Nonlinearity of range corrections in meta-analysis: Test of an improved procedure

Abstract

Evaluated an improved procedure for range-restriction corrections in meta-analysis. When population correlations were approximately normally distributed, the new nonlinear range correction procedure improved the accuracy of the Schmidt-Hunter (S-H) interactive method in estimating both the mean ( M ρ ) and standard deviation ( SD ρ ) of population correlations, making it the most accurate of the procedures examined. In the homogeneous case ( SD ρ = 0), the nonlinear range correction again improves accuracy of estimates of SD ρ . In this important case, Taylor Series Approximation (TSA) 1 is considerably less accurate than the S-H interactive and the TSA 2 procedures, and the N. S. Raju et al (see record 1991-26294-001 ) procedure yields the least accurate estimates of SD ρ . Finally, it was found that the nonlinear range-correction procedure produces improvements in the accuracy of the interactive method even under extreme violations of the normality assumption. (PsycInfo Database Record (c) 2025 APA, all rights reserved)