方法对比
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| 稳健单因素方差分析× | 稳健独立样本t检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Hypothesis test | Hypothesis test |
| 起源年份≠ | 1951 (Welch); 1990s–2000s (trimmed-mean variants) | 1974–1990s |
| 提出者≠ | B. L. Welch; R. R. Wilcox (trimmed-mean extension) | Rand R. Wilcox; Karen K. Yuen (trimmed-mean form) |
| 类型≠ | Robust parametric group comparison | Robust parametric mean comparison |
| 开创性文献 | 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 |
| 别名 | trimmed-mean ANOVA, Welch one-way ANOVA, heteroscedastic one-way ANOVA, robust ANOVA | Yuen's t-test, trimmed-mean t-test, Winsorized t-test, robust two-sample test |
| 相关 | 2 | 2 |
| 摘要≠ | Robust one-way ANOVA compares the central tendency of three or more independent groups while resisting the distorting effects of outliers and heterogeneous variances. By replacing ordinary means with trimmed means and ordinary variances with Winsorized variances, it maintains accurate Type I error control and strong power when classical ANOVA assumptions are violated. | The robust independent samples t-test compares the central tendency of two independent groups using trimmed means and Winsorized variances, making it substantially less sensitive to outliers and non-normality than the classical Student or Welch t-test. The most widely used form is Yuen's test, which also accommodates unequal variances across groups. |
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