مقایسهٔ روشها
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| آزمون فِلِینِر-کیلین برای همگنی واریانسها× | آزمون کولموگروف-اسمیرنوف دو نمونهای× | |
|---|---|---|
| حوزه | آمار | آمار |
| خانواده | Regression model | Regression model |
| سال پیدایش≠ | 1976 | 1948 |
| پدیدآور≠ | Michael A. Fligner & Timothy J. Killeen | N. V. Smirnov |
| نوع≠ | Rank-based test for homogeneity of variances | Nonparametric two-sample distribution test |
| منبع بنیادین≠ | 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 ↗ |
| نامهای دیگر | 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 |
| مرتبط≠ | 5 | 3 |
| خلاصه≠ | 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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