方法对比
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| 稳健单样本t检验(截尾均值)× | 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≠ | 1970s–2000s | 1974–1990s |
| 提出者≠ | Rand R. Wilcox (extending Yuen's trimmed-mean approach) | Rand R. Wilcox; Karen K. Yuen (trimmed-mean form) |
| 类型 | Robust parametric mean 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 | one-sample trimmed mean test, Yuen one-sample test, robust one-sample location test, trimmed mean t-test | Yuen's t-test, trimmed-mean t-test, Winsorized t-test, robust two-sample test |
| 相关≠ | 4 | 2 |
| 摘要≠ | The robust one-sample t-test replaces the ordinary mean with a trimmed mean and the sample variance with a Winsorized variance to compare a population location against a hypothesized value. It retains the t-test decision framework while sharply reducing sensitivity to outliers and heavy-tailed distributions, making it reliable in real-world continuous data that deviate from normality. | 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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