment” (Mills et al., 2006, 7). The MTO and the CHA samples were also racially selective, 14 with non-Hispanic whites composing only about 3 percent of participants in each study. In sum, previous experimental work has employed samples that differ in composition—none of which are broadly representative of the population of voucher recipients nationally—which could restrict comparability of results. The nonexperimental research examining the effect of housing assistance on labor market outcomes is summarized in Table 1b; results in these studies also diverge. As is the case with the experimental research, these divergent findings can be partially reconciled by examining the counterfactuals and samples underlying the studies. The two studies that found housing assistance to result in decreased earnings relied on nationally representative samples and a counterfactual of no receipt of housing assistance (Olsen et al., 2005; Susin, 2005). The three studies that find housing assistance to have no effect on earnings are either based on nonrepresentative localized samples (Bania, Coulton, and Leete, 2003), specify a counterfactual that may not result in housing assistance truly altering work incentives (Van Ryzin, Kaestner, and Main, 2003), or employ methodological approaches that do not warrant causal inferences (Harkness and Newman, 2006). While Newman, Holupka, and Harkness (2009) compare housing assistance recipients to people with no assistance—thus specifying a counterfactual in which housing assistance receipt alters work incentives—they study only the effect of project-based assistance. 4.2 Research on neighborhood quality effects A relatively limited body of empirical research has examined the relationship between voucher receipt and neighborhood quality; most of it is based on evidence from three experimental studies, especially the Moving to Opportunity (MTO) experiment. This study randomly assigned participating public housing residents in five large urban areas to one of three groups: a control group that remained in public housing (Control group), a comparison group that received a voucher that could be used anywhere (Section 8 group), and an experimental group that received a voucher that could be used only to secure housing in areas with low poverty rates (MTO group). The final evaluation of the program finds that, relative to the control group, families assigned to the MTO group were lived in neighborhoods with lower 15 poverty rates (Sanbonmatsu et al. 2011). When averaged over the 10 to 15-year study period, families assigned to the MTO and Section 8 groups lived in census tracts with average poverty rates of 31 percent and 33 percent, respectively. This compares favorably to the average poverty rate of 40 percent in the census tracts in which families assigned to the control group lived over the study period. A second source of experimental evidence on the effect of voucher receipt on neighborhood quality is Jacob’s (2004) analysis of a natural experiment in Chicago. Jacob exploited the fact that the Chicago Housing Authority offered Section 8 vouchers to public housing residents whose units were scheduled for demolition. In his analysis, Jacob classified voucher households whose units were scheduled for demolition as treatment cases while a group of voucher recipients whose units were not scheduled for demolition served as the control group. Jacob finds that, three years after initially receiving notification that their public housing unit would close, treatment group members’ average census tract poverty rate was 53 percent, whereas the average poverty rate for members of the control group was 67 percent. The final source of experimental evidence on the relationship between voucher receipt and neighborhood quality is the Welfare to Work (WtW) evaluation. This study was initiated in 2000 and conducted across six cities—Atlanta, Augusta, Fresno, Houston, Los Angeles, and Spokane. In this study, approximately 8,700 families that were receiving or eligible to receive welfare benefits were randomly assigned to either a treatment group that received a Section 8 voucher or a control group that did not receive a voucher. Results of the study indicate that four years after random assignment, voucher recipients lived in neighborhoods with lower poverty rates, higher adult employment, and lower welfare participation rates than did the control group (Mills et al. 2006). 14 Although these differences are statistically significant, they are quite small in magnitude relative to the two experimental studies described above. For example, the average poverty rate in census tracts where members of the treatment 14 Notably, voucher receipt did not have a significant impact on census tract poverty rate until the fifth quarter after random assignment. 16 group resided was only 0.6 percentage points lower than the average poverty rate in census tracts where members of the control group resided. 15 Taken together, the existing literature suggests that Section 8 voucher receipt can result in households residing in higher-quality neighborhoods, at least as measured by the poverty rate of the census tract. However, estimates of the extent to which Section 8 recipients reside in higher-quality neighborhoods are quite inconsistent across the three experimental studies; estimates of the difference in the average neighborhood poverty rates for the treatment and control groups appear to be larger for the studies using public housing recipients (Jacob and MTO) than for those that test the effect of voucher receipt on a more general population of recipients (WtW). 16 4.3 Research on household composition effects Research on the effects of housing voucher receipt on household composition is far more limited. To our knowledge, the Welfare to Work experiment is the only study that has reported on these effects to a meaningful extent. About four years after random assignment, voucher receipt reduced the proportion of 15 The limited nonexperimental research on the effects of low-income housing vouchers also shows that Section 8 voucher recipients are less likely than public housing residents to live in high-poverty neighborhoods. For example, Newman and Schnare (1997) found that 54 percent of public housing residents lived in neighborhoods in which more than 30 percent of residents were poor, whereas only 15 percent of Section 8 voucher recipients lived in such neighborhoods. 16 The discrepant magnitudes are likely due in part to contrasting counterfactuals. The counterfactual in the Jacob and MTO studies is residence in traditional public housing. The findings in these studies that voucher receipt results in households living in neighborhoods with significantly lower poverty rates may not be surprising, given that public housing complexes are often located in neighborhoods that are quite poor, particularly in the cities where Jacob’s study and MTO took place. The counterfactual in the WtW study, in contrast, was specified as no voucher receipt, and just 7 percent of the households in the experiment lived in public housing at the time of random assignment. Again perhaps not surprisingly, this study found voucher receipt to result in households living in areas with only slightly lower poverty rates. (The study finds that those who lived in public and assisted housing were more likely to move to a different census tract [p=<.01] but not more likely to move to a tract with a lower poverty rate than were control group members who resided in public or assisted housing at baseline [exhibits D.1 and D.3].) Because most housing voucher recipients do not transition from traditional public housing to Section 8 voucher receipt, but rather from no housing assistance to Section 8 receipt, residence in public housing is not always an ideal counterfactual in the study of housing voucher effects. Residence in public housing in large central cities may be an especially misleading counterfactual for some studies of housing vouchers, since the majority of voucher recipients do not reside in central cities. The most recent national data show that less than half (47 percent) of voucher recipients lived in central cities, 14 percent resided outside of metropolitan statistical areas and 39 percent resided in suburbs (HUD 2008b). 17 multigenerational households and average household size, but did not have an effect on the likelihood of residing with a spouse or partner or on the number of children living in the household (Mills et al. 2006). Given the limited existing empirical research on household composition, our analysis has the potential to yield insights into the effects of policy on this important social outcome. 4.4 Research on child care take-up Non-experimental empirical studies have addressed the effects of housing assistance on public program utilization generally, but none of these studies study the take up of public child care services. 