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Bayesian estimation of explained variance in ANOVA designs
Author(s) -
Marsman Maarten,
Waldorp Lourens,
Dablander Fabian,
Wagenmakers EricJan
Publication year - 2019
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/stan.12173
Subject(s) - statistics , bayesian probability , mathematics , analysis of variance , variance (accounting) , econometrics , variance components , one way analysis of variance , estimation , bayes estimator , repeated measures design , economics , management , accounting
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.