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A Note on the Noncentrality Parameter and Effect Size Estimates for the F Test in ANOVA

University of South Carolina

Stephen Raudenbush

University of Michigan

The noncentrality parameter for the noncentral F is a precision-weighted sum of squares of treatment means, which is closely related to the test statistic and effect size. The two common effect size estimates are not based on the uniformly minimum variance unbiased (UMVU) estimate of the noncentrality parameter. The UMVU estimate of the noncentrality parameter implies a new and more conservative effect size estimate.

Key Words: effect size • noncentrality parameter • statistical power

Journal of Educational and Behavioral Statistics, Vol. 29, No. 2, 251-255 (2004)
DOI: 10.3102/10769986029002251


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