Bayesian estimation of explained variance in ANOVA designs

Maarten Marsman, Lourens Waldorp, Fabian Dablander and Eric‐Jan Wagenmakers

Statistica Neerlandica, 2019, vol. 73, issue 3, 351-372

Abstract: 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.

Date: 2019
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