Bootstrap confidence intervals for the mean correlation corrected for Case IV range restriction: a more adequate procedure for meta-analysis

J Appl Psychol. 2013 Jan;98(1):183-93. doi: 10.1037/a0029946. Epub 2012 Oct 22.

Abstract

In this study, we proposed to use the nonparametric bootstrap procedure to construct the confidence interval for the mean correlation r corrected for Case IV range restriction in meta-analysis (i.e., ; Hunter, Schmidt, & Le, 2006). A comprehensive Monte Carlo study was conducted to evaluate the accuracy of the parametric confidence interval and 3 nonparametric bootstrap confidence intervals for r(c4). Of the 4 intervals, our results showed that the bootstrap bias-corrected and accelerated percentile interval (BCaI) yielded the most accurate results across different data situations. In addition, the mean-corrected correlation r(c4) was found to be more accurate than the uncorrected estimate. Implications of the mean-corrected correlation r(c4) and BCaI in organizational studies are also discussed.

MeSH terms

  • Bias
  • Confidence Intervals*
  • Humans
  • Meta-Analysis as Topic*
  • Models, Statistical*
  • Monte Carlo Method
  • Reproducibility of Results
  • Research Design / statistics & numerical data*