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| フランガー・キリーン分散均一性検定× | バートレットの分散均一性検定× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統≠ | Regression model | Hypothesis test |
| 提唱年≠ | 1976 | 1937 |
| 提唱者≠ | Michael A. Fligner & Timothy J. Killeen | Maurice Stevenson Bartlett |
| 種類≠ | Rank-based test for homogeneity of variances | Parametric variance homogeneity test |
| 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 ↗ | Bartlett, M. S. (1937). Properties of sufficiency and statistical tests. Proceedings of the Royal Society of London. Series A, 160(901), 268–282. DOI ↗ |
| 別名≠ | Fligner-Killeen test of variance homogeneity, rank-based variance homogeneity test, Fligner-Killeen Varyans Homojenliği Testi | Bartlett's Chi-Square Test, Test for Equality of Variances, Bartlett's Homogeneity Test, Varyans Homojenliği Testi |
| 関連≠ | 5 | 2 |
| 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. | Bartlett's Test is a classical parametric procedure for testing whether two or more independent groups share a common population variance. Introduced by Maurice Stevenson Bartlett in 1937, it formalises the null hypothesis that all group variances are equal by constructing a chi-square statistic from the ratio of pooled to individual group variances. It is a standard pre-analysis step before applying ANOVA or other procedures whose validity depends on the homoscedasticity assumption. |
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