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Development and Validation of a Simplified m-Group Regression Model

Tohoku University Japan

This study is an application and specialization of the Bayesian linear model developed by Lindley and Smith (1972). The context is m-group regression and the application to the prediction of grade point average. The specialization involves the assumption of homogeneity of regression coefficients (but not intercepts) across groups. Empirical cross-validations are conducted to compare the predictive efficiency of this model with that of the full m-group regression and several least squares methods in the context of educational selection.

Key Words: Bayesian Estimation • Simultaneous Estimation • Multiple Regression • Exchangeable Groups • Central Prediction

Journal of Educational and Behavioral Statistics, Vol. 1, No. 2, 157-180 (1976)
DOI: 10.3102/10769986001002157


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