5. Our Research Approach Below we analyze the effect of housing voucher receipt on employment and earnings, neighborhood quality, household composition and childcare use among a broad sample of recipient households in Wisconsin. The breadth and diversity of our sample indicates that it is broadly representative of voucher recipients nationwide. 17 The large sample size also enables us to separately analyze the effects of voucher receipt for a wide variety of policy-relevant socioeconomic subgroups; here we only summarize these results. We specify the counterfactual as receipt of no housing assistance, which results in voucher receipt increasing both the marginal tax rate and household income of recipients; this counterfactual is similar to those used in the CHA and WtW experiments. Under this counterfactual, our analysis effectively estimates the effect of a marginal expansion of the Section 8 program on the behavior of new voucher recipients, relative to a comparison group that receives no housing assistance. 18 17 According to data on the HUD Web site “A Picture of Subsidized Housing: 2008,” the demographic profile of Section 8 subsidized households in Wisconsin is similar to that for the United States as a whole with the only major difference being a lower proportion of Hispanics among recipients in Wisconsin (5 percent vs. 17 percent). In terms of other characteristics comparing Wisconsin to the United States: 12 percent vs. 15 percent are 2 adults; 40 percent vs. 36 percent are single adults; 49 percent vs. 48 percent are female heads with dependent children; 20 percent vs. 18 percent are disabled; 59 percent vs. 56 percent are between ages 25 and 50; 18 percent are age 62 plus (both); 38 percent vs. 42 percent are black; and 1 percent are Native American (both). 18 For two distinct, yet related, reasons we believe this to be the most appropriate counterfactual for understanding the behavioral effects of voucher receipt, and hence for evaluating the impacts of this public program. First, given the lengthy waiting lists for Section 8 vouchers—households that received vouchers in Wisconsin in 2008 spent an 18 5.1. Data and estimation sample—the CARES database In our analysis, we use a dataset consisting of detailed administrative records from two large-scale databases maintained by the State of Wisconsin, supplemented with data from the U.S. Census Bureau. The CARES Database The administrative records contained in the large-scale Client Assistance for Re-employment and Economic Support (CARES) database serve as the basis of the dataset we created for this analysis. CARES contains extensive information on all individuals residing in a household that receives benefits from any public program administered by the state. The demographic information contained in CARES includes age, race, and disability status of all members of the living unit, as well as the years of education for all adults in the case. In addition, the household’s history of participation in a wide variety of meanstested programs and the address history of the household are all included in the database. Finally, and most importantly for this analysis, the CARES database indicates whether households receive voucherbased housing subsidies, reside in project-based public housing, or receive no housing assistance. The CARES database is very large; some 470,000 cases were open in CARES over the course of 2003. As the first step in creating our dataset, we extracted from CARES all cases that applied for or received food stamps or TANF in 2001, 2002, or 2003. 19 This yielded three separate calendar-year cohorts. Within each of the three calendar-year cohorts, we formed two unique groups, one composed of families that first received a public rental subsidy in that year, and the other made up of families that did average of over two years on the waiting list—it is reasonable to analyze an expansion of the Section 8 program that would increase the number of available vouchers. Second, any new voucher recipients resulting from a marginal expansion of the Section 8 program are likely to have received no housing assistance prior to voucher receipt; data in our sample indicate that nearly 95 percent of new voucher recipients received no housing assistance prior to voucher receipt; less than 10 percent moved from receipt of public housing assistance directly to voucher receipt. 19 We extract cases that applied for food stamps or TANF in 2001–2003 because it is during the application (and renewal) process for these programs that households are asked whether they receive voucher-based subsidies, reside in project-based public housing, or receive no housing assistance. The cases that receive no housing assistance serve as potential comparison cases in this analysis. 19 not. 20 To obtain our desired counterfactual of no housing assistance, we excluded from our sample all cases that resided in public housing. 21 Table 2 summarizes the demographic characteristics of the two groups used in our analysis extracted from the CARES database. [Insert table 2 here] After creating the voucher and non-voucher groups for each of the three cohorts, we pooled the cohorts to streamline our analysis. Then, for each case in our dataset, we extracted a wide variety of variables from CARES for use in our analysis. These variables include demographic characteristics, household composition including in particular the presence of children by age group, address, and participation in means-tested programs, including in particular childcare subsidies.. We extracted this information annually, beginning at baseline and extending through 2006, or up to six years after voucher receipt. The UI Database After using the CARES database to identify voucher and potential comparison cases—and to glean important baseline and up to six years of subsequent information on these cases—we then added employment and earnings information to each case record. Using administrative records from the Unemployment Insurance (UI) System—another large-scale database maintained by Wisconsin state government—we merged individual-level earnings data from 1996 until 2006 into our dataset. 22 This merge provided us with annual earnings data for all individuals and cases in our dataset from five years 20 A family unit is defined as being in the voucher group if the CARES case file indicates that it first received a rental subsidy in a particular calendar year or if the case file indicates that the case received a rental subsidy after a minimum of two consecutive months of nonreceipt. Nonrecipient units are those cases that did not join the voucher group according to this criterion and were not receiving a rental subsidy. As noted above, those that resided in public housing at the time of their initial application or receipt of TANF or food stamps are excluded from our analysis. 21 22 We also excluded a few cases that were recorded as earning over $50,000 in a calendar year. Although the employer-reported earnings data in the UI database are reported on a quarterly basis, we analyze annual earnings in this study. 20 prior to voucher receipt up to six years after receipt. In our primary analysis, we estimate the effect of voucher receipt on casehead earnings. From the earnings data we derived our employment variable, which measures the number of quarters an individual worked in each year. An individual was recorded as working in a given quarter if the UI database contained a positive earnings report for the individual in that quarter. We then summed the number of quarters worked in each calendar year to generate employment information for all individuals and cases in our data again from five years prior to voucher receipt up to six years after receipt. Census block group data—neighborhood characteristics As the final step in creating our dataset, we commissioned the University of Wisconsin–Madison’s Applied Population Lab to match each address in the address history of all cases in our database to a census block group, and then record a variety of characteristics associated with each block group. 23 We then merged approximately 20 block group characteristics from the 2000 Census into the dataset. 24 From these 20 block group characteristics we selected four—the unemployment rate, the percentage of persons in poverty, the percentage of 16- to 19-year-olds in school, and the median gross rent—to characterize multiple aspects of neighborhood quality, specifically dimensions related to the labor market, education, income, and housing quality. 