We propose to use the squared multiple correlation coefficient as an effect size measure for experimental analysis‐of‐variance designs and to use Bayesian methods to estimate its posterior distribution. We provide the expressions for the squared multiple, semipartial, and partial correlation coefficients corresponding to four commonly used analysis‐of‐variance designs and illustrate our contribution with two worked examples.

中文翻译：

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方差分析设计中解释方差的贝叶斯估计

我们建议使用平方多重相关系数作为方差设计实验分析的效应大小度量，并使用贝叶斯方法来估计其后验分布。我们提供了对应于四种常用方差分析设计的平方倍数、半偏相关和偏相关系数的表达式，并通过两个工作示例说明了我们的贡献。