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293 A. Light Economics of Education Review 18 1999 291–309 time-varying nature of the wage benefits associated with high school employment. Third, I hold constant postsecondary schooling attain- ment and post-school work experience, which allows me to interpret my estimates using a standard, human capital framework. Ruhm observes career outcomes 6–9 years after high school, at which time respondents differ dra- matically with respect to their postsecondary schooling and work histories. He omits measures of schooling attainment and post-high school work experience from his set of covariates because they are endogenous, but as a result he cannot separate the productivity-enhancing effects of high school employment from the effects of subsequent schooling attainment and on-the-job train- ing. 3 I eliminate heterogeneity in postsecondary school- ing by limiting my sample to terminal high school gradu- ates, and I control for heterogeneity in post-school, on- the-job training with measures of actual and potential work experience. As noted above, I then contend with the endogeneity of work experience using an instrumen- tal variables approach. A final difference between this study and its prede- cessors is that I explicitly consider the potential trade- off between high school employment and high school achievement. To control for high school achievement in my wage models, I use data on subject-specific credit hours earned by each respondent—information that is available because high school transcripts were collected and coded for a large number of NLSY respondents. Detailed transcript data are indispensable if we wish to assess the effect of high school employment on wages net of its effect on skills being learned contempor- aneously inside the classroom. In particular, these data enable us to investigate the presumption that employed high school students shun academic subjects in favor of such courses as typewriting, auto mechanics, and choir— curricula choices that may leave them with ample free time and even high grade point averages, but with poorer post-school wage earning capabilities than their nonem- ployed counterparts. This premise receives support in a recent study by Eckstein and Wolpin 1998, who use NLSY data to find a small, negative relationship between 3 Ruhm’s approach is akin to identifying the returns to schooling with a wage model that omits post-school experience from the covariates. Because schooling and work experience are strongly, positively correlated, such a model would imply much larger returns to schooling than are found in conventional models. To circumvent this difficulty, Ruhm presents one speci- fication in which the sample is confined to individuals who average at least 1000 h or 26 weeks of work during the period in which earnings are observed 6–9 years after high school. This is only a partial solution, for it still allows considerable variation in work effort within that window, as well as in the preceding years; in addition schooling attainment remains uncontrolled for. high school work effort and the accumulation of credit hours. Neither Ruhm nor Hotz et al. include measures of high school achievement among their regressors, although a number of earlier studies use grade point averages or class rank as outcome measures in assessing the value of high school employment. In the next section I explain how I select the sample of male high school graduates used throughout the study, and I provide a descriptive analysis of these respondents’ characteristics. In particular, I describe the extent of their high school employment experiences and summarize the relationships between high school employment and numerous other characteristics, including high school achievement. In Section 3 I describe the wage models to be estimated, define the covariates, and discuss the estimation technique. Section 4 presents the estimates, and in Section 5 I offer concluding remarks.

