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| Levene- und Brown-Forsythe-Test auf Varianzgleichheit× | Einfaktorielle Varianzanalyse× | |
|---|---|---|
| Fachgebiet | Statistik | Statistik |
| Familie≠ | Regression model | Hypothesis test |
| Entstehungsjahr≠ | 1960 | 1925 |
| Urheber≠ | Howard Levene; Morton B. Brown and Alan B. Forsythe | Ronald A. Fisher |
| Typ≠ | Homogeneity of variance test (robust) | Parametric mean comparison |
| Wegweisende Quelle≠ | 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 ↗ | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ |
| Aliasnamen | Levene test, Brown-Forsythe test, homogeneity of variance test, Levene ve Brown-Forsythe Varyans Testi | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| Verwandt≠ | 5 | 4 |
| Zusammenfassung≠ | 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. | One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925. |
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