Does Head Start Make a Difference

Posted: December 6, 2011 at 11:35 am

Does Head Start Make a Difference ?

By Janet Currie and Duncan Thomas*

The impact of participation in Head Start is investigated using a national sample of children. Comparisons are drawn between siblings to control for selection. Head Start is associated with large and significant gains in test scores among both whites and African-Americans. However, among African-Americans, these gains are quickly lost. Head Start significantly reduces the probability that a white child will repeat a grade, but it has no effect on grade repetition among African-American children. Both whites and African-Americans who attend Head Start, or other preschools, gain greater access to preventive health services. (JEL I38, H43)

Head Start is a federal matching grant program that aims to improve the learning skills, social skills, and health status of poor children so that they can begin schooling on an equal footing with their more advantaged peers. Begun in 1964, as part of the "War on Poverty," Head Start has enjoyed great public and bipartisan support. Presidents George Bush and Bill Clinton both pledged to increase federal funding so that all eligible' children could be served. Today 622,000 children, roughly 28 percent of eligible 3-5-year-olds, are served at a cost of $2.2 billion per year, or approximately $3,500 per child, per year (Anne Stewart, 1992).

Policyrnakers and the general public appear to believe that the benefits of Head Start are well known and well documented. However, a careful reading of the literature reveals that credible studies that demonstrate lasting effects of Head Start are limited. The studies that do exist are typically restricted to small geographic regions and specific racial groups.

In this study we use a national sample of data from the National Longitudinal Survey of Youth (NLSY) and the National Longitudinal Survey's Child-Mother file (NLSCM) to reexamine the impact of Head Start on school performance, cognitive attainment, preventive medical care, and health and nutritional status. Although our study is no substitute for a national randomized trial, we do take some novel steps to sort out the effects of the Head Start program from possible nonrandom selection into the program. First, we contrast children who have been enrolled in the Head Start program with their siblings who have not, in order to control for family background effects on cognitive and health outcomes. Second, using the same sibling contrasts, we compare the impact of Head Start relative to "no preschool" with the impact of participation in other preschools relative to "no preschool." These "difference-in-difference" estimates further control for possible biases in the estimates due to child-specific determinants of participation in Head Start.

When selection is controlled in this way, Head Start has positive and persistent effects on the test scores and schooling attainment of white children, relative to participation in either other preschools or no preschool. In contrast, while the test scores of African-American children also increase with participation in Head Start, these gains are quickly lost, and there appear to be no positive effects on schooling attainment.

Relative to "no preschool," participation in either Head Start or preschool is associated with improved utilization of preventive medical care, as proxied by immunization rates, among whites and African-Americans. In contrast, there is no evidence that Head Start has any effect on child height-for-age, a longer-run indicator of health and nutritional status.

The rest of the paper is laid out as follows. The first section contains a brief overview of the previous literature. In the second, the methods are discussed. The third section provides a description of the data and our child outcome measures. The estimated effects of Head Start are presented in the fourth section. We conclude with a crude assessment of the possible long-term benefits of the program and weigh these against its cost.

I. A Brief Sketch of the Literature

Most previous studies of Head Start have focused only on assessing gains to IQ, despite the broad goals of the Head Start program. For example, although Head Start provides "a comprehensive health services program which includes a broad range of medical services" (Head Start Bureau, 1992), a recent review of 210 studies conducted by the US Department of Health and Human Services (Ruth McKey et al.. 1985) cites only 34 studies that have examined effects on health. These studies provide useful qualitative information about the health effects of the program, but very few of them attempt to quantify, the effects in any way. McKey et al. also note that very few studies have examined the impact of Head Start on schooling attainment.

The most convincing studies of the IQ effects of Head Start utilize a treatment and control design with random assignment. These studies typically find that there are initial gains to Head Start which fade over time and become insignificant by the third grade. However, Steven Barnett (1992) notes that experimental evaluations of the longer-term effects on IQ may be biased by attrition because children who move are likely to be lost from the experiment (although the direction of any bias is not obvious). A second limitation is that existing experimental evaluations have not been based on national samples of children in representative Head Start programs. Many studies, for example, focus exclusively on African-American children.

Head Start is also said to be associated with reductions in grade repetition, high-school dropout rates, and teen pregnancies, and with improvements in children's medical care and health status (cf. Children's Defense Fund, 1992). The most widely cited evidence in support of these longer-term benefits of Head Start actually comes from experimental studies of model preschool programs such as the Perry Preschool Project or the Tennessee Early Training Project. These programs were funded at higher levels, involved more intensive interventions, and had better-trained staff than the typical Head Start program. For example, the Perry Preschool Project was funded at a rate of about $6,000 per child (almost twice that of the average Head Start program). Twenty years after the program, researchers found that the "treatments" were more likely to graduate from high school, had fewer pregnancies per female child, and had lower crime rates. However, the study involves a very small sample of 58 treatments and 65 controls, and many differences (such as the rate of teen pregnancy and the rate of violent crime) are not statistically significant (John R. Berrueta-Clement et al., 1984).

In summary, despite literally hundreds of studies, the jury is still out on the question of whether participation in Head Start has any lasting beneficial effects.

II Methods

The key empirical problem facing us is that, as we will see below, children are not randomly selected into the Head Start program. The program guidelines require that 90 percent of participants must be from families living below the federal poverty line although, in practice, 95 percent of children served in 1992 were poor (U.S. Department of Health and Human Services, 1993). In addition to being poor, Head Start children may also be disadvantaged in other observable ways. Estimates that do not take account of these differences are likely to underestimate the beneficial effects of the program. We will, therefore, examine the impact of Head Start on child well-being conditional on an array of observable mother and child characteristics.

The economic model of the family (Gary Becker, 1981) suggests that families choose whether or not to make the effort necessary to enroll their children in Head Start or other preschools on the basis of the expected returns from that investment. Families who find this investment worthwhile may make other unobserved investments in the child's human capital. In this case, studies that do not take account of unobserved differences between families may overestimate the beneficial effects of Head Start.

At many sites, there are fewer places than child applicants, and so participant selection will also reflect the choices made by program administrators. There are over 1,300 Head Start programs (Cheryl Hayes et al. 1990), all administered at the community level, and there is a good deal of heterogeneity, in their management and quality and in the interpretation of the federal guidelines (U.S. Department of Health and Human Services, 1993). Remarkably little is known about the selection practices used by administrators, although Ronald Haskins (1989) cites evidence that local staff tend to select the most disadvantaged children to participate in Head Start. Similar evidence on selection procedures is suggested by Lee et al. (1990). Unlike most adult training programs, evaluation is not based on child performance in the program, and so there is little incentive to cream off the more able applicants. In any case, whatever the mechanism underlying participant selection by administrators, estimates of the effects of Head Start that do not take this process into account may be biased.

In order to control for unobserved characteristics correlated with selection into the program we estimate models with fixed effects for each household. These models control for constant characteristics of households, including permanent income, maternal education, and other measures of (unobserved) family background and tastes. If it is primarily these constant factors that determine participation in Head Start, then fixed-effects models will provide unbiased estimates of the true program effects.

However, there may also be child-specific factors that affect participation. If, for example, parents wished to maximize the sum of their offspring's lifetime utility, then they might choose to enroll more able children in Head Start. On the other hand, if they seek to equalize outcomes, they might enroll the least able child. In the first case, fixed-effects estimates would provide an overestimate of the impact of Head Start, while in the latter case, they would yield an underestimate.

There are two other reasons why the inclusion of household fixed effects could bias estimated program effects toward zero. First, it is well known that in the presence of measurement error, differencing can result in "throwing the baby out with the bath water," since much of the true "signal" may be discarded while the "noise" remains.

Second, in the fixed-effects models the effects of Head Start are identified using the subset of households in which some children attended Head Start while others did not. If there are any spillover effects of Head Start from one sibling to the other, then the difference between the two siblings will be an underestimate of the true pro-gram effect. Spillover effects may be important because a child teaches his or her sibling something learned in Head Start, because the parent gains access to a service that is of benefit to both children, or because the parent makes compensating investments in the non-Head Start child.

In order to gain an understanding of the importance of the potential biases in the fixed-effects estimates due to child-specific factors, and spillover effects, we compare fixed-effects estimates of the effects of participation in Head Start to fixed-effects estimates of the effects of enrollment in other preschools. The decision to enroll a child in some other kind of preschool is also properly treated as a choice. As is the case for Head Start, fixed-effects estimates of the impact of other preschools will be unbiased if there are no unobserved child-specific characteristics that affect this choice, and no spillovers.

