Covariance and Regression Slope Models for Studying Validity Generalization

Abstract
Two new models, the covariance and regression slope models, are proposed for assessing validity gen eralization. The new models are less restrictive in that they require only one hypothetical distribution (distri bution of range restriction for the covariance model and distribution of predictor reliability for the regres sion slope model) for their implementation, in contrast to the correlation model which requires hypothetical distributions for criterion reliability, predictor reliabil ity, and range restriction. The new models, however, are somewhat limited in their applicability since they both assume common metrics for predictors and crite ria across validation studies. Several simulation (monte carlo) studies showed the new models to be quite accurate in estimating the mean and variance of population true covariances and regression slopes. The results also showed that the accuracy of the covari ance, regression slope, and correlation models is af fected by the degree to which hypothetical distribu tions of artifacts match their true distributions; the regression slope model appears to be slightly more ro bust than the other two models.