25 23 The block group information that we attach to each case record is based on the dimensions identified in Feins (2003) and include: percentage of persons in poverty, percentage of households receiving public assistance income, percentage of female-headed families with children, percentage of high school dropouts, unemployment rate, labor force participation rate, percentage of families with no workers, percentage of people with incomes twice the poverty level, percentage of people with education beyond high school, percentage of 16- to 19-year-olds in school, percentage of housing stock that is owner-occupied, median family income, racial composition, median house value, and median gross rent. 24 Because the 2000 Census served as our data source on neighborhood quality at the block group level, our measures of neighborhood quality are not dynamic in nature. Consequently, any observed changes in neighborhood quality are attributable to household relocation, rather than a change in neighborhood quality over time. 25 Examining the bivariate correlations between these measures suggests that we were largely successful in identifying different dimensions of neighborhood quality. Although the neighborhood unemployment rate and the percentage of persons in poverty correlate at approximately 0.7, all remaining correlations fall below 0.3, with most below 0.2.The precise correlations are available from the authors upon request. Taken together, this suggests the 21 After merging the census block group data into the existing CARES/UI dataset, we have complete data for 12,170 cases in the voucher group and over 342,000 nonvoucher, or potential comparison, cases for up to six years after voucher receipt. 26 As we have indicated, this sample is broad and includes both urban and rural residents, households with a wide variety of racial and ethnic backgrounds, and cases with a variety of familial compositions, from single individuals to married couples with multiple children. 5.2. Identification strategy Identifying the effect of voucher receipt on labor market outcomes requires leveraging the more than 342,000 potential comparison cases in a manner that results in a comparison group indistinguishable from the voucher group on all characteristics except voucher receipt, or where any differences between the two groups can be accounted for in a manner that renders treatment assignment ignorable. Put another way, treatment status—voucher receipt—must be exogenous. Failure to achieve treatment exogeneity leaves open the possibility that any observed relationships between voucher receipt and labor market outcomes are spurious. We have several options for creating a comparison group meeting these conditions. We ultimately determined that a propensity score matching procedure represented the best approach for creating a comparison group that permitted valid causal inferences regarding the effect of voucher receipt on casehead employment and earnings. 27 In its essence, propensity score matching involves estimating the existence of multiple dimensions of neighborhood quality and opens the possibility of heterogeneous effects of voucher receipt across these dimensions. 26 Readers may note that the number of cases for which we have complete data (12,170 voucher cases and over 342,000 potential comparison cases) is not equal to the sum of rental subsidy and non-rental subsidy cases in Table 2. This is because Table 2 presents demographic characteristics for all cases extracted from the CARES database. Not all of these cases were able to be linked to UI earnings records or geocoded to a census block group. 27 The primary papers describing propensity score matching approaches include Rosenbaum and Rubin (1983); Heckman, Ichimura, Smith, and Todd (1996, 1998); Heckman, Ichimura, and Todd (1997); and Smith and Todd (2005). Applications of the method include Dehejia and Wahba (1999, 2002); Lechner (2002); Hotz, Imbens, and Klerman (2002); and Dyke, Heinrich, Mueser, Troske, and Jeon (2006). 22 probability that a specific case will receive the treatment (voucher receipt), given that case’s observed characteristics, and then matching each treatment case to one or more potential comparison cases with similar, or ideally identical, propensity scores. The goal of this procedure is to generate a comparison group that is balanced with the treatment group on all characteristics that may induce a spurious correlation between treatment status and the outcome being studied; that is, to generate a sample of cases where treatment status is exogenous. 28 After using a propensity score procedure to generate the matched comparison group, we isolated the effect of voucher receipt on casehead labor market outcomes— earnings and employment—in a multivariate framework. Specifically, we use a difference-in-differences regression model containing a wide variety of covariates to estimate the effect of voucher receipt on labor market outcomes. By combining propensity score matching with regression analysis we exploit the advantages of each method while mitigating the limitations associated with each procedure. Indeed, prior research has found that combining propensity score matching with regression adjustment is preferable to applying either method by itself (Imbens and Wooldridge, 2008; Gelman and Hill, 2007). Given the nature of our sample and the estimation approach, our results reflect the impact of the receipt of a Section 8 voucher on labor market outcomes for a sample of recipient caseheads, relative to a group of matched comparison caseheads that received no housing assistance. In Appendix A, we describe our procedures in more detail. 6. Mobility Effects: No Housing Assistance Counterfactual Prior to analyzing the effect of voucher receipt on other behaviors, we estimate the effect of housing voucher receipt on the probability of the household changing residence within one year and within four 28 The theoretical properties underlying propensity score matching guarantee only that the procedure has the ability to eliminate differences on all observed characteristics used in the propensity score estimation; this procedure does not have the ability to correct for bias stemming from unobserved variables. As we describe in greater detail below, propensity score matching procedures have been shown to be particularly effective in reducing bias stemming from nonrandom treatment assignment under a number of conditions that we are confident our procedure meets. Our belief that our approach produces unbiased estimates of the effect of voucher receipt on labor market outcomes is supported by the results of several sensitivity analyses noted below. 23 years after the end of the month in which the case first received the housing voucher. Because changing residential location is a potential mechanism through which the other outcomes of voucher recipients may be altered, assessing the extent to which voucher receipt causes residential location change is relevant to our analysis of the effect of voucher receipt on these other effects. As noted above, the CARES database includes information on the address of each family, enabling us to identify changes in residence. As expected, the receipt of a housing voucher substantially increases the probability of changing residential location. For the new voucher recipients, 58 percent of voucher recipients had moved within one year after voucher receipt, compared to 44 percent of matched nonrecipient families. By four years after voucher receipt, 77 percent and 69 percent of the two groups, respectively, had moved. When estimated in a regression framework, the marginal effect of voucher receipt on the probability of moving within one year of receipt is 0.131; the marginal effect on moving within four years of receipt is 0.107. 29 Of course, voucher recipients’ behavioral effects may not only be affected by whether they move, but also where they move; the neighborhoods into which voucher recipients relocate may influence their subsequent behaviors. In other work, we have estimated the effect of voucher receipt on the quality of neighborhoods in which voucher holders reside, as measured by census block group characteristics (Carlson et al., 2011). Using four indicators of neighborhood quality—the unemployment rate, the percentage of persons in poverty, the percentage of 16- to 19-year-olds in school, and the median gross rent—we find voucher receipt to have little effect on neighborhood quality one year after receipt; relative to a matched comparison group, voucher recipients live in neighborhoods with slightly lower unemployment rates and slightly lower percentages of 16- to 19-year-olds in school, but the effects are substantively small. There are no statistically significant differences between voucher recipients and the matched comparison group on the other two indicators of neighborhood quality. Four years after receipt, voucher recipients lived in census block groups with a significantly lower percentage of persons in 29 Similar results are observed for each of the demographic subgroups. The results on geographic movement by demographic subgroup are available from the authors. 