Does Universal Child Care Matter? Evidence from a Large Expansion in Pre-School Education Christian Dustmann Anna Raute Uta Schönberg This Draft: October 22nd, 2012 Abstract This paper studies the effect of a German universal child care program (aimed at 3- to 6-year-olds) on the school readiness outcomes. We draw on unique administrative data for the entire population of children who are about to start school in one large region. Our identification strategy exploits a federal policy reform which entitles every child to a child care slot from her third birthday to school entry, leading to a staggered expansion in child care facilities across municipalities. We find that public child care attendance strongly and robustly reduces language and motor skill problems and improves overall school readiness for children of immigrant ancestry (i.e., children who themselves or whose parents were born outside Germany), but has no significant effects for children of native ancestry. We offer three explanations for these findings. First, non-linear returns to child care attendance may lead to higher overall effects for children of immigrant ancestry, as the reform increased attendance rates for these children at a different margin than for children of native ancestry. Second, the two groups of children differ with respect to the counterfactual care arrangements. Third, due to their lack of proficiency in the host country language, children of immigrant ancestry may benefit more from public child care and exposure to other children. Our findings suggest that universal child care programs help to narrow the achievement gap between children of immigrant and native ancestry, potentially reducing life-time inequalities between these two groups. Correspondence: Christian Dustmann, Department of Economics, University College London, Email: [email protected]; Anna Raute, Department of Economics, University College London, Email: [email protected]; Uta Schnberg, Department of Economics, University College London and Institute for Employment Research; Email: [email protected]. We are indebted to Dr. Johannes Dreesman and the Lower Saxonian Health Ministry (NLGA) for providing us with the data and their valuable data support. We thank the Norface programme on migration for financial support. 1 Introduction Pre-school and early childhood programmes are often thought to be an important and effective way to influence the development of children (see e.g. Ruhm and Waldfogel, 2011 and Almond and Currie, 2011 for excellent recent surveys). Not only is learning in early childhood particularly productive because of the long time to reap the rewards (Becker, 1964) and because many skills are best learnt when young (e.g. Shonkoff and Phillips, 2000), but there may also be important ”dynamic complementarities” of early learning with acquisition of human capital at later stages (Heckman, 2007 and Cunha and Heckman, 2007). To assess the benefits of early childhood programs, a large literature has focused on early intervention programs, such as Head Start or the Perry Preschool Project, that target specifically children from disadvantaged backgrounds and combine a variety of different services (see e.g. Blau and Currie, 2006, for a survey). This literature finds strong positive effects of these programs in the short-run, and conflicting evidence in the longer run.1 Less is known however about the benefits of universal child care programs targeted at all children. In this paper, we study the effects of such a program that is aimed at 3- to 6-year-olds for the case of Germany, where the quality of care is high, fairly homogenous and almost exclusively public. In contrast to the typical early intervention program, where learning is primarily academically oriented, learning in German public child care is mostly informal and play-oriented. A unique feature of the German school system is that all children have to undergo an extensive battery of school readiness tests, administered by pediatricians, before entering elementary school. This provides us with rare and detailed administrative data on a series of school readiness indicators, such as fine or gross motor skill problems or language deficits, for the entire population of children who are about to start school in one large region. These indicators are, as recent research shows (Grissmer et al., 2010), stronger predictors 1 According to The Head Start Impact Study, Head Start improved cognitive and non-cognitive achievement measures of its participants in the short-term which however quickly dissipate. Garces, Thomas and Currie (2002), however, find that participation in Head Start increases high school completion and college enrolment among whites. Deming (2009) finds large long-term gains of Head Start participation for disadvantaged children despite the fading-out of test score gains. Using a regression discontinuity design, Carneiro and Ginja (2012) show that participation in Head Start reduces the incidence of behavioral problems, serious health issues and obesity for adolescents and criminal activity among young adults. Re-evaluating the Perry Preschool Project, Heckman, Moon, Pinto, Savelyev and Yavitz (2010a,b) find strong positive effects of the program that last well into adulthood. 2 for later academic success than early cognitive test scores, which are typically used in the literature (see Section 2 for a review). An important additional advantage of our data is that our outcome variables are standardized assessments by health professionals as opposed to subjective assessments by parents commonly used in the literature. To deal with the non-random sorting of children into public child care, we make use of a federal policy reform which entitles every child to a largely subsidized 4-hour child care slot from her third birthday to school entry. In the region we study, this mandate lead to a staggered timing and intensity of the construction of child care facilities across municipalities—which is the variation we exploit in our instrumental variable estimation. An important contribution of our work is to contrast the effects of time spent in public child care for two groups of children: children of native ancestry, and children of immigrant ancestry, defined as children who themselves or whose parents were born outside Germany.2 Children of immigrant ancestry are more likely to come from a disadvantaged background than children of native ancestry, perform significantly worse at school than children of native ancestry (see e.g., Dustmann et al., 2012) and often do not speak German at home.3 We find very different effects for these two groups of children: Whereas public child care attendance strongly and robustly reduces language and motor skill problems and generally improves school readiness for immigrant children, it has no significant effects on school readiness outcomes for native children. We offer three explanations for these differential effects. First, they might be driven by non-linear returns to public child care attendance with respect to age or length of attendance. Prior to the expansion in child care facilities, the typical child of native ancestry entered public child care at the age of 4 and thus attended public child care for two years before starting school at the age of 6. For these children, the expansion in child care facilities therefore primarily increased the share of children who enrol in public child care at the age of 3 and thus attend public child care for three years. In contrast, 2 For simplicity, we also refer to the first group as ”native children” and to the second group as ”immigrant children”. See e.g. Casey and Dustmann (2008) who report significant language deficiencies for the largest traditional immigrant communities in Germany (i.e., Turkey, Spain, Italy, former Yugoslavia and Greece). 3 3 prior to the expansion in child care facilities, many children of immigrant ancestry attended public child care for only one year or not at all. For these children, the expansion in child care facilities therefore increased both the 1-, 2-, and 3-year attendance rate. At the same time, we find some suggestive evidence that for immigrant children the first and second year in public child care (when children are between 4 or 5 years old) improves proficiency in the host country language and overall school readiness by more than the third year in public child care (when children are 3 years old). Second, the larger benefits of public child care attendance for immigrant than native children may be explained by differences in the counterfactual child care arrangement. Our findings suggest that for children of immigrant ancestry public child care attendance primarily crowds out maternal care while for children of native ancestry it primarily replaces alternative child care like that by a child minder— which is likely to be more similar to public child care than maternal care, in particular with respect to the exposure to other children. Third, immigrant children are, due to a lack of proficiency in the host country language, likely to be particularly perceptive to the informal and play-oriented learning environment which public child care provides, especially if the counterfactual care arrangement is the home environment. Host country language proficiency has been shown to be an important determinant of success not only in elementary school (see e.g., Dustmann, Machin, and Schönberg, 2010, Bleakley and Chin, 2008) but also for other aspects of life (see e.g., Bleakley and Chin 2010 on social assimilation). The exposure to other children in public child care is likely to quickly reduce this deficit. As host country language proficiency may also be complementary to learning in general, it might lead to positive spillover effects, thus explaining the positive effects of child care attendance on other measures of early achievement. Our findings thus emphasize that the benefits of large scale, publicly provided child care programs are far from uniform. In our study, they are concentrated among a specific group of disadvantaged children, suggesting that universal child care programs are successful at narrowing the achievement gap between children of native and immigrant ancestry at school entry (and possibly beyond), and hence may help children of immigrant ancestry to assimilate into the host society. Our findings further 4 highlight that the welfare effects of universal child care programs crucially depend on which children the program draws into child care, which type of child care arrangement public child care replaces, and which margins of the child care attendance distribution (i.e., the one-, two-, or three-year attendance rates) are affected. The structure of the paper is as follows. In the next section, we briefly discuss the existing literature, and how our paper contributes to it. In Section 3.1, we illustrate the possible channels through which changes in child care supply may affect child outcomes. We then outline the German system of public child care and the child care reform that we analyze (Sections 3.2 and 3.3). In Section 4, we describe our data and provide a descriptive analysis on the differences in outcomes between children of immigrant and native ancestry and the potential selection into child care. We then discuss our identification strategy and investigate in detail the validity of the assumptions we impose (Section 5). We report results in Section 6 and conclude with a brief discussion of our results in Section 7. 2 Contribution to Existing Literature Our paper contributes to the small but growing literature on the evaluation of large scale, publicly provided universal child care programs (see Baker, 2011 for a comprehensive survey).4 Much of this literature has found that such programs have positive effects on children. For instance, Berlinski, Galiani and Gertler (2009) find positive effects of an expansion in pre-elementary education in Argentina on performance in elementary school. Similarly, Gormley and Gayer (2005) show a positive effect of a prekindergarten-program for 4—5 year-olds in the U.S. on cognitive, motor and language skills measured shortly after the program. There is also some evidence on longer term effects: Havnes and Mogstad (2011a) find that an expansion of subsidized child care for 3—6 year-olds in Norway had strong positive 4 Related research evaluates the effects of attending center-based care that is typically privately provided, with a large variance in quality. For instance, Loeb, Bridges, Bassok, Fuller, and Rumberger (2007) and Magnuson, Lahaie, and Waldfogel (2007) document a positive association between attending center-based care and short-run cognitive test scores, but a negative assocation between attending center-based care and bahavioral outcomes. To deal with the endogenous selection into center-based care, Bernal and Keane (2011) exploit exogenous variation in welfare policy rules, and find— contrary to the observational studies described above—that an additional year in child care reduces child test scores. 5 effects on long-run adult outcomes, such as educational attainment and labor market participation. Felfe, Nollenberger and Rodrı́guez-Planas (2012) analyze the introduction of high-quality universal child care for 3 year-olds across Spanish states and find improvements in children’s cognitive development at the age of 15. Berlinski, Galiani and Manacorda (2008) also report positive effects of a rapid expansion of pre-school child care facilities in Uruguay on completed education, while Cascio (2009a), exploiting variation in the introduction of Kindergarten programs for 5-year-olds into public schools across different states in the U.S., finds a decrease in high school drop-out rates and institutionalization rates as adults for white, but not for black children. Evidence of positive effects is not unequivocal, however: Baker, Gruber and Milligan (2008) study the introduction of highly-subsidized universal child care in Quebec and find negative short-run effects on behavioral and health outcomes, while Datta Gupta and Simonsen (2010) show that enrollment in pre-school in Denmark does not improve child outcomes at the age of seven. We add to this literature by focusing on a particularly interesting group of children for which the benefits of public child care may be high: children of immigrant ancestry who themselves or whose parents were born outside Germany. While several studies analyze the differential effects of universal or targeted child care programs for disadvantaged and advantaged children or across racial and ethnic groups5 , children of immigrant ancestry—who often do not speak the language of the host country at home—have received relatively little attention, despite their growing share in the population.6 We further contribute to the literature by investigating possible non-linearities of the effects of child care attendance with respect to years or age of attendance. The few studies that have investigated this issue have reached conflicting conclusions. While Berlinski, Galiani and Manocorda (2008) find that a 5 For instance, Havnes and Mogstad (2011a) find larger long-term benefits of public child care attendance for children of low-educated parents. Gormley and Gayer (2005) show that Hispanics experienced the biggest effects on cognitive, motor skills and language scores followed by blacks, whereas the effects for whites were mostly small and statistically insignificant. Evaluating an intervention program targeted at disadvantaged children (Head Start), Currie and Thomas (1995, 1999) show that Hispanic and white children benefit more from the program with respect to schooling outcomes than black children. 