手法を比較
選択した手法を並べて確認できます。異なる行はハイライト表示されます。
| ロバストANOVA（ウェルチとトリム平均）× | ブートストラップ推論× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1951 | 1979 |
| 提唱者≠ | Welch (1951); robust trimmed-mean approach popularised by Wilcox | Bradley Efron |
| 種類≠ | Robust one-way analysis of variance | Resampling-based inference |
| 原典≠ | Welch, B. L. (1951). On the comparison of several mean values: an alternative approach. Biometrika, 38(3/4), 330-336. DOI ↗ | Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗ |
| 別名≠ | Welch ANOVA, trimmed-mean ANOVA, heteroscedastic one-way ANOVA, Robust ANOVA (Welch & Trimmed Mean) | bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımı |
| 関連 | 5 | 5 |
| 概要≠ | Robust ANOVA compares the central tendency of three or more groups when the classical assumptions of normality and equal variances fail. It combines Welch's heteroscedasticity-adjusted statistic, introduced by Welch in 1951, with trimmed-mean tests advanced by Wilcox, giving reliable comparisons in the presence of outliers and unequal group spreads. | Bootstrap inference, introduced by Bradley Efron in 1979, estimates the sampling distribution of a statistic by repeatedly resampling the observed data with replacement. It requires no distributional assumption and produces reliable confidence intervals even in small samples. |
| ScholarGateデータセット ↗ |
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