24 poverty and continue to reside in neighborhoods with lower unemployment rates. The magnitude of these effects, however, is rather small—for example, a 0.28 percentage point lower poverty rate and a 0.18 percentage point lower unemployment rate. 7. Labor Market Effects: No Housing Assistance Counterfactual We estimate the effect of receiving a Section 8 voucher on both the annual quarters worked and earnings of recipient caseheads using the entire sample of observations. The estimated model is equation (1), a generalized least squares difference-in-differences estimation with a case-level random effect. 7.2.1. Full-sample employment and earnings effects In results presented in Table 3 we see that, across all voucher recipients, there is no statistically significant change in quarters worked over the first five years after voucher receipt. However, in the sixth year after receipt, quarters worked increased by a statistically significant but substantively small .04 quarters per year; the average casehead receiving a Section 8 voucher had 2.4 percent more quarters worked per year than the mean comparison group casehead in the sixth year after voucher receipt. Table 4 presents our results for the earnings effect of voucher receipt. For the full sample, we estimate that receipt of a housing voucher results in an average decline of about $650 in casehead earnings in the initial year after voucher receipt. This corresponds to about 12 percent of the average earnings for the matched comparison cases. 30 Over subsequent years, however, the negative earnings effect is reduced, and by sixth year after voucher receipt, was less than $100. All of the annual negative differences are statistically significant except that for the sixth year after voucher receipt. 31 The differential pattern of employment and earnings results is interesting. While voucher receipt does not affect the number of quarters worked by recipient caseheads, it does cause a significant decline 30 Average earnings of the voucher group were not statistically different from the average earnings of the matched comparison group in the year prior to treatment. Hence, we assess the voucher group’s average earnings decline due to receipt of a Section 8 voucher as a percentage of the matched comparison group’s average earnings. 31 These results are generally consistent with the findings of the Welfare to Work evaluation. Jacob and Ludwig (2006, 2008) find that in the Chicago Public Housing experiment, voucher receipt caused a drop in earnings of approximately 10 percent over the post-receipt evaluation period. See Table 1. 25 in casehead earnings in the short-term, although earnings recover over the longer run. This is suggestive of a scenario where, in the short-term, caseheads reduce the number of hours they work, but do not cease employment altogether; perhaps caseheads give up a second job that had been required in order to meet the rent. However, as time passes, the negative earnings effect dissipates while employment remains largely unchanged. There are several potential explanations for this pattern. Perhaps caseheads transition into better-paying jobs over time. Alternatively, it could be that some cases went off voucher receipt and reverted to pre-voucher labor market behavior, which is likely attributable to the return of the nonvoucher incentive structure (i.e. no income threshold, lower implicit marginal tax rate, no income effect). [Tables 3 and 4 here] Family-type subgroup earnings effects of voucher receipt We estimated the mean effect of voucher receipt on casehead earnings by family type. We hypothesized that caseheads with larger obstacles to work (e.g., one-parent families) would have larger negative work and earnings effects. This hypothesis is largely supported by our estimates. For each family subgroup, the effect of voucher receipt on casehead earnings is large and negative in the year of receipt. The largest absolute declines are for single parents (-$833) or minus 21 percent. This is followed by those of couples with children whose average decline was -$784, far larger than those of households with no child (-$333 on average). For all of the family subgroups, the negative earnings effects are reduced over time. The pattern of reductions is not straightforward: single parents fade out quickly, and are only -$309 in year 4. For couples with children, the reduction is greatest among the three subgroups (-$544) after 4 years. By year six earnings effects are negative but statistically insignificant for both groups. 32 32 Although we believe a counterfactual of no housing receipt is most relevant, analysis of the effects of voucher receipt under an alternative counterfactual may be interesting and important. For example, it might be useful to estimate the effect that “vouchering out” public housing projects would have on the labor market behavior of recipients. Consequently, we present estimates of the labor market effects of voucher receipt under a second counterfactual—the receipt of public housing. These estimates are presented in Appendix B. Comment [MSOffice2]: Che ck out. 26 Interestingly, while overall there are almost no employment effects for these family type subgroups, the single exception is the increase in employment for single parents after 5 years (+.06). Thus for the family type with the greatest obstacle to employment and earnings (single parents), receiving a voucher appears to eventually lead to greater employment. 8. Household Composition Effects: No Housing Assistance Counterfactual In our estimation of the effect of voucher receipt on household composition, we first present results on the number of adults and number of children living in households. Then, we study the basis for these observed ‘count effects’ for adults by estimating the effect of voucher receipt on the addition and loss of adults. 8.1 Effects on number of adults and number of children Table 5 summarizes our findings concerning the effect of voucher receipt on the number of adults and the number of children in the household. Full sample results are presented in the first bank of the table; the remaining banks show effects on age subgroups of the population. We analyze these outcomes for up to five years after initial voucher receipt. [Insert table 5 about here] Our estimates reveal that one year after receipt, voucher receipt led to sizable and statistically significant reductions in the number of adults. Voucher receipt is also estimated to result in a decrease in the number of children, but the estimate is substantively small. The reduced number of adults is observed for the subsequent five years, though the magnitude of the effect diminishes across time. Beginning two years after voucher receipt, effect of voucher receipt on the number of children became positive, and the magnitude of the estimated effect increased in each succeeding year. Five years after voucher receipt, the effect of voucher receipt on the reduction in the number of adults was nearly equal to its effect on the increase in the number of children. For households headed by younger people (ages 18-31), the large, statistically significant, and negative treatment year impact on the number of adults is reduced in subsequent years, though it remains negative and statistically significant through the observation period. Five years after voucher receipt, 27 older household groups recorded decreases in the number of adults, but no significant effect on the number of children. Additional subgroup results are available from the authors upon request. 8.2 Effects on addition/losses of adults In this analysis, shown in Table 6, we separately estimate the effect of voucher receipt on adding and losing an adult member of the case. This analysis allows us to determine whether the reduction in the number of adults is primarily attributable to voucher recipients, relatively to the comparison group, actively shedding adult members from the case or simply being less likely adding additional adult members. The table presents the estimated marginal effects for the full sample, and age subgroups. [Insert table 6 about here] For the full sample, receipt of a housing voucher stimulates significant changes in household composition in the initial year of receipt. Consistent with the findings in Table 5, voucher receipt is estimated to increase the predicted probability of losing an adult by more than 5 percentage points in the treatment year. This effect is both statistically and substantively significant, given that the comparison group mean in the year of receipt is only 15.4 percent. This effect turns negative and statistically significant, albeit substantively small, for three of the next five years. Similarly, voucher recipients were also significantly less likely than cases in the matched comparison group to add an adult in the year of voucher receipt. Taken together, it appears that initial