If the child-specific factors or spillovers bias the estimated coefficients on Head Start and on preschool in the same way, then the difference between the estimated coefficients will be accurately estimated, even if the individual coefficients are not. For example, suppose that parents send favored children either to Head Start or to preschool, depending on their means, and keep other children at home. In this case the fixed-effects estimates of Head Start and other preschools will both be biased upward. But the estimated difference between the effects of Head Start relative to no preschool and the effects of other preschools relative to no preschool will be subject to less bias.

We show below that, for several of our outcome measures, the fixed-effects estimates of the effects of Head Start exceed those of enrollment in other preschools. Still, there are two possible ways in which these results could be driven by the biases discussed above. First, it could be the case that children who attend either kind of preschool are systematically more favored or more able than their siblings and that the gap in ability between Head Start children and their stay-at-home siblings is greater than the gap between other preschool children and their siblings. Second, spillover effects could be greater within families in which a subset of children attend other preschools than within families with a subset of children attending Head Start.

It is difficult to rule out the possibility that the degree of parental favoritism is greater in households with some children who attend Head Start than in households in which some children attend preschool. However, we do not find any evidence consistent with the view that Head Start children are favored. For example, relative to their siblings, they are no more likely to be taken to the doctor in the first three months of life, and they score no higher on the "recognition of body parts" test, a test that was administered to sample children before they were age-eligible to attend Head Start. Moreover, we will discuss evidence below which suggests that preschool children may actually be more favored relative to their siblings than Head Start children, in which case the difference between the estimated effects of Head Start and preschool in the fixed-effects models provides a lower bound on the true difference.

Finally, the potential for spillover effects may be greatest in the most disadvantaged households and among children in programs like Head Start that make explicit attempts to improve parenting skills. In this case, Head Start effects will be underestimated relative to the effects of other preschools in the fixed-effects models. Spillovers are also likely to accrue to younger siblings, and we explicitly investigate this issue.

III. Data Description

The National Longitudinal Survey of Youth (NLSY) began in 1979 with 6,283 young women who have been surveyed annually ever since. As of 1990, these women were aged 25-32 and had given birth to over 8,500 children. In 1986, the NLS began a separate survey of the children of the NLSY, the National Longitudinal Survey's Child-Mother file or NLSCM. The second and third waves of the NLSCM were undertaken in 1988 and 1990. In these two waves, mothers were asked whether their children had ever participated in Head Start. For this study, data on children and their mothers from all three waves of the NLSCM have been combined with information about the mother drawn from each wave of the NLSY. Attention is restricted to children aged 3 and older, and since the fixed-effects estimates are based on sibling comparisons, the sample includes only children who have at least one sibling over three years old. These rules result in a sample of nearly 5,000 children.

It is important to note that the original NLSY oversampled the poor, and so a relatively large proportion of the sample children-about one-fifth-participated in Head Start. In addition, due to oversampling there are large enough numbers of African-Americans to allow separate examination of this group.

Table 1-Child Outcome Measures

Measure Age group Comments

PPVT score 4 + Only measured once per child. Percentile scores based on nationally accepted norms for age and gender are used. Measures taken while a child was in preschool or Head Start are not used.

Absence of grade 10+ "Has your child repeated any grades repetition for any reason?" Coded 1 if the mother answered no in both 1988 or 1990, and zero otherwise. Not asked in 1986.

Measles shot all Had child had a shot as of 1990?

Height-for-age all Asked in 1986, 1988, and 1990. The measure taken closest to the child's fifth birthday is used.

A. Child Outcomes

We focus on four measures of child outcomes. The first pair are indicators of academic performance: the Picture Peabody Vocabulary Test (PPVT) score and whether the child has progressed through school without repeating a grade. The second pair of outcomes are related to child health: whether the child has been immunized for measles, and height standardized by age and gender using national norms (height-for-age). Table 1 provides details about the coding of these variables. Each row shows the measure, the age group for whom the measure was recorded, and some additional comments.

The relationship between test scores and future wages has received considerable attention from economists. In his summary of this literature, Eric Hanushek (1986 p. 1152) concludes that, in most studies, "years of schooling and measures of cognitive ability exhibit independent effects on earnings." Unfortunately, the majority of these studies focus on the scores of high-school students rather than on those of young children. However, Richard Murnane et al. (1993) find that a high-school senior's mastery of skills taught no later than the 8th grade (as measured by achievement on standardized tests) is an important determinant of future wages.

While there is some evidence that test scores predict future schooling and labor-market outcomes, the relationship is certainly not one-to-one. For example, developmental psychologists emphasize that a positive self-image and appropriate socialization may also contribute to scholastic success. Thus, the absence of grade repetition is examined as a second, more direct measure of academic performance.

Academic performance in early grades has been shown to be a significant predictor of eventual high-school completion (Atlee L. Stroup and Lee N. Robins, 1972; Dee N. Lloyd, 1978; Byron Barrington and Bryan Hendricks, 1989; Robert Cairns et al.. 1989; James Grissom and Lorrie Shepard, 1989; Margaret Ensminger and Anita Slusarcick. 1992). The relationship between high-school completion and wages is well-established: most studies find that an additional year of high school is associated with an 8-percent increase in lifetime wages (see Joshua Angrist [1990] for a recent estimate). High-school graduates are also less likely to be unemployed (James Markey. 1988). Educational attainment has also been shown to be associated with improvements in health (Michael Grossman, 1973) and job satisfaction (Robert Michael, 1982; Robert Haveman and Barbara Wolfe, 1984). These results suggest that by improving performance in early grades. Head Start participation could translate into a significant increase in the probability of graduating from high school with attendant improvements in future wages and employment probabilities.

As discussed above, in addition to early childhood education, the Head Start program provides a broad range of health-care services. Specifically, Head Start guidelines require that each child be given a physical examination; an assessment of immunization status; a growth assessment; vision, hearing, and speech tests; a hemoglobin or hematocrit test (for anemia); and a tuberculin skin test. Head Start centers are also required to screen for sickle-cell anemia, lead poisoning, and parasitic infection, if these problems are common in the community. The NLSCM data only allow us to assess immunization status, and growth (as discussed below), but given the guidelines, it is not unreasonable to suppose that children who gain access to immunization services are also more likely to gain access to at least some of the other required health services. In this case, immunization can be viewed as a marker for access to a bundle of important health services.

Head Start program performance standards also state that "every child in a part-day program will receive a quantity of food in meals... and snacks which provides at least 1/3 of daily nutritional needs... (Head Start Bureau, 1992 p. 40). Poor children are at much greater risk of nutritional deficiencies than other children. For example, 21 percent of 1-2-year-old children in low-income households suffer iron anemia compared to 7 percent of 1-2-year-olds from higher-income households (Barbara Devancy et al., 1989). These deficiencies have been linked to short attention spans, lethargy, impaired immune status, and growth retardation.

With our second measure of child health, we place the spotlight on nutrition. Height-for-age is an indicator of both nutritional status and health, and it captures the effects of longer-term deprivation. It has been profitably used in the economic history and development literatures (see for example Robert Fogel [1986], Reynaldo Martorell and Jean-Pierre Habicht [1986], and the review in John Strauss and Thomas [1995]). Many readers may be surprised to find that even in as rich a society as the contemporary United States, poor children are at risk of stunting, defined as low height-for-age. Data from the second National Health and Nutrition Survey (National Center for Health Statistics, 1981) indicate that 15 percent of poor female children 2-5 years old are below the fifth percentile of height-for-age. The corresponding figure for males is 11 percent.

Since child growth varies systematically with age and gender, height is standardized following guidelines from the National Center for Health Statistics (1976). Each child in the sample is compared with the median child in a population of well-nourished white children of the same age and gender in the United States, and the sample height-for-age expressed as a percentage of this median. However, given evidence of systematic deviations from the standards in populations of poor children, we use the measure of height taken closest to the child's fifth birthday in order to compare siblings of approximately similar ages.