6 Studies which specifically report findings for immigrant children include Magnuson, Lahaie and Waldfogel (2006) who show that participation in head start is associated with higher gains for children of low educated immigrant mothers than for children of low-educated non-immigrant mothers, and Gayer (2008) who finds that a pre-kindergarten program in the U.S. improved pre-reading, pre-writing, and pre-math skills in particular for Hispanic children whose parents speak Spanish at home or whose parents were born in Mexico. Drange and Telle (2010) report that the introduction of a free pre-school program for five-year-olds in Oslo improved test scores of immigrant girls. 6 preschool program in Uruguay positively affects school attainment primarily at the extensive margin, with small and statistically insignificant effects at the intensive margin, Behrman, Cheng and Todd (2004) report that a Bolivian Preschool program boosted child outcomes only for children with at least seven months of exposure, and find increasing marginal impacts with longer program attendance.7 We find suggestive evidence that for children of immigrant ancestry, the first and second year in child care reduces the language deficits and deferment by more than the third year in child care. Finally, one channel through which an expansion in child care facilities may affect children is through a change in maternal labor supply. Most studies, including Baker, Gruber and Milligan (2008) for Canada, Havnes and Mogstad (2011b) for Norway and Berlinski and Galiani (2007) for Argentina, find that increases in the supply of child care places have much smaller effects on maternal labor supply than on child care utilization.8 In line with this literature, we show that the expansion in child care facilities had little effect on the labor supply of mothers of both native and immigrant children. Hence, in our setting, the effect of child care attendance on child outcomes through an increase in maternal labor supply is small for both groups of children. 3 Background 3.1 Child Care and Child Development: Channels The following discussion illustrates the channels through which public child care attendance may affect child outcomes. For simplicity, we distinguish two age periods only; period 1 corresponds to the years when the child is 3 or 4 years old, while period 2 corresponds to years when the child is 5 or 6 years 7 Loeb, Bridges, Bassok, Fuller and Rumberger (2007) find the greatest association of center-based care with reading and maths scores for children who start at age 2 or 3 rather than at younger or older ages and negative effects on behavior to be greater the younger the starting age. 8 In a similar vein, Gathmann and Saß (2012) find that a subsidy given to parents who do not enrol their child in formal child care lead to a much larger reduction in child care attendance rates than in maternal employment rates. González (2012), in contrast, finds that a universal child benefit reform lead to an increase in maternal time at home as well as a decrease in day-care utilization during the first year after birth. Gelbach (2002), using age of school entry cut-off rules, finds sizeable effects of child care availability on the labor supply of married women, and particularly for single women without younger children - a result that is similar to Cascio (2009b) who finds that the introduction of Kindergarten programs for 5-year-olds lead to sizeable employment responses for single mothers. See Blau and Currie (2006) for a comprehensive survey. 7 old. In each period, parents can make four types of investment into their child: time investments by the parents themselves, time investments by alternative care givers such as child minders or grandparents, time investments in public child care, and monetary investments such as toys or books. Suppose that initially, public child care is rationed (as it was the case in Germany in the early 1990s). Parents optimally choose investments by maximizing a combination of their own and their child’s utility (which is a function of the child’s achievement), subject to a time and budget constraint, as well as subject to the slot constraint in public child care. Now suppose that the government expands public child care for children in period 2 (i.e., when children are 5 or 6 years old). Consider a child who was not offered a public child care slot in period 2 in the absence of the expansion, but now is. Panel A of Figure 1 illustrates the channels through which child care attendance in period 2 may affect child development at the end of period 2. First, public child care attendance may directly reduce time investments by the mother as well as by alternative care givers.9 Public child care attendance may also lower monetary investments if public child care attendance is costly. Second, child care attendance may increase maternal labor supply, as it frees up some of the mother’s time. This in turn may further decrease time investments by the mother, but may increase time investments by alternative care givers as well as monetary investments through an increase in household income. These arguments highlight that the impact of public child care attendance on child development depends on the extent to which public child care replaces care by parents as opposed to care by others, and whether child care attendance is accompanied by an increase in the mother’s labor supply and income. To ease the interpretation of our estimates, we shed some light on these issues in Section 6.6. Next, suppose that the government expands public child care also for children in period 1 (i.e., when children are between 3 and 4 years old). Consider a child who was not able to attend public child care in period 1 in the absence of the expansion, but now is able to do so. Panel B of Figure 1 illustrates the dynamic effects which child care attendance in period 1 may have on child development 9 Here, it is important to emphasize that one additional hour in public child care does not necessarily reduce time investments by the mother or by alternative care givers by the same amount. For instance, the mother may use the time the child spends in child care to do much of the household work and hence not reduce the active time she plays with the child; see e.g. Felfe and Lalive (2011) for empirical evidence along these lines. 8 at the end of period 2. First, child care attendance in period 1 will affect the child’s achievement at the end of period 1—which, as discussed above, depends on the relative marginal returns of the different types of investments, and the extent to which public child care attendance crowds out or complements these investments. Note that the effect of child care attendance in period 1 on child achievement in that period may differ from that in period 2, most notably because the relative marginal returns of the different types of investments may differ by the child’s age when she starts child care. In particular, the psychology literature emphasizes that child care attendance may be more beneficial for older children, as for young children the exposure to multiple care givers may lead to behavioral anomalies and difficulties in social relations with others (e.g. Belsky, 1988; Belsky and Eggeben, 1991; Bowlby, 1969). In addition, investments in public child care in period 1 may affect the marginal returns to investments in period 2, leading to dynamic effects. These dynamic effects are in principle ambiguous. On the one hand, as emphasized for instance by Cunha and Heckman (2007), a higher stock of skills at the end of period 1 may increase the marginal return to investments in period 2, which in turn may induce parents to increase their investments in period 2. Such dynamic complementarities in the form of ”skills beget skills” imply that investments in public child care are more productive in period 1 than in period 2. On the other hand, the return to investments in public child care may be decreasing in the number of years the child has already spent in child care, so that the third and fourth year in child care is less productive than the first or second year in child care. Since child care is an absorbing state (i.e., once the child enters child care, she typically stays in child care until entering elementary school), it is impossible to disentangle such dynamic effects from heterogeneous effects of child care attendance by age. We discuss these dynamic or heterogeneous effects in Section 6.5. 3.2 Child Care Provision in Germany In Germany, formal child care provision of children aged between 3 and 6 is mostly public.10 Child care provision is further characterized by strict country-wide quality standards: in all child care institutions, 10 For instance, in 2007 only 21 out of the 4264 institutions were private in the region we consider. 9 the teacher-child ratio must not exceed 2 teachers for 25 children. Moreover, teachers must have completed a three-year vocational programme, and are certified by the state. Further regulations exist regarding the space provided by the institution for each child. As a consequence, the quality of child care is relatively homogeneous. The majority of children in Germany (i.e., more than 90%11 ) attend child care part-time, for 4 hours in the morning. In terms of educational content, Germany follows the social pedagogy tradition according to which learning is mostly informal and play-oriented. While children engage in specific activities depending on their age, such as circle time, painting, messy play, and physical education classes, the development of social, language and physical skills is mostly carried out in the context of day-to-day social interactions between children and teachers. In Germany, public child care provision is highly subsidized, with parental fees covering only about 10% of the overall child care costs.12 By the early 1990s, the heavy subsidization lead to a severe rationing of child care slots, as reflected by the long waiting lists. Rationing was most severe for 3-year old children and children of non-employed mothers, as the age of the child and the employment status of the mother were the key admission criteria. To eliminate rationing, the federal government introduced in August 1992 a mandate which, by January 1st 1996, entitled every child to a subsidized 4-hour child care slot from her third birthday until school entry. This lead to a rapid expansion in child care facilities across (West) Germany. The construction and financing13 of the additional child care slots needed was the responsibility of the municipalities. 3.3 Expansion in Child Care Facilities In the following, we describe how the federal mandate affected the child care attendance rates of children of native and immigrant ancestry in the particular region we consider in our empirical analysis (i.e., 11 The calculation is based on data from the Statistical report on child care institutions from the Lower-Saxonian Statistical office (Niedersächsisches Landesamt fuer Statistik, 2004, p. 19). 12 A typical fee paid by parents is, depending on the parent’s income, between 54 and 129 Euros per month for a 4-hour slot in 2006. 13 Municipalities received a subsidy of roughly 25% of the overall construction costs from the state. The regions also contributed to the construction costs. Additionally, 20% of personal expenditure is subsidized by the state. 10 the region for which we have access to the school entry examinations). This region, the Weser-Ems region, is part of the state of Lower-Saxony, and shares a border with the Netherlands. It is mostly rural; the largest cities are Osnabrueck (around 270,000 inhabitants), Oldenburg (around 160,000 inhabitants), Wilhelmshaven (around 80,000 inhabitants), and Emden (around 50,000 inhabitants). The region consists of 139 municipalities, with an average population size of 17,825.14 In 2004 the region counted 2,473,998 inhabitants in total. In this region, the construction of child care slots imposed too strong constraints on municipalities so that providing a child care slot to every 3-year-old by January 1996 was not realizable. The state government of Lower Saxony therefore allowed for exceptions from the universal legal claim to a child care slot until December 31, 1998. This lead to a staggered timing and intensity of the construction of child care slots across municipalities—which we will exploit in our empirical analysis. Overall, between 1994 and 2002 more than 14,600 new child care slots for children aged between 3 and 6 were constructed in the region we consider, increasing the ratio between the number of available child care slots and the number of children aged 3 to 6 from 62% to 78%.15 We provide more details in Figure 2 where we plot the average number of years children spent in public child care by birth cohort, separately for immigrant and native children, for our estimation sample (see Section 4 for a data description). Prior to the expansion in child care facilities, children of native ancestry spent on average 0.7 more years in public child care than children of immigrant ancestry (i.e., 2.12 years vs 1.43 years for the 1988 birth cohort). For native children, average attendance is approximately 0.3 years higher for the 1998 birth cohort which fully benefited from the expansion in child care facilities than for the 1988 birth cohort which was not affected by the expansion. The increase in the number of years in child care between the 1988 and 1998 birth cohort was considerably larger for immigrant than for native children (0.7 years vs 0.3 years), but even for the 1998 birth cohort their average attendance lacks behind that of native children (2.48 vs 2.15 years for the 1998 birth cohort). 14 Calculations based data on total number of inhabitants in 2006 provided by the Lower-Saxonian Statistical Office. Calculations based on data from the Statistical reports on child care institutions and population from the LowerSaxonian Statistical Office (1994 and 2004). 15 11 In Figure 3, we break down the average number of years in child care into the share of children who do not attend child care at all, and who attend child care for 1, 2 or 3 years. For children of native ancestry, the increase in average attendance is primarily driven by an increase in the 3-year attendance rate, which increased from 34% for children born in 1988 to about 56% for children born in 1998. The increase in the 3-year attendance rate was accompanied by a decrease in predominantly the 2-year attendance rate, although the 1-year attendance rate also slightly declined. This reflects that for native children, the share of children attending child care for at least one or at least two years was already high before the expansion in child care slots (95% and 81%, respectively for the 1988 birth cohort), suggesting that for these children, the rationing of child care slots mostly affected 3-year-old children, and not 4- and 5-year-old children. The picture for children of immigrant ancestry is different. Similar to children of native ancestry, the 3-year attendance rate is markedly higher for children born in 1998 than for children born in 1988 (44% versus 18%). In contrast to native children, the increase in the 3-year attendance rate was accompanied by a decrease in both the 2-year, 1-year, and the non-attendance rate. This reflects that before the expansion in child care slots, the share of children attending child care for at least one or at least two years was markedly lower for immigrant than for native children (78% vs 95% and 45% vs 81%, respectively, for the 1988 birth cohort). One explanation for the strong increase in the 1- and 2-year attendance rates for immigrant children is that, due to the lower employment rates of their mothers (see also Table 10), 4- and 5-year-old immigrant children were more affected by the rationing of child care slots than 4- and 5-year-old native children. An alternative explanation is that the federal mandate increased awareness among immigrant parents (relative to native parents) about the availability of highly subsidized public child care and also improved the knowledge about the process of how to apply for child care places. 