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| トリム平均検定(Yuenの検定)× | 中央絶対偏差 (MAD) 推定× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Regression model | Regression model |
| 提唱年 | 1974 | 1974 |
| 提唱者≠ | Karen K. Yuen | Hampel (influence-curve treatment); classical robust statistics |
| 種類≠ | Robust two-group comparison | Robust scale estimator |
| 原典≠ | Yuen, K. K. (1974). The Two-Sample Trimmed t for Unequal Population Variances. Biometrika, 61(1), 165-170. DOI ↗ | Hampel, F. R. (1974). The Influence Curve and Its Role in Robust Estimation. Journal of the American Statistical Association, 69(346), 383-393. DOI ↗ |
| 別名 | Yuen's test, Yuen-Welch test, robust mean comparison, kırpılmış ortalama testi | median absolute deviation, MAD scale estimator, robust scale estimation, Medyan Mutlak Sapma (MAD) Tahmini |
| 関連≠ | 4 | 5 |
| 概要≠ | The trimmed mean test compares two groups using trimmed means, which discard a fixed proportion of the most extreme observations in each tail before averaging. Introduced by Karen K. Yuen in 1974, it is a robust alternative to the classical t-test when the data are non-normal or contain outliers and the population variances are unequal. | Median Absolute Deviation estimation is a robust measure of statistical dispersion that replaces the standard deviation when outliers are present. Rooted in the influence-curve framework formalised by Hampel (1974), it summarises the spread of a continuous variable using medians instead of means, so a single extreme value cannot distort the result. |
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