Empirical model Directory UMM :Data Elmu:jurnal:E:Economics of Education Review:Vol19.Issue2.Apr2000:

221 S.P. Vahey Economics of Education Review 19 2000 219–227 Table 1 Incidence of skill mismatch Attained Required GRADE SOME HIGH COLL BACH POST TOTAL Males n 5 569 GRADE 6.0 2.6 2.8 0.5 0.0 0.0 12.0 SOME 3.3 5.6 6.9 2.3 0.5 0.0 18.6 HIGH 1.4 4.0 8.3 1.8 1.9 0.7 18.1 COLL 2.1 2.6 9.8 12.7 2.3 0.7 30.2 BACH 0.0 0.4 0.7 1.8 9.0 0.9 12.7 POST 0.0 0.0 0.4 0.0 3.2 4.9 8.4 Total 12.8 15.3 28.8 19.0 16.9 7.2 100.0 Females n 5 424 GRADE 4.7 1.4 0.5 0.0 0.0 0.0 6.6 SOME 5.4 6.1 5.4 1.4 0.5 0.0 18.9 HIGH 1.9 1.7 12.7 2.1 0.7 0.0 19.1 COLL 0.5 2.6 13.7 16.7 3.8 0.5 37.7 BACH 0.0 0.7 1.7 1.9 9.4 0.2 13.9 POST 0.0 0.0 0.7 0.2 1.4 1.4 3.8 Total 12.5 12.5 34.7 22.4 15.8 2.1 100.0 The incidence of educational mismatch in the sample is described in Table 1. There are a number of striking features about these data. First, educational mismatch is a common phenomenon; but, the incidence of overeduc- ation males 30, females 32 is greater than the inci- dence of undereducation males 24, females 17. These figures are similar to those based on self-report measures for the U.S. McGoldrick and Robst, 1996 and Britain Sloane et al., 1996. Second, attained schooling is generally within one education level of required schooling; the incidence of skill mismatch outside this interval is small. Third, for both sexes, the peak in required schooling is at the HIGH level, but the peak in attained education is at COLL. Fourth, the distributions of attained and required education are flatter for males; the job market is particularly thin for females in the upper tail. As a result, the estimates for well-educated females should be interpreted with some caution. A number of researchers e.g. Sicherman, 1991; Groot, 1996 have noted that overeducation may be a short-run phenomenon. Entry level employees are often overqualified for their jobs, but go on to use their skills in later life. For the NSCS sample, overeducation is asso- the respondents were asked about the number of years in edu- cation. In others, for example Hersch 1991, the researchers converted the levels to years by making assumptions about the average equivalence between the two measures. The main advantage of using years is that the education variables are con- tinuous; the drawback is that, where a conversion factor is required, it is not job specific. ciated predominately with younger workers. Approxi- mately 57 of males and 33 of females under 26 are overeducated. 5

