Journal of the American Statistical Association volume 77, issue 380, P725-731 1982 DOI: 10.1080/01621459.1982.10477877 View full text
Michael K. Salemi, George E. Tauchen

Abstract: The article develops the structure and estimates the parameters of a nonlinear learning model applicable to research designs in which students are tested at the beginning and end of a course of study. A student's precourse score is an error-ridden proxy for his precourse aptitude. As a remedy for this problem, the article combines a probit model of test score outcomes, a learning function, and a linear equation relating aptitude to demographic characteristics to deduce the exact test score distribution. An em…

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