receipt of a voucher spurs recipients to reconsider, and generally decrease, the number of adults living in the household. Over the period of observation, the number of adults in the household appears to stabilize, but at a lower level. In the treatment year, households with heads in the youngest age category (ages 18-30) have sizeable and significant positive marginal effect (6.9 percentage points) of voucher receipt on the probability of losing an adult, and a sizable and significant negative effect (4.6 percent) on the probability of adding an adult. Both effects work to decreasing the number of adults in these households in the year of voucher receipt, relative to the matched comparison group. The initial negative effect on adding an adult is followed by an additional negative effect in the first post-treatment year, and then a positive effect in the fifth year after voucher receipt. These patterns are consistent with the overall effect of voucher 28 receipt in significantly reducing the number of adults in the households of those in the youngest age group over the observation period. For the older age groups, the large and significant positive treatment year effects on the probability of losing an adult and the large and significant negative effect on the probability of adding an adult are followed by generally small and statistically insignificant marginal effects on these outcomes in subsequent years. Taken as a whole, the results indicate that, relative to the matched comparison group, the lower number of adults in voucher cases is primarily attributable to these cases actively dropping adults in the initial year of receipt. However, a reduced probability of adding adults among voucher cases is undoubtedly responsible for a smaller portion of the observed lower number of adults, at least in the initial year of receipt. 9. Effects on Child Care Utilization: No Housing Assistance Counterfactual Table 7 summarizes the effects of voucher receipt on the use of state-subsidized child care services in the treatment year and over the following three years. The sample for this analysis only includes cases that contained at least one child under the age of 12 in each of the four years we analyze. The effects are estimated using the regression model described above, and summarized in the footnote to the table. Voucher receipt appears to have a statistically significant effect on the use of state-subsidized child care services, both in the treatment year and in subsequent years. Over the four-year period, the proportion of voucher families receiving child care subsidies consistently exceeds that of the matched comparison group families by about 4-6 percentage points. This difference in usage is statistically significant. Among the users of state-subsidized child care services, voucher recipients receive $200$400 more subsidy per year than matched comparison group members. Voucher receipt does not appear to have a significant effect on the choice between licensed (generally center-based) and certified (generally less expensive) care among families who receive child care subsidies. [Insert table 7 here] 29 Table 8 shows the effect of voucher receipt on state-subsidized child care use and subsidy values for families that have a child less than five years old in each of the years studied. The overall effects on child care use are again positive and statistically significant, but substantively larger for families with younger children. The usage rate of public vouchers exceeds that of matched comparisons by 5-7 percentage points over the years studied, or by about 10-15 percent. While families with young children using state- subsidized child care services are estimated to receive somewhat greater subsidies than matched controls, the differences are not statistically significant. Again, among child care users, housing voucher receipt does not appear to influence the choice of child care services between licensed care and certified care. [Insert table 8 here] 10. Supplemental Analyses and Robustness Tests Like all propensity score-based analyses, ours is subject to concerns that the results may be biased due to unobserved heterogeneity between the voucher and matched comparison groups. Hence, we have undertaken several sensitivity analyses and robustness checks; these diagnostic procedures provide confidence that our propensity score matching approach has provided unbiased and reliable estimates of the effect of voucher receipt on labor market outcomes. These additional tests, which also provide insights into the mechanisms of voucher receipt and behavioral effects, include: A pre-/post-voucher receipt comparison involving two cohorts of voucher recipients, A case-level fixed effects estimate, A test of potential bias due to selection on unobservables, Estimates based on alternative propensity score matching techniques, Estimates of behavioral effects using OLS estimation, Effects by duration of voucher holding, and Effects by the nature of program-induced neighborhood change. Taken as a whole, the results of all these sensitivity analyses and robustnesss tests are similar to our propensity score-based results and provide confidence in our primary results. These robustness tests and supplementary analyses are available from the authors, upon request. 30 11. Discussion and Conclusion We have used a longitudinal dataset containing information on more than 350,000 low-income households in a medium-sized, diverse state to study the initial and long-term mobility, and a variety of other behavioral effects of the receipt of a Section 8 housing voucher. Our data have comprehensive household—and in some cases, individual—demographic, income, and benefit receipt information extending over six years, and have been merged with data on employment, earnings, and geographic location. In our primary analysis, we identified a large sample of families that received a housing voucher during calendar years 2001–2003 and, using propensity score matching techniques, a comparison group that received no housing assistance. However, we also performed a secondary analysis in which we estimated the labor market effects of voucher receipt against a counterfactual of public housing receipt. In both analyses, using a difference-in-differences regression framework coupled with propensity score-based techniques, we studied the employment and earnings effects of voucher receipt over a sixyear period. By analyzing impacts for a diverse and large group of low-income families, we extend findings from prior studies typically based on households that have lived in public housing or in medium to large urban areas. We distinguish these effects by family type subgroups. We tested the robustness of our results with multiple alternative specifications and other tests, and distinguished impact by the duration for which voucher receipt is retained and by the nature of program-induced geographic moves. 11.1 Effects on mobility and neighborhood quality Consistent with prior research, we find that voucher receipt leads to a significantly higher initial and long-term probability of changing residence, relative to the matched comparison group. Voucher receipt leads to some improvements in neighborhood quality in the long term, but appears to have little effect in the short term. Evaluated one year after initial receipt, voucher recipients exhibit no improvement on three of our four neighborhood quality indicators. However, observations made four years after initial receipt indicate gains on all four indicators of neighborhood quality for voucher recipients. These results are consistent with a scenario in which voucher recipients require some 31 time to learn about the new housing options available to them, but once recipients have evaluated the new options, they make decisions to reside in relatively better neighborhoods. 