2. Data

2.1. Sample selection The data are from the National Longitudinal Survey of Youth NLSY, which began in 1979 with a sample of 12,686 males and females born in 1957–64. Respondents were interviewed annually from 1979 to 1994, at which time the survey became biennial. I use data from inter- view years 1979–91, and I restrict the analysis to a sub- sample of 685 males. Gender differences in high school employment are documented in Michael and Tuma 1984, Light 1995a, and Ruhm 1997, so in this paper I opt to focus exclusively on male workers. Further reductions in sample size are caused primarily by my requirements that a high school transcript data be avail- able for each respondent, b their labor market experi- ences be “observed” from the start of grade 11 onward, and c they receive no postsecondary schooling. In the remainder of this subsection I elaborate on the selection criteria and also describe the NLSY transcript and employment data. 4 In 1980, 1981, and 1983 an attempt was made to col- lect high school transcripts for eligible NLSY respon- dents. Respondents were eligible if they consented to release their high school records, did not attend high schools outside the United States, and were not in the military subsample. 5 In addition, respondents had to 4 Additional information on the data can be found in US Department of Labor 1998 and Light 1995b. 5 The original NLSY sample of 12,686 respondents consisted of a nationally representative subsample n 5 6111, an over- sample of Hispanics, blacks and economically disadvantaged whites n 5 5295, and a military subsample of individuals who were enlisted in the military on or before 30 September 1978 n 5 1280. 294 A. Light Economics of Education Review 18 1999 291–309 graduate from or otherwise exit high school before their transcripts were collected. Although more than 10,000 NLSY respondents were eligible for the transcript collec- tion in one of the three years, completed transcripts were acquired and coded for only 9010 respondents. I make an initial reduction in sample size by eliminating the 6283 female respondents, and also deleting 824 male members of the military subsample and an additional 1150 men for whom transcript data are unavailable. These deletions reduce the sample size to 4429. I delete an additional 1082 men because they did not graduate from high school. Although the relationship between high school employment and the likelihood of graduation is a worthy subject for analysis see D’Am- ico, 1984; Marsh, 1991; Eckstein and Wolpin, 1998, I choose to exclude high school dropouts so I can look at all respondents’ in-school employment experiences for two academic years prior to their school exit. If dropouts were included in the analysis, I would have to contend with the fact that they are legally barred from holding a job for most or perhaps all of their last two years of school. The NLSY asks respondents about their work experi- ences with virtually every employer encountered from January 1978 onward or, for respondents who were not yet age 16 at that date, from age 16 onward. The reported information is used to create week-by-week variables on labor force status and hours worked on all jobs in pro- gress during the given week. 6 To ensure that each respondent’s employment experiences are recorded from the start of grade 11 onward, I delete respondents from the sample if this date precedes January 1978; with few exceptions, all remaining respondents graduate from high school in the spring of 1980 or later. This leads to an additional 1561 respondents being dropped, and reduces the sample size to 1786. I eliminate an additional 192 individuals because their transcripts are incomplete for grade 11 or 12. I require each respondent’s transcript to show at least four courses or four Carnegie credits for grades 11 and 12, where one Carnegie credit represents a year-long course. 7 I also eliminate 27 respondents who fail to report any employ- ment experiences during the 9 years following high school graduation. By observing career outcomes over a 9-year window I am able to identify changes over time in the wage effect of high school work experience. I choose 9 years as my cut-off because it corresponds to Ruhm’s 1997 6–9 year outcome window, and because survey 6 The arrays of weekly data are released as part of the NLSY work history file. 7 As part of the transcript collection effort, courses were assigned three-digit codes identifying their content and credit hours were translated into Carnegie units. This was intended to produce uniformity across schools. attrition reduces the number of respondents seen more than 9 years after their high school graduation date. A small number of respondents drop out of the NLSY prior to reaching the 