مقایسهٔ روشها
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| آزمون نیکویی برازش اندرسون-دارلینگ× | آزمون فِلِینِر-کیلین برای همگنی واریانسها× | |
|---|---|---|
| حوزه | آمار | آمار |
| خانواده | Regression model | Regression model |
| سال پیدایش≠ | 1952 | 1976 |
| پدیدآور≠ | Anderson & Darling (1952); EDF tables by Stephens (1974) | Michael A. Fligner & Timothy J. Killeen |
| نوع≠ | Empirical distribution function (EDF) goodness-of-fit test | Rank-based test for homogeneity of variances |
| منبع بنیادین≠ | Anderson, T. W., & Darling, D. A. (1952). Asymptotic Theory of Certain 'Goodness of Fit' Criteria Based on Stochastic Processes. The Annals of Mathematical Statistics, 23(2), 193-212. 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≠ | Anderson-Darling Normallik Testi, A-squared test, AD test, Anderson-Darling goodness-of-fit test | Fligner-Killeen test of variance homogeneity, rank-based variance homogeneity test, Fligner-Killeen Varyans Homojenliği Testi |
| مرتبط | 5 | 5 |
| خلاصه≠ | The Anderson-Darling test is an empirical distribution function (EDF) goodness-of-fit test, introduced by Anderson and Darling in 1952, that checks whether a continuous sample comes from a specified distribution such as the normal, exponential, or Weibull. By weighting deviations more heavily in the tails, it detects departures in the distribution's extremes more powerfully than the Kolmogorov-Smirnov test. | 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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