11.2 Labor market effects With respect to labor market effects, we found a negligible impact of voucher receipt on work effort (quarters worked per year) in the years immediately after voucher receipt, although after six years, voucher recipients recorded a statistically significant, but substantively small, gain in work effort relative to the matched comparison group. We also find that the early-year impact of voucher receipt on casehead earnings is negative (about 12 percent of mean casehead comparison group earnings). However, this negative earnings effect decreased over the five years after voucher receipt; by the end of the six-year observation period the earnings effects were not significantly different from zero. Our analysis reveals that single parent families experienced a greater initial loss of earnings than those without children or couples with children and that couples with children experienced a greater loss of earnings than households without children. Over time, however, single parents were able to take more advantage of employment opportunities and experienced a greater fade-out of the negative earnings effects. In our alternative analysis using public housing receipt as the counterfactual, we find that the overall labor market effects of Section 8 voucher receipt do not differ significantly from those of public housing in Wisconsin. Our primary results generally confirm earlier research that uses a similar counterfactual of no public housing assistance. Like previous experimental analyses that have a counterfactual of no receipt of housing assistance—such as WtW and the CHA experiment—our analysis finds voucher receipt to have a negative effect on casehead earnings. A careful nonexperimental study of the labor market effects of project-based assistance using a similar counterfactual (Newman, Holupka, and Harkness, 2009) found a similar pattern: statistically significant declines in earnings in the second and third year after movement into public housing relative to their matched comparisons who received no housing assistance, but no statistically significant differences in subsequent years. Similarly, the results of our secondary analysis— where public housing is specified as the counterfactual—are generally consistent with experimental 32 studies that have employed this counterfactual, specifically Gautreaux and MTO. The fact that the results of our two analyses, which draw on the same data source and employ similar analytical techniques but specify different counterfactuals, are consistent with the results of comparable experimental studies is illuminating. The alignment makes clear that the labor market impacts of a marginal expansion of the Section 8 voucher program depend on whether the counterfactual is assumed to be receipt of public housing assistance or receipt of no housing assistance. This finding goes some way toward reconciling the discrepant experimental results regarding the effect of voucher receipt on employment and earnings. It also provides some indication of the mechanisms that may be at work. Specifically, the results suggest that the location change spurred by voucher receipt has little effect on earnings or employment; both MTO and our analysis that specifies public housing as the counterfactual find no effect while the Gautreaux experiment finds a small positive effect. The results of our primary analysis, along with the WtW and CHA experiments and the study by Newman, Holupka, and Harkness (2009), indicate that the increase in household income and the marginal tax rate that accompany voucher receipt exert a substantial negative impact on recipient casehead earnings, and this effect initially overwhelms any positive labor market outcomes stemming from location change. 33 11.3 Effects on household composition Voucher receipt appears to generate household composition change in the year of receipt, but greater stability in subsequent years. The change that occurs in the initial year is mainly characterized by a reduction in the number of adult members of the household. For some, the voucher may allow recipients to leave unproductive relationships and to establish an independent household. For others, the voucher 33 This analysis may also provide insight into why the negative earnings effect of voucher receipt persists over the entire period of observation in the CHA experiment, but fades to insignificance in the WtW experiment. Our duration analysis suggests that cases remaining on voucher assistance exhibit a negative earnings pattern through the full period of voucher receipt while cases that go off assistance return to their pre-voucher earnings behavior. Data from HUD’s A Picture of Subsidized Households-2008 dataset indicate that the average duration of receipt for cases receiving their voucher from the Chicago Housing Authority is nearly nine years, which is much longer than the average duration of receipt in the six WtW sites. As a result, the differential results between the CHA and WtW studies may be attributable to recipients remaining on assistance for a much longer time period in Chicago, relative to cases in the WtW sample. 33 may entail leaving a parental residence and establishing their own living arrangement. Both of these changes suggest that voucher receipt improves overall well-being, reflecting the additional resources that come with voucher receipt. 11.5 Effects on child care usage We find that voucher recipient families with children less than 12 years of age exhibit a greater participation rate in state-subsidized child care programs than do matched comparison families who have not received a voucher, and a greater subsidy amount. Somewhat surprisingly, the voucher program does not seem to have resulted in an increased use of licensed (center–based) care. While this overall pattern also holds for families with a child less than age 5, it is only statistically significant for the overall use of childcare benefits. 34 Appendix A Detailed Matching and Estimation Procedures Obtaining a Comparison Group: A Propensity Score Matching Approach Propensity score matching procedures have been shown to be effective in minimizing potential bias due to nonrandom selection into treatment under several conditions that our procedure meets. 34 First, propensity score matching procedures work best when a large number of potential comparison cases are available, relative to the number of treatment cases. As described above, our estimation sample contains 12,170 voucher cases and over 342,000 potential comparison cases for a nearly 30:1 ratio of potential comparison to treatment cases. Few propensity score applications have had a more desirable distribution of treatment and potential comparison cases. Second, propensity score matching has been shown to achieve reliable results when treatment cases are matched to comparison cases that are demographically, geographically, and contextually similar. Our matching procedures contain variables measuring all these dimensions. Demographically, we include variables measuring race/ethnicity, age, sex, education, and several other characteristics. Geographically, all cases reside in Wisconsin and, in addition, we match on county of residence. Contextually, we match on approximately 20 census block group variables that measure important neighborhood characteristics. As a result, the treatment and matched comparison groups are statistically indistinguishable on these important dimensions. Third, propensity score matching is most effective when extensive baseline (pre-treatment) information on the outcomes to be studied is available for all of the cases. Our matching model contains casehead earnings and employment, neighborhood quality and household composition information for up to five years prior to voucher receipt. We include multiple variables measuring these dimensions in the model used to estimate each case’s propensity score. In addition, we include dozens of other variables that are likely to be predictive of Section 8 voucher receipt. As a result, there are no pretreatment differences between the treatment and matched comparison groups on the outcome measures. In sum, we believe that these characteristics provide an ideal setting for application of a propensity score matching procedure to estimate the behavioral effects of voucher receipt. Upon estimation of the model used to estimate the propensity score for each case, we turned our attention to identifying the specific matching strategy that we would use in our analysis. After considering the advantages and drawbacks of several matching strategies, we chose to employ a nearest neighbor matching strategy in our primary analysis. 35 This strategy matches each treatment case to one or more nonrecipient cases with the closest (or ideally identical) propensity scores. In the context of this analysis, each treatment case is matched to the nearest five nonrecipient cases. 36 We match with replacement, which means that each nonrecipient case can be matched to more than one treatment case. 34 See, for example, Heckman, Ichimura, and Todd (1997); Smith and Todd (2005); and Pirog, Bufardi, Chrisinger, Singh, and Briney (2009). 35 There are several matching strategies available in the propensity score literature—including “nearest neighbor,” “kernel,” and “local linear regression” methods. Discussions of various matching metrics and methods can be found in Mueser, Troske, and Gorislavsky (2007) and Smith and Todd (2005). We also estimated a kernel matching model and the results were almost identical to those shown here. Results of the estimation are available from the authors. 36 Nearest neighbor matches were also performed with each treatment case matched to the 1, 3, and 10 nearest neighbors. The results, which are available from the authors, did not differ substantively. 