12 4 Data and Descriptive Evidence 4.1 School Entrance Examination A unique feature of the German school system is that all children undergo a compulsory school entry examination before starting elementary school. The main purpose of the examination is to assess children’s school readiness. The examination typically takes place in the nearby elementary school of the child’s municipality of residence in the months between February and June before school entry in August, lasts about 45 minutes, is conducted by government pediatricians, and includes a battery of tests of gross and fine motor skills as well as an assessment of the child’s speech development. Our empirical analysis draws on administrative data reporting results of these examinations for one large region in West Germany (the Weser-Ems region; see Section 3.3 for a brief description of this region) for the years 1994 to 2006. We focus on four test outcomes: Language or speech difficulties for children of native ancestry and proficiency in the host country language for children of immigrant ancestry; fine motor skill problems; gross motor skill problems; as well as an overall measure for school readiness. Similar indicators are commonly used to assess the child’s school readiness in the U.S.16 , and have been found to be strong predictors of later academic success (e.g. Duncan et al., 2007; Grissmer et al., 2010 and Pagani et al., 2010). In particular motor skills are influential for cognitive development early on (e.g. Pagani and Messier, 2012) and research suggests that they are a stronger overall predictor for later test scores than even early reading or math test scores (Grissmer et al., 2010). An important further advantage of our data is that our outcome variables are standardized assessments by health professionals as opposed to subjective assessments by parents, which may be subject to a number of sources of bias.17 Language and speech difficulties are identified in our data through the conversation between the pediatrician and the child during the examination, as well as through three tests where the child is 16 The National Education Goals Panel in US defines school readiness by physical well-being and motor development; social and emotional development; approaches towards learning; language development; and cognition (National Education Goals Panel, 1995). Many of these are measured in the school entry examinations. 17 In an appendix, Baker, Gruber and Milligan (2008) provide a detailed discussion on this issue. 13 asked to articulate words correctly, to describe a picture, and to repeat sentences. Since these elaborate tests are often conducted only among native speakers, we use this outcome only for native children. The outcome we use for immigrant children instead is an indicator whether the pediatrician recommends German training because the child’s German and speech comprehension is insufficient. The diagnosis of fine motor skills problems is based on drawing tasks (e.g. drawing of shapes, such as triangles or crosses, or of a person) testing finger dexterity, as well as on tasks testing the hand-eye coordination and diadochokinesia (the capacity to bring a limb alternately into opposite positions), for example by asking the child to demonstrate the movement of trying a door knob or screwing in a light bulb and performing the finger-thumb-test, in which the child touches each finger of one hand to the thumb of the same hand in an alternating pattern. Tests that check for gross motor skill and coordination problems include standing on one leg for at least 10 seconds without shaking and holding on to something, jumping on one leg, astride and scissor jumps, hopping to the side, balancing on a line, and exercises with a ball.18 Based on all tests the pediatrician gives a recommendation to parents and the elementary school whether to hold the child back from immediate school attendance. This outcome may thus be seen as an assessment on the overall school readiness of the child. It is an interesting outcome variable also because deferment from school entry may lower lifetime earnings, due to delayed entry into the labor market.19 In addition to test outcomes, our data include information on the number of years the child spent in public child care. Other than migration background, parental background characteristics are included in our data only from 2002 onwards. We merge to this data source the number of inhabitants, social welfare recipients and unemployed in the municipality, obtained from the statistical office in Lower Saxony, as well as characteristics of the local labor market in the municipality (such as the median wage or the share of university graduates in the workforce), obtained from Social Security Records. 18 In our data, motor skill problems and language and speech difficulties take four values depending on the severity of the anormality. As very severe levels are a rare outcome and the multi-valued outcome variable is lacking a meaningful cardinal scale (see Cunha and Heckman, 2008), we have transformed variables into binary outcome variables. 19 Deming and Dynarski (2008) find that in the U.S. ”red-shirting”, i.e. the delayed entry into first grade or Kindergarten, reduces educational attainment and lifetime earnings. 14 4.2 Sample and Test Outcomes From this data base, we select school entry cohorts who were most affected by the expansion in child care slots, which are children examined between 1994 to 200220 . We restrict the sample to children born between January and June. We impose this restriction because children born between July and December may opt to start school one year earlier than implied by the age of school entry cut-off rule (which foresees that every child that turns 6 before the 30th of June enters elementary school in the fall of the respective year, whereas every child that turns 6 after that cut off enters elementary school in the following year). As a consequence, some children born between July and December are examined in the year they turn 6, while others are examined in the year they turn 7. In contrast, all children born between January and June are examined in the year they turn 6.21 In addition, we exclude 21 municipalities which, due to IT problems, provided the data only partially. Our baseline sample consists of 118 municipalities. Table 1 provides a first overview of our sample and outcome variables, separately for children of native and immigrant ancestry. Overall, our sample consists of about 78,000 native children and about 10,000 immigrant children, although the number of observations slightly varies according to the outcome variables. Children from the former Soviet Union form the largest immigrant group, making up more than 40% of immigrant children in our sample. Most of these children are ethnic Germans and their parents arrived in Germany predominantly in the early 1990s, starting in the late 1980s, after the breakdown of the communist regimes in Eastern Europe. Children of Turkish descend form the second largest immigrant group, making up roughly one quarter of immigrant children in our sample. The Turkish arrived in Germany predominantly in the 1960s and 1970s. Hence, the parents of children of Turkish descend have resided in Germany much longer than the parents of the children who arrived from the former Soviet Union, but nevertheless often do not use German at home (see footnote 3 for evidence). 20 The 2002 examination cohort was 3 years old in 1999, which is the first year, when the legal claim was fully binding. Including children born between July and December, and controlling for age at test in a flexible manner, has little impact on our results. 21 15 Developmental delays are common in our sample. 22.2% of native children show language and speech difficulties, and pediatricians recommend German language training to more than one third of immigrant children. While fine and gross motor skill problems are equally common among native and immigrant children (roughly 17% of children experience some problems), recommendations for deferment from immediate school entry are almost twice as likely for immigrant than for native children (12.7% versus 22.6%). In the last row, we compute a summary measure that is equal to 1 if the child either has some fine or gross motor skill problems or shows some speech or language difficulties (native children) or is recommended for German training (immigrant children). Overall, 38.7% of native children and 46.4% of immigrant children experience any kind of problem, indicating that the different outcome measures are not perfectly correlated. With the exception of German training for immigrant children, developmental problems are more pronounced for boys than for girls for both native and immigrant children.22 4.3 Parental Background and Child Care Attendance Table 2 provides additional information about child care attendance and parental characteristics of the two groups of children. Since parental background characteristics are included in our data only from 2002 onwards, numbers refer to the years 2002 to 2006 and hence after the expansion in child care facilities. On average, children of immigrant ancestry children come from a more disadvantaged background than children of native ancestry: Mothers and fathers of immigrant children are less educated, younger, have more children, and are less likely to work than mothers and fathers of native children. For native children, there is a strong positive selection into child care attendance in terms of observable parental background characteristics, in particular with respect to parental education: While the share of mothers and fathers with no post-secondary education is 16.7% and 6.0%, respectively, for children who do attend child care for one year only, it is only 5.6% and 2.5%, respectively, for children who attend child care for three years or more. Similarly, while only 7.3% and 12.6% of mothers and fathers of children who attend child care for one year only have some tertiary education, the share is 18.7% and 29.5% for 22 Deming and Dynarski (2008) also find for the U.S. that red-shirting is more common for boys than for girls. 16 mothers and fathers of children who spend three years or more in child care. Interestingly, selection into child care, in particular with respect to parental education, is much less pronounced for immigrant children. For instance, the share of mothers and fathers with some tertiary education of children who attend child care for one year is 12.5% and 13.9%, respectively, compared to 14.6% and 17.6% for mothers and fathers of children who spend three years or more in child care. This will be important for the interpretation of our results below. 5 Identification Strategy Next, we describe our identification strategy to obtain causal estimates of the impact of child care attendance on child outcomes. 5.1 Baseline Estimates Consider a linear causal model that links outcomes of child i in municipality m and school examination cohort t (Yimt ) to the number of years the child has spent in child care (Careimt ), and allows the impact of child care attendance on child development to differ for the two groups of children (which we we index by subscript g) : ′ g Yimt = ag0 + ag1 Careimt + Ximt ag2 + fm + γ gt + A′imt β g2 + uimt . (1) g Here, Ximt is a vector of observed child characteristics,23 fm and γ gt denote municipality and school examination cohort fixed effects, A′imt is a vector of unobserved (to the econometrician) factors that may affect child outcomes and child care attendance alike, and uimt is an i.i.d. error term. The coefficient of interest is ag1 , which captures the impact of one additional year spent in public child care on child outcomes. Note that this specification restricts the impact of child care attendance to be linear in child care duration. This does not only rule out that the impact of public child care on child development varies by age, but also ignores possible dynamic effects. We relax this assumption in the next section. 23 We control for gender, age at examination, month of birth dummies, and (for immigrants) ethnic group. 17 The problem with estimating this regression by OLS is the potential selection of children into child care based on unobservable characteristics A′imt , leading to a potential bias in our estimates. From Table 2, we expect, due to the strong positive selection into child care, the OLS estimates to be upward biased for native children. The bias is likely to be smaller for children of immigrant ancestry for whom the positive selection into child care is much less pronounced than for children of immigrant ancestry. To obtain plausibly causal estimates, we exploit the staggered timing and intensity of the construction of child care slots across municipalities, induced by the federal mandate which entitles every child to a 4-hour child care slot from her third birthday up to school entry. We implement our estimator as an instrumental variable estimator, where we instrument individual-specific child care attendance Careimt in equation (1) with the aggregate child care attendance rate for children in municipality m who are examined in year t, which we compute separately for children of immigrant and native ancestry: ¯ gmt .24 Thus, compared to OLS estimation, IV estimation discards all child-specific variation in child Care care attendance within municipalities and cohorts—which is likely to be driven by endogenous selection into child care—, and exploits only variation in the aggregate child care attendance rate of native and immigrant children within municipalities across cohorts—which, due to the severe rationing of child care slots at the beginning of our sample period, is likely to be driven by the construction of new child care places induced by the federal policy reform that differed in intensity and timing across municipalities. We discuss the key identification assumptions in detail in Section 5.3. We compute aggregate attendance rates separately for children of immigrant and native ancestry because, due to the lower initial attendance rates of the former, these children benefited from the expansion in child care slots more than children of native ancestry (see Section 3.2 and Figures 1 and 2). Consequently, the aggregate attendance rates at the municipality-cohort level of immigrant and native children, conditional on child characteristics as well as municipality and cohort fixed effects, are with a correlation coefficient of 0.12 only weakly correlated. 