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| 共分散分析(ANCOVA)× | 一元配置分散分析× | 対応のあるt検定× | |
|---|---|---|---|
| 分野 | 統計学 | 統計学 | 統計学 |
| 系統 | Hypothesis test | Hypothesis test | Hypothesis test |
| 提唱年≠ | 1932 | 1925 | 1908 |
| 提唱者≠ | Ronald A. Fisher | Ronald A. Fisher | Student (W. S. Gosset) |
| 種類≠ | Parametric group comparison with covariate control | Parametric mean comparison | Parametric mean comparison (paired) |
| 原典≠ | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ | Field, A. (2013). Discovering Statistics Using IBM SPSS Statistics (4th ed.). SAGE. ISBN: 978-1446249185 |
| 別名≠ | analysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi) | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA | dependent samples t-test, repeated measures t-test, matched-pairs t-test, eşleştirilmiş örneklem t-testi |
| 関連 | 4 | 4 | 4 |
| 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). | One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925. | The paired samples t-test is a parametric hypothesis test that compares two measurements taken on the same subjects — such as a before and after reading — to decide whether the average change differs from zero. It rests on the t-distribution introduced by Student (W. S. Gosset) in 1908 and works on the within-subject difference scores rather than the raw measurements. |
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