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>>> import statsmodels.api as sm
>>> model = sm.OLS(y, X).fit()
>>> print(model.summary())
OLS Regression Results
=============================================
Dep. Variable: log_wage R-squared: 0.187
No. Observations: 2814 AIC: 4307.
=============================================
coef std err t P>|t| [0.025 0.975]
----------------------------------------------
const 1.052 0.073 14.380 0.000 0.909 1.196
education 0.089 0.004 20.765 0.000 0.081 0.098
experience 0.005 0.001 8.127 0.000 0.004 0.007
=============================================
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Table 1: Returns to Education — Cross-Sectional and Panel Estimates
| OLS | IV-2SLS | Panel FE | |||
|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | |
| Years of schooling | 0.084*** | 0.076*** | 0.102*** | 0.071*** | 0.068*** |
| (0.004) | (0.004) | (0.011) | (0.005) | (0.006) | |
| Work experience (yrs) | 0.005*** | 0.004*** | 0.005*** | 0.006*** | 0.007*** |
| (0.001) | (0.001) | (0.001) | (0.001) | (0.001) | |
| Experience² / 100 | −0.009* | −0.007 | −0.010* | −0.011** | −0.013** |
| (0.005) | (0.004) | (0.005) | (0.004) | (0.005) | |
| Female | −0.251*** | −0.262*** | −0.274*** | ||
| (0.029) | (0.031) | (0.029) | |||
| Urban | 0.141*** | 0.149*** | 0.162*** | ||
| (0.031) | (0.033) | (0.031) | |||
| Industry FE | No | Yes | Yes | No | Yes |
| Year FE | No | Yes | Yes | Yes | Yes |
| N | 2,814 | 2,814 | 2,814 | 8,442 | 8,442 |
| R2 | 0.234 | 0.284 | 0.219 | 0.198 | 0.241 |
Standard errors in parentheses. *** p<0.001, ** p<0.01, * p<0.05. Dep. var.: log hourly wage. IV instruments education with parent education. Robust SE throughout.
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Table 2: OLS Estimates with Progressive Controls
| Dependent variable: log(wage) | ||||
|---|---|---|---|---|
| (1) Baseline | (2) +Demo. | (3) +Ind. FE | (4) +Region FE | |
| Education | 0.0891*** | 0.0854*** | 0.0823*** | 0.0792*** |
| (0.0063) | (0.0058) | (0.0055) | (0.0054) | |
| Experience | 0.0041** | 0.0039** | 0.0035** | 0.0033** |
| (0.0017) | (0.0016) | (0.0015) | (0.0015) | |
| Female | −0.2964*** | −0.2812*** | −0.2743*** | |
| (0.0358) | (0.0341) | (0.0338) | ||
| Married | 0.0534* | 0.0412 | 0.0389 | |
| (0.0301) | (0.0289) | (0.0287) | ||
| Industry FE | No | No | Yes | Yes |
| Region FE | No | No | No | Yes |
| N | 1,526 | 1,526 | 1,526 | 1,526 |
| R² | 0.159 | 0.213 | 0.241 | 0.258 |
Notes: *** p<0.01, ** p<0.05, * p<0.1. Robust standard errors in parentheses.
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Table 2: OLS Estimates with Progressive Controls
| Dependent variable: log(wage) | ||||
|---|---|---|---|---|
| (1) Baseline | (2) +Demo. | (3) +Ind. FE | (4) +Region FE | |
| Education | 0.0891*** | 0.0854*** | 0.0823*** | 0.0792*** |
| (0.0063) | (0.0058) | (0.0055) | (0.0054) | |
| Experience | 0.0041** | 0.0039** | 0.0035** | 0.0033** |
| (0.0017) | (0.0016) | (0.0015) | (0.0015) | |
| Female | −0.2964*** | −0.2812*** | −0.2743*** | |
| (0.0358) | (0.0341) | (0.0338) | ||
| Married | 0.0534* | 0.0412 | 0.0389 | |
| (0.0301) | (0.0289) | (0.0287) | ||
| Industry FE | No | No | Yes | Yes |
| Region FE | No | No | No | Yes |
| N | 1,526 | 1,526 | 1,526 | 1,526 |
| R² | 0.159 | 0.213 | 0.241 | 0.258 |
Notes: *** p<0.01, ** p<0.05, * p<0.1. Robust standard errors in parentheses.