B. Characteristics of Head Start and Other Children

The characteristics of Head Start children, other preschoolers, and all other children are presented in Table 2, distinguishing whites from African-Americans. Neither Head Start participants nor enrollees in other preschools are random samples of children: the probability of attending Head Start declines with income, whereas the probability of attending other preschools rises with permanent income. For example, among all children living in house holds in the bottom quartile of the permanent-income distribution, nearly 30 percent have attended Head Start, whereas only 15 percent attended other preschools. In the top quartile, 40 percent of children attend other preschools and 4 percent attend Head Start. Slightly over half the children in the sample never attend any preschool, and that fraction is essentially constant across the income distribution. This suggests that the mechanism governing selection to Head Start is quite different from that underlying selection into other preschools, or even into no preschool.

Table 2 shows that, in addition to lower average levels of permanent income, Head Start children are disadvantaged in most other observable respects. Relative to children who attended other preschools, children who attended Head Start have mothers and grandmothers who are less educated, and who had lower scores on the Armed Forces Qualification Test (AFQT), a measure of human capital. These differences between Head Start and other preschool children are all statistically significant for both whites and African-Americans, although the gaps are substantially larger among whites. For example, the difference in maternal education between white children in Head Start and white children in other preschools is 1.6 years, while the difference is only 0.8 years among African-Americans. The major exception to this generalization is that the mothers of African-American Head Start children are as tall as the mothers of other African-American children, while white mothers of Head Start children are shorter than other white mothers. White Head Start children also tend to be disadvantaged relative to children who attended no preschool, though the gaps are smaller than those between the Head Start and preschool groups. Among African-Americans, however, the only significant difference is in income: in all other observable respects, Head Start children are no worse off than their peers who attended no preschool.

Finally, Table 2 shows that, relative to whites, and controlling for preschool status, African-American mothers of Head Start children are actually better educated that comparable white mothers, although they tend to live in lower-income households. However, the AFQT scores of African-American women are much lower than those of whites, a fact that is true throughout the income distribution and suggests that AFQT measures more that native "ability."

Table 2-Characteristics of Mothers and their Children: Means and Standard Errors

Whites African-Americans

Characteristics All Head Preschool Neither All Head Preschool Neither Start Start

Mother:

Permanent 26.12 16.89 32.73 24.08 17.26 15.04 21.29 16.55 household income (1990 (0.26) (0.39) (0.52) (0.30) (0.29) (0.38) (0.75) (0.42) $1,000's)

Human capital

Education 11.70 10.91 12.48 11.37 11.84 11.64 12.48 11.62

(0.04) (0.09) (0.06) (0.05) (0.05) (0.07) (0.09) (0.07)

AFQT score 0.83 0.58 1.01 0.78 0.43 0.37 .055 0.42

(0.01) (0.02) (0.02) (0.01) (0.01) (0.02) (0.02) (0.02)

Height 63.85 63.42 64.06 63.83 64.01 64.12 64.18 63.83 (inches)

(0.04) (0.12) (0.07) (0.06) (0.07) (0.11) (0.14) (0.11)

Grandmother's 9.81 8.68 10.69 9.51 10.02 9.74 10.18 9.77 education (0.06) (0.15) (0.09) (0.08) (0.07) (0.11) (0.13) (0.11)

Number of 4.03 4.68 3.74 4.58 5.45 5.68 4.97 5.55 Maternal Siblings (at (0.05) (0.13) (0.07) (0.07) (0.09) (0.15) (0.17) (0.13) age 14)

Child

Age in 99.18 115.04 94.27 98.30 107.4 119.07 98.57 104.72 Months, 1990 (0.68) (1.78) (1.01) (0.99) (1.09) (1.18) (2.00) (1.73)

First Borna 0.47 0.50 0.56 0.41 0.44 0.47 0.47 0.39

(0.01) (0.02) (0.01) (0.01) (0.01) (0.02) (0.03) (0.02)

Maleb 0.49 0.47 0.48 0.49 0.51(0.01) 0.48 0.55 0.52

(0.01) (0.02) (0.01) (0.01) (0.02) (0.03) (0.02)

Number of 3,285 450 1,149 1,686 1,502 477 376 649 Children:

Sample 100 14 35 51 100 32 25 43 proportions:

Notes: Standard errors are given in parentheses. Maternal education is measured as highest grade attained. The AFQT score is age-standardized. The number of maternal siblings is the number when the mother was age 14.

aDummy variable = 1 if first born.

bDummy variable = 1 if male.

C. Parental Favoritism? Evidence from Within-Family Income Differences As discussed above, the fixed-effects models estimated below are identified using the subset of families with at least one child who attended Head Start and at least one who did not. Similarly the effects of preschool attendance are identified using the subset of children in which at least one child attended preschool and at least one did not. Table 3 focuses on the within-family income changes that are associated with participation in Head Start and other preschools.

Panel A of Table 3 reports, for children who attended Head Start, other preschools, or no preschool (in the columns), the percentage with siblings who attended Head Start, other preschools, or no preschool (in the rows). For example, the entry in the upper left corner of the

Table 3-Characteristics of Children and Their Siblings by Type of Preschool Attended

A. Percentage of Children and Siblings by Type of Preschool Attended

White child attended: African-American child attended:

Sibling Head Preschool Neither Head Preschool Neither attended Start Start

Head Start 41.3 5.7 10.9 57.1 18.2 19.6

Other 15.5 61.8 22.4 14.2 50.2 17.1 Preschool

Neither 43.2 32.6 66.7 28.6 31.7 63.3

Total: 100 100 100 100 100 100

Sample 310 848 1,230 329 259 480 size:

B. Income by Type of Preschool Attended by Child and Sibling: Means and Standard Errors

Whites African-Americans

Row Child Sibling Permanent Income Permanent Income at attended attended income at age 3 income age 3

1 Head Start Head 17.36 14.17 13.76 11.4 Start

(0.79) (1.11) (0.57) (0.81)

2 preschool preschool 34.23 34.81 24.44 23.27

(0.83) (1.54) (1.71) (4.3)

3 neither neither 23.53 20.32 16.17 13.73

(0.40) (0.59) (0.53) (0.73)

4 Head Start neither 16.29 13.18 16.9 14.89

(0.66) (0.77) (0.99) (1.41)

neither Head 13.11 13.91 Start

(1.06) (1.85)

5 preschool neither 30.07 28.32 18.26 17.33

(0.78) (1.14) (1.21) (1.84)

neither preschool 21.92 9.77

(1.28) (1.24)

6 Head Start Preschool 19.80 14.92 19.51 17.32

(1.46) (1.91) (1.31) (2.03)

preschool Head 19.65 20.19 Start

(2.90) (2.62)

All 26.12 23.35 17.5 15.02 children:

(0.30) (0.48) (0.35) (0.66)

Note: Standard errors are reported in parentheses.

table indicates that 41 percent of white children who attended Head Start had a sibling who also attended Head Start, and therefore, 59 percent had a sibling who did not. In the fixed-effects models, only the latter group is used to identify the effects of Head Start.

Of these 59 percent, the vast majority (about three-quarters) did not attend any preschool. Thus, fixed-effects estimates of the impact of Head Start will be based largely on within-family comparisons of children in Head Start with siblings who did not attend any preschool. The converse is also true: families with at least one child in preschool and at least one child not in preschool were unlikely ever to have had a child in Head Start. Estimates of the effects of Head Start and other preschools are therefore based on largely non-overlapping samples of families. This result is important because it facilitates the comparison of Head Start effects to the estimated effects of attending other preschools.

Panel B of Table 3 presents the means and standard errors of two measures of income for each type of sibling pair. Permanent income (which is family-specific) is reported in the first column, while income at the time the child was three years old is reported in the second. Income at age 3 is relevant since this is the time when most children would enter Head Start or some other preschool. Rows 1-3 confirm that, relative to children who attended other preschools or no preschool, Head Start children are disadvantaged both in terms of permanent income and income at a point in time.

A second fact, which is apparent from row 4 of Table 3, is that there is little within-family difference in household income at the time the child was age 3 between Head Start children and those who never went to preschool, In contrast, rows 5 and 6 indicate that transitory income is associated with within-family movements between other preschool and no preschool, and also between Head Start and other preschool The within-family gap between preschool and no-preschool children is about $6,000 among whites and $8,000 among African-Americans. Similarly, the within-family gaps between other-preschool and Head Start children are $5,000 and $3,000 for whites and African-Americans, respectively.

These results show that, when family income rises, parents are more likely to send age-eligible children to preschool. Assuming that parents want to do what is best for their children, but are constrained by income, this finding suggests that a favored child would be more likely to be sent to preschool, other things being equal. We do not find any similar pattern for Head Start. Hence, there is some evidence consistent with the view that preschool children are actually more favored relative to their stay-at-home siblings than Head Start children, which implies that the difference between the estimated effects of Head Start and of preschool in the fixed-effects models discussed below may be an underestimate of the true Head Start premium.