24 Alternatively, we could use the full set of interactions between municipality and school entry cohort effects as an instrument for individual child care attendance. In practice, this yields very similar results to those reported here. Moffitt (1996a, 1996b) points out that in the absence of covariates, this IV strategy is formally equivalent to OLS estimation on data aggregated up to the municipality and school entry cohort level. 18 In order to increase the number of children per municipality and school examination cohort, and since children are most likely to compete for child care slots with other children in their school entry cohort, we compute aggregate attendance rates for the whole sample (i.e. all children who are examined in year t), although our estimation sample includes only children born between January and June only (see Section 4).25 For native children, the average and median numbers of children per municipality and year of school examination cohort are 374 and 231, compared to 100 and 53 for immigrant children. In order to make sure that our findings are not driven by very small municipalities, we exclude these in our robustness checks (see the first column in Tables 6a and 6b). Throughout the empirical analysis, we cluster standard errors at the municipality level to allow for an arbitrary auto-correlation of residuals within municipalities. We report first stage estimates of the impact of the aggregate attendance rate on the individual attendance rate, conditional on child characteristics as well as municipality and cohort fixed effects, in Panel A of Table 3. Since we compute aggregate child care attendance rates for all children, but restrict the estimation sample to children born between January and June, the first stage coefficient is slightly lower than 1 (0.954 for native children, and 0.920 for immigrant children). For both groups of children, the first stage is highly significant, with an F-statistic above 1000 for native children, and above 400 for immigrant children. For immigrant children, the aggregate attendance rate explains 3.9% of the total variation in individual child care attendance rates, compared to only 1.4% for native children. 5.2 Non-linear Returns to Public Child Care Attendance Equation (1) restricts the impact of child care attendance to be linear in child care duration and to be homogenous by age. Next, we relax this assumption. To keep the notion simple, we drop the superscript g. Let Y l − Y l−1 denote the marginal impact of attending child care for l instead of l − 1 years. Due to the near perfect correlation between the number of years spent in child care (l) and the age at which the child starts child care (since child care attendance is an absorbing state), Y l − Y l−1 also refers to the 25 Computing aggregate attendance rates based on our estimation sample has little impact on our findings. 19 impact of attending child care when the child is between 6 − l and 6 − l + 1 years old. The IV estimate of a1 in equation (1) may then be interpreted as a weighted average of these marginal effects (see also Løken, Mogstad, and Wiswall, 2012 and in particular Mogstad and Wiswall, 2011):26 plim âIV 1 = 5 (Y l − Y l−1 )wlIV , (2) l=1 wlIV = ˜¯ ) l , Care Cov(Dimt mt ˜ ¯ Cov(Careimt , Caremt ) l where Dimt is an indicator variable that is equal to 1 if the child spends at least l years in public child ˜¯ ¯ care (or started child care at the age 6 − l), and Care mt is the residual from a regression of Caremt on municipality and school examination cohort fixed effects and the same set of control variables as in equation (1). The weights sum up to 1 and, provided that the monotonicity assumption holds27 , are nonnegative. The IV estimator places more weight on the marginal effects at years of child care attendance (or at the age at which the child attends child care) that are most affected by the instrument.28 We estimate these weights and provide evidence on the possible non-linearity of returns to public child care attendance in Section 6.5. To do this, we replace in equation (1) the number of years the child has spent in child care (Careimt ) with three indicator variables that are equal to 1 if the child has spent at least 1, at least 2, or at least 3 years in child care (Care≥j imt , j = 1, 2, 3): Yimt = ag0 + 3 g g g ′ g ′ agj Care≥j imt + Ximt a2 + fm + γ t + Aimt β 2 + uimt . (3) j=1 The coefficients on these variables, agj , pick up the marginal impact of one additional year in child care, when the child is 5, 4, or 3 years old, respectively. We then instrument these variables with the aggregate 26 Løken et al. (2012) use a generalized decomposition of the linear IV estimand, which was originally developed by Angrist and Imbens (1995) for the case of a binary instrument. 27 l ˜ ¯ mt ) ≥ 0 for all l. To ensure that all weights are non-negative, we require Cov(Dimt , Care 28 The OLS estimator may also be interpreted as a weighted average of the marginal effects, where the weights equal: wlOLS = l ˜ imt ) , Care Cov(Dimt ˜ imt ) Cov(Careimt , Care ˜ imt is the residual from a regression of Careimt on the same set of control variables as above. Here, Care 20 share of immigrant and native children in the municipality and school examination cohort who spend ¯ ≥j,g at least 1, 2, or 3 years in child care (Care mt , j = 1, 2, 3). We report the first stage estimates in Panel B of Table 3. For both groups of children, all three first stages are highly significant, with an F-statistic between 328 and 400 for native children, and above 120 for immigrant children; aggregate attendance rates explain between 1.2-1.5% and 3.6-4.4%, respectively, of the total variation in individual child care attendance rates. 5.3 Identifying Assumptions Our baseline linear IV estimates (equation (1)) identify the causal impact of child care attendance on child development if the native- and immigrant-specific aggregate child care attendance rate in the g ¯ mt , is uncorrelated with the unobserved child characmunicipality and school examination cohort, Care teristics, Aimt , conditional on observable child characteristics, Ximt , as well as municipality and school g and γ gt . In the non-linear specification (equation (2)), we require examination cohort fixed effects, fm the slightly stronger assumption that the share of native and immigrant children in the municipality and school examination cohort who attend child care for at least 1, 2, or 3 years be uncorrelated with the unobserved child characteristics Aimt , conditional on observable child characteristics, Ximt , as well as municipality and school examination cohort fixed effects. Changes in Composition The first reason why these assumptions might be violated is that the variation in the aggregate child care attendance rate across school examination cohorts within municipalities is driven by changes in the composition of children and their parents, and not by the expansion in child care slots. This could be because of moves of children or their parents to the municipality. Among native children, moves to the municipality are rare: only 3.08% of children have moved to the municipality (either from abroad or another municipality) over the last 2 years. Among children of immigrant ancestry, in contrast, 12.92% did not live in the same municipality 2 years earlier. For 70% of these, the reason is that they arrived from abroad. The share of new arrivals is particularly high for children from the former Soviet Union (19.28%), while new arrivals among Turkish children 21 is only slightly higher than that among native children (4.72%). In our robustness checks in Section 6.2, we first drop from our sample all municipalities that between 1994 and 2002 experienced an inflow of immigrants into the workforce above the median, as well as all municipalities where the share of immigrant children increases by at least 5 percentage points between two school examination cohorts (see columns (2) to (4) of Tables 6a and 6b). As a further robustness check, we also report in Section 6.4 results separately for children of immigrant ancestry from Turkey and the Soviet Union (see Panel B of Table 8).29 Exogenous Expansion in Child Care Facilities Our identification strategy would further be violated if regions which differ with respect to the intensity and timing of the expansion in child care facilities experience different time trends with respect to child development. Note that unlike most of the existing literature, which exploits variation in the expansion of child care facilities across broadly defined local labor markets, we exploit regional variation at a much finer local level, within one large local labor market (see Section 3.3 for statistics on the size of the region). The common time trend assumption therefore is more plausible in our study than in many existing studies. Nevertheless, even in our study the intensity and timing of the expansion in child care slots could be non-random and driven by events specific to the municipality that themselves have a direct impact on child outcomes. In order to get a first idea which municipalities in our sample experienced an above average expansion in child care slots between 1994 and 2002, we regress in Table 4 the change in the aggregate child care attendance rate between 1994/95 and 2001/2002 on the initial child care attendance rate in 1994/95, separately for native (column (1)) and immigrant children (column (2)), as well as on a number of baseline municipality characteristics. By far the most important determinant of the increase in the native- and immigrant-specific aggregate child care attendance rate in a municipality 29 Alternatively, the plausibility of the assumption that changes in the aggregate child care attendance rate across school examination cohorts within municipalities are not driven by compositional changes could be assessed by regressing the native- and immigrant-specific aggregate child care attendance rates on parental characteristics, controlling for observable child characteristics, municipality and school examination cohort fixed effects. Our data includes parental characteristics only from 2002 onwards. For the period 2002 to 2006, we find no evidence for a correlation between observable child characteristics and aggregate child care attendance rates, conditional on municipality and cohort fixed effects. The results are available from the authors upon request. 22 is the initial attendance rate: An increase in the initial aggregate child care attendance rate in 1994/95 by one year reduces the increase in the average child care attendance rate between 1994/95 and 2001/02 by 0.285 years for native children and by 0.762 years for immigrant children. Interestingly, the baseline aggregate child care attendance rate for native children has a strong positive impact on the change in the aggregate child care attendance rate for immigrant children (a coefficient of 0.58), suggesting that a larger share of the newly created child care slots falls to immigrant children if the initial aggregate child care attendance rates of native children is higher and their demand for additional child care slots is thus lower. We do not observe a similar pattern for native children. Importantly, neither the median wage, the share of medium- and high-skilled individuals, the share of individuals on social benefits, nor the number of inhabitants or the share of immigrants in the workforce, help to predict the change in the aggregate attendance rate for native or immigrant children. Only one of the 14 variables we include, the unemployment rate in the regression for native children, has a statistically significant coefficient at the 5% level. In order to further investigate whether the timing and intensity of the construction of new child care slots is quasi-random, we regress in Tables A1a and A1b the native- and immigrant-specific aggregate child care attendance rate as well as the share of native and immigrant children who attend child care for at least 1, 2, or 3 years on the same municipality characteristics as in Table 4, while controlling for child characteristics, municipality and cohort fixed effects. The municipality characteristics refer to the year when the child is 5 and 2 years old, i.e. to 1 and 4 years before the school entry exam. Focusing first on the aggregate child care attendance rate in years (column (1)), all but one municipality characteristics (the number of inhabitants at age 5) are statistically insignificant for both immigrant and native children. Turning to the detailed attendance rates based on the share of children who attend child care for at least 1, 2, or 3 years, only 3 out of 39 municipality characteristics for native children, and 2 out of 39 municipality characteristics for immigrant children, help to statistically predict aggregate attendance rates. This supports our assumption that the size and the timing of the expansion in child care slots is unrelated to underlying trends in child outcomes. Nevertheless, to make sure that 23 our estimates reflect causal effects, we conduct a battery of robustness checks, such as controlling for observable municipality characteristics or allowing linear municipality-specific time trends. We describe the robustness checks in detail in Section 6.2 and report them in columns (5) to (8) in Tables 6a and 6b. Spillover Effects of the Expansion in Child Care Coverage A third reason why our identification strategy might be violated is that the expansion in child care slots lead to a deterioration in child care quality and hence did not only affect children who are pulled into child care because of the reform, but also children whose child care attendance is unaffected by the reform. This is discussed by Baker et al. (2008) as a possible reason for the large negative effects on child development of the introduction of subsidized universal child care in Quebec. Unlike in the Canadian setting, a sharp decline in quality seems unlikely in our case, since strict quality standards, like the teacher-child ratio and teacher qualifications, were in place throughout our observation period (see Section 3.2). Moreover, municipalities were given sufficient time to meet the mandate, precisely in order to avoid a large reduction in child care quality. If any deterioration in child care quality took place, we would expect the decline to be most pronounced in municipalities in which the construction of new child care slots happened particularly fast. As an additional robustness check, we therefore exclude all municipalities with a particularly large increase in the child care attendance rate between two school examination cohorts; see Panel A of Table 7 in Section 6.3. Another reason for spillover effects to children whose child care attendance is unchanged by the expansion in child care facilities are peer effects: Since the expansion increased child care attendance rates of immigrant children by more than that of native children, and primarily drew in 3-year olds into public child care (see Figures 2 and 3), native children in child care are exposed to more immigrant children as well as to younger children after than before the expansion, with possible consequences to their development. We investigate these peer effects in Panels B and C of Table 7 in Section 6.3. 