Nonparametric tests for interaction in two-way ANOVA with balanced replications
Abstract
Nonparametric procedures are more powerful for detecting interaction in two-way ANOVA when the data are non-normal. In this paper, we compute null critical values for the aligned rank-based tests (APCSSA/APCSSM) where the levels of the factors are between 2 and 6. We compare the performance of these new procedures with the ANOVA F-test for interaction, the adjusted rank transform test (ART), Conover's rank transform procedure (RT), and a rank-based ANOVA test (raov) using Monte Carlo simulations. The new procedures APCSSA/APCSSM are comparable with existing competitors in all settings. Even though there is no single dominant test in detecting interaction effects for non-normal data, nonparametric procedure APCSSM is the most highly recommended procedure for Cauchy errors settings.
Cite
@article{arxiv.2410.04700,
title = {Nonparametric tests for interaction in two-way ANOVA with balanced replications},
author = {Bao Khue Tran and Amy S. Wagaman and Andrew Nguyen and David Jacobson and Bradley Hartlaub},
journal= {arXiv preprint arXiv:2410.04700},
year = {2024}
}