35 As the final step in the matching procedure, we used several metrics to evaluate the quality of the match. First, we conducted a balance test, which indicated that the matching procedure succeeded in eliminating pretreatment differences between the voucher and matched comparison groups on every covariate included in the model used to estimate the propensity score. Second, we compare the pretreatment behavioral effect trajectories for the treatment and matched comparison groups. Figure A1 compares the voucher and matched comparison group employment and earnings patterns during the fiveyear period immediately before potential receipt of a voucher. As seen there, employment and earnings patterns during the period prior to potential receipt (nonreceipt) of a voucher are virtually identical for the voucher and matched control group observations. Taken as a whole, these diagnostic procedures indicate that based on observed characteristics, the matching procedure succeeded in generating a comparison group that allows for unbiased and reliable estimates of the behavioral effects of Section 8 voucher receipt on casehead earnings and employment. 37 Difference-In-Differences Estimates Of The Effect Of Voucher Receipt On Casehead Earnings, Employment, Neighborhood Quality And Household Composition Using the balanced sample created through the propensity score matching procedure, we isolate the effect of voucher receipt on our behavioral effect variables using a difference-in-differences regression framework. Specifically, we estimate the following model: (1) where i and t index cases and the year of effect we are measuring with respect to voucher receipt, respectively; Y represents the outcome; α represents the intercept; V is a dummy variable indicating voucher receipt in the treatment year; R represents the calendar year; X is a vector of observed characteristics of the case and casehead; 38 A represents the year of effect relative to the treatment year; and C represents a case-level random effect. The model is estimated via generalized least squares (GLS), with random effects controls. For each year, the total estimated effect of voucher receipt on the relevant behavioral effect is equal to the sum of 1 and 5 . 37 We also performed balance tests for each of our subgroup matches. The results, which are available from the authors, show no statistically significant pre-receipt differences on any variable for any subgroup. 38 Specifically, the vector of observed characteristics includes the sex, race/ethnicity, age, marital status, and baseline earnings of the casehead as well as the presence of a disabled or elderly individual in the case and a measure of change in the composition of the case. 36 Figure A1. Mean Casehead Earnings and Quarters Worked: 1 to 5 Years Prior to Voucher Receipt Mean Casehead Earnings Prior to Voucher Receipt 4000 4500 Dollars 5000 5500 6000 by Receipt Status -5 -4 -3 Year Relative To Receipt Matched Comparisons -2 -1 Voucher Group Mean Casehead Quarters Worked Prior to Voucher Receipt 1 1.5 Quarters 2 2.5 3 by Receipt Status -5 -4 -3 Year Relative To Receipt Matched Comparisons -2 Voucher Group -1 37 Appendix B Effect of Voucher Receipt on Casehead Earnings and Employment by year, Full sample (Dollars): Public Housing Assistance Counterfactual Earnings Employment Year (Dollars) (Quarters worked) Year of receipt -137.50 (121.71) -0.006 (0.030) One year post receipt -89.84 (155.36) 0.015 (0.035) Two years post receipt 27.40 (177.78) 0.031 (0.036) Three years post receipt 62.91 (177.53) -0.013 (0.037) Four years post receipt -27.14 (233.38) -0.029 (0.045) Five years post receipt -395.64 -0.037 (362.59) (0.069) Note: Robust standard errors clustered by case in parentheses below point estimates. 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Cityscape: A Journal of Policy Development and Research 6, 45–72. 42 Tables and Figures Table 1a. Summary of Experimental Literature on Relationship between Housing Assistance Receipt and Labor Market Outcomes Study Comparison Groups Location and Timing Data and Methodology Effects on Employment or Earnings Gautreauxa Housing project residents who moved to suburbs; project residents who left the projects but remained in the city Chicago; 1976–1998 Experiment; possible internal validity concerns Movers to suburbs had higher earnings Moving to Opportunityb Housing project residents who moved to low-poverty neighborhoods; project residents who moved to any neighborhood; project residents who remained in project housing Housing assistance distributed to 4,600 families in 5 cities (Baltimore, Boston, Chicago, Los Angeles, and New York); 1994–1998 Participants were randomly assigned to a voucher that could only be used in areas with poverty rates below 10 percent, a voucher that could be used in any rental unit that accepted a Section 8 voucher, or a control group that remained in housing project No significant differences; study is not yet completed. However, Web appendices 7 and 8 of Kling, Liebman, and Katz (2007) show positive earnings impacts for younger adults who were required to move to lowpoverty neighborhoods. Welfare-to-Workc Welfare recipients or eligible recipients who received a housing voucher; welfare recipients or eligible recipients who did not receive a voucher 8,700 families in 6 cities (Atlanta, Augusta, Fresno, Houston, Los Angeles, and Spokane) assigned to treatment and control groups between spring 2000 and spring 2001 Random assignment to a housing voucher or to a control group that received no housing voucher through the program Voucher recipients initially worked and earned less, but the differences disappeared after 3.5 years; Study is not yet completed Chicago Housing Authority Experimentd Members of a housing assistance waiting list who were randomly selected to receive a housing voucher; wait-list members not selected to receive a housing voucher 82,600 households in Chicago in July 1997 were placed on a waiting list for Section 8 vouchers and assigned a position on the waiting list from 1997–2003 by random assignment Random assignment of households that applied for Section 8 to a housing voucher or to no housing voucher Voucher recipients worked and earned significantly less than those who did not receive a voucher over the full follow-up period a See Rosenbaum (1995); Popkin, Buron, Levy, and Cunningham (2000); Rosenbaum and DeLuca (2000); and Mendenhall, DeLuca, and Duncan (2006). See Goering, Feins, and Richardson (2002); Shroder (2002b); Goering (2003); Turney, Clampet-Lundquist, Edin, Kling, and Duncan (2006); and Kling, Liebman, and Katz (2007). c See Mills et al. (2006). d See Jacob and Ludwig (2006, 2008). b 43 Table 1b. Summary of Nonexperimental Literature on Relationship between Housing Assistance Receipt and Labor Market Outcomes Effects on Employment or Earnings Study Comparison Groups Location and Timing Data and Methodology Bania, Coulton, and Leete (2003) Welfare leavers receiving Section 8 vouchers and project-based housing; other welfare leavers Cleveland/Cuyahoga County; 1996 followed through 1997 Administrative data; Regression model No significant effect; no difference between voucher and project-based assistance recipients Susin (2005) Housing assistance recipients, both voucher and project-based; low-income nonrecipients Nationally representative sample; 1996 followed through 1999 SIPP combined with administrative data on housing assistance receipt; Propensity score matching Earnings of housing subsidy recipients reduced by about 15 percent; no difference between voucher and project-based assistance recipients Van Ryzin, Kaestner, and Main (2003) Welfare recipients receiving Section 8 vouchers; welfare recipients receiving project housing assistance; welfare recipients receiving no housing assistance New York City; 1995–1996 Local survey data; Logistic regression controlling for a variety of observed differences No significant effect on earnings of voucher recipients relative to those with no assistance Olsen, Tyler, King, and Carrillo (2005) Housing assistance recipients; housing project residents; lowincome households receiving no housing aid Nationally representative sample; 1995–2002 PSID combined with HUD data on recipients; Regression model with income ceiling imposed on comparison group Harkness and Newman (2006) Single mothers receiving projectbased housing assistance or vouchers; single mothers receiving no assistance Female-headed households who moved to project-based housing; matched (through propensity scoring) female-headed households who received no housing assistance National HUD data; 1996 and 2001 HUD data combined with CPS for comparison group; Simple comparison of univariate results with some focus on regression PSID combined with HUD data on project-based recipients; propensity score matching Earnings of housing subsidy recipients decline by $3,600 in first two years of program participation relative to those with no housing