9-year mark, in which case I simply observe them until their last interview date. The deletion rules described above produce a sample of 1567 male respondents who graduate from high school and whose employment histories are recorded from the start of grade 11 onward. Many of these indi- viduals proceed to attend college and hold college jobs. The intervention of college attendance and employment complicates my efforts to identify the relationship between high school employment and subsequent wages, so I confine the sample to 685 terminal high school graduates—that is, respondents who report no postsec- ondary enrollment during the observation period. NLSY respondents are asked their enrollment status on a month-by-month basis from January 1980 onward and in a more general manner prior to that date, so I can accurately identify even very short postsecondary enrollment spells for the respondents in my sample. I have replicated the entire analysis for the larger sample of 1567 respondents, and I summarize the key differ- ences between the two groups in subsequent sections. 2.2. Sample characteristics In this subsection, I describe the amount of employ- ment experience acquired by the 685 sample members while enrolled in grades 11 and 12. I then segment the sample by high school work intensity and examine dif- ferences across groups in a large number of character- istics, including those related to high school achieve- ment. This descriptive analysis reveals a number of interesting contrasts between individuals who choose dif- ferent levels of high school employment effort, and it sets the stage for the regression analysis presented in subsequent sections. 8 Table 1 describes the distribution of average hours worked per week during the 2 years preceding high school graduation. The 2-year period is broken down into four contiguous segments: the summer before grade 11, the grade 11 academic year, the summer before grade 12, and the grade 12 academic year. To measure average weekly hours of work, I count the total number of hours worked during each interim, and divide by the number of weeks elapsed. The average and modal durations of each academic year and summer are 36 weeks and 14 weeks, respectively. Each respondent’s employment history must be recorded from the onset of grade 11 in 8 Most of the characteristics summarized in this section are used as covariates in the wage model described in Section 3. Details on how the variables are defined and constructed are deferred to Section 3. 295 A. Light Economics of Education Review 18 1999 291–309 Table 1 Distribution of average hours worked per week in high school Percent of individuals Average hours worked per week Summer before Grade 11 Summer before Grade 12 Grades 11 and 12 grade 11 grade 12 27.9 41.6 26.7 29.3 22.8 1–10 37.4 24.8 15.9 20.3 34.7 11–20 14.7 17.4 22.3 20.0 25.1 21 1 20.0 16.2 35.0 30.4 17.4 Mean 12.3 8.5 15.7 13.4 10.3 S.D. 13.1 10.9 14.1 13.2 10.0 Mean among workers 19.5 14.5 21.3 19.0 13.0 S.D. 11.5 10.7 12.3 11.9 9.6 Number of individuals 515 685 685 685 685 order for him to remain in the sample, but employment during the summer preceding grade 11 is unknown for 25 of the sample. Table 1 reveals that many high school juniors and seniors work a substantial number of hours during the academic year. The column titled “Grade 11” reveals that 41.6 of respondents do not work during their junior year of high school, while 24.8 average 1–10 h per week, 17.4 average 11–20 h per week, and the remain- ing 16.2 work more than 20 h per week during the aca- demic year. As one would expect, employment is even more prevalent during the senior year of high school. The column titled “Grade 12” indicates that only 29.3 of sample members do not work during their senior year of high school, while 30.4 average over 20 h per week; the remaining respondents are evenly divided between working 1–10 and 11–20 h per week. The average num- ber of hours worked per week increases from 8.5 in grade 11 to 13.4 in grade 12; among those students who work, the average weekly effort increases from 14.5 h in grade 11 to 19.0 h in grade 12. 