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| ロバスト効果量分析× | ロバスト独立標本t検定× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Hypothesis test | Hypothesis test |
| 提唱年≠ | 2005 (formalized) | 1974–1990s |
| 提唱者≠ | Algina, Keselman & Penfield; Wilcox | Rand R. Wilcox; Karen K. Yuen (trimmed-mean form) |
| 種類≠ | Robust effect size estimation | Robust parametric mean comparison |
| 原典≠ | Algina, J., Keselman, H. J., & Penfield, R. D. (2005). An alternative to Cohen's standardized mean difference effect size: A robust parameter and confidence interval in the two independent groups case. Psychological Methods, 10(3), 317–328. DOI ↗ | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 |
| 別名 | robust Cohen's d, trimmed-mean effect size, outlier-resistant effect size, robust standardized mean difference | Yuen's t-test, trimmed-mean t-test, Winsorized t-test, robust two-sample test |
| 関連≠ | 5 | 2 |
| 概要≠ | Robust effect size analysis quantifies the magnitude of a difference or association using estimators that are resistant to outliers and violations of normality. Rather than relying on classical statistics such as Cohen's d based on sample means and standard deviations, robust variants use trimmed means and Winsorized standard deviations to produce effect size estimates that accurately reflect the typical effect rather than being inflated by extreme values. | 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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