A Robust Root Mean Square Standardized Effect Size in One-Way Fixed-Effects ANOVA

Coverage Performance of the Non-Central F-based and Percentile Bootstrap Confidence Intervals for Root Mean Square Standardized Effect Size in One-Way Fixed-Effects ANOVA

Analysis of Variance and Linear Models

analysis of variance (ANOVA): one-way nested, hierarchical two-way linear model fixed, random, and mixed models factorial arrangement of treatments variance components sum of squares, mean square, expected mean square sampling fraction, fixed effects, random effects simple effects, main effects, interaction effects, additive effects analysis of covariance, covariate, concomitant variable data t...

Beyond the F test: Effect size confidence intervals and tests of close fit in the analysis of variance and contrast analysis.

This article presents confidence interval methods for improving on the standard F tests in the balanced, completely between-subjects, fixed-effects analysis of variance. Exact confidence intervals for omnibus effect size measures, such as or and the root-mean-square standardized effect, provide all the information in the traditional hypothesis test and more. They allow one to test simultaneousl...

Sample size determinations for Welch's test in one-way heteroscedastic ANOVA.

For one-way fixed effects ANOVA, it is well known that the conventional F test of the equality of means is not robust to unequal variances, and numerous methods have been proposed for dealing with heteroscedasticity. On the basis of extensive empirical evidence of Type I error control and power performance, Welch's procedure is frequently recommended as the major alternative to the ANOVA F test...

Standardized Effect Sizes for Moderated Conditional Fixed Effects with Continuous Moderator Variables

Wilkinson and Task Force on Statistical Inference (1999) recommended that researchers include information on the practical magnitude of effects (e.g., using standardized effect sizes) to distinguish between the statistical and practical significance of research results. To date, however, researchers have not widely incorporated this recommendation into the interpretation and communication of th...