9 Table 1 reveals the temporal patterns one expects to see in the employment of young people. In addition to a pronounced rightward shift in the distribution of average hours between the grade 11 and grade 12 academic years, there is also a rightward shift between the summer before grade 11 and the summer before grade 12. Young men are more likely to be employed as they age and, 9 The patterns seen in Table 1 change very little when I use a larger sample of 1567 men that includes college-goers. The only difference is that college-goers are slightly less likely than terminal high school graduates to work very intensively. In grade 12, for example, only 27.8 of the larger sample aver- ages 21 or more hours per week of employment, and the aver- age work effort among workers falls from 19 to 17.7 h per week. conditional on working, tend to increase their hours. However, there is not a monotonic increase in work effort over time, for high school students frequently work intensively during the summer and then cut back on their hours or quit their jobs altogether during the sub- sequent academic year. Nonetheless, it is relatively rare for young men to remain nonemployed throughout their last two academic years of high school. The right-most column of Table 1 shows that only 23 of the sample gains no work experience while enrolled in grades 11 and 12, while the typical student averages 10 h of work per week during this period of time. In Table 2, I categorize each sample member by the average number of weeks worked during the junior and senior academic years 0, 1–10, 11–20, or 21 1 h per week, and summarize the high school transcript data for respondents in each category. I confine my attention to the courses taken in grades 11 and 12, and I group the courses into four aggregate categories: humanities and social studies, mathematics and science, vocational, and all other courses. The five most frequently reported course titles in each category are listed in the note to Table 2. Table 2 reveals a striking difference in the curricular choices of the four “types” of high school students: those who work the most intensively 21 1 h per week take fewer academic courses and far more vocational courses than their counterparts who work moderately or not at all. Focusing first on the top panel of Table 2, we see that high school students who work 0–20 h per week take about 3.8 Carnegie credit hours in the humanities and social sciences, on average, while students who work over 20 h a week average only 3.5 Carnegie units. This statistically significant difference in means of about 0.3 Carnegie units represents roughly 50 fewer hours in the classroom over a 2-year period. Students in the 21 1 employment category also average fewer Carnegie units 296 A. Light Economics of Education Review 18 1999 291–309 Table 2 High school credits and grade point average in each subject area by average hours worked per week in high school Average hours worked per week in grades 11–12 1–10 11–20 21 1 Subject area a Mean S.D. Mean S.D. Mean S.D. Mean S.D. Number of credits taken Humanities and social studies 3.76 1.20 3.86 1.39 3.78 1.62 3.49 b,c 1.30 Mathematics and natural science 0.94 0.88 0.94 0.95 0.81 0.85 0.77 c 0.80 Vocational subjects 3.26 2.09 3.37 2.23 3.94 b 2.25 4.10 c 2.10 Other subjects 2.09 1.47 2.03 1.46 1.88 1.34 1.46 b,c 1.37 All courses 10.04 1.89 10.20 1.99 10.41 1.99 9.82 b 2.03 Percentage of total credits taken Humanities and social studies 38.07 12.47 38.17 12.26 37.48 13.16 35.93 12.12 Mathematics and natural science 9.32 8.44 9.30 9.33 7.67 b 8.11 7.78 c 7.84 Vocational subjects 32.09 19.14 32.53 20.13 37.02 b 19.47 41.66 b,c 19.54 Other subjects 20.52 13.37 20.00 13.98 17.82 b 12.04 14.62 b,c 13.17 Grade point average Humanities and social studies 1.91 0.75 1.87 0.64 1.92 0.67 1.90 0.72 Mathematics and natural science 1.44 1.29 1.45 1.23 1.35 1.22 1.29 c 1.23 Vocational subjects 2.27 1.03 2.13 1.01 2.28 0.97 2.45 0.95 Other subjects 2.22 1.12 2.09 1.16 2.22 1.13 1.86 b,c 1.36 All courses 2.24 0.66 2.17 0.59 2.20 0.60 2.30 0.65 No. observations percentage of 685 143 20.9 245 35.8 170 24.8 127 18.5 a The five most frequently reported course titles in each category, in descending order, are HumanitiesSocial Studies: American History, English III, American Government, English IV; Popular Literature; MathematicsScience: Chemistry I, Algebra II, Physics I, Geometry I, Biology; Vocational: General Work Experience, Typewriting I, Accounting, Automobile Mechanics, Auto Shop I; Other: Physical Education, Health, BandOrchestra, Driver Education, Art I. b The null hypothesis that the difference between this mean and the one in the preceding column is zero is rejected at a 10 signifi- cance level. c The null hypothesis that the difference between this mean and the one in the left-most column is zero is rejected at a 10 signifi- cance level. in mathematics and science courses than their less inten- sively employed counterparts, fewer credits in “other” subjects, and fewer credits overall. At the same time, they tend to take significantly more courses in vocational subjects such as “general work experience” including off-campus internship programs, typewriting, and auto- mobile mechanics. The middle panel of Table 2 shows that students in the 21 1 category devote 42 of their classroom time to vocational subjects, on average, which is far more than the other groups. As