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| Kiểm định Wilcoxon dấu hạng có tính vững× | Kiểm định Friedman mạnh mẽ× | |
|---|---|---|
| Lĩnh vực | Thống kê | Thống kê |
| Họ | Hypothesis test | Hypothesis test |
| Năm ra đời≠ | 1945 (original); robust extensions 1990s–2000s | 1990s–2000s |
| Người khởi xướng≠ | Frank Wilcoxon (original); Rand R. Wilcox (robust extensions) | Extension of Friedman (1937); robust variants developed by Wilcox and colleagues |
| Loại≠ | Robust nonparametric paired difference test | Robust nonparametric repeated measures comparison |
| Công trình gốc | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 |
| Tên gọi khác | robust signed-rank test, robust nonparametric paired test, outlier-resistant Wilcoxon test, robust WSR test | robust rank-based repeated measures test, trimmed-mean Friedman test, Friedman test with robust estimation, Fried-type robust test |
| Liên quan≠ | 5 | 6 |
| Tóm tắt≠ | 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 Friedman test is a nonparametric procedure for comparing three or more related (within-subjects) conditions that replaces standard ranking or mean-based summaries with robust location estimates — typically trimmed means or Winsorized statistics — to reduce the influence of outliers and heavy-tailed distributions on the inference. |
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