EFFICIENCY OF PREDICTION WHEN A REGRESSION EQUATION FROM ONE SAMPLE IS USED IN A NEW SAMPLE
Frederic M. Lord · ETS Research Bulletin Series · 1950
ABSTRACT If a multiple regression equation is computed from one sample and applied to subsequent samples, the errors of prediction in the later samples will be larger than those in the first sample or those in the universe from which the samples were drawn. The expected value, and also the sampling variance, of the average squared error of prediction in the second sample is obtained for the case where the independent variables are treated as fixed.