IV. Estimation Results

Tables 4 and 5 present regression estimates of the effects of participation in Head Start and other preschools on the four child outcomes. In order to highlight the importance of controlling for observed and unobserved family-specific effects, three sets of estimates are presented in each case. "Unadjusted" ordinary least-squares (OLS) estimates [in columns (i)-(iii)] do not control for any observable covariates: this baseline shows the sample means. "Adjusted" OLS estimates [in columns (iv)-(vi)] do control for mother- and child-specific observables. Fixed-effects estimates [in columns (vii)-(ix)] also control for all unobserved time-invariant mother-specific effects in addition to child-specific observables.

All the regressions are estimated separately for whites and African-Americans; to facilitate comparisons between the two groups, difference between the estimated coefficients are reported in the third column in each panel. In each regression, the excluded category is children who did not attend preschool. The F statistic for the test that the estimated 'difference-in-difference" between Head Start and other preschool children is zero is reported just below each panel of estimates (along with the associated p value).

The observables in the "adjusted" OLS regressions include child age, gender, and whether the child was the first born, (log) household permanent income, the mother's education, her AFQT score, her height, the number if siblings in the mother's household when she was age 14, and the education of the maternal grandmother. The fixed-effects models include child age, gender, and whether the child is the first born, as sell as household income at the time the child was age 3.

Table 4-Effect of Participation in Head Start and Preschool on PPVT Score and Absence of Grade Repetition

OLS - unadjusted OLS - adjusted Mother fixed effects

Variable White African-American Difference White African-American Difference White African-American Difference (i) (ii) (iii) (iv) (v) (vi) (vii) (viii) (ix)

A. Dependent Variable: PPVT Score

Head Starta -5.621 1.037 -6.658 -0.383 0.739 -1.122 5.875 0.247 5.628

(1.570) (1.223) (1.990) (1.453) (1.135) (1.844) (1.520) (1.358) (2.038)

Other 9.077 2.007 7.070 1.679 -0.790 2.469 1.173 0.615 0.557 preschoolb (1.275) (1.481) (1.955) (1.171) (1.311) (1.759) (1.296) (1.296) (1.833)

Constant 31.512 13.762 17.749 -106.706 -49.21 -57.505 . . .

(0.783) (0.823) (1.136) (16.306) (15.846) (22.737)

F 75.38 0.40 36.22 1.56 1.21 2.77 7.45 0.06 4.81 (Head [0.00] Start [0.53] [0.00] [0.21] [0.27] [0.10] [0.01] [0.81] [0.03] = preschool)

F (all 43.62 0.99 133.49 71.51 15.70 79.78 3.75 3.13 4.31 covariates) [0.00] [0.37] [0.00] [0.00] [0.00] [0.00] [0.00] [0.00] [0.00]

R2 0.03 0.01 0.14 0.27 0.19 0.34 0.73 0.68 0.75

Sample 2,319 1,158 3,477 2,319 1,158 3,477 2,319 1,158 3,477 size

B. Dependent Variable: Probability Never Repeated Grade

Head Starta -0.035 -0.010 -0.025 0.004 0.000 -0.004 0.473 0.008 0.465

(0.058) (0.061) (0.084) (0.061) (0.064) (0.088) (0.122) (0.098) (0.158)

Other 0.029 -0.069 0.098 -0.005 0.100 0.095 0.061 0.163 -0.102 preschoolb (0.062) (0.085) (0.104) (0.063) (0.088) (0.106) (0.099) (0.125) (0.158)

Constant 0.654 0.537 0.118 0.487 0.049 0.572 . . .

(0.031) (0.043) (0.052) (0.810) (0.882) (1.191)

F 0.76 0.47 1.20 0.02 1.30 0.61 8.40 1.22 8.05 (Head Start [0.38] [0.49] [0.27] [0.90] [0.26] [0.44] [0.01] [0.27] [0.01] = preschool)

F (all 0.39 0.34 2.82 2.50 1.15 2.21 3.57 1.26 2.35 covariates) [0.68] [0.72] [0.02] [0.00] [0.32] [0.00] [0.00] [0.28] [0.01]

R2 0.01 0.01 0.01 0.08 0.05 0.08 0.62 0.59 0.61

Sample 414 314 728 414 314 728 414 314 728 size

Notes: Standard errors are reported in parentheses below the coefficients; p values are given in brackets below the F statistics. Variance-covariance matrices were estimated by the method of infinitesimal jackknife for PPFT scores. OLS-adjusted regressions include controls for child age, gender, and whether first born, (log) household permanent income, mother's education, mother's AFQT score, mother's height, number of siblings when the mother was age 14, and grandmother's education. Fixed-effect models include controls for child age, gender, whether first born, and household income at age 3.

aDummy variable = 1 if participated in Head Start

bDummy variable = 1 participated in other preschool.

A. Measurers of Academic Performance

The first three columns of panel A in Table 4 indicate that the PPVT scores of white children are, o average, about twice those of African-American children. In part, this is a reflection of the fact that whites live in higher-income households than African-Americans. But that is only part of the story since nonparametric estimates indicate that white children have higher PPVT scores at all income levels (Currie and Thomas, 1993).

Within racial groups, white children who attended other preschools or no preschool tend to score better, on average, than Head Start children. For example, white Head Start children score an average of 5 percentile points lower on the PPVT than white children who did not attend preschool and 15 percentile points lower than whites who attended other preschools. Both of these differences are statistically significant. In contrast, there are no statistically significant differences among African-Americans.

Table 5-Effect of Participation in Head Start and Preschool on Measles Immunization and Height for Age

OLS - unadjusted OLS - adjusted Mother fixed effects

Variable White (i) African-American Difference White African-American Difference White African-American Difference (ii) (iii) (iv) (v) (vi) (vii) (viii) (ix)

A. Dependent Variable: Probability of Measles Immunization

Head Starta 0.152 0.167 -0.015 0.030 0.072 -0.043 0.082 0.094 -0.011

(0.025) (0.026) (0.037) (0.019) (0.020) (0.028) (0.030) (0.033) (0.045)

Other 0.021 -0.018 0.039 0.044 0.003 0.041 0.123 0.050 preschoolb (0.018) (0.029) (0.035) (0.015) (0.022) (0.027) (0.024) (0.034) (0.042)

Constant 0.698 0.714 -0.016 0.256 0.268 0.012 . .

(0.011) (0.017) (0.021) (0.207) (0.280) (0.356)

F 24.85 35.50 1.67 0.48 8.23 6.58 1.42 1.21 (Head Start [0.00] [0.00] [0.20] [0.49] [0.00] [0.01] [0.23] [0.27] [0.11] = preschool)

F (all 19.01 25.30 18.53 240.01 89.48 129.37 3.10 3.27 covariates) [0.00] [0.00] [0.00] [0.00] [0.00] [0.00] [0.00] [0.00] [0.00]

R2 0.01 0.03 0.02 0.45 0.47 0.46 0.69 0.68

Sample 2,829 1,336 4,165 2,829 1,336 4,165 2,829 1,336 size

B. Dependent Variable: Height for Age (Percentage of Median)

Head Starta -0.171 1.024 -1.195 -0.207 0.452 -0.660 0.084 0.549 -0.465

(0.330) (0.382) (0.505) (0.328) (0.364) (0.490) (0.399) (0.540) (0.671)

Other 0.927 0.477 0.450 0.719 0.320 0.393 0.582 0.182 preschoolb (0.265) (0.485) (0.553) (0.264) (0.475) (0.543) (0.318) (0.509) (0.600)

Constant 99.627 100.694 -1.067 63.214 55.666 7.548 99.895 97.708

(0.166) (0.278) (0.324) (4.144) (6.030) (7.318) (2.570) (4.139)

F 9.71 1.32 7.72 6.10 0.08 3.08 1.25 .034 (Head Start [0.00] [0.25] [0.01] [0.01] [0.78] [0.08] [0.26] [0.56] [0.26] = preschool)

F (all 7.54 3.60 12.57 14.03 11.15 13.61 1.95 1.89 covariates) [0.00] [0.03] [0.00] [0.00] [0.00] [0.00] [0.00] [0.00] [0.00]

R2 0.01 0.01 0.01 0.06 0.09 0.08 0.58 0.56

Sample 2,789 1,303 4,092 2,789 1,303 4,092 2,789 1,303 size

Notes: Standard errors are reported in parentheses below the coefficients; p values are given in brackets below the F statistics. Variance-covariance matrices were estimated by the method of infinitesimal jackknife for height-for-age. OLS-adjusted regressions include controls for child age, gender, and whether first born, (log) household permanent income, mother's education, mother's AFQT score, mother's height, number of siblings when the mother was age 14, and grandmother's education. Fixed-effect models include controls for child age, gender whether first born, and household income at age 3.

aDummy variable = 1 if participated in Head Start

bDummy variable = 1 participated in other preschool.

