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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.04700 |
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| _version_ | 1866913535447007232 |
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| author | Tran, Bao Khue Wagaman, Amy S. Nguyen, Andrew Jacobson, David Hartlaub, Bradley |
| author_facet | Tran, Bao Khue Wagaman, Amy S. Nguyen, Andrew Jacobson, David Hartlaub, Bradley |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04700 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonparametric tests for interaction in two-way ANOVA with balanced replications Tran, Bao Khue Wagaman, Amy S. Nguyen, Andrew Jacobson, David Hartlaub, Bradley Methodology Computation 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. |
| title | Nonparametric tests for interaction in two-way ANOVA with balanced replications |
| topic | Methodology Computation |
| url | https://arxiv.org/abs/2410.04700 |