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Table 3: Summary Statistics
| Mean | SD | Min | Max | N | |
|---|---|---|---|---|---|
| Log hourly wage | 2.643 | 0.712 | 0.541 | 5.263 | 2,814 |
| Years of schooling | 13.12 | 2.784 | 6 | 20 | 2,814 |
| Work experience | 17.84 | 12.35 | 0 | 48 | 2,814 |
| Female | 0.468 | 0.499 | 0 | 1 | 2,814 |
| Married | 0.574 | 0.495 | 0 | 1 | 2,814 |
Data: Current Population Survey (2018–2024). Wage sample restricted to full-time workers aged 25–64.
Table 1: Returns to Education and Labor Market Outcomes
| OLS | IV-2SLS | |||
|---|---|---|---|---|
| (1) | (2) | (3) | (4) | |
| Years of schooling | 0.084*** | 0.079*** | 0.102*** | 0.098*** |
| (0.004) | (0.004) | (0.011) | (0.011) | |
| Work experience (yrs) | 0.005*** | 0.005*** | 0.005*** | 0.005*** |
| (0.001) | (0.001) | (0.001) | (0.001) | |
| Female | −0.285*** | −0.269*** | −0.276*** | −0.262*** |
| (0.030) | (0.030) | (0.031) | (0.031) | |
| Married | 0.084** | 0.079* | ||
| (0.031) | (0.032) | |||
| Urban | 0.154*** | 0.149*** | ||
| (0.032) | (0.033) | |||
| N | 2,814 | 2,814 | 2,814 | 2,814 |
| R2 | 0.234 | 0.256 | 0.219 | 0.239 |
| Adj. R2 | 0.233 | 0.254 | 0.218 | 0.238 |
Standard errors in parentheses. Dependent variable: log hourly wage. IV columns instrument education with parent education. Robust SE in (2)–(4).
*** p<0.001, ** p<0.01, * p<0.05
Table 2: Logistic Regression — Employment Status
| (1) Logit | (2) Logit | |
|---|---|---|
| Years of schooling | 0.182*** | 0.173*** |
| (0.021) | (0.022) | |
| Work experience (yrs) | 0.034*** | 0.031*** |
| (0.005) | (0.005) | |
| Female | −0.847*** | |
| (0.124) | ||
| Married | 0.412*** | |
| (0.131) | ||
| N | 5,000 | 5,000 |
| Pseudo R2 | 0.089 | 0.124 |
| Log-Lik. | −2,912 | −2,801 |
Standard errors in parentheses. Dependent variable: employed (0/1).
*** p<0.001, ** p<0.01, * p<0.05
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Journal of Labor Economics · Vol. 44, No. 2 · 2026
Sarah M. Chen and David A. Rodriguez
Department of Economics, University of Michigan
Abstract
This paper re-examines the returns to education and labor market experience using data from the Current Population Survey (2018–2024). We estimate Mincerian wage equations with progressively richer specifications. Our preferred specification yields a return to education of 8.2 percent per year of schooling. IV estimates using distance to college as an instrument suggest modest upward bias in OLS, consistent with positive selection.
3. Results
Table 1 reports robustness checks using alternative estimators. The IV specification instruments education with distance to the nearest college. The first-stage F-statistic of 42.1 exceeds conventional thresholds for weak instruments. The Heckman selection model addresses potential sample selection, yielding a positive and significant Mills ratio.
