Sampling variance in the correlation coefficient under range restriction: A Monte Carlo study

Abstract

Validity generalization methods require accurate estimates of the sampling variance in the correlation coefficient when the range of variation in the data is restricted. This article presents the results of computer simulations examining the accuracy of the sampling variance estimator under sample range restrictions. Range restriction is assumed to occur by direct selection on the predictor. Sample sizes of 25, 60, and 100 are used, with the selection ratio ranging from .10 to 1.0 and the population correlation ranging from .10 to .90. The estimator is found to have a slight negative bias in unrestricted data. In restricted data, the bias is substantial in sample sizes of 60 or less. In all sample sizes, the negative bias increases as the selection ratio becomes smaller. Implications of the results for studies of validity generalization are discussed. (PsycInfo Database Record (c) 2025 APA, all rights reserved)