Multiple Regression and Validity Estimation in One Sample

Abstract

This study empirically investigated equations for estimating the value of the multiple correlation co efficient in the population underlying a sample and the value of the population validity coefficient of a sample regression equation. In addition to pre viously published estimation equations, several new procedures, including an empirically derived equa tion, were evaluated using 16 independent popula tions. Overall, the empirical equation was superior to any of the previously published estimation proce dures. It appears that cross-validation may no longer be necessary for certain purposes.