Power Enhancement of Permutation-Augmented Partial-Correlation Tests via Fixed-Row Permutations
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910983381843968 |
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| author | Wang, Tianyi Wang, Guanghui Wang, Zhaojun Zou, Changliang |
| author_facet | Wang, Tianyi Wang, Guanghui Wang, Zhaojun Zou, Changliang |
| contents | Permutation-based partial-correlation tests guarantee finite-sample Type I error control under any fixed design and exchangeable noise, yet their power can collapse when the permutation-augmented design aligns too closely with the covariate of interest. We remedy this by fixing a design-driven subset of rows and permuting only the remainder. The fixed rows are chosen by a greedy algorithm that maximizes a lower bound on power. This strategy reduces covariate-permutation collinearity while preserving worst-case Type I error control. Simulations confirm that this refinement maintains nominal size and delivers substantial power gains over original unrestricted permutations, especially in high-collinearity regimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_02906 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Power Enhancement of Permutation-Augmented Partial-Correlation Tests via Fixed-Row Permutations Wang, Tianyi Wang, Guanghui Wang, Zhaojun Zou, Changliang Methodology Statistics Theory Permutation-based partial-correlation tests guarantee finite-sample Type I error control under any fixed design and exchangeable noise, yet their power can collapse when the permutation-augmented design aligns too closely with the covariate of interest. We remedy this by fixing a design-driven subset of rows and permuting only the remainder. The fixed rows are chosen by a greedy algorithm that maximizes a lower bound on power. This strategy reduces covariate-permutation collinearity while preserving worst-case Type I error control. Simulations confirm that this refinement maintains nominal size and delivers substantial power gains over original unrestricted permutations, especially in high-collinearity regimes. |
| title | Power Enhancement of Permutation-Augmented Partial-Correlation Tests via Fixed-Row Permutations |
| topic | Methodology Statistics Theory |
| url | https://arxiv.org/abs/2506.02906 |