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| Moods Medianentest× | Levene- und Brown-Forsythe-Test auf Varianzgleichheit× | |
|---|---|---|
| Fachgebiet | Statistik | Statistik |
| Familie | Regression model | Regression model |
| Entstehungsjahr≠ | 1954 | 1960 |
| Urheber≠ | A. M. Mood | Howard Levene; Morton B. Brown and Alan B. Forsythe |
| Typ≠ | Nonparametric median comparison | Homogeneity of variance test (robust) |
| Wegweisende Quelle≠ | Mood, A. M. (1954). On the Asymptotic Efficiency of Certain Nonparametric Two-Sample Tests. Annals of Mathematical Statistics, 25(3), 514-522. DOI ↗ | 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 ↗ |
| Aliasnamen≠ | median test, Brown-Mood median test, Mood Medyan Testi | Levene test, Brown-Forsythe test, homogeneity of variance test, Levene ve Brown-Forsythe Varyans Testi |
| Verwandt≠ | 3 | 5 |
| Zusammenfassung≠ | Mood's median test is a nonparametric procedure that compares the medians of k independent groups by counting how many observations in each group fall above and below the pooled (grand) median, then applying a chi-square test to the resulting 2×k contingency table. It traces to A. M. Mood's 1954 work on nonparametric two-sample tests. | 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. |
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