標題: Confidence intervals and sample size calculations for the weighted eta-squared effect sizes in one-way heteroscedastic ANOVA
作者: Shieh, Gwowen
管理科學系
Department of Management Science
關鍵字: Heteroscedasticity;Precision;Welch's statistic
公開日期: 1-Mar-2013
摘要: Effect size reporting and interpreting practices have been extensively recommended in academic journals when primary outcomes of all empirical studies have been analyzed. This article presents an alternative approach to constructing confidence intervals of the weighted eta-squared effect size within the context of one-way heteroscedastic ANOVA models. It is shown that the proposed interval procedure has advantages over an existing method in its theoretical justification, computational simplicity, and numerical performance. For design planning, the corresponding sample size procedures for precise interval estimation of the weighted eta-squared association measure are also delineated. Specifically, the developed formulas compute the necessary sample sizes with respect to the considerations of expected confidence interval width and tolerance probability of interval width within a designated value. Supplementary computer programs are provided to aid the implementation of the suggested techniques in practical applications of ANOVA designs when the assumption of homogeneous variances is not tenable.
URI: http://dx.doi.org/10.3758/s13428-012-0228-7
http://hdl.handle.net/11536/22042
ISSN: 1554-351X
DOI: 10.3758/s13428-012-0228-7
期刊: BEHAVIOR RESEARCH METHODS
Volume: 45
Issue: 1
起始頁: 25
結束頁: 37
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