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| Fligner-Killeen 方差齐性检验× | 双样本柯尔莫哥洛夫-斯米尔诺夫检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Regression model | Regression model |
| 起源年份≠ | 1976 | 1948 |
| 提出者≠ | Michael A. Fligner & Timothy J. Killeen | N. V. Smirnov |
| 类型≠ | Rank-based test for homogeneity of variances | Nonparametric two-sample distribution test |
| 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 ↗ | Smirnov, N. V. (1948). Table for Estimating the Goodness of Fit of Empirical Distributions. Annals of Mathematical Statistics, 19(2), 279-281. DOI ↗ |
| 别名 | Fligner-Killeen test of variance homogeneity, rank-based variance homogeneity test, Fligner-Killeen Varyans Homojenliği Testi | KS two-sample test, two-sample KS test, İki Örneklem Kolmogorov-Smirnov Testi |
| 相关≠ | 5 | 3 |
| 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 two-sample Kolmogorov-Smirnov test is a nonparametric procedure that asks whether two independent groups are drawn from the same continuous distribution. Building on Smirnov's 1948 tables, it compares the empirical cumulative distribution functions (CDFs) of the two samples and uses their maximum absolute distance as the test statistic. |
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