24 6 Results 6.1 Public Child Care and Child Development: Baseline Results How does public child care attendance affect child development? We report our baseline results in Table 5, separately for native (Panel A) and immigrant children (Panel B). In each panel, we display OLS estimates based on equation (1) in the first row, and IV estimates where we instrument individual child care attendance with the native- and immigrant-specific aggregate child care attendance rate, ¯ gmt , in the second row. For native children, OLS estimates consistently indicate that public child Care care attendance improves child development: One additional year in child care lowers the probability of deferment by 5.1 percentage points, and reduces the probability of speech and language difficulties and fine and gross motor skill problems by 2.5, 2.9 and 2.4 percentage points, respectively. However, the positive impact of child care attendance on child development disappears if we exploit the staggered timing and intensity of the construction of child care slots across municipalities in the IV estimates in the second row. In fact, in contrast to the OLS estimates, the IV estimates indicate that one additional year in public child care may increase developmental problems—although the effects are imprecisely estimated and not statistically significant. In line with the evidence in Table 2, the difference between OLS and IV estimates points to a positive selection of native children into child care.30 For immigrant children, in contrast, OLS and IV estimates are similar in magnitude. This is once again consistent with the evidence in Table 2 which shows that the selection of immigrant children into child care is small in terms of observable family background characteristics. Both OLS and IV estimates consistently suggest that public child care attendance improves child outcomes. According to our baseline IV estimates, one additional year in child care reduces the probability of receiving German training by 14.1 percentage points, lowers the probability of fine and gross motor skill problems by 8.4 and 2.1 percentage points, and decreases the probability of deferment by 8.4 percentage points. Evaluated at the baseline, these effects are large and imply that a one-year increase in the child care attendance rate 30 Alternatively, the two estimators may place different weights on the marginal effects. However, our calculations show that OLS and IV weights are very similar (see Table 9, column (1)). The difference between the OLS and IV estimates in Table 5 are therefore largely due to a positive selection bias in the OLS estimates. 25 lowers the probability of receiving German training by 41.1 percent, reduces the probability of fine and gross motor skill problems by 51.7 and 14.8 percent, and decreases the probability of deferment by 37.2 percent. 6.2 Composition and Exogenous Expansion We report a number of robustness checks in Tables 6a (children of native ancestry) and 6b (children of immigrant ancestry). To make sure that our findings are not driven by small municipalities with few children, we drop in column (1) all municipality-school examination cohort cells with less than 100 native children (Table 6a) or less than 20 immigrant children (Table 6b). Results are similar to our baseline findings in Table 5. In columns (2) to (4), we investigate the assumption behind our IV estimates that the variation in the aggregate attendance rate, conditional on municipality and school examination cohort fixed effects, is not driven by variation in the parental composition of children. We first drop movers from our sample (column (2)), and then exclude all municipalities that experienced an inflow of immigrants (measured as the percentage point change in share of immigrants in the working population) between 1991 and 2002 above the median (column (3)), as well as municipalities in which the share of children of immigrant ancestry in the school entry examinations increases by at least 5 percentage points from one year to the next (column (4)). Our results are largely unchanged. In columns (5) to (8), we investigate the assumption behind our IV estimates that the intensity and timing of the construction of new child care slots was quasi-random. Results in column (5) correspond to our baseline specification, but we now add a wide array of time-varying municipality characteristics (the same ones as in Tables A1a and A1b) referring to 1 and 4 years before the school entry examination when children were 5 and 2 years old, respectively. The specification in column (6) allows for municipalityspecific linear time trends. In column (7), we allow for a fully flexible time trend with respect to the child care attendance rate in the baseline school examination cohort (the average group-specific aggregate child care attendance rate over 1994/1995), the key determinant for the construction of new 26 child care slots (see Table 4). In a similar spirit, in column (8) we allow for a fully flexible time trend with respect to observable municipality characteristics (the same ones listed in Table 4) in the base year. All specifications yield similar results: For native children, our findings point to a small negative and mostly insignificant effect of child care attendance on child development. For immigrant children, findings based on the robustness checks are close to our baseline estimates in Panel B of Table 5 and indicate that one additional year in child care significantly reduces the probability of developmental problems. In sum, we conclude that our findings are robust to alternative specifications, and that potential biases due to changes in parental composition and non-randomness in child care slot expansion are small. 6.3 Changes in the Quality in Child Care and Spillover Effects We now investigate the question whether the expansion in child care facilities also affected children whose child care attendance was unchanged by the expansion. We first analyze whether the expansion in child care facilities lead to a general deterioration in the quality of child care, by excluding municipalities which experienced a particularly large increase in aggregate child care attendance rates between two years and for which the decline in the quality of child care should be most pronounced (Panel A of Table 7). This has hardly any impact on our estimates for both immigrant and native children, suggesting that the construction of new child care facilities did not lead to a general decline in the quality of child care. Next, we analyze whether the increased exposure to immigrant children increased developmental problems of native children. We do this by including the aggregate attendance rate of immigrant children in years as an additional control variable in our baseline IV regressions (Panel B). This variable has only a small impact on developmental problems of native children, and its inclusion has little impact on our IV estimates for native children. Spillover effects from immigrant to native children therefore appear to be small. 27 Another reason why children whose child care attendance rates are unchanged by the expansion in child care slots are nevertheless affected by the reform could be their increased exposure to younger (i.e., 3-year old) children. We investigate this possibility by including the (approximated) share of 3year-olds in child care in the municipality and cohort that is examined one year later (i.e. the cohort that is one year younger and attends the same child care facilities as the older cohorts) as an additional control variable in our baseline IV regressions (Panel C). For native children, an increased exposure to 3-year-olds generally increases the probability of a developmental problem. This effect is, however, statistically significant for only one outcome variable (gross motor skills). The inclusion of the share of 3-year-olds also reduces the magnitude of the negative point estimate of public child care attendance on language and gross motor skill problems, pointing to the possibility that the negative estimated coefficient for native children may partly be driven by negative spillover effects from younger to older children. This interpretation is however only suggestive, as the differences between these estimates and our baseline estimate are not statistically significant. For immigrant children, an increased exposure to 3-year-olds strongly (and significantly) increases the probability of a German training recommendation, but has little impact on the other outcome variables. Furthermore, the inclusion of the share of 3-year-old attenders in the younger cohort has only a very small impact on the IV estimates for all outcome variables. Thus, these findings suggest that for immigrant children, the spillover effects from younger to older children did not lead to a large bias in our estimates. 6.4 Heterogenous Effects by Gender and Ethnicity Do the effects of child care attendance differ by gender? In Table 8, we report results based on our baseline specification (equation (1)) estimated separately by gender, where we instrument the individual child care attendance rate with the native- and immigrant-specific overall aggregate child care attendance rate. For native children, there is some suggestive evidence that child care attendance increases the probability of deferment for boys, but not for girls. For all other outcomes, point estimates are 28 similar for boys and girls. For immigrant children, the absolute impact of spending one additional year in child care is somewhat larger for boys than for girls. For instance, while one additional year in child care reduces the probability that the pediatrician recommends German training by 16.3 percentage points for boys and 10.1 percentage points for girls. Recall, however, from Table 1 that developmental problems (with the exception of German training) are more pronounced for boys than for girls, which mitigates the difference in effects between boys and girls.31 Our sample of children of immigrant ancestry includes diverse groups, with children from the former Soviet Union whose parents recently migrated to Germany and of whom 19.28% did not live in the same municipality two years before the school entry examination, and from Turkey whose parents, or even grandparents, migrated to Germany primarily in the late 1960s and 1970s and of whom only 4.72% did not live in the same municipality two years before the school entry examination, forming the two largest groups. At the bottom of Panel B in Table 8, we report results based on our baseline specification (equation (1)) estimated separately for these two groups, where we instrument the individual child care attendance rate with the overall immigrant-specific aggregate child care attendance rate. Interestingly, public child care attendance reduces the incidence of developmental problems, including the incidence that the pediatrician recommends German training, for both groups of immigrant children, suggesting that child care attendance does not only benefit children who recently migrated to Germany, but also children whose parents were born in Germany or migrated to Germany many years ago. 6.5 Non-Linear Effects Our results so far restrict the impact of the time spent in child care to be linear in child care duration and to be homogenous by age. In Section 5.2, we have shown that our baseline IV (and OLS) estimates in Table 5 (based on equation (1)) are a weighted average of the marginal treatment effects (see equation 31 Unlike our findings here, several studies, in particular those studying the effects of specific intervention programs (see e.g. Anderson, 2008), often find larger improvements in cognitive outcomes for girls than for boys. One reason why we find somewhat larger effects for boys than girls could be that in our setting, the learning environment is informal and playoriented and focuses on school readiness in terms of physical and language skills rather than on early academic training. This may be an environment which is particularly beneficial for immigrant boys. 29 (2)). In the first column of Table 9, we report the weights given to each marginal treatment effect for immigrant and native children in the OLS and IV estimation. Both estimation methods yield similar weights. In line with Figure 3, the marginal return of attending child care for more than 2 versus 2 years receives the highest weight for native children (53.9% in the IV estimation), followed by the marginal return of attending child care for 2 versus 1 year (29.93%) and for 1 versus 0 years (16.17%). For immigrant children, in contrast, the IV estimator places larger weights on the marginal return of attending child care for 2 versus 1 year (39.11%) and for 1 versus 0 years (22.56%), suggesting that the expansion in child care slots affected immigrant children more often at the extensive margin (1 versus 0 years) and at a low level of the intensive margin (2 versus 1 year) of the child care attendance distribution than native children. Hence, if the benefits of public child care attendance are decreasing in child care duration (or larger when the child is older), this may help to explain why the overall benefits of public child care attendance are larger for immigrant than for native children. Next, we investigate whether the returns to public child care attendance are non-linear. We first report OLS estimates and the IV estimates based on equation (3), where we instrument the individual probabilities that a child attends child care for at least 1, 2 or 3 years with the aggregate share of native and immigrant children in the municipality and school examination cohort who attend child care for at least 1, 2 or 3 years. For native children, OLS estimates suggest that the first, second, and third year in child care reduces developmental problems by roughly the same amount. Turning to the IV estimates, no clear picture emerges and returns are imprecisely estimated. For immigrant children, OLS and IV estimates tend to be similar in magnitude, confirming once again that for these children the bias due to selection into child care is small. For two outcomes— recommendation of training in the German language and deferment— both OLS and IV estimates are suggestive of decreasing marginal returns to child care attendance. While the first and second year in child care (i.e. when the child starts child care at the age of 4 or 5) reduces the probability of a recommendation in German training by about 20 percentage points, the third year (i.e. when the child starts child care at the age of 3) lowers the probability by only 9 percentage points and the effect is 30 statistically insignificant. This is consistent with the hypothesis that children younger than the critical period for language acquisition (around puberty, see e.g. Lenneberg, 1967) learn a new language very easily, and that two years of native language exposure prior to school is sufficient to avoid language deficits. Similarly, while the first and second year in child care decreases the probability of deferment by about 14 and 10 percentage points, the third year reduces the probability only by about 3.7 percentage points, an effect that is again statistically insignificant. Hence, for these two outcomes, non-linear returns to public child care attendance coupled with different weights given to the marginal treatment effects help to explain why immigrant children benefit more from spending an additional year in public child care than native children. For fine motor skill problems, in contrast, the marginal effect of attending an additional year in child care attendance is highest in the third year when children are between 3 and 4.32 One explanation for this finding is that children’s fine motor skills rapidly progress around this age. Hence, it may be particularly important to encourage fine motor skills at that age to prevent problems later on.33 6.6 The Expansion in Child Care Coverage on Mothers’ Labor Supply Our discussion in Section 3.1 highlights that an important indirect channel through which child care attendance may affect child outcomes is maternal labor supply (see also Panel A of Figure 1). Next, we investigate the impact of the expansion in child care facilities on maternal employment, using data from the Microcensus on all mothers residing in West Germany.34 Figure 4 gives a first impression of the link between the expansion in child care slots and mothers’ employment rates for native mothers. In Panel A of the figure, we plot child care attendance rates of native children who in April were 3 or 4 years old 32 We have also run alternative specifications with quadratic terms, using the individual attendance and its square, instrumented by the attendance rate and squared attendance rate for each group. These estimates paint a similar picture as the results reported above. In particular, for minority children the coefficient on the quadratic term is positive and statistically significant for German training recommendation and deferment (pointing towards decreasing marginal returns), and positive and statistically significant for fine motor skills (pointing towards increasing marginal returns). 