indicated by the superscripts in Table 2, the null hypothesis that the mean number of credits for the 21 1 group is different than the nonworkers’ mean is rejected at a 10 significance level for all four subject areas. The bottom panel of Table 2 shows that students who work 21 1 h per week tend to receive lower grades than their nonemployed counterparts in math, science, and “other” subjects, while performing slightly better in their vocational courses. The average grade point average in math and science falls from 1.44 to 1.29 as we read across Table 2, and the difference between the right-most and left-most means is statistically different than zero at a 10 significance level. At the same time, the average grade point average in vocational subjects is almost 0.2 points higher for the most intensive workers than for the nonworkers. These statistics indicate that students tend to receive the highest grades in the subject areas where they take the most courses, presumably because they make curricular choices on the basis of aptitude. Interest- ingly, the grade point average for all courses taken in grades 11 and 12 does not differ significantly among the four “types” of students: the mean, overall GPA is between 2.2 and 2.3 for all four categories. 10 Table 3 extends Table 2 by showing how the four 10 Adding college-goers to the sample produces three changes in the summary statistics: 1 the mean number of credits in humanitiessocial studies and mathscience is higher for all employment categories, 2 the grade point averages are higher in each category, and 3 additional differences in means are statistically significant because of the larger sample sizes, although the overall patterns are identical to what is seen in the reported version of Table 2. 297 A. Light Economics of Education Review 18 1999 291–309 Table 3 Characteristics of sample by average hours worked per week in high school Average hours worked per week in grades 11–12 1–10 11–20 21 1 Mean S.D. Mean S.D. Mean S.D. Mean S.D. High school quality Student–teacher ratio 19.10 3.43 18.65 3.69 19.53 c 3.52 19.28 4.01 Average salary for first-year teachers a 10.78 1.12 10.73 0.82 10.91 c 0.89 10.80 0.98 1 if school has distributive education program 0.59 0.56 0.65 c 0.72 d Ability Score on academic components of ASVAB 60.76 23.40 66.76 c 22.95 73.10 c 22.70 71.77 d 20.46 Score on nonacademic components of ASVAB 89.19 30.63 99.58 c 30.07 107.95 c 30.97 110.59 d 27.92 Family background, demographics 1 if foreign born 0.06 0.03 0.06 c 0.04 Per capita of family income in grade 12 a 3.21 2.52 4.61 c 3.37 5.00 3.38 6.48 c,d 4.22 Number of siblings 4.84 3.15 3.99 c 2.28 3.59 c 2.15 3.83 d 2.99 Mother’s highest grade completed 9.88 2.85 10.68 c 2.42 11.10 c 2.27 10.96 d 2.44 1 if white 0.40 0.57 c 0.67 c 0.71 d 1 if black 0.43 0.32 c 0.24 c 0.17 d 1 if Hispanic 0.17 0.11 0.09 0.12 Market characteristics Area unemployment rate in grade 12 9.02 3.54 9.19 3.67 8.66 c 3.28 9.07 3.95 1 if live in urban area in grade 12 0.71 0.66 0.69 0.71 Post-high school employment, wages Average hours worked per week In first year after high school 18.59 15.10 19.51 c 13.62 27.44 c 14.33 33.61 c,d 12.86 In first 6 years after high school 28.87 12.52 26.60 12.42 31.77 c 12.74 37.93 c,d 10.47 Average hourly wage a 1 year after high school 4.46 1.53 4.54 1.95 4.62 1.98 5.11 c,d 2.10 6 years after high school 5.34 3.26 5.91 5.42 6.12 2.80 7.64 c,d 5.86 After gaining 1 year of post-HS experience b 4.34 1.76 4.63 2.39 4.58 1.91 5.07 c,d 2.13 After gaining 6 years of post-HS experience b 6.04 4.02 6.32 3.23 5.86 2.42 6.94 c,d 3.25 Number of observations Percentage of 685 143 20.9 245 35.8 170 24.8 127 18.5 a In 1982 dollars. All but average hourly wage are divided by 1000. b 1800 h of cumulative, post-high school work experience is defined as 1 year. c The null hypothesis that the difference between this mean and the one in the preceding column is zero is rejected at a 10 signifi- cance level. d The null hypothsis that the difference between this mean and the one in the left-most column is zero is rejected at a 10 signifi- cance level. “types” of individuals differ in terms of their high school, family, and personal characteristics, as well as in their post-secondary employment and wages. The top rows, which summarize characteristics of the respon- dents’ high schools, reveals that typical measures of high school quality student–teacher ratio and average teacher salary do not differ systematically across the four categ- ories. Students who work intensively in high school are neither more nor less likely than their less employed classmates to attend “good” schools. However, their high schools are far more likely to have distributive education programs, which are designed to combine classroom training with internships and other forms of “real world” experiences. Over 70 of the students who average more than 20 h of work per week have access to such pro- grams, while fewer than 60 of the less intensively employed students do so. This correlation is unsurpris- ing, for one would expect distributive education pro- grams to facilitate the entry of high school students into the labor market. Just as Table 2 indicates that high school employment and performance in vocational courses are positively related, the next rows of Table 3 reveal that performance on the Armed Services Vocational Aptitude Battery ASVAB increases systematically with high school work intensity. 