مقایسهٔ روشها
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| آزمون لوین و براون-فورسایت برای برابری واریانسها× | آزمون جایگشتی (تصادفیسازی)× | |
|---|---|---|
| حوزه | آمار | آمار |
| خانواده | Regression model | Regression model |
| سال پیدایش≠ | 1960 | 2005 |
| پدیدآور≠ | Howard Levene; Morton B. Brown and Alan B. Forsythe | Good (2005); Edgington & Onghena (2007); resampling tradition |
| نوع≠ | Homogeneity of variance test (robust) | Nonparametric resampling test |
| منبع بنیادین≠ | 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 |
| نامهای دیگر | 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 |
| مرتبط | 5 | 5 |
| خلاصه≠ | 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. |
| ScholarGateمجموعهداده ↗ |
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