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| ロバスト二元配置分散分析 (Robust Two-Way ANOVA)× | 二元配置分散分析 (Two-Way ANOVA)× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Hypothesis test | Hypothesis test |
| 提唱年≠ | 1990s–2000s | 1925 |
| 提唱者≠ | Rand R. Wilcox; H. J. Keselman and colleagues | Ronald A. Fisher |
| 種類≠ | Robust parametric mean comparison | Parametric factorial mean comparison |
| 原典≠ | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 | Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478 |
| 別名≠ | robust factorial ANOVA, trimmed-mean two-way ANOVA, heteroscedastic two-way ANOVA, robust 2-way ANOVA | factorial ANOVA, two-factor ANOVA, İki Yönlü ANOVA |
| 関連≠ | 3 | 6 |
| 概要≠ | Robust two-way ANOVA tests main effects and interactions of two categorical factors on a continuous outcome using trimmed means and Winsorized variances, providing valid inference when standard ANOVA assumptions — normality, homoscedasticity, and absence of outliers — are violated. | Two-Way ANOVA is a parametric hypothesis test that simultaneously examines the main effects of two independent categorical factors and their interaction effect on a single continuous dependent variable. The technique was developed within the broader framework of the analysis of variance established by Ronald A. Fisher in 1925 and remains the standard approach whenever an experiment or survey includes exactly two between-subjects factors. |
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