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| 共分散分析（ANCOVA）× | ホテリングのT²検定× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Hypothesis test | Hypothesis test |
| 提唱年≠ | 1932 | 1931 |
| 提唱者≠ | Ronald A. Fisher | Harold Hotelling |
| 種類≠ | Parametric group comparison with covariate control | Multivariate parametric mean comparison |
| 原典≠ | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 | Hotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378. link ↗ |
| 別名 | analysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi) | Hotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squared |
| 関連≠ | 4 | 6 |
| 概要≠ | ANCOVA is a parametric hypothesis test that compares the adjusted means of two or more independent groups while statistically controlling for one or more continuous covariates. By removing the portion of outcome variance explained by the covariate, ANCOVA increases statistical precision and produces fairer group comparisons. The method builds on the general linear model framework consolidated by Fisher in the early 1930s and is described comprehensively by Tabachnick and Fidell (2013). | Hotelling's T² test is a multivariate parametric hypothesis test that simultaneously compares the mean vectors of two independent groups across multiple continuous outcome variables. It was introduced by Harold Hotelling in 1931 as the direct multivariate generalization of Student's t-test, replacing the scalar mean difference with a vector difference scaled by the pooled variance-covariance matrix. |
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