Moving across the columns in panel A in Table 4 shows the importance of controlling adequately for all observed and unobserved family characteristics associated with selection into Head Start. Column (iv) suggests that, among whites, the difference between the PPVT scores of Head Start and other children disappears when observables are controlled.

However, column (vii) demonstrates that when unobserved differences between families are controlled, using mother fixed effects, participation in Head Start is actually associated with a significant 6-percentile-point increase in the PPVT score relative to no preschool, while participation in other preschools has no statistically significant effect on test scores. The gap between the effects of Head Start and other preschools is statistically significant. The difference between columns (iv) and (vii) indicates that, consistent with Haskin's (1989) observations, it is the most disadvantaged white children in terms of unobservables who are selected into the Head Start program. On the other hand, controlling for unobservables has little effect on the estimated coefficient for other preschools, once observable characteristics are included in the model.

The results for African-Americans indicate that selection may be less important for them: there are no statistically significant effects of Head Start or preschool in any of the three specifications. Column (ix) shows that the difference between the Head Start effects for whites and African-Americans is large - nearly 6 points - and statistically significant.

We turn nest to our second measure of academic performance: absence of grade repetition. The first three columns of panel B in Table 4 show that about one-third of white and nearly half of African-American sample children age 10 or older are reported to have repeated a grade. Although white Head Start children are about 20 percent more likely to have repeated a grade than white children who attended other preschools, this difference is not statistically significant. Among African-Americans, the gaps between the different groups of children are even smaller. The OLS estimates in columns (iv)-(vi) also indicate that there are no statistically significant effects of type of preschool on the probability of grade repetition.

However, the fixed-effects estimates, shown in columns (vii)-(ix) indicate that whites who attended Head Start are 47 percent less likely to repeat a grade, relative to their siblings who did not attend preschool. Those who attended another type of preschool are no less likely to have repeated a grade than their siblings who stayed at home. The "difference in differences," that is, the gap between the effect of Head Start and the effect of preschool, is also large (40 percent) and statistically significant (p value = 0.01).

In contrast, attendance at either type of preschool has no statistically significant effect on the probability of grade repetition among African-Americans (although the point estimate of the coefficient on the other preschools is large). Once again, the racial difference in the impact of Head Start is statistically significant.

In sum, after controlling for mother-specific observables and unobservables we find that, for whites, the academic performance of Head Start children is significantly better than that of siblings who stayed at home. In addition, the estimated effects of Head Start are much greater than those of attending other preschools once both observable and unobservable characteristics of families are controlled. Among whites, this difference-in-difference estimate is statistically significant both for PPVT scores and for grade repetition. Among African-Americans, however, the tale is more dismal: neither Head Start nor other preschools is associated with enhanced academic performance.

B. Measurers of Health Status

Table 5 presents the estimated effects of participation in Head Start and other preschools on two measures of health status: immunization probabilities and height-for-age. The first three columns of panel A suggest that both whites and African-Americans are about 15-percent more likely to have had a measles shot if they attended Head Start rather than another preschool. These gaps are statistically significant. There is little difference in these means between the other-preschool and no-preschool children, which is surprising in light of the differences in family background between these two groups. For both racial groups, the difference in differences between Head Start and other preschool children is statistically significant.

Column (iv) shows that, among whites, controlling for observables reduces the effects of Head Start to zero, while the effect of attending other preschools increases slightly and becomes statistically significant. Among African-Americans, the inclusion of observables reduces the Head Start advantage by over half, but it remains significant.

When fixed effects are included [in columns (vii) and (viii)], we find that Head Start is associated with an 8-9-percent higher probability of being immunized among both white and African-American children. Attendance at other preschools is also associated with a higher probability of being immunized. While the estimated coefficient on preschools is greater than the estimated effect of Head Start among whites, the difference is not statistically significant. Among African-Americans, the effect of other preschools is not significantly different from zero, but it is not significantly different from the coefficient on Head Start either. Relative to other preschools then, there is not health-care "premium" associated with Head Start.

The relationship between type of preschool and child height-for-age is presented in panel B of Table 5. The unadjusted OLS estimates [in columns (i) and (ii)] show that white children who attend preschools are significantly taller than other white children, but that African-American children who attend Head Start are taller still. The coefficient on preschool in column (ii) is not statistically significant. However, the hypothesis that Head Start and preschool have the same effect on the height-for-age of African-Americans cannot be rejected with any confidence.

When observables are controlled in column (iv) and(v), the preschool effect among whites is somewhat weaker, but it remains significant. A good part of the difference between columns (i) and (iv) is accounted for by the influence of maternal height, although other measures of maternal human capital (her education) are also statistically significant. This result suggests that height is influenced both by genetic factors and by parental investments in the health and human capital of children. The fixed-effects estimates for whites, in column (vii), eliminate the influence of all shared genetic characteristics as well as all other fixed maternal characteristics; this results in a further weakening of the relationship between preschool and child height, although it remains positive and significant, albeit at a 7-percent level.

Among African-Americans, the inclusion of observable maternal and child characteristics [in column (v)] cuts the positive correlation between Head Start and child height by more than half. It also becomes statistically insignificant. Similarly, column (viii) shows that we do not find any statistically significant effect of either Head Start or preschool when fixed effects are included in the model.

These results suggest that the positive correlation between Head Start and height-for-age among African-Americans that is noted in column (ii) reflects the selection of taller African-American children into the program. This impression was confirmed by estimating regressions of birth weight on participation in the program. Birth weight is highly correlated with future child height-for-age, but it could not possibly be influenced by future participation in Head Start. We found that African-American children who attended Head Start were heavier at birth than African-American children who did not. For whites, however, we did not find any correlation between birth weight and enrollment in Head Start or preschool, so the positive effect of preschool on height-for-age appears to be a genuine program effect.

Thus, in spite of positive effects of attendance at Head Start or other preschools on the utilization of preventive health care, the large nutritional component of the Head Start program, and the fact that other preschools appear to have positive effects on growth of some children, we find not evidence that participation in Head Start has an effect on nutritional and health status as measured by height-for age.

C. Differences in the Effect of Head Start Among Whites and African-Americans

The cognitive effects of Head Start appear to vary dramatically by race, even when selection into the programs is taken into account: Head Start has a smaller effect on the test scores and schooling attainment of African-Americans than on the test scores and academic achievement of whites. Why does race matter?

One hypothesis is that there is heterogeneity in the Head Start programs that serve children of different races. While most programs are in compliance with most standards, slightly over 11 percent of Head Start operators monitored in 1993 were found to be out of compliance with 50 or more of 222 items reviewed, while another 18 percent needed improvement in 26 - 50 areas (U.S. Department of Health and Human Services, 1993). It is possible that African-American children are more likely to be served by inferior programs. Unfortunately, this hypothesis cannot be tested directly, as we have no information about individual programs.

An alternative hypothesis is that the benefits of compensatory education depend both on the program itself and on the child's home background, including, for example, the level of resources at home, as well as the type and quality of school attended after Head Start. To the extent that African-American children come disproportionately from more disadvantaged homes, located in poorer communities, and attend troubled schools, one might expect Head Start to have either smaller initial effects or effects that dissipate more quickly over time.

We begin to address these issues by estimating models that allow the effects of Head Start and other preschool attendance to vary with maternal AFQT and child age. These results are shown in Table 6. All of the models included fixed effects. We do not show results for height-for-age, since there were no significant effects of Head Start (or significant racial differences) to be explained.

Maternal AFQT can be regarded as an index of maternal background or of human capital. It is highly correlated with years of education, as shown in Figure 1, but has the advantage of being a continuous rather that discrete variable. If children from better backgrounds gain more from Head Start or preschool, then the interactions between AFQT and Head Start or preschool will be positive.

