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A revisit to two-way factorial ANOVA with mixed effects and interactions

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  • Tao Wang
  • Nicholas DeVogel

Abstract

Two mixed models exist in analysis of two-way factorial ANOVA with mixed effects and interactions: the constrained and unconstrained models. The constrained model is unfavored because there is no convincing rationale for the enforced constraints on its random interactions and a lack of clear interpretation about its variance components. The purpose of this study is to further explore the relationship between these two models. We reveal some nice features of the constrained model on partition of the responsive variance. An alternative formulation of ANOVA that follows from this exploration is also presented.

Suggested Citation

  • Tao Wang & Nicholas DeVogel, 2020. "A revisit to two-way factorial ANOVA with mixed effects and interactions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(19), pages 4618-4635, October.
    • Handle: RePEc:taf:lstaxx:v:49:y:2020:i:19:p:4618-4635
    DOI: 10.1080/03610926.2019.1604961
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