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Social and Behavioral Sciences Commons

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Applied Behavior Analysis

Western Kentucky University

Masters Theses & Specialist Projects

Based

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Estimation Of The Squared Population Cross-Validity Under Conditions Of Predictor Selection, Andrew J. Kircher May 2015

Estimation Of The Squared Population Cross-Validity Under Conditions Of Predictor Selection, Andrew J. Kircher

Masters Theses & Specialist Projects

The current study employed a Monte Carlo design to examine whether samplebased and formula-based estimates of cross-validated R2 differ in accuracy when predictor selection is and is not performed. Analyses were conducted on three datasets with 5, 10, or 15 predictors and different predictor-criterion relationships. Results demonstrated that, in most cases, a formula-based estimate of the cross-validated R2 was as accurate as a sample-based estimate. The one exception was the five predictor case wherein the formula-based estimate exhibited substantially greater bias than the estimate from a sample-based cross validation study. Thus, formula-based estimates, which have an enormous practical advantage over …