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The Effect of Age at School Entry on Educational Attainment: An Application of Instrumental Variables with Moments from Two Samples
Open accessAbstract
Abstract We present a model in which compulsory school attendance laws, which typically require school attendance until a specified birthday, induce a relationship between years of schooling and age at school entry. Variation in school starting age created by children's dates of birth provides a natural experiment for estimating the effect of age at school entry. Because no large data set contains information on both age at school entry and educational attainment, we use an instrumental variables (IV) estimator with data derived from the 1960 and 1980 Censuses to estimate and test the age-at-entry/compulsory schooling model. In most IV applications, the two covariance matrices that form the estimator are constructed from the same sample. We use a method-of-moments framework to discuss IV estimators that combine moments from different data sets. In our application, quarter of birth dummies are the instrumental variables used to link the 1960 Census, from which age at school entry can be derived for one coh...
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Cites
Theory of the Consumption Function
Friedman, M. (1957) · doi:10.1515/9780691188485 · Cited by 3,335
A Note on Regression When There is Extraneous Information About One of the Coefficients
Durbin, J. (1953) · Journal of the American Statistical Association · doi:10.1080/01621459.1953.10501201 · Cited by 143
Cited by
A review of instrumental variable estimators for Mendelian randomization
Burgess, S., Small, D. S., & Thompson, S. G. (2017) · Statistical Methods in Medical Research · doi:10.1177/0962280215597579 · Cited by 1,764
Empirical Strategies in Labor Economics
Angrist, J. D., & Krueger, A. B. (1999) · Handbook of Labor Economics · doi:10.1016/s1573-4463(99)03004-7 · Cited by 1,628
Self-citationBias due to participant overlap in two‐sample Mendelian randomization
Burgess, S., Davies, N. M., & Thompson, S. G. (2016) · Genetic Epidemiology · doi:10.1002/gepi.21998 · Cited by 1,624
Pierce, B. L., & Burgess, S. (2013) · American Journal of Epidemiology · doi:10.1093/aje/kwt084 · Cited by 1,389
THE ESTIMATION OF CAUSAL EFFECTS FROM OBSERVATIONAL DATA
Winship, C., & Morgan, S. L. (1999) · Annual Review of Sociology · doi:10.1146/annurev.soc.25.1.659 · Cited by 890
Metadata
- Authors
- Angrist, J., & Krueger, A.
- Venue
- National Bureau of Economic Research
- Publisher
- National Bureau of Economic Research
- Published
- 1990-12
- OpenAlex
- W3125813942
- Cited by
- 443
- References
- 2
- Type
- report
- Language
- en
- Open access
- green
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- Angrist, J., & Krueger, A. (1990). The Effect of Age at School Entry on Educational Attainment: An Application of Instrumental Variables with Moments from Two Samples. National Bureau of Economic Research. https://doi.org/10.3386/w3571
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