The results in columns (i) and (ii) of panel A indicate that the positive effects of Head Start on PPVT increase with AFQT among both whites and African-Americans. However, neither interaction is statistically significant. The interactions between AFQT and preschool are also insignificant. Turning to the absence of grade repetition, column (iv) shows that, among whites, there is a large and statistically significant interaction between Head Start and AFQT: a 10-point increase in the normalized maternal AFQT score reduces the probability of failure among Head Start Children by 8 percent. We do not find any similar effect among African-Americans [column(v)]. Moreover, the differences between whites and African-Americans in the AFQT X Head Start interaction is significant (at the 8 percent level) [column (vi)]. We do not find any significant interactions between preschool attendance and AFQT for either race.

Finally, the results shown in columns (vii)-(ix) indicate that, in the regressions for immunization probabilities, interactions between Head Start and AFQT and between other preschools and AFQT are all positive but not statistically significant. In sum, there is weak evidence that children from better backgrounds, as measured by maternal AFQT, gain more from Head Start, but the interaction is only statistically significant in the regressions for absence of grade repetition among whites.

Interactions between the type of preschool and child age allow us to address the question of whether the effects of Head Start and other preschools persist as the child grows older. These estimates are reported in panel B of Table 6. Columns (i) and (ii) contain one of our most interesting results. Not only is the direct effect of Head Start large, positive, and significant for both whites and African-Americans, but the effect (of nearly 7 percentile points) is essentially identical for both racial groups.

This finding stands in sharp contrast with the results discussed above. In Table 4 we found that Head Start was associated with higher PPVT scores among whites but that African-American children did not enjoy similar benefits. The difference lies in the age interactions while the interactions are always negative, for whites they are small and statistically insignificant, while for African-Americans they are large and significant. Thus, for example, by age 10 African-American children have lost any benefits they gained from Head Start, while 10-year-old white children retain a gain of 5 percentile points. There is no evidence of a similar interaction effect among children who attend preschool.

Our results for African-Americans are thus consistent with those of earlier studies (which tended to be dominated by African-American subjects). When we focus on only young African-American Children, we find clear benefits of Head Start. However, in a sample of African-American children of all ages there is no effect of Head Start. This is because the benefits die out very quickly. In contrast white children experience the same initial gains from Head Start but they retain these benefits for a much longer period.

It is also possible to ask whether the rate at which the benefits of Head Start dissipate among African-Americans depends on the environment at Home. To do this, we have estimated models (not shown) that include "triple interactions" among age, Head Start and maternal AFQT. If children from better backgrounds retain the gains from Head Start longer, then this triple interaction will be positive (offsetting the fact that the beneficial effect declines with age). We

Table 6-Fixed-Effects Estimates of Impact of Head Start and Preschool on Child Well-Being, Including Interactions with Maternal Human Capital and Child Age

Dependent variable: Dependent variable: Dependent variable:

PPVT score probability never repeated grade probability of measles immunization

Variable White African-American Difference White African-American Difference White African-American Difference (i) (ii) (iii) (iv) (v) (vi) (vii) (viii) (ix)

A. Include interactions with AFQT of mother:

Head Starta 4.826 -0.462 5.288 0.123 -0.006 0.130 0.046 0.083 -0.036

(2.136) (1.821) (2.807) (0.186) (0.146) (0.239) (0.047) (0.050) (0.069)

Head Start

X AFQT of 2.032 2.103 -0.072 0.831 0.040 0.791 0.060 0.030 0.029 mother (3.352) (4.810) (5.863) (0.323) (0.316) (0.452) (0.062) (0.099) (0.119)

Other 2.278 -1.300 3.578 0.217 0.210 0.007 0.086 0.048 0.038 preschoolb (2.170) (1.483) (2.628) (0.204) (0.192) (0.281) (0.044) (0.049) (0.067)

Other preschool

X AFQT of -1.396 4.545 -5.941 -0.203 -0.135 -0.068 0.045 0.007 0.038 mother (2.724) (3.764) (4.647) (0.246) (0.419) (0.473) (0.044) (0.062) (0.095)

F (Head 7.72 0.10 3.39 11.48 0.01 5.39 4.04 4.00 0.16 Start and interaction) [0.00] [0.91] [0.03] [0.00] [0.99] [0.01] [0.02] [0.02] [0.85]

F 0.74 0.74 1.04 0.59 0.89 0.02 14.14 1.12 0.87 (Preschool and [0.48] [0.48] [0.35] [0.56] [0.41] [0.98] [0.00] [0.33] [0.42] interaction)

F (all 3.74 3.12 4.29 3.79 0.95 2.26 154.10 80.26 117.00 covariates) [0.00] [0.00] [0.00] [0.00] [0.48] [0.00] [0.00] [0.00] [0.00]

R2 0.73 0.68 0.75 0.63 0.59 0.62 0.69 0.68 0.69

B. Include Interactions with Age of Child:

Head Starta 6.878 6.845 0.033 0.266 0.218 0.048 0.266 0.258 0.008

(2.397) (1.933) (3.080) (0.311) (0.295) (0.429) (0.045) (0.048) (0.067)

Head Starta -0.192 -1.278 1.086 0.025 -0.025 0.050 -0.043 -0.035 -0.008

X age of (0.410) (0.309) (0.513) (0.036) (0.033) (0.049) (0.008) (0.007) (0.011) childc

Other 0.165 2.970 -2.805 0.173 0.726 -0.553 0.128 0.045 0.083 preschoolb (1.832) (1.863) (2.613) (0.350) (0.461) (0.572) (0.031) (0.046) (0.057)

Other preschool 0.264 -0.467 0.731 -0.014 -0.074 0.061 -0.002 0.002 -0.004

X age of (0.362) (0.386) (0.529) (0.041) (0.059) (0.071) (0.006) (0.009) (0.011) childc

F (Head 7.89 8.86 5.26 7.68 0.29 4.78 18.53 15.00 0.48 Start and interaction) [0.00] [0.00] [0.01] [0.00] [0.75] [0.01] [0.00] [0.00] [0.617]

F 0.64 1.27 0.96 0.25 1.69 0.50 13.73 1.21 1.46 (Preschool and [0.53] [0.28] [0.38] [0.78] [0.19] [0.61] [0.00] [0.30] [0.23] interaction)

F (all 3.74 3.19 4.31 2.76 1.17 1.92 160.23 85.57 122.61 covariates) [0.00] [0.00] [0.00] [0.01] [0.32] [0.02] [0.00] [0.00] [0.00]

R2 0.73 0.68 0.75 0.62 0.59 0.61 0.69 0.69 0.69

Notes: Standard errors are reported in parenthesis below the coefficients; p values are given in brackets below the F statistics. The variance-covariance matrix for PPVT models was calculated by the method if infinitesimal jackknife. All models include controls for child age, gender, whether first born, and household income at age 3.

aDummy variable = 1 if participated in Head Start

bDummy variable = 1 participated in other preschool.

cAge of child is expressed as years since age 5.

found no evidence for this hypothesis: the coefficient on the triple interaction was -0.04 with a t statistic of 0.09. To the extent that the maternal AFQT score does capture home background, this suggests that at least part of the racial difference in the benefits of Head Start reflects heterogeneity in program delivery or in the types of schools that whites and African-Americans attend once they leave the program.

Columns (iv)-(vi) of panel B in Table 6 indicate that there are no statistically significant interactions between age and type of preschool in the regressions for absence of grade repetition. In part, this reflects the fact that the question was only asked of children over 10 years old, so there is relatively little variation in the age ranges of the respondents.

Older children who attended Head Start are less likely to have been immunized, as shown in columns (vii)-(ix) of panel B in Table 6. This could be due to recall error, if parents of older Head Start Children tend to forget that a child has been immunized. However, if the result reflects recall error, than one might expect the same pattern among children who went to preschool, and there is no evidence in support of this "forgetting hypothesis" among these children. Thus, it is likely that the result reflects an increasing emphasis on the health-care portion of the Head Start program in recent years.

Since, within families, the firstborn must be the oldest, it may be that differences in the impact of Head Start among children of different ages is picking up a birth-order effect. Adding interactions between type of preschool and whether the child is the firstborn does not affect the inferences discussed above. However, these interactions do provide some information about the extent of spillover to other siblings.