11 I sum the raw scores for the general science, arithmetic reasoning, word knowledge, para- graph comprehension, and mathematical knowledge tests 298 A. Light Economics of Education Review 18 1999 291–309 to obtain the “academic” score, while the “nonacademic” score is the sum of the raw scores for the numerical oper- ations, coding speed, auto and shop information, mech- anical comprehension, and electronics information tests. As Table 3 shows, mean scores on both the academic and nonacademic portions of the ASVAB increase sig- nificantly as we move from the nonworkers to the stu- dents who average 1–10 h per week, and again as we move from the 1–10 category to the 11–20 category. The upward trend then levels off, with the two most intensive employment categories exhibiting mean scores that are statistically indistinguishable. Among the family background, demographic, and market characteristics considered in Table 3, a number of interesting contrasts emerge. First, there is a clear, positive relationship between high school employment intensity and per capita family income: students who do not work in grades 11 and 12 come from families with an average, annual income of US3210 per capita, while those who average over 20 h per week have an average, annual, per capita family income of US6480. One explanation for this pattern is that the money earned on jobs held in high school contributes to family income. A more likely explanation is that students who work tend to come from families where one or more parents work continuously throughout the year. Students from such families may learn about employment opportunities from their employed parents or even obtain jobs at their par- ents’ work places. Second, students’ work efforts are also positively correlated with their mothers’ and, although it is not reported in Table 3, fathers’ schooling attainment. Parental schooling is positively correlated with parental employment level and earnings, so this pat- tern is consistent with the preceding one. Third, race and high school employment are strongly related. Among the 143 males who do not work at all during grades 11 and 12, 40 are nonblack, non-Hispanic henceforth referred to as “white”, 43 are black, and the remaining 17 are Hispanic. Among individuals averaging more than 20 h of work per week, 71 are white and only 17 are black. This pattern is consistent with the well known finding that young, black men are more likely than non- blacks to be nonemployed. Such patterns are generally attributed in part to the fact that blacks are concentrated in economically depressed urban areas where jobs are scarce, but Table 3 shows that nonemployed high school males do not differ significantly from others in their tendency to live in urban areas or in locales with above- average unemployment rates. The bottom rows of Table 3 reveal that high school employment intensity is positively related to post-high 11 The ASVAB was administered to virtually all NLSY respondents in the summer and fall of 1980, when the members of my sample were still in high school or had just graduated. school employment. The typical male who averages more than 20 h of work per week during high school works an average of 34 h per week in the following year and 38 h per week in the following 6 years. This is sub- stantially more work effort than is seen among the “inter- mediate” workers and especially the nonworkers, who average only 19 h per week in the year after high school. Individuals who work 21 1 h a week in high school also tend to earn higher wages than their less employed counterparts when a fixed amount of post-graduation time has elapsed. One year after graduation, for example, their average wage is US5.11h, versus about US4.50h for the other groups. There are also statisti- cally significant, but smaller, differences in mean wages among these “types” of students when the amount of actual, post-high school work experience as opposed to time elapsed, or “potential” work experience is held constant.

3. Wage model

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