33 Gallahue and Ozmun (2005) stress that early childhood is the fundamental phase of motor development, where motor skills develop fast and children initially develop and refine basic movement skills, which are the basis for developing more complex movement skills at later childhood. 34 To increase the sample size, we include, unlike in the school entry examination data, children born in the second half of the year in our sample. We find similar results when we restrict the sample to children born in the first half of the year. When we restrict our sample to Northern German states to make our sample more similar to our sample on children, we also obtain very similar results. 31 over time. As expected, the attendance rate of 3- and 4-year-olds sharply rose between 1993 and 2001, by about 20 percentage points, respectively. In Panel B of the figure, we plot the corresponding labor force participation rates of mothers with 3- or 4-year old children (”treatment”) and mothers whose youngest child is 11- or 12-year old (”control”).35 Labor force participation rates of mothers with a 3- or 4-year old child (for whom child care attendance rates increased sharply) rose by 8.7 percentage points between 1993 and 2001. However, labor force participation rates of mothers whose youngest child is 11- or 12-year old (who were thus unaffected by the construction of new child care slots) increased by almost the same amount over the same time period. This suggests that the increase in the labor force participation rates of German mothers with 3- or 4-year old children is mostly due to an aggregate time trend, and not caused by the expansion in child care facilities. We provide additional information in Table 10 based on the same data set separately for native (Panel A) and immigrant mothers (Panel B). For native mothers, the difference-in-difference (”DinD”) estimate, which calculates the differential increase in employment rates between the treatment group over the control group, points to a small positive, but statistically insignificant, effect of the expansion in child care slots on maternal employment: a 10 percentage points increase in the attendance rate of 3- to 4-year-olds leads to an increase in employment rates of their mothers by 0.63 percentage points (0.012/0.19·10). The findings in Panel B of Table 10 further indicate that the expansion in child care slots also had only a small effect on labor force participation rates of immigrant mothers: While the child care attendance rate of 3- or 4-year old immigrant children rose by 23 percentage points between 1993 and 2001, the labor force participation rates of their mothers, as well as the labor force participation rates of mothers with a 11- or 12-year old child, remained roughly constant. Hence, in our setting, the effect of child care attendance on child outcomes through an increase in maternal labor supply is small for both native and immigrant children. Since public child care is heavily subsidized, with parental fees contributing to only 11% of the total costs of child care (see Section 3.2), 35 We use mothers of children, whose youngest child is 11 or 12 years as our control group to ensure that the mothers were not affected by the increase in public child care supply through their younger children. Using mothers with children in a similar age range as a control group leads to similar results. 32 we also expect the impact of child care attendance on monetary investments to be small.36 Public child care attendance therefore affects child outcomes primarily directly, as well through its direct effects on time investments made by the mother and by alternative care givers (see Section 3.1 and Panel A of Figure 1). Does public child care primarily replace maternal care or alternative care? In Panel C of Table 10, we provide some evidence on the counterfactual care arrangement, by separately reporting the 2001-1993 change in the share of mothers with a 3- or 4-year old child who are working and use child care—these mothers are likely to have used alternative forms of child care prior to the expansion in child care slots and switched to public child care because of the expansion—, and the change in the share of mothers who are not working and yet use child care—these mothers are likely to have taken care of their child themselves prior to the expansion in child care slots. The results reveal an interesting difference between native and immigrant mothers. For native mothers, the share of children in child care increases much more for working than for non-working mothers, suggesting that for native children public child care primarily replaces alternative care. For immigrant mothers, in contrast, the increase in the share of mothers who are not working and yet use child care is twice as large as the increase in the share of mothers who are working and use child care. Hence, for immigrant children public child care primarily crowds out maternal care. This partially reflects the much lower labor force participation rates of immigrant mothers than native mothers (see Panel A of Table 10).37 36 Black, Devereux, Løken and Salvanes (2012) use a regression discontinuity approach to analyze the impact of child care subsidies on child care utilization rates and mothers’ labor force participation rates and find small effects on both. The positive effects of the subsidy on child outcomes found in this paper are therefore driven by the income effect of the subsidy. 37 Unfortunately, our data do not allow us to directly investigate the impact of the expansion in child care slots on time investments made by parents and alternative care givers. Even if immigrant children who are pulled into public child care due to the expansion in child care slots would otherwise have been cared for by their mother, public child care attendance might nevertheless increase time investments by the mother. In line with this hypothesis, Gelber and Isen (2011) find that Head Start attendance caused a substantial increase in parents’ involvement with their children. Recent research by Aizer and Cunha (2012) further investigates these adjustment mechanisms. 33 7 Discussion and Conclusion In this paper, we study the impact of time spent in public child care on children who are about to enter school. We do this in a setting where the quality of care is high, fairly homogenous, and almost exclusively public, and where learning is mostly informal, through the social interactions with teachers and other children. In our empirical analysis, we draw on rare administrative data on the population of all children for one large region in Germany. Our outcome variables include indicators for developmental problems (such as language deficits or gross or fine motor skill problems) that may interfere with the child’s success at school. Similar indicators have been found to be strong predictors of later academic success (e.g., Duncan et al., 2007). To deal with the possibly non-random selection of children into public child care, we make use of a federal policy reform which entitles every child to a largely subsidized 4-hour child care slot from her third birthday until school entry. In the region we study, this mandate lead to a staggered timing and intensity of the construction of child care slots across municipalities—which is the variation we exploit in our analysis. We study the effects of public child care attendance separately for children of immigrant and native ancestry, and find very different effects for the two groups. While public child care attendance strongly and robustly reduces language and motor skill problems and improves school readiness for immigrant children, it has no significant effects for native children. We explore a number of possible explanation for these differences. A first reason may be non-linearities in returns to child care attendance. Due to the lower initial child care attendance rates of children of immigrant ancestry, the expansion in child care slots increased both the one-, two-, and three-year attendance rate for immigrant children, but affected primarily the three-year attendance rate for children of native ancestry. At the same time, we find for some outcomes, like language proficiency and overall school readiness, some suggestive evidence for decreasing marginal returns to child care attendance for immigrant children. A second reason may be different counterfactual care arrangements for immigrant and native children. Our findings suggest that for immigrant children, public child care attendance primarily crowds 34 out maternal care, while for native children it primarily replaces alternative care—which is likely to be more similar to public child care than to maternal care, in particular with respect to the exposure and interaction with other children. A third explanation for the larger benefits of public child care attendance for immigrant than for native children is that the returns to investments in public child care, relative to investments made by the mother or alternative care givers, are higher for immigrant children. In our setting, immigrant children are more likely than native children to come from a disadvantaged background, and thus from a group for which several studies have found the benefits of formal child care attendance to be particularly large (see e.g. Havnes and Mogstad, 2011a). Even among disadvantaged children, immigrant children may be, due to the specific deficiencies they face, particularly perceptive to the learning environment provided by public child care. Foremost is here a lack in proficiency in the language of instruction. Deficiencies in language proficiency may lead to serious under-performance at early elementary education, with potentially damaging consequences not only far into the educational curriculum, but also for many other aspects of life (see e.g. Bleakley and Chin 2008, 2010). The exposure to other children in public child care, especially children whose first language is the host country language, is likely to quickly reduce this deficit. Moreover, host country language proficiency may facilitate learning in other areas and thus lead to complementarities and positive spillover effects—hence explaining the positive effects of child care attendance on other measures of early achievement besides on language proficiency. 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Philipps. 2000. ”From Neurons to Neighborhoods: The Science of Early Childhood Development.” National Academy Press: Washington, D.C. 40 Figure 1: Channels through which child care attendance affects child development Panel A: Child care attendance at age t on child development at the end of period t investments by mother child care attendance in period t maternal labor supply investments by alternative care givers child development at the end of period t monetary investments Panel B: Dynamic Effects child care attendance in period t child development at the end of period t returns to investments/ amounts invested in period t+1 child development at the end of period t+1 Figure 2: Evolution of Number of Years in Child Care by Year of Birth Note : The figure plots the average number of years children spend in child care by birth cohort, separately for children of native ancestry and children of immigrant ancestry. Source : Administrative Data from School Entry Examinations, Weser-Ems, 1994-2004, children born between January and June. Figure 3: Evolution of Child Care Attendance Duration Groups by Year of Birth Panel A: Children of native ancestry Panel B: Children of immigrant ancestry Note : The figures plot the share of children who do not attend child care at all, and who attend child care for 1, 2, 3 or more years, separately for children of native ancestry (Panel A) and children of immigrant ancestry (Panel B). Source : Administrative Data from School Entry Examinations, Weser-Ems, 1994-2004, children born between January and June. Table 1: Overview of Outcome Variables Panel A: Children of native ancestry language and speech difficulties fine motor skill problems gross motor skill problems deferment recommended at least one problem . Panel B: Children of immigrant ancestry % former Soviet Union % Turkish German Training recommended fine motor skill problems gross motor skill problems deferment recommended at least one problem N 78,421 63,960 77,952 78,623 62,001 all 22.2% 17.9% 17.1% 12.7% 38.7% boys 26.7% 25.9% 23.6% 16.9% 49.0% girls 17.5% 9.6% 10.3% 8.4% 28.1% 42.0 26.0 N 10,011 8,879 10,243 10,393 8,347 all 34.3% 16.3% 14.1% 22.6% 46.4% boys 35.3% 21.7% 17.6% 26.4% 51.9% girls 33.2% 10.4% 10.5% 18.5% 40.6% Note : The table reports, separately for children of native (Panel A) and children of immigrant ancestry (Panel B) as well as separately for boys and girls, the incidence that a child experiences language and speech difficulties (need of German training for immigrant children) the incidence of fine or gross motor skill problems, as well as the incidence that the pediatrician recommends deferment from immediate school entry. In the last row the variable is an indicator for having at least one of the first four problems. Source : Administrative Data from School Entry Examinations, Weser-Ems, 1994-2002, children born between January and June. Table 2: Parental Characteristics and Child Care Attendance Panel A: Children of native ancestry share attendance no post-secondary education, mother tertiary education, mother no post-secondary education, father tertiary education, father child lives with both parents number of siblings mother's age mother working father working all no attendance 1 year 2 years 3 years or more 7.4% 15.2% 3.1% 24.5% 81.8% 1.27 36.08 76.0% 91.7% 3% 22.8% 9.9% 9.8% 15.3% 80.0% 1.86 35.07 70.6% 