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| 正規性リリフォース検定× | 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≠ | 1967 | 1954 |
| 提唱者≠ | Hubert W. Lilliefors | A. M. Mood |
| 種類≠ | Goodness-of-fit / normality test | Nonparametric median comparison |
| 原典≠ | Lilliefors, H. W. (1967). On the Kolmogorov-Smirnov Test for Normality with Mean and Variance Unknown. Journal of the American Statistical Association, 62(318), 399-402. 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 | Lilliefors corrected Kolmogorov-Smirnov test, Lilliefors normality test, Lilliefors Testi | median test, Brown-Mood median test, Mood Medyan Testi |
| 関連≠ | 5 | 3 |
| 概要≠ | The Lilliefors test is a goodness-of-fit test that checks whether a continuous sample comes from a normal (or exponential) distribution when the mean and variance are unknown and estimated from the data. Introduced by Hubert W. Lilliefors in 1967, it adjusts the critical values of the Kolmogorov-Smirnov test so that they remain valid once the distribution's parameters are estimated rather than known in advance. | 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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