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| Levene検定およびBrown-Forsythe検定（分散の等質性）× | 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≠ | 1960 | 1979 |
| 提唱者≠ | Howard Levene; Morton B. Brown and Alan B. Forsythe | Bradley Efron |
| 種類≠ | Homogeneity of variance test (robust) | Resampling-based inference |
| 原典≠ | Levene, H. (1960). Robust Tests for Equality of Variances. In Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling. Stanford University Press. link ↗ | Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗ |
| 別名 | Levene test, Brown-Forsythe test, homogeneity of variance test, Levene ve Brown-Forsythe Varyans Testi | bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımı |
| 関連 | 5 | 5 |
| 概要≠ | The Levene and Brown-Forsythe test checks whether two or more groups share the same variance (homogeneity of variance). Levene (1960) built the test on absolute deviations from each group mean, and Brown and Forsythe (1974) made it robust to non-normal data by centring on the group median instead. | 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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