Table 1: Returns to Education and Labor Market Outcomes
| OLS | IV-2SLS | |||
|---|---|---|---|---|
| (1) | (2) | (3) | (4) | |
| Years of schooling | 0.084*** | 0.079*** | 0.102*** | 0.098*** |
| (0.004) | (0.004) | (0.011) | (0.011) | |
| Work experience (yrs) | 0.005*** | 0.005*** | 0.005*** | 0.005*** |
| (0.001) | (0.001) | (0.001) | (0.001) | |
| Female | −0.285*** | −0.269*** | −0.276*** | −0.262*** |
| (0.030) | (0.030) | (0.031) | (0.031) | |
| Married | 0.084** | 0.079* | ||
| (0.031) | (0.032) | |||
| Urban | 0.154*** | 0.149*** | ||
| (0.032) | (0.033) | |||
| N | 2,814 | 2,814 | 2,814 | 2,814 |
| R2 | 0.234 | 0.256 | 0.219 | 0.239 |
| Adj. R2 | 0.233 | 0.254 | 0.218 | 0.238 |
Standard errors in parentheses. Dependent variable: log hourly wage. IV columns instrument education with parent education. Robust SE in (2)–(4).
*** p<0.001, ** p<0.01, * p<0.05
The quantile regression at the median yields a somewhat smaller education coefficient of 0.079, suggesting that returns are higher in the upper tail of the conditional wage distribution. Across all three estimators, the gender gap remains large and precisely estimated.
3.2 Progressive Specifications
Table 2 presents our OLS estimates with progressive covariate adjustment. Column (1) reports the baseline Mincerian specification. Columns (2)–(4) add demographic controls, industry fixed effects, and region fixed effects. The return to schooling declines modestly from 8.9 to 7.9 percent.
Table 2: Logistic Regression — Employment Status
| (1) Logit | (2) Logit | |
|---|---|---|
| Years of schooling | 0.182*** | 0.173*** |
| (0.021) | (0.022) | |
| Work experience (yrs) | 0.034*** | 0.031*** |
| (0.005) | (0.005) | |
| Female | −0.847*** | |
| (0.124) | ||
| Married | 0.412*** | |
| (0.131) | ||
| N | 5,000 | 5,000 |
| Pseudo R2 | 0.089 | 0.124 |
| Log-Lik. | −2,912 | −2,801 |
Standard errors in parentheses. Dependent variable: employed (0/1).
*** p<0.001, ** p<0.01, * p<0.05
The gender wage gap is substantial and persistent. The coefficient on Female implies that women earn approximately 27–30 log points less than men across all specifications. The marriage premium is positive but loses significance once we account for industry composition.
3.3 Summary Statistics
Table 3 presents descriptive statistics for the key variables in our analysis. The sample comprises 2,814 observations from the CPS. Mean years of schooling is 13.2 with substantial variation across the sample.
Table 3: Summary Statistics
| Mean | SD | Min | Max | N | |
|---|---|---|---|---|---|
| Log hourly wage | 2.643 | 0.712 | 0.541 | 5.263 | 2,814 |
| Years of schooling | 13.12 | 2.784 | 6 | 20 | 2,814 |
| Work experience | 17.84 | 12.35 | 0 | 48 | 2,814 |
| Female | 0.468 | 0.499 | 0 | 1 | 2,814 |
| Married | 0.574 | 0.495 | 0 | 1 | 2,814 |
Data: Current Population Survey (2018–2024). Wage sample restricted to full-time workers aged 25–64.
4. Discussion
Our estimates align closely with the meta-analytic findings of Card (1999) and the more recent work of Autor (2014). The finding that returns are higher for women than men is consistent with Dougherty (2005), who argues that female college graduates benefit disproportionately from access to professional occupations.
References
Autor, D. H. (2014). Skills, education, and the rise of earnings inequality. Science, 344(6186), 843–851.
Card, D. (1999). The causal effect of education on earnings. Handbook of Labor Economics, 3, 1801–1863.
Dougherty, C. (2005). Why are the returns to schooling higher for women than for men? Journal of Human Resources, 40(4), 969–988.
Mincer, J. (1974). Schooling, Experience, and Earnings. Columbia University Press.
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