Year: 2025
Type: article
Abstract: In this note, we recollect some formulas and facts about linear mixed models in relation to Cohen’s effect size measure $$f^2$$ f 2 . It is shown how an estimate of the variance-covariance matrix for the estimated fixed effects parameter vector may serve to compute $$f^2$$ f 2 in the presence of random effects. The advantage of the purported approach lies in the fact that any variance-covariance estimate already available may be applied. This also illuminates the circumstance that an actual computed effect size value necessarily depends on the employed linear mixed model estimation procedures. To demonstrate possible applications, it is shown how $$f^2$$ f 2 can be computed with the statistical software environment using . Based on an artificially generated data set, the possible impact of the inclusion of fixed and/or random effects is exemplarily discussed. In addition, the application to several random variables is demonstrated with a publicly available dat set.
Source: METRON
Authors: Jürgen Groß, Annette Möller
Institutions: University of Hildesheim, Bielefeld University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
Funder: Helmholtz-Gemeinschaft
OpenAlex ID: W4413209010