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

Xiaofeng Liu and Stephen Raudenbush

Journal of Educational and Behavioral Statistics, 2004, vol. 29, issue 2, 251-255

Abstract: 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.

Keywords: effect size; noncentrality parameter; statistical power (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:29:y:2004:i:2:p:251-255

DOI: 10.3102/10769986029002251

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