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共分散分析(ANCOVA)×共分散構造を持つ多変量分散分析(MANCOVA)×一元配置分散分析×
分野統計学統計学統計学
系統Hypothesis testHypothesis testHypothesis test
提唱年193219701925
提唱者Ronald A. FisherExtension of MANOVA and ANCOVA traditions; consolidated in multivariate textbooks by the 1970s–1980sRonald A. Fisher
種類Parametric group comparison with covariate controlParametric multivariate mean comparison with covariate controlParametric mean comparison
原典Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574Tabachnick, B. G. & Fidell, L. S. (2019). Using Multivariate Statistics (7th ed.). Pearson. ISBN: 978-0134790541Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗
別名analysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi)MANCOVA, multivariate ANCOVA, MANOVA with covariates, MANCOVA — Çok Değişkenli Kovaryans Analizione-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA
関連454
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).MANCOVA (Multivariate Analysis of Covariance) is a parametric hypothesis test that simultaneously compares two or more groups on multiple continuous dependent variables while statistically controlling for one or more covariates. It extends MANOVA by incorporating covariate adjustment, a tradition consolidated in multivariate statistical methodology by the 1970s and authoritatively documented by Tabachnick and Fidell (2019).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.
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ScholarGate手法を比較: ANCOVA · MANCOVA · One-way ANOVA. 2026-06-20に以下より取得 https://scholargate.app/ja/compare