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| Test Bruno-Munzela× | Test Flignera-Killeena jednorodności wariancji× | |
|---|---|---|
| Dziedzina | Statystyka | Statystyka |
| Rodzina≠ | Hypothesis test | Regression model |
| Rok powstania≠ | 2000 | 1976 |
| Twórca≠ | Edgar Brunner & Ullrich Munzel | Michael A. Fligner & Timothy J. Killeen |
| Typ≠ | Nonparametric two-sample comparison | Rank-based test for homogeneity of variances |
| Źródło pierwotne≠ | Brunner, E. & Munzel, U. (2000). The Nonparametric Behrens-Fisher Problem: Asymptotic Theory and a Small-Sample Approximation. Biometrical Journal, 42(1), 17–25. DOI ↗ | Fligner, M. A., & Killeen, T. J. (1976). Distribution-Free Two-Sample Tests for Scale. Journal of the American Statistical Association, 71(353), 210-213. DOI ↗ |
| Inne nazwy≠ | Brunner-Munzel Testi, generalized Wilcoxon test, nonparametric Behrens-Fisher test, probabilistic index test | Fligner-Killeen test of variance homogeneity, rank-based variance homogeneity test, Fligner-Killeen Varyans Homojenliği Testi |
| Pokrewne≠ | 6 | 5 |
| Podsumowanie≠ | The Brunner-Munzel test is a nonparametric two-sample hypothesis test that estimates the probabilistic superiority index P(X < Y) — the probability that a randomly selected observation from one group exceeds a randomly selected observation from the other. Introduced by Brunner and Munzel in 2000 as a solution to the nonparametric Behrens-Fisher problem, it remains valid even when the two groups have unequal variances or differently shaped distributions, making it a robust alternative to the Mann-Whitney U test in heteroscedastic settings. | The Fligner-Killeen test is a rank-based test that checks whether several independent groups share the same variance (scale). Introduced by Fligner and Killeen in 1976, it does not require the data to be normally distributed, making it a robust nonparametric alternative to the Levene and Bartlett tests. |
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