assistance No significant effect Newman, Holupka, and Harkness (2009) Nationally representative sample, 1970-1995. Housing assistance recipients were followed for 2 years before beginning assistance to 6 years after; the comparisons were followed in same years Earnings of households that moved into public housing were significantly lower than matched comparisons in the 2nd and 3rd years after public housing entry; no significant effect after that 44 Table 2. Demographic Characteristics for Those Who Receive Rental Subsidies and Those Who Do Not Receive Rental Subsidies: 2001–2003 Cohorts 2001 2002 2003 Do Not Do Not Do Not Receive Receive Receive Receive Receive Receive Rent Rent Rent Rent Rent Rent Characteristic Subsidy Subsidy Subsidy Subsidy Subsidy Subsidy Total Number of Cases 6,159 163,391 6,080 187,276 5,383 216,064 Sex Male Female 15.6 84.4 24.8 75.2 15.2 84.8 26.7 73.3 15.3 84.7 28.0 72.1 Age 18–30 31–45 46–59 60+ 42.9 29.9 12.6 14.2 37.9 36.0 13.5 12.1 47.0 30.2 12.3 10.3 38.4 36.1 14.2 10.8 48.0 28.3 14.0 9.4 39.1 35.8 14.9 9.7 Race White Black Hispanic Other race 59.3 29.0 3.3 8.5 48.2 36.2 6.2 9.4 58.7 28.5 3.7 9.2 48.9 35.6 6.3 9.2 60.4 26.9 3.1 9.6 50.9 34.5 6.3 8.4 Education Level No high school diploma High school diploma 35.4 64.6 39.7 60.3 34.1 65.9 37.9 62.1 33.2 66.8 36.3 63.7 Marital Status Single, never married Divorced or annulled Separated Married Widowed 50.5 20.4 11.3 10.7 7.0 50.2 17.9 10.7 15.1 6.0 52.0 21.4 11.2 10.3 5.1 51.4 17.7 10.4 15.3 5.2 52.0 21.7 11.0 10.7 4.6 52.7 17.5 9.8 15.5 4.5 County Urbanicity Rural Urban Milwaukee 28.0 45.9 26.1 21.6 31.0 47.4 26.9 51.8 21.3 21.6 32.0 46.4 30.6 51.3 18.1 22.2 33.7 44.1 Number of Children 0 1 2 3+ 39.8 25.6 19.1 15.5 44.9 21.2 16.5 17.4 36.1 27.6 19.6 16.8 45.9 21.3 16.3 16.4 35.9 27.2 20.1 16.9 48.1 21.1 15.6 15.2 45 Table 3. Effect of Voucher Receipt on Quarters Worked, by Demographic Subgroup: No Housing Assistance Counterfactual Subgroup Full Sample Family Composition Couple with child Single parent No child Year of Receipt One Year Post Two Years Post Three Years Post Four Years Post Five Years Post -0.02 (0.01) 0.01 (0.01) 0.01 (0.01) 0.02 (0.01) 0.02 (0.02) 0.04 (0.02) -0.07 (0.05) -0.02 (0.02) -0.05 (0.02) -0.04 (0.05) 0.02 (0.02) -0.07 (0.02) -0.02 (0.05) 0.01 (0.02) -0.07 (0.02) -0.05 (0.05) 0.01 (0.02) -0.05 (0.02) -0.02 (0.06) 0.02 (0.02) -0.03 (0.03) -0.04 (0.07) 0.06 (0.03) -0.03 (0.03) 46 Table 4. Effect of Voucher Receipt on Earnings, by Family status: No Housing Assistance Counterfactual Subgroup Full Sample Family Composition Couple with child Single parent No child Year Of Receipt One Year Post Two Years Post Three Years Post Four Years Post Five Years Post -647.02 (70.62) -558.33 (70.62) -412.54 (70.61) -309.42 (70.60) -221.99 (78.87) -97.49 (100.59) -783.98 (228.62) -833.12 (103.06) -333.34 (83.57) -723.78 (228.63) -672.05 (103.04) -367.85 (83.58) -355.62 (228.63) -583.85 (103.02) -387.91 (83.57) -321.97 (228.64) -519.66 (103.00) -300.14 (83.58) -544.31 (259.97) -309.06 (114.87) -247.56 (93.49) -422.93 (336.57) -147.04 (147.02) -179.89 (117.75) Note: Standard errors in parentheses below point estimates. Point estimates in bold are statistically significant at alpha = .10 level. 47 Table 5. Effect of voucher receipt on number of adults and children in the case-Full sample & subgroups Year of One year Two years Three Four Five years Case composition Receipt post post years post years post post Full Sample Number of adults -0.102*** -0.104*** -0.085*** -0.077*** -0.064*** -0.049*** (0.007) (0.007) (0.007) (0.007) (0.007) (0.009) Number of children -0.014** (0.007) -0.006 (0.008) Number of adults -0.140*** (0.010) -0.125*** (0.010) Number of children -0.021** (0.009) -0.019* (0.011) Number of adults -0.079*** (0.010) -0.083*** (0.011) Number of children 0.036*** (0.011) 0.040*** (0.013) Number of adults -0.052*** (0.012) -0.054*** (0.012) -0.016* (0.009) -0.008 (0.009) Number of children 0.014* 0.024*** (0.008) (0.009) Age 18-30 -0.087*** -0.077*** (0.010) (0.010) 0.004 (0.012) 0.014 (0.014) Age 31-54 -0.089*** -0.086*** (0.011) (0.012) 0.033** (0.014) 0.021 (0.014) Age 55+ -0.040*** -0.039*** (0.013) (0.013) -0.011 (0.010) -0.012 (0.008) 0.039*** (0.010) 0.053*** (0.013) -0.057*** (0.010) -0.045*** (0.012) 0.028* (0.014) 0.062 *** (0.019) -0.077*** (0.012) -0.064*** (0.016) 0.025* (0.015) 0.021 (0.019) -0.037*** (0.012) -0.050*** (0.014) -0.009 (0.009) -0.010 (0.011) Note: Standard errors in parentheses below point estimates. *p<.10, **p<.05, ***p<.01. 48 Table 6. Marginal effect of voucher receipt on case composition change-Full sample and subgroups Year of One year Two years Three Four Five years Case composition Receipt post post years post years post post Full Sample Add Adult -0.027*** -0.012*** 0.000 -0.001 0.005** 0.008*** (0.003) (0.003) (0.003) (0.003) (0.002) (0.003) Lose Adult 0.053** (0.004) -0.007** (0.003) Add Adult -0.046*** (0.005) -0.016*** (0.005) Lose Adult 0.069*** (0.006) -0.021*** (0.005) Add Adult -0.015*** (0.005) -0.007 (0.004) Lose Adult 0.038*** (0.006) Add Adult Lose Adult -0.014*** (0.003) -0.008** (0.003) -0.006** (0.003) 0.000 (0.004) 0.004 (0.004) 0.014*** (0.005) -0.010** (0.004) 0.002 (0.005) Age 31-54 -0.007 -0.001 (0.004) (0.004) 0.001 (0.004) 0.007 (0.004) 0.005 (0.006) 0.000 (0.005) -0.002 (0.005) 0.000 (0.005) -0.002 (0.006) -0.009* (0.005) -0.003 (0.004) Age 55+ 0.002 -0.001 (0.004) (0.003) 0.000 (0.003) -0.005*** (0.002) 0.027*** (0.007) 0.003 (0.006) -0.007 (0.005) -0.004 (0.004) -0.002 (0.005) Age 18-30 0.001 -0.005 (0.005) (0.004) -0.025*** (0.005) -0.012** (0.005) -0.001 (0.005) Note: Standard errors in parentheses below point estimates. *p<.10, **p<.05, ***p<.01. 49 Table 7. Regression results for effect of voucher receipt on child care use, subsidy amount, and licensed child care use for all cases with at least one child under age 12 in the year of receipt and each of the three following years Proportion/ Difference Standard p- value Mean of from error voucher matched recipients controls Year Child care use Year of voucher receipt 0.5029 0.0464 0.0063 0.000 One year post-receipt 0.4794 0.0603 0.0063 0.000 Two years post-receipt 0.4328 0.0615 0.0062 0.000 Three years post-receipt 0.3768 0.049 0.0061 0.000 Among users-Child care subsidy amount (dollars) Year of voucher receipt 7461.68 228.56 138.78 0.100 One year post-receipt 8127.90 435.37 132.71 0.001 Two years post-receipt 7253.96 313.84 126.16 0.013 Three years post-receipt 5965.73 341.76 122.87 0.005 Among users- Licensed child care use Year of voucher receipt 0.8234 0.0082 0.0102 0.420 One year post-receipt 0.8372 0.0080 0.0099 0.421 Two years post-receipt 0.8427 0.0026 0.0096 0.791 Three years post-receipt 0.8234 0.0056 0.0102 0.585 Note: Regressions used to estimate difference from matched controls for child care use and licensed care use included controls for the casehead's age, sex, years of education, marital status, race/ethnicity, number of children, number of case members, county of residence, and case composition changes. These results are not presented here, but are available from the authors. Regressions used to estimate difference from matched controls for subsidy amount included a control for child care use in addition to all of the variables listed above. 50 Table 8. Regression results for effect of voucher receipt on child care use, subsidy amount, and licensed child care use for all cases with at least one child under age 5 in the year of receipt and each of the three following years Year Proportion/ Mean of voucher recipients Difference From Matched controls Standard error P-value Child care use 0.5277 0.0495 0.0081 0.000 0.5402 0.0672 0.0082 0.000 0.5159 0.0716 0.0082 0.000 0.4681 0.0595 0.0082 0.000 Among users-Child care subsidy amount (dollars) 7387.55 58.96 161.18 0.715 Year of voucher receipt 8388.67 217.25 156.64 0.166 One year post-receipt Two 7560.85 47.13 148.15 0.750 years post-receipt 6407.96 212.57 143.85 0.140 Three years post-receipt Among users- Licensed child care use 0.8282 0.0157 0.0119 0.188 Year of voucher receipt 0.8402 0.0032 0.0116 0.784 One year post-receipt 0.8491 0.0060 0.0112 0.593 Two years post-receipt 0.8394 -0.0055 0.0115 0.634 Three years post-receipt Note: Regressions used to estimate difference from matched controls for child care use and licensed care use included controls for the casehead's age, sex, years of education, marital status, race/ethnicity, number of children, number of case members, county of residence, and case composition changes. These results are not presented here, but are available from the authors. Regressions used to estimate difference from matched controls for subsidy amount included a control for child care use in addition to all of the variables listed above. Year of voucher receipt One year post-receipt Two years post-receipt Three years post-receipt
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