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| Fligner-Killeen 方差齐性检验× | Mann-Whitney U 检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族≠ | Regression model | Hypothesis test |
| 起源年份≠ | 1976 | 1947 |
| 提出者≠ | Michael A. Fligner & Timothy J. Killeen | H. B. Mann & D. R. Whitney |
| 类型≠ | Rank-based test for homogeneity of variances | Nonparametric two-group comparison |
| 开创性文献≠ | 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 ↗ | Mann, H. B. & Whitney, D. R. (1947). On a test of whether one of two random variables is stochastically larger than the other. Annals of Mathematical Statistics, 18(1), 50–60. DOI ↗ |
| 别名 | Fligner-Killeen test of variance homogeneity, rank-based variance homogeneity test, Fligner-Killeen Varyans Homojenliği Testi | Mann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi |
| 相关≠ | 5 | 4 |
| 摘要≠ | 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. | The Mann-Whitney U test is the nonparametric alternative to the independent samples t-test, comparing two independent groups by ranking all observations together rather than relying on their means. It was introduced by H. B. Mann and D. R. Whitney in 1947 and does not require the data to be normally distributed. |
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