3. Empirical model

Consider the following earnings equation: lnY 5 PCa 1 REQb 1 OVERg 1 UNDERd 1 e 1 where Y denotes hourly earnings and PC a vector of per- sonal characteristics including a constant. The vector REQ contains one dummy variable for each required education level. The vectors OVER and UNDER contain dummy variables for over and undereducation respect- ively; each variable corresponds to a specific required schooling level. It is, of course, possible to allow a dummy for each combination of attained and required education. Recall from Table 1, however, that required education is rarely more than one education level from attained education. As a result, such a model yields little additional insight. A full list of the variables definitions, means and stan- 5 Tsang and Levin 1985, Tsang et al. 1991, Sicherman 1991, Hersch 1991; 1995 and Sloane et al. 1996 present a variety of evidence suggesting that overeducated workers exhi- bit higher turnover, less on the job training and are less satisfied with their jobs than otherwise identical workers. Unfortunately, the NSCS data contain no information on these variables. 222 S.P. Vahey Economics of Education Review 19 2000 219–227 Table 2 Variable definitions, means and standard deviations Name Definition Males Females Mean SD Mean SD Personal characteristics ANY Annual income 27 782 14 333 16 086 9918 WY ANY per week 532.84 274.89 308.51 190.22 Y WY per hour usually worked 12.98 6.91 9.22 7.55 ln Y Natural log of Y 2.44 0.50 2.04 0.60 EXP Experience in years 20.85 12.87 16.26 11.47 EXP2 EXP squared100 6.00 6.10 3.96 4.84 UNION Union member 5 1; otherwise 5 0 0.51 0.50 0.38 0.48 SEX Male 5 1; female 5 0 1.00 0.00 0.00 0.00 TEN Years of tenure, present employer 10.02 9.04 6.17 6.64 TEN2 TEN squared100 1.82 2.83 0.82 1.67 BIL Bilingual 5 1; otherwise 5 0 0.22 0.41 0.15 0.36 Industry EXTR Extraction, construction 5 1; otherwise 5 0 0.09 0.29 0.03 0.16 MANUF Manufacturing 5 1; otherwise 5 0 0.31 0.46 0.11 0.31 DIST Distribution 5 1; otherwise 5 0 0.18 0.39 0.08 0.28 PUB Public services 5 1; otherwise 5 0 0.24 0.43 0.40 0.49 INFO Information services 5 1; otherwise 5 0 0.05 0.23 0.16 0.36 RET Retail, other services 5 1; otherwise 5 0 0.12 0.33 0.22 0.42 Occupation PROF Professional 5 1; otherwise 5 0 0.18 0.39 0.13 0.34 SEMI Semi-professional 5 1; otherwise 5 0 0.15 0.36 0.16 0.37 SUPER Supervisory 5 1; otherwise 5 0 0.07 0.26 0.04 0.20 SKILL Skilled trade 5 1; otherwise 5 0 0.25 0.43 0.23 0.42 SEMUN Semi and unskilled 5 1; otherwise 5 0 0.34 0.48 0.43 0.50 Location ATL Atlantic 5 1; otherwise 5 0 0.09 0.29 0.10 0.30 QUE Quebec 5 1; otherwise 5 0 0.35 0.48 0.28 0.45 ONT Ontario 5 1; otherwise 5 0 0.32 0.47 0.32 0.47 PRA Prairies 5 1; otherwise 5 0 0.13 0.33 0.21 0.41 BC British Columbia 5 1; otherwise 5 0 0.11 0.32 0.10 0.30 CITY Community 100 000 5 1; otherwise 5 0 0.56 0.50 0.61 0.49 Education EA Attained education in levels 0.40 0.71 0.42 0.70 ER Required education in levels 0.35 0.70 0.21 0.50 AGRADE Attained GRADE 5 1; otherwise 5 0 0.12 0.32 0.07 0.25 ASOME Attained SOME 5 1; otherwise 5 0 0.19 0.39 0.19 0.39 AHIGH Attained HIGH 5 1; otherwise 5 0 0.18 0.39 0.19 0.39 ACOLL Attained COLL 5 1; otherwise 5 0 0.30 0.46 0.38 0.49 ABACH Attained BACH 5 1; otherwise 5 0 0.13 0.33 0.14 0.35 APOST Attained POST 5 1; otherwise 5 0 0.08 0.28 0.04 0.19 REQ vector RGRADE Required GRADE 5 1; otherwise 5 0 0.13 0.33 0.13 0.33 RSOME Required SOME 5 1; otherwise 5 0 0.15 0.36 0.13 0.33 RHIGH Required HIGH 5 1; otherwise 5 0 0.29 0.45 0.35 0.48 RCOLL Required COLL 5 1; otherwise 5 0 0.19 0.39 0.22 0.42 RBACH Required BACH 5 1; otherwise 5 0 0.17 0.37 0.16 0.37 RPOST Required POST 5 1; otherwise 5 0 0.07 0.26 0.02 0.14 Continued. 223 S.P. Vahey Economics of Education Review 19 2000 219–227 Table 2 Continued Name Definition Males Females Education OVER vector OGRADE Overed. req. GRADE 5 1; otherwise 5 0 0.07 0.25 0.08 0.27 OSOME Overed. req. SOME 5 1; otherwise 5 0 0.07 0.26 0.05 0.22 OHIGH Overed. req. HIGH 5 1; otherwise 5 0 0.11 0.31 0.16 0.37 OCOLL Overed. req. COLL 5 1; otherwise 5 0 0.02 0.13 0.02 0.14 OBACH Overed. req. BACH 5 1; otherwise 5 0 0.03 0.18 0.01 0.12 UNDER vector USOME Undered. req. SOME 5 1; otherwise 5 0 0.03 0.16 0.01 0.12 UHIGH Undered. req. HIGH 5 1; otherwise 5 0 0.10 0.30 0.06 0.24 UCOLL Undered. req. COLL 5 1; otherwise 5 0 0.05 0.21 0.04 0.18 UBACH Undered. req. BACH 5 1; otherwise 5 0 0.05 0.21 0.05 0.22 UPOST Undered. req. POST 5 1; otherwise 5 0 0.02 0.15 0.01 0.08 dard deviations are given in Table 2. The dependent vari- able is generated as follows. Respondents were asked to estimate their personal income in 1981 and the number of hours worked per week. Removing those who did not work year round, I calculate the earnings per hour usu- ally worked. If Berg’s proposition is correct, the coefficients on the overeducation dummies should be negative.

4. Results