مقایسهٔ روشها
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| ANOVAی ناپارامتریک (میانگین ناپارامتریک ولش و میانگین هرسشده)× | استنتاج بوتسترپ× | |
|---|---|---|
| حوزه | آمار | آمار |
| خانواده | Regression model | Regression model |
| سال پیدایش≠ | 1951 | 1979 |
| پدیدآور≠ | Welch (1951); robust trimmed-mean approach popularised by Wilcox | Bradley Efron |
| نوع≠ | Robust one-way analysis of variance | Resampling-based inference |
| منبع بنیادین≠ | 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 ↗ |
| نامهای دیگر≠ | Welch ANOVA, trimmed-mean ANOVA, heteroscedastic one-way ANOVA, Robust ANOVA (Welch & Trimmed Mean) | bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımı |
| مرتبط | 5 | 5 |
| خلاصه≠ | 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. |
| ScholarGateمجموعهداده ↗ |
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