Algina James, Keselman H J, Penfield Randall D
Department of Educational Psychology, University of Florida, Gainesville, FL 32611-7047, USA.
Psychol Methods. 2005 Sep;10(3):317-28. doi: 10.1037/1082-989X.10.3.317.
The authors argue that a robust version of Cohen's effect size constructed by replacing population means with 20% trimmed means and the population standard deviation with the square root of a 20% Winsorized variance is a better measure of population separation than is Cohen's effect size. The authors investigated coverage probability for confidence intervals for the new effect size measure. The confidence intervals were constructed by using the noncentral t distribution and the percentile bootstrap. Over the range of distributions and effect sizes investigated in the study, coverage probability was better for the percentile bootstrap confidence interval.
作者认为,通过用20%截尾均值代替总体均值,并将总体标准差替换为20% Winsorized方差的平方根构建的Cohen效应量的稳健版本,是比Cohen效应量更好的总体分离度度量。作者研究了新效应量度量的置信区间的覆盖概率。置信区间通过使用非中心t分布和百分位数自助法构建。在该研究中所考察的分布和效应量范围内,百分位数自助法置信区间的覆盖概率更好。