If the benefits of Head Start spill over from older to younger siblings, then in the fixed-effects estimates, the firstborn will appear to have gained the least from the program, and an interaction between Head Start and firstborn will be negative. The point estimates on these interactions are indeed negative for all four outcome measures, and for both races. The interactions are statistically significant in the case of measles shots, and outcome for which information externalities are likely to be very important. These might reflect parental learning about the importance of immunizations or learning about health resources available in the community. Among African-Americans, the Head Start X firstborn interaction is also significantly negative for PPVT scores. In contrast, the evidence for spillovers from older siblings who attended other preschools is weaker. This suggests, that if anything, the difference-in-difference estimates of the effects of Head Start relative to preschool tend to understate the positive impact of Head Start.

V. Discussion and Conclusions

In closing, we offer some observations about the likely importance of the effects we have identified. Participation in Head Start is associated with an increase in the PPVT scores of white children of 5.6 percentile points. Table 4 indicates that the gap in PPVT scores between Head Start children and those who attended other preschools is 15 points. Hence, our results suggest that Head Start closes over one-third of the age gap between children attending the program and their more advantaged peers. Moreover, contrary to many previous studies, we find that this beneficial effect persists at least into adolescence among white children. We also find that whit children over nine years old who attended Head Start are 47 percent less likely to have repeated a grade than other white children. Given that 35 percent of white children who did not attend preschool repeated a grade, this translates into a reduction of 16 percentage points in the probability of repeating a grade. A gain of this size more than closes the gap between white Head Start children and their peers who attended other preschools.

It is difficult to evaluate the long-run impacts of the gains in test scores. As discussed above, previous research indicates that children who perform poorly in early grades are more likely than other children eventually to drop out of school altogether. However, it is not clear to what extent this relationship is causal. Nevertheless, we can take some representative estimates from the education literature and extrapolate using our data. Ensminger and Slusarcick (1992) find that children who received C's and D's in Grade 1 are twice as likely to drop out of school as children who received A's and B's. Assuming that the wage gain to an additional year of high school is 8 percent, that most children would drop out in grade 11, and that the increase in test scores we find would be enough to move a child from a C to a B average, enrolling a white child in Head Start could increase his or her expected future wage by 4 percent.

We are on somewhat firmer ground evaluating the likely effects of reductions in the probability of grade repetition. In a study of more than 140,000 students from three different school districts, Grissom and Shepard (1989) found that students who were retained in grade were 30 percent more likely to drop out of school, even when achievement on standardized tests, socioeconomic status, gender, and ethnicity were controlled. They also found that grade repetition was disproportionately concentrated in early grades, and especially first grade, which means that their findings should be relevant to our sample. Hence, the 16-percentage-point decline in the probability of repeating a grade associated with Head Start could lead to a 5 percent decline in the probability of dropping out of high school among white children.

It is notable that enrollment in other preschools has no significant effects (positive or negative) on test scores or on the probability of grade repetition among white or African-American children. For whites, the differences between the effects of Head Start and those of preschool are statistically significant. Given that children in Head Start are disadvantaged relative to even their own siblings, the fact that Head Start has bigger effects than preschool strongly suggests that our estimates are capturing a genuine effect of the program rather than selection bias.

Turning to the effects on the utilization of health care, and on health status, we find that both white and African-American children are 8-11-percent more likely to be immunized if they attended either Head Start on another preschool than if they attended no preschool. These results are consistent with those surveyed in McKey et al. (1985) because they suggest that children in Head Start are gaining access to preventive health care. Once again, it is difficult to place a value on these services. An upper bound is provided by the average cost of providing outpatient services to an AFDC (Aid for Families with Dependent Children) child covered my Medicaid, or $468 per year in 1990 (U.S. House of Representatives, 1992).

It may be objected that the provision of preventive services under the auspices of Head Start duplicates coverage available to many poor children under the Medicaid program and that, therefore, these additional services have little value. However, only 39 percent of eligible children participate in the Early and Periodic Screening, Diagnosis, and Treatment (EPSDT) component of the Medicaid program (U.S. Department of Health and Human Services, July 1990), and in the District of Columbia less than half of Medicaid-eligible children receive all their immunizations despite the fact that new mothers receive written reminders (Washington Post, 1993). Furthermore, in contrast to the results reported here, we found no evidence that Medicaid coverage increased immunization rates in the NLSCM. Hence, we suggest that the possibility that the Head Start program plays an important role in the provision of preventive services cannot be dismissed out of hand.

Finally, we turn to the $2.2 billion question-is the money spent on Head Start a worthwhile investment, or are there less expensive ways of providing similar benefits? The results for African-American children suggest that the primary long-term benefits of Head Start are in terms of access to health care. Hence, it is appropriate to compare Head Start's price tag of $3,500 per child to the $468 estimate for health services cited above. This comparison suggests that when viewed strictly in terms of lasting benefits provided to children, Head Start programs serving African-American children are not cost-effective. Whether this results reflects inadequacies in these programs, or the limited opportunities available to African-American children after they leave the program, is sure to be a hotly debated question.

In contrast, the results for white children suggest that the potential gains are much larger than the costs, since even a small decline in the high-school dropout rate has the potential to pay for itself in terms of future wage gains. If the factors preventing African-American children from maintaining the gains they achieve in Head Start could be removed, the program could probably be judged an incontrovertible success.

REFERENCES

Angrist, Joshua. "Lifetime Earnings and the Vietnam Era Draft Lottery: Evidence from Social Security Administration Records." American Economic Review, June 1990, 80(3), pp. 313-36

Baker, Paula and Mott, Frank. NLSY child handbook, 1989. Columbus, OH: Center for Human Resource Research, Ohio State University, June 1989.

Barnett, Steven. "Benefits of Compensatory Preschool Education." Journal of Human Resources , Spring 1992, 27 (2), pp. 279-312.

Barrington, Byron and Hendricks, Bryan. "Differentiating Characteristics of High School Graduates, Dropouts, and Non-graduates." Journal of Educational Research, July 1989, 82(6), pp. 309-19.

Becker, Gary. A treatise on the family . Cambridge, MA: Harvard University Press, 1981.

Berrueta-Clement, John R.; Schweinhart, Lawrence J.; Barnett, W. Steven; Epstein, Ann S. and Weikart, David P. Changed lives: The effects of the Perry Preschool Program on youths through age 19. Ypsilanti, MI: High-Scope, 1984.

Bound, John; Jaeger, David and Baker, Regina. "The Cure Can Be Worse Than the Disease: A Cautionary Tale Regarding Instrumental Variables." Mimeo, University of Michigan, 1993.

Breusch, Trevor and Pagan, Adrian. "A Simple Test for Heteroscedasticity and Random Coefficient Variation." Econometrica, September 1979, 47(5), pp. 1287-97.

Bronfenbrenner, Urie. "Is Early Intervention Effective?" in Ellmer Stuening and Marcia Guttentag, eds., Handbook of evaluation research, Vol. 2. Beverly Hills, CA: Sage, 1975, pp. 519-603.

Cairns, Robert; Cairns, Beverly and Neckerman, Holly. "Early School Dropout: Configurations and Determinants." Child Development, December 1989, 60(6), pp. 1437-52.

Children's Defense Fund. The nation's investment in children . Washington, DC: Children's Defense Fund, September 1992.

Consortium for Longitudinal Studies. As the twig is bent: Lasting effects of preschool programs . Hillsdale, NJ: Erlbaum, 1983.

Copple, Carol E.; Cline, Marvin G. and Smith, Allen N. Path to the future: Long-term effects of Head Start in the Philadelphia School District. Washington, DC: Head Start Bureau, U.S. Department of Health and Human Services, 1987.

Currie, Janet. "Welfare and the Well-Being of Children," in Finis Welch and James P. Smith, eds., Encyclopedia of labor economics. New York: Harwood, 1995 (forthcoming).

Currie, Janet and Thomas, Duncan. "Does Head Start Make a Difference?" National Bureau of Economic Research (Cambridge, MA) Working Paper No. 4406, July 1993.

Datta, Louis. "Another Spring and Other Hopes: Some Findings from National Evaluations of Project Head Start," in Edward Zigler and Jeannette Valentine, eds., Project Head Start: A legacy of the war on poverty. New York: Free Press, 1979, pp. 405-32.

Devaney, Barbara; Haines, Pamela and Moffitt, Robert. "Assessing the Dietary Effects of the Food Stamp Program, Vol. 2: Empirical Results." Mathematica Policy Research (Princeton, NJ) Project No. 7665-450-7665-710, 14 February 1989.

