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| Levene 和 Brown-Forsythe 方差齐性检验× | 置换 (随机化) 检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Regression model | Regression model |
| 起源年份≠ | 1960 | 2005 |
| 提出者≠ | Howard Levene; Morton B. Brown and Alan B. Forsythe | Good (2005); Edgington & Onghena (2007); resampling tradition |
| 类型≠ | Homogeneity of variance test (robust) | Nonparametric resampling test |
| 开创性文献≠ | 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 ↗ | Good, P. (2005). Permutation, Parametric and Bootstrap Tests of Hypotheses (3rd ed.). Springer. ISBN: 978-0387202792 |
| 别名 | Levene test, Brown-Forsythe test, homogeneity of variance test, Levene ve Brown-Forsythe Varyans Testi | randomization test, exact permutation test, re-randomization test, Permütasyon Testi |
| 相关 | 5 | 5 |
| 摘要≠ | 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. | The permutation test is a nonparametric resampling procedure that builds the sampling distribution of a test statistic directly from the data by repeatedly shuffling the group labels. Developed in the resampling tradition and treated systematically by Good (2005) and Edgington & Onghena (2007), it requires no parametric distributional assumption and yields an exact p-value. |
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