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| ロバストWilcoxon符号順位検定× | ロバストペアサンプルt検定× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Hypothesis test | Hypothesis test |
| 提唱年≠ | 1945 (original); robust extensions 1990s–2000s | 1974 |
| 提唱者≠ | Frank Wilcoxon (original); Rand R. Wilcox (robust extensions) | K. K. Yuen; extended by Rand R. Wilcox |
| 種類≠ | Robust nonparametric paired difference test | Robust parametric mean comparison |
| 原典≠ | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 | Yuen, K. K. (1974). The two-sample trimmed t for unequal population variances. Biometrika, 61(1), 165–170. DOI ↗ |
| 別名 | robust signed-rank test, robust nonparametric paired test, outlier-resistant Wilcoxon test, robust WSR test | trimmed-mean paired t-test, Yuen paired t-test, robust dependent-samples t-test, trimmed paired comparison |
| 関連≠ | 5 | 3 |
| 概要≠ | The robust Wilcoxon signed-rank test extends the classical Wilcoxon signed-rank test by incorporating outlier-resistant location measures or robust preprocessing steps, improving inference on paired data when extreme observations or heavy-tailed distributions threaten validity of standard rank-based conclusions. | The robust paired samples t-test replaces arithmetic means with trimmed means and Winsorized variance to compare two related measurements while resisting the distorting influence of outliers and non-normal distributions, producing reliable inference where the classic paired t-test breaks down. |
| ScholarGateデータセット ↗ |
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