78.4% 6% 16.7% 7.3% 6.0% 12.6% 75.7% 1.72 35.11 74.4% 85.0% 34% 7.9% 9.8% 3.2% 17.3% 85.8% 1.35 35.86 77.2% 92.2% 58% 5.6% 18.7% 2.5% 29.5% 80.5% 1.15 36.30 75.8% 92.6% all no attendance 1 year 2 years 3 years or more 36.9% 13.5% 24.0% 15.9% 87.5% 1.90 32.69 56.1% 76.5% 9% 45.4% 13.0% 28.3% 15.0% 91.3% 3.23 32.77 52.3% 71.0% 16% 38.3% 12.5% 26.4% 13.9% 86.5% 2.33 32.81 55.7% 76.8% 29% 40.7% 12.1% 27.2% 14.3% 89.3% 1.85 32.67 52.8% 75.0% 46% 32.7% 14.6% 20.5% 17.6% 86.0% 1.49 32.65 58.8% 78.1% Panel B: Children of immigrant ancestry share attendance no post-secondary education, mother tertiary education, mother no post-secondary education, father tertiary education, father child lives with both parents number of siblings mother's age mother working father working Note: The table provides information about mean parental characteristics of children of native (Panel A) and of immigrant ancestry (Panel B) by child care duration. Source: Administrative Data from School Entry Examinations for children born January to June, Weser-Ems, 2002-2006, for which parental characteristics are available. Number of observations for native children is between 16,467 and 24,677 and for immigrant between 1,917 and 3,887. Table 3: First Stage estimates: The Impact of Aggregate Attendance Rates on Indivdual Attendance Rates Panel A: Child care attendance in years Native children F-statistic partial R2 0.954 (0.031)** 1100.993 Immigrant children 0.92 (0.036)** 402.834 0.014 0.039 Panel B: Child care attendance duration groups Children of native ancestry share ≥ 1 1.014 (0.045)** -0.025 (0.019) 0.017 (0.012) F-statistic 399.61 share ≥ 2 -0.048 (0.050) 1.136 (0.034)** -0.012 (0.016) 327.525 share ≥ 3 -0.002 (0.063) -0.03 (0.054) 1.045 (0.031)** 360.84 0.015 0.012 0.014 F-statistic share ≥ 1 1.022 (0.037)** -0.035 (0.035) -0.038 (0.032) 148.62 share ≥ 2 0.004 (0.051) 1.006 (0.046)** -0.027 (0.042) 140.061 share ≥ 3 0.038 (0.043) -0.035 (0.049) 0.949 (0.048)** 121.533 partial R2 0.044 0.041 0.036 partial R2 Children of immigrant ancestry Note : In Panel A, we report key statistics from our baseline linear first stage regression where we regress individual child care attendance in years on the native- and immigrant-specific child care attendance rate in years in the municipality and school examination cohort, and control for municipality and school examination cohort fixed effects as well as gender, age at examination in months, month of birth dummies and, for immigrant children, ethnicity dummies. In Panel B, we display key statistics from our non-linear first stage regressions where we regress individual indicator variables that the child attends child care for at least 1, 2 or 3 years on the aggregate share of native and immigrant children who attend child care for at least 1, 2 or 3 years in the municipality and school examination cohort, and control for municipality and school examination fixed effects as well as the same individual control variables as in Panel A. Standard errors are clustered at the municipality level. * indicates significance at a 5% level, ** indicates significance at a 1% level. Source : Administrative Data from School Entry Examinations, Weser-Ems, 1994-2002, children born between January and June. Aggregate attendance rates are computed using all children in the school examination cohort. Table 4: Determinants of Intensity in Construction of Child Care Slots, 1994 to 2002 change in aggregate child care attendance rate in years, 2001/02 vs 1994/95: Children of native Children of immigrant ancestry ancestry aggregate attendance rate in years for native children, 1994/95 aggregate attendance rate in years for immigrant children, 1994/95 median wage, 1991/1992 share high-skilled, 1991/1992 share medium-skilled, 1991/1992 share unemployed, 1993 share social welfare recipients, 1995 number of inhabitants in thousands, 1991/92 share immigrants in workforce, 1991/92 0.061 (0.062) -0.762 (0.142)** -0.285 (0.106)** 0.003 -0.001 -0.005 (0.013) 0.003 (0.004) 0.033 (0.015)* -0.019 (0.013) 0.001 (0.000) 0.003 (0.008) 0.581 (0.179)** 0.005 (0.003) 0.011 (0.021) 0.011 (0.009) 0.01 (0.023) -0.002 (0.026) 0.000 (0.001) 0.016 (0.019) Note: The table investigates the determinants of the intensity of the construction of new child care slots, by regressing the change in the aggregate child care attendance rate in years in the municipality between children who are examined in 2001 or 2002 and children who are examined in 1994 or 1995 on municipality baseline characteristics, referring to (depending on data availability) the years 1991/92 to 1994/95, respectively. Results are weighted with the number of native and immigrant children born January to June in the adminstrative data from school entry examinations, averaged over the years 1994 and 1995. Standard errors are clustered at the municipality level. * indicates significance at a 5% level, ** indicates significance at a 1% level. Source : Child care attendance rates: Administrative Data from School Entry Examinations, Weser-Ems, 19942002. Median wage, share high- and medium-skilled: Social Security Records, Weser-Ems, 1991/92, 18-65 year olds. Unemployment rate (from 1993) and share social welfare recipients (from 1995): Statistical Office of Lower Saxony. Table 5: The Impact of Child Care Attendance on Child Development: Baseline Results Panel A: Children of native ancestry language and speech difficulties (i) OLS -0.025 (0.003)** (ii) IV 0.022 (0.025) fine motor skill gross motor problems skill problems -0.029 -0.024 (0.004)** (0.003)** 0.026 0.036 (0.036) (0.032) deferment recommended -0.051 (0.003)** 0.032 (0.018) summary measure -0.036 (0.005)** 0.064 (0.043) Panel B: Children of immigrant ancestry fine motor skill gross motor German training problems skill problems (i) OLS -0.112 -0.022 -0.016 (0.008)** (0.004)** (0.004)** (ii) IV -0.141 -0.084 -0.021 (0.030)** (0.021)** (0.018) deferment recommended -0.079 (0.007)** -0.084 (0.022)** summary measure -0.092 (0.007)** -0.177 (0.030)** Note : The table reports, separately for children of native (Panel A) and children of immigrant ancestry (Panel B) OLS (rows (i)) and IV estimates (rows (ii)) based on equation (1) for the impact of attending one additional year in child care on developmental problems. Our instrument is the native- and immigrantspecific aggegate child care attendance rate in the municipality and school examination cohort. In addition to municipality and school examination cohort fixed effects, we control for gender, age at examination in months, month of birth and, for immigrant children, ethnicity. See Table 3, Panel A, for estimates of the first stage. Standard errors are clustered at the municipality level. * indicates significance at a 5% level, ** indicates significance at a 1% level. Source : Administrative Data from School Entry Examinations, Weser-Ems, 1994-2002, children born between January and June. Table 6a: The Impact of Child Care Attendance on Child Development: Robustness Checks Children of native ancestry (1) language and speech difficulties fine motor skill problems gross motor skill problems deferment recommended summary measure (at least 1 problem) N small municipalities with (3) composition municipalities with inflow municipalities with increase less than 100 native children of migrants 2002-1991 in share of immigrants by above median excluded 0.051 (0.028) 0.002 (0.043) 0.103 (0.037)** 0.039 (0.023) 0.086 (0.061) 46,994 5%-points excluded 0.008 (0.028) 0.056 (0.046) 0.079 (0.043) 0.019 (0.022) 0.088 (0.061) 54,420 excluded 0.016 (0.027) 0.03 (0.038) 0.04 (0.041) 0.028 (0.021) 0.066 (0.049) 70,446 movers excluded 0.023 (0.026) 0.028 (0.037) 0.036 (0.033) 0.036 (0.019) 0.071 (0.046) 75,781 (5) (6) plus municipality controls language and speech difficulties fine motor skill problems gross motor skill problems deferment recommended summary measure (at least 1 problem) N (2) 0.014 (0.025) 0.02 (0.039) 0.025 (0.030) 0.024 (0.018) 0.03 (0.038) 78,133 (7) random expansion flexible time trend with munipicality-specific respect to baseline aggregate linear time trend -0.012 (0.029) -0.088* (0.045) -0.002 (0.026) 0.017 (0.019) -0.048 (0.042) 78,201 child care attendance rate 0.023 (0.025) 0.044 (0.038) 0.045 (0.031) 0.031 (0.016)* 0.079 (0.047) 77,541 (4) (8) flexible time trend with respect to municipality baseline characteristics 0.028 (0.032) -0.057 (0.055) 0.022 (0.031) 0.011 (0.023) 0.011 (0.042) 78,201 Note : The table reports several robustness checks on our baseline specification for the impact of attending one additional year in child care on developmental problems for native children. In column (1), we exclude small municipalities with less than 100 native children from our sample. In columns (2) to (4), we test the robustness of our results to compositional changes by excluding from the sample children who moved to the municipality within the last 2 years, municipalities with an increase in immigration (measured as the percentage point change in the share of immigrants in the working population) above the median and municipalities with an increase in the share of immigrant children in the School Entry Examinations from one year to the next of more than 5 percentage points. In columns (5) to (8), we investigate the assumption that the construction of child care slots was random by first controlling for municipality characteristics (median wage, share medium- and high-skilled, share foreign workers, number of inhabitants) referring to the years when the child is 2 and 5 years old, respectively. We then allow for a municipality-specific linear time trend (column (6)) as well as for a fully flexible time trend with respect to the native-specific child care attendance rate in the base year (1994/95) (column (7)) and observable characteristics in the base year (column (8)). In addition to municipality and school examination cohort effects, all regressions control for gender, age at examination in months, and month of birth. The reported number of observations is for the outcome "deferment recommended" (and very similar to other outcomes). Standard errors are clustered at the municipality level. * indicates significance at a 5% level, ** indicates significance at a 1% level. Source : Administrative Data from School Entry Examinations, Weser-Ems, 1994-2002, children of native ancestry born between January and June. Observable municipality characteristics: Social Security Records, Weser-Ems, 1990-2002, 18-65 year olds and Statistical Office of Lower Saxony. Table 6b: The Impact of Child Care Attendance on Child Development: Robustness Checks Children of immigrant ancestry (1) German training recommended fine motor skill problems gross motor skill problems deferrment recommended summary measure (at least 1 problem) N German training recommended fine motor skill problems gross motor skill problems deferment recommended summary measure (at least 1 problem) N (2) small municipalities with (3) composition municipalities with inflow less than 20 immigrant of migrants 2002-1991 (4) children excluded -0.156 (0.053)** -0.105 (0.035)** -0.02 (0.026) -0.051 (0.032) -0.168 (0.050)** movers excluded -0.134 (0.029)** -0.098 (0.026)** -0.022 (0.022) -0.096 (0.024)** -0.178 (0.034)** above median excluded -0.155 (0.044)** -0.081 (0.031)** -0.015 (0.027) -0.076 (0.034)* -0.18 (0.044)** municipalities with increase in share of immigrants by 5%-points excluded -0.176 (0.040)** -0.107 (0.030)** -0.046 (0.026) -0.119 (0.032)** -0.172 (0.043)** 8,119 8,985 7,199 6,691 (5) (6) (7) random expansion flexible time trend with respect to baseline plus municipality controls munipicalityaggregate child care specific linear time attendance rate trend -0.15 -0.176 -0.129 (0.030)** (0.026)** (0.029)** -0.075 -0.083 -0.083 (0.022)** (0.022)** (0.022)** -0.022 -0.026 -0.022 (0.019) (0.019) (0.019) -0.092 -0.095 -0.081 (0.021)** (0.021)** (0.023)** -0.183 -0.168 -0.151 (0.030)** (0.032)** (0.030)** 10,320 10,323 10,285 (8) flexible time trend with respect to municipality baseline characteristics -0.169 (0.029)** -0.119 (0.029)** -0.02 (0.019) -0.099 (0.022)** -0.203 (0.034)** 10,323 Note : The table reports several robustness checks on our baseline specification for the impact of attending one additional year in child care on developmental problems for immigrant children. In column (1), we exclude small municipalities with less than 20 immigrant children from our sample. In columns (2) to (4), we test the robustness of our results to compositional changes by excluding from the sample children who moved to the municipality within the last 2 years, municipalities with an increase in immigration (measured as the percentage point change in the share of immigrants in the working population) above the median and municipalities with an increase in the share of immigrant children in the School Entry Examinations from one year to the next of more than 5 percentage points. In columns (5) to (8), we investigate the assumption that the construction of child care slots was random by first controlling for municipality characteristics (median wage, share medium- and high-skilled, share foreign workers, number of inhabitants) referring to the years when the child is 2 and 5 years old, respectively. We then allow for a municipality-specific linear time trend (column (6)) as well as for a fully flexible time trend with respect to the immigrant-specific child care attendance rate in the base year (1994/95) (column (7)) and observable characteristics in the base year (column (8)). In addition to municipality and school examination cohort effects, all regressions control for gender, age at examination in months, month of birth, and ethnicity. The reported number of observations is for the outcome "deferment recommended" (and very similar to other outcomes). Standard errors are clustered at the municipality level. * indicates significance at a 5% level, ** indicates significance at a 1% level. Source : Administrative Data from School Entry Examinations, Weser-Ems, 1994-2002, children of immigrant ancestry born between January and June. Observable municipality characteristics: Social Security Records, Weser-Ems, 1990-2002, 18-65 year olds and Statistical Office of Lower Saxony. Table 7: Changes in Child Care Quality and Spillover Effects from immigrant and younger children Panel A: Changes in the quality of child care (municipalities with rapid expansion excluded) language and speech difficulties/ German fine motor skill gross motor skill problems problems training recommended Children of native ancestry 0.012 0.03 0.062 (0.032) (0.058) (0.041) Children of immigrant ancestry -0.111 -0.115 -0.041 (0.039)** (0.027)** (0.022) Panel B: Peer effects: increased exposure of native children to immigrant children language and speech difficulties/ German fine motor skill gross motor skill problems problems training recommended 0.022 0.021 0.033 individual child care attendance in (0.025) (0.036) (0.033) years (IV) aggregate child care attendance in 0.001 0.015 0.007 years of immigrant children (peer effect) (0.007) (0.009) Panel C: Peer effects: increased exposure to younger children language and speech difficulties/ German fine motor skill problems training recommended Native children 0.009 0.025 individual child care attendance in (0.029) (0.039) years (IV) 0.107 0.114 share of 3-year old children in cohort (0.070) (0.071) t+1 (peer effect) Immigrant children -0.161 -0.096 individual child care attendance in (0.031)** (0.022)** years (IV) 0.489 0.009 share of 3-year old children in cohort (0.162)** (0.121) t+1 (peer effect) deferment recommended 0.009 (0.018) -0.081 (0.025)** summary measure 0.008 (0.027) -0.196 (0.032)** deferment recommended 0.032 (0.019) summary measure 0.057 (0.044) 0.001 0.019 (0.007) (0.005) (0.011) gross motor skill problems deferment recommended summary measure 0.018 (0.029) 0.194 (0.049)** 0.029 (0.019) 0.014 (0.033) 0.055 (0.044) 0.125 (0.085) -0.027 (0.019) 0.07 (0.100) -0.091 (0.024)** 0.006 (0.111) -0.195 (0.030)** 0.321 (0.146)* Note: In Panel A, we investigate the robustness of our results to decreases in child care quality, by excluding municipalities for which the expansion in child care slots was particularly rapid (i.e. municipalities with an increase in the aggregate child care attendance rate in years between two school examination cohorts above 90th percentile). In Panel B, we investigate whether the increased attendance rate of immigrant children had an effect on developmental problems of native children, by including the aggregate child care attendance rate in years of immigrant children as an additional control variable in our baseline IV regression (see Table 5). In Panel C, we analyze whether the increased attendance rate of three-year-old children affected the development of native and immigrant children, by including the share of 3-year olds in child care in the municipality and the cohort that is examined one year later (cohort t+1) as an additional control variable in our baseline IV regression. In addition to municipality and school examination cohort fixed effects, all regressions control for gender, age at examination in months, month of birth, and ethnicity. Standard errors are clustered at the municipality level. * indicates significance at a 5% level, ** indicates significance at a 1% level. Source : Administrative Data from School Entry Examinations, Weser-Ems, 1994-2003, children born between January and June. Table 8: The Impact of Child Care Attendance on Child Development: Results by Gender and Ethnicity Panel A: Children of native ancestry language and speech fine motor skill gross motor skill difficulties problems problems girls 0.006 0.02 0.021 (0.029) (0.029) (0.027) boys 0.006 0.03 0.05 (0.029) (0.050) (0.042) deferment recommended 0.009 (0.018) 0.053 (0.027) summary measure 0.027 (0.053) 0.096 (0.048)* Panel B: Children of immigrant ancestry German training recommended girls -0.101 (0.039)* boys -0.163 (0.035)** former Soviet Union -0.121 (0.033)** Turkish -0.145 (0.068)* deferment recommended -0.048 (0.031) -0.108 (0.028)** -0.023 (0.027) -0.07 (0.059) summary measure -0.126 (0.042)** -0.203 (0.040)** -0.186 (0.037)** -0.155 (0.074)* fine motor skill gross motor skill problems problems -0.037 -0.014 (0.022) (0.023) -0.118 -0.03 (0.032)** (0.027) -0.082 -0.041 (0.030)** (0.021) -0.112 0.034 (0.064)* (0.051) Note: The table first reports, separately for native (Panel A) and immigrant children (Panel B), IV estimates of the impact of attending one additional year in child care separately by gender, where we estimate our baseline regression (see equation (1)) separately by gender and instrument individual child care attendance with the nativeand immigrant-specific overall aggregate child care attendance rate. For immigrant children, we also report IV estimates separately for the two largest immigrant groups: children from the former Soviet Union and from Turkey, by estimating our baseline regression (equation (1)) separately for these two groups and instrumenting individual child care attendance with the overall immigrant-specific aggregate child care attendance rate. In addition to municipality and school entrance examination cohort fixed effects, all regressions control for gender, age at examination in months, month of birth, and (for immigrant children) ethnicity. Standard errors are clustered at the municipality level. * indicates significance at a 5% level, ** indicates significance at a 1% level. Source : Administrative Data from School Entry Examinations, Weser-Ems, 1994-2002, children born between January and June. Table 9: Non-Linear Effects of Child Care Attendance on Child Development Panel A: Children of native ancestry (1) weight given to marginal return (2) language and (3) fine motor (4) gross motor speech deficits skill problems skill problems (5) (6) deferment recommended summary measure OLS Y -Y 1 0 13.89% -0.022 (0.010)* -0.035 (0.009)** -0.028 (0.012)* -0.054 (0.011)** -0.047 (0.013)** 2 1 32.13% -0.033 (0.007)** -0.045 (0.010)** -0.028 (0.006)** -0.083 (0.007)** -0.041 (0.010)** >2 2 53.97% -0.022 (0.004)** -0.022 (0.006)** -0.024 (0.004)** -0.035 (0.005)** -0.033 (0.007)** 1 0 16.17% 2 1 -0.141 (0.117) 0.056 (0.073) 0.136 (0.129) 0.027 (0.094) -0.066 (0.132) 0.057 (0.070) 0.037 (0.115) -0.016 (0.044) -0.078 (0.211) 0.116 (0.105) >2 2 0.05 (0.046) -0.009 (0.059) 0.059 (0.046) 0.063 (0.026)* 0.053 (0.076) (2) German training (3) fine motor (4) gross motor (5) (6) deferment recommended summary measure Y -Y Y -Y IV Y -Y Y -Y Y -Y 29.93% 53.90% Panel B: Children of immigrant ancestry (1) weight given to marginal return recommended skill problems skill problems OLS Y -Y 1 0 23.39% 2 1 38.96% Y -Y >2 2 37.65% Y -Y 1 0 2 >2 -0.147 (0.022)** -0.146 (0.018)** -0.07 (0.013)** -0.03 (0.018) -0.01 (0.010) -0.031 (0.007)** -0.009 (0.011) -0.023 (0.010)* -0.012 (0.007) -0.121 (0.017)** -0.065 (0.010)** -0.082 (0.012)** -0.127 (0.021)** -0.106 (0.019)** -0.068 (0.012)** 22.56% -0.204 (0.068)** 0.045 (0.069) -0.031 (0.066) -0.14 (0.054)** -0.247 (0.086)** 1 39.11% 2 38.32% -0.191 (0.078)* -0.092 (0.075) -0.059 (0.065) -0.165 (0.063)** -0.015 (0.042) -0.007 (0.056) -0.099 (0.057) -0.037 (0.059) -0.143 (0.090) -0.198 (0.080)* Y -Y IV Y -Y Y -Y Note : The first column of the table reports for our baseline OLS and IV specification the weights given to each marginal return to child care attendance in the OLS and IV estimates, separately for children of native (Panel A) and children of immigrant ancestry (Panel B). See Section 4.2, equation (2) for a computation of the weights for the IV estimation, and footnote 28 for the OLS estimation. The table then reports, separately for native and immigrant children, OLS and IV estimates for the marginal return to attending child care for 1 year versus 0 years, for 2 years versus 1 year, and for three or more years versus 2 years. We obtain the OLS estimates by estimating equation (5). To obtain IV estimates, we instrument the dummy variables in equation (5) with the aggregate share of native and immigrant children who attend child care for at least 1, 2 or 3 years in the municipality and school examination cohort. In addition to municipality and examination cohort fixed effects, we control for gender, age at examination in months, month of birth and (for immigrant children) ethnicity. Standard errors are clustered at the municipality level. * indicates significance at a 5% level, ** indicates significance at a 1% level. Source : Administrative Data from School Entry Examinations, Weser-Ems, 1994-2002, children born between January and June. Figure 4: Evolution of Childcare Attendance and Maternal Labor Force Participation Rates by Age of Child Note : The figure plots, for native children children and their mothers, the evolution of child care attendance rates and maternal labor force participation rates in April each year, by the age of the child. Source : Microcensus, West Germany, 1991, 1993, 1995-2001, native children (and their mothers), who are 3 or 4 years old, and native mothers whose youngest child is 11 or 12 years old, respectively. Table 10: Expansions in Child Care Coverage and Maternal Labor Force Participation Rates Panel A: Child Care Attendance Rates and Mothers' Labor Force Participation Child care attendance Change 2001 vs Level: 1993 1993 i) Native children Mother working Level: 1993 Change 2001 vs 1993 "Treatment" 3 and 4 year olds 0.52 0.19 0.38 0.086 . . 0.63 0.073 0.012 (0.013) "Control" 11 and 12 year olds "DinD" Child care attendance Change 2000/2001 Level: vs 1991/93 1991/93 ii) Immigrant children Mother working Change 2000/2001 vs Level 1991/93 1991/93: "Treatment" 3 and 4 year olds 0.41 0.23 0.26 0.028 . . 0.49 0.038 -0.008 (0.029) "Control" 11 and 12 year olds "DinD" Panel B: Does Formal Care Crowd Out Maternal or Alternative Care? i) Native children 3 and 4 year olds, Change 2001 vs 1993 Change in share of women working and using child care 0.13 (replacement of alternative care) 0.06 Change in share of women not working and using child care (replacement of maternal care) 3 and 4 year olds, Change ii) Immigrant children 2000/2001 vs 1991/93 Change in share of women working and using child care 0.08 (replacement of alternative care) 0.15 Change in share of women not working and using child care (replacement of maternal care) Note: In Panel A, we first report for native children the child care attendance rates and maternal labor force participation rates in 1993, as well the change in these rates between 2001 and 1993, for two groups of children and their mothers: 3and 4-year-old children for whom child care attendance rates rose sharply ("treatment") and for 11- and 12-year-old children who have no younger siblings and who were unaffected by the expansion in child care slots ("control"). By restricting the control group to 11- and 12-year-old children who have no younger siblings we ensure that their mothers were not affected by the expansion in child care slots through the younger sibling. We also display the "DinD" estimate which calculates the differential increase in employment rates between the treatment group over the control group. Here, we condition on mother's age and an indicator for singleparenthood (results are very similar when controls ar omitted). We then repeat the analysis for immigrant children and their mothers where, due to the small sample size, we combine the years 1991/93 and 2000/2001. In Panel B, we investigate whether formal child care replaces maternal or alternative care, by separately reporting the change in the share of women who are using child care and who are or who are not working between 2001 and 1993 (native mothers) and 2000/2001 and 1991/93 immigrant mothers). Source: Microcensus, 1991, 1993, 1995-2001, West Germany, children and their mothers, who are 3 or 4 years old and mothers, whose youngest child is 11 or 12 years old. The sample consists of 22,153 native children and 5,396 immigrant children. Table A1a: Randomness of Timing and Intensity of Construction of Child Care Slots: Children of native ancestry aggregate detailed aggregate attendance rates: attendance rate in years share ≥ 1 share ≥ 2 share ≥ 3 Referring to age 5: median wage -0.001 0.000 0.001 -0.001 (0.002) (0.000) (0.001) (0.001) share high-skilled -0.002 0.001 -0.009 0.002 (0.011) (0.002) (0.004)* (0.008) share medium-skilled -0.002 0.001 -0.001 -0.002 (0.003) (0.001) (0.001) (0.002) number of inhabitants in thousands -0.029 -0.002 -0.002 -0.010 (0.012)* (0.002) (0.005) (0.006) share immigrants in population 0.009 0.001 0.004 0.003 (0.009) (0.001) (0.002) (0.005) share social welfare recipients 0.009 0.003 0.004 0.003 (0.008) (0.001) (0.003) (0.004) share unemployed -0.006 -0.001 -0.008 -0.004 (0.012) (0.002) (0.004)* (0.007) Referring to age 2: median wage 0.000 -0.001 0.001 -0.001 (0.003) (0.000)** (0.001) (0.002) share high-skilled 0.011 -0.002 -0.007 0.013 (0.012) (0.002) (0.004) (0.008) share medium-skilled -0.005 0.000 0.000 -0.003 (0.004) (0.001) (0.002) (0.002) number of inhabitants in thousands -0.016 -0.001 -0.002 -0.001 (0.011) (0.001) (0.004) (0.006) share immigrants in population 0.000 0.001 0.001 0.000 (0.010) (0.001) (0.003) (0.006) share unemployed 0.012 0.005 0.001 -0.004 (0.011) (0.002)** (0.004) (0.006) Note : The table investigates the randomness of the construction of new child care slots, by regressing the aggregate child care attendance rate for native children in the municipality and school examination cohort in years, as well as the share of native children in the municipality and school examination cohort who attend child care for at least 1, 2, or 3 years on a number of municipality characteristics, controlling for observable child characteristics (gender, age at examination and month of birth) as well as municipality and school examination cohort fixed effects. Municipality characteristics refer to 1 and 4 years before the school examination when children were 5 and 2 years old. Standard errors are clustered at the municipality level. * indicates significance at a 5% level, ** indicates significance at a 1% level. Sources : Administrative Data from School Entry Examinations, Weser-Ems, 1994-2002. Median wage, share high- and medium-skilled: Social Security Records, Weser-Ems, 1990-2002, 18-65 year olds. Unemployment rate (from 1993) and share social welfare recipients (from 1995): Statistical Office of Lower Saxony. Table A1b: Randomness of Timing and Intensity of Construction of Child Care Slots: Children of immigrant ancestry aggregate detailed aggregate attendance rates: attendance rate in years share ≥ 1 share ≥ 2 share ≥ 3 Referring to age 5: median wage 0.005 -0.001 0.002 0.003 (0.003) (0.001) (0.001) (0.002)* share high-skilled 0.013 -0.001 -0.002 0.016 (0.030) (0.010) (0.013) (0.015) share medium-skilled -0.01 -0.002 -0.006 -0.004 (0.008) (0.003) (0.004) (0.004) number of inhabitants in thousands -0.032 -0.005 -0.011 -0.009 (0.013)* (0.005) (0.009) (0.005) share immigrants in workforce -0.015 -0.002 -0.006 -0.004 (0.026) (0.008) (0.009) (0.011) share social welfare recipients 0.007 0.006 -0.001 0 (0.022) (0.007) (0.009) (0.007) share unemployed 0.059 0.001 0.031 0.016 (0.033) (0.011) (0.015)* (0.013) Referring to age 2: median wage 0.006 -0.003 0.000 0.007 (0.006) (0.002) (0.003) (0.002)** share high-skilled -0.033 -0.023 -0.012 -0.005 (0.043) (0.014) (0.014) (0.020) share medium-skilled -0.005 0.004 -0.001 -0.008 (0.014) (0.003) (0.005) (0.006) number of inhabitants in thousands -0.023 -0.006 -0.007 -0.003 (0.016) (0.004) (0.006) (0.009) share immigrants in workforce -0.018 0.005 -0.005 -0.006 (0.026) (0.005) (0.011) (0.013) share unemployed 0.022 0.000 0.023 0.004 (0.033) (0.007) (0.016) (0.015) Note : The table investigates the randomness of the construction of new child care slots, by regressing the aggregate child care attendance rate for immigrant children in the municipality and school examination cohort in years, as well as the share of immigrant children in the municipality and school examination cohort who attend child care for at least 1, 2, or 3 years on a number of municipality characteristics, controlling for observable child characteristics (gender, age at examination, month of birth, and ethnicity) as well as municipality and school examination cohort fixed effects. Municipality characteristics refer to 1 and 4 years before the school examination when children were 5 and 2 years old. Standard errors are clustered at the municipality level. * indicates significance at a 5% level, ** indicates significance at a 1% level. Sources: Administrative Data from School Entry Examinations, Weser-Ems, 1994-2002. Median wage, share high- and medium-skilled: Social Security Records, Weser-Ems, 1990-2002, 18-65 year olds. Unemployment rate (from 1993) and share social welfare recipients (from 1995): Statistical Office of Lower Saxony.
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