1. Parametric bootstrap procedures for three-factor ANOVA and multiple comparison procedures with unequal group variances.
- Author
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Alver, Sarah and Zhang, Guoyi
- Subjects
- *
MULTIPLE comparisons (Statistics) , *ANALYSIS of variance , *TWO-way analysis of variance , *FALSE positive error - Abstract
The issue of unmet equal variance assumption in multi-factor ANOVA has been addressed in the literature with several methods, and parametric bootstrap (PB) has been found in the one-way and two-way cases to outperform other methods. We extend previously developed PB procedures for one- and two-way ANOVA, and illustrate with a three-way ANOVA model with unequal group variances (heteANOVA model). We develop a framework for working with these models, analogous to usual multi-factor ANOVA procedures, where F-tests and Tukey's simultaneous multiple comparison procedures are replaced by PB procedures. Using simulation, we compare these methods to F-tests for each step in model selection, as well as to Tukey's test for multiple comparison procedures (MCP). The results of our simulations indicate that the PB methods outperform F-tests and Tukey's test in terms of Type I error when data are unbalanced. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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