مقایسهٔ روشها
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| آزمون سیگل-توکی برای تفاوتهای مقیاس× | آزمون فِلِینِر-کیلین برای همگنی واریانسها× | |
|---|---|---|
| حوزه | آمار | آمار |
| خانواده≠ | Hypothesis test | Regression model |
| سال پیدایش≠ | 1960 | 1976 |
| پدیدآور≠ | Sidney Siegel & John W. Tukey | Michael A. Fligner & Timothy J. Killeen |
| نوع≠ | Nonparametric scale comparison | Rank-based test for homogeneity of variances |
| منبع بنیادین≠ | Siegel, S. & Tukey, J. W. (1960). A Nonparametric Sum of Ranks Procedure for Relative Spread in Unpaired Samples. Journal of the American Statistical Association, 55(291), 429–444. 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 ↗ |
| نامهای دیگر | Siegel-Tukey rank test, nonparametric scale test, Siegel-Tukey Testi — Ölçek Farklılığı | Fligner-Killeen test of variance homogeneity, rank-based variance homogeneity test, Fligner-Killeen Varyans Homojenliği Testi |
| مرتبط≠ | 2 | 5 |
| خلاصه≠ | The Siegel-Tukey test is a nonparametric hypothesis test that detects differences in variability (spread) between two independent groups whose central tendencies are equal or have been equalised. Introduced by Sidney Siegel and John W. Tukey in 1960, it is the nonparametric counterpart of Levene's test and requires no assumption of normality. | 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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