Ensminger, Margaret and Slusarcick, Anita. "Paths to High School Graduation or Dropout: A Longitudinal Study of a First-Grade Cohort." Sociology of Education , April 1992, 65(2), pp. 95-113.

Fogel, Robert. "Physical Growth as a Measure of the Economic Well-Being of Populations: The Eighteenth and Nineteenth Centuries," in F. Falkner and J. Tanner, eds., Human growth: A comprehensive treatise , Vol. 3 2nd Ed. New York: Plenum, 1986, pp. 263-82.

Fuerst, J. S. and Fuerst, Dorothy. "Chicago Experience with an Early Childhood Program: The Special Case of the Child Parent Center Program." Urban Education , April 1993, 28(1), pp. 69-96.

Goodstein, Henry A.; Cawley, John F. and Burrows, Will H. The prediction of elementary school failure among high risk children. Storrs: University of Connecticut Press, 1975.

Grissom, James and Shepard, Lorrie. "Repeating and Dropping Out of School," in Lorrie Shepard and Mary Smith, eds., Flunking grades: Research and policies on retention. London: Falmer, 1989

Grossman, Michael. "The Correlation Between Health and Schooling," in Nestor Terleckj, ed., Conference on household production and consumption. New York: National Bureau of Economic Research, 1973, pp. 147-211.

Hanushek, Eric. "The Economics of Schooling: Production and Efficiency in Public Schools." Journal of Economic Literature, September 1986, 24(3), pp. 1141-77.

Haskins, Ronald. "Beyond Metaphor: The Efficacy of Early Childhood Education.: American Psychologist, February 1989, 44(2), pp. 274-82.

Haverman, Robert and Wolfe, Barbara. "Schooling and Economic Well-Being: The Role of Nonmarket Effects." Journal of Human Resources, Summer 1984, 19(3), pp. 377-407.

Hayes, Cheryl; Palmer, John and Zaslow, Martha. Who cares for America's children: Child care policy for the 1990's. Washington, DC: National Academy Press, 1990.

Head Start Bureau. Head Start program performance standards. U.S. Department of Health and Human Services Publication No. ACF 91-31131, Washington, DC: U.S. Department of Health and Human Services, June 1992.

Hebbeler, Kathleen. "An Old and a New Question on the Effects of Early Education for Children from Low Income Families." Educational Evaluation and Policy Analysis, Fall 1985, 7 (3), pp. 207-16.

Horowitz, Frances D. And Paden, L. Y. "The Effectiveness of Environmental Intervention Programs," in Bettye Caldwell and Henry N. Ricciuti, eds., Review of child development research, Vol. 3. Chicago: University of Chicago Press, 1973, pp. 331-402.

Jaeckel, Louis A. "Robust Estimates of Location: Symmetry and Asymmetric Contamination." Annals of Mathematical Statistics, June 1972, 42(3), pp. 1020-34.

Kah n, Alfred and Kamerman, Sheila. Child care: Facing the hard choices. Dover, MA: Auburn House, 1987.

Lee, Valerie: Brooks-Gunn, Jeanne and Schnur, Elizabeth. "Does Head Start Work? A 1-Year Follow-Up Comparison of Disadvantaged Children Attending Head Start, No Preschool, and Other Preschool Programs." Developmental Psychology, March 1988, 24 (2),pp. 210-22.

Lloyd, Dee N. "Prediction of School Failure from Third Grade Data." Educational and Psychological Measurement, Winter 1978, 38 (4), pp. 1193-1200.

Markey, James. "The Labor Market Problems of Today's High School Dropouts." Monthly Labor Review, June 1988, 111 (6), pp. 36-43.

Martorell, Reynaldo and Habicht, Jean-Pierre. "Growth in Early Childhood in Developing Countries," in F. Falkner and J. Tanner, eds., Human Growth: A comprehensive treatise, Vol. 3, 2nd Ed. New York: Plenum, 1986, pp. 241-62.

McKey, Ruth; Condell, Larry; Ganson, Harriet; Barrett, Barbara; McConkey, Catherine and Planz, Margaret. The impact of Head Start on Children, families and communities: Final report of the Head Start evaluation, synthesis and utilization project. Washington DC: CSR, Inc., 1985.

Michael, Robert. "Measuring Non-monetary Benefits of Education: A Survey," in Walter McMahon and Terry Geske, eds., Financing education: Overcoming inefficiency and inequity. Urbana, IL: University of Illinois Press, 1982, pp. 119-49.

Mott, Frank and Quinlan, Stephen. "Participation in Project Head Start: Determinants and Possible Short-Term Consequences." Mimeo, Center for Human Resource Research, Ohio State University, July 1992.

Murnane. Richard; Willett, John and Levy, Frank. "The Growing Importance of Cognitive Skills in Wage Determination." Mimeo, Harvard University, 1993.

National Center for Health Statistics. Growth charts. Washington, DC: U.S. Department of Health and Human Services, 1976.

______. Second national health and nutrition survey. Washington, DC: U>S> Department of Health and Human Services, 1981.

Nelson, Richard and Startz, Richard. "The Distribution of the Instrumental Variables Estimator and Its t-Ratio When the Instrument Is a Poor One." Journal of Business, January 1990, 63(1), Part 2, pp. S125-40.

Shepard, Lorrie and Smith, Mary. "Synthesis of Research on Grade Retention." Educational Leadership, May 1990, 47 (8), pp. 84-88.

Smith, James P; Thomas, Duncan and Karoly, Lynn. "Migration in Retrospect: Evidence on Men and Women in Malaysia." Mimeo, Rand Corporation, 1991.

Staiger, Douglas and Stock, James. "Asymptotics for Instrumental Variables Regressions with Weakly Correlated Instruments." Mimeo, Harvard University, 1993.

Stewart, Ann. "Head Start: Funding, Eligibility, and Participation," in Congressional Research Service Report for Congress. Washington, DC: Congressional Research Service, 22 July 1992.

Strauss, John and Thomas, Duncan. "Human Resources: Empirical Modeling of Household and Family Decisions," in T. N. Srinivasan and Jere Behrman, eds., Handbook of development economics. Amsterdam: North-Holland, 1995, pp. 1883-2023.

Stroup, Atlee L. and Robins, Lee N. "Elementary School Predictors of High School Dropout Among Black Males." Sociology of Education, Spring 1972, 45(2), pp. 212-22.

U.S. Department of Health and Human Services, Health Care Financing Administration. State Medicaid manual, No. 4. Washington, DC: U.S. Government Printing Office, July 1990.

______. Creating a 21st century Head Start: Final report of the Advisory Committee on Head Start quality and expansion. Washington, DC: U.S. Government Printing Office, 1993.

U.S. House of Representatives, Committee on Ways and Means. 1992 green book. Washington, DC: U.S. Government Printing Office, 1992.

Vinovskis, Maris. "Early Childhood Education: Then and Now." Daedalus, Winter 1993, 122(1), pp. 151-76.

Washington Post. "Vaccines Don't Reach Poor Children." 17 June 1993, p. 8.

Washington, Valora and Oyemade, Ura Jean. Project Head Start: Past, present and future trends in the context of family needs. New York: Garland, 1987.

Westinghouse Learning Corporation and Ohio University. The impact of Head Start: An evaluation of the effects of Head Start on children's cognitive and affective development, Vols. 1 and 2. Report to the Office of Economic Opportunity, Athens, HO: Westinghouse Learning Corporation and Ohio University, 1969.

White, Halbert. "A Heteroskedasticity-Consistent Covariance Matrix and a Direct Test for Heteroskedasticity." Econometrica May 1980, 48(4), pp. 817-38.

White, Karl R. "Efficacy of Early Intervention." Journal of Special Education, Winter 1985-1986, 41(2), pp. 401-16.

*Currie: Department of Economics, UCLA, Los Angeles, CA 90024; Thomas: Department of Economics, UCLA, Los Angeles, CA 90024, and RAND, 1700 Main Street, Santa Monica, CA 90407. We thank Joe Altonji, Charlie Brown, Julie DaVanzo, Jon Gruber, Brigette Madrian, participants at the NBER Summer Institute and RAND/UCLA Conference on "Reshaping the Family," and anonymous referees for helpful comments. We also thank Nancy Cole for excellent research assistance. Currie is grateful to the Alfred P. Sloan foundation and to the National Science Foundation for financial support (NSF SES-9122640).

from The American Economic Review. Vol. 85, No. 3. pp. 341-364.