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| フランガー・キリーン分散均一性検定× | ムーディーの中央値検定× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1976 | 1954 |
| 提唱者≠ | Michael A. Fligner & Timothy J. Killeen | A. M. Mood |
| 種類≠ | Rank-based test for homogeneity of variances | Nonparametric median comparison |
| 原典≠ | 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 ↗ | Mood, A. M. (1954). On the Asymptotic Efficiency of Certain Nonparametric Two-Sample Tests. Annals of Mathematical Statistics, 25(3), 514-522. DOI ↗ |
| 別名 | Fligner-Killeen test of variance homogeneity, rank-based variance homogeneity test, Fligner-Killeen Varyans Homojenliği Testi | median test, Brown-Mood median test, Mood Medyan Testi |
| 関連≠ | 5 | 3 |
| 概要≠ | 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. | Mood's median test is a nonparametric procedure that compares the medians of k independent groups by counting how many observations in each group fall above and below the pooled (grand) median, then applying a chi-square test to the resulting 2×k contingency table. It traces to A. M. Mood's 1954 work on nonparametric two-sample tests. |
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