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独立標本t検定×共分散構造を持つ多変量分散分析(MANCOVA)×多変量重回帰分析×
分野統計学統計学統計学
系統Hypothesis testHypothesis testRegression model
提唱年190819702007
提唱者Student (W. S. Gosset)Extension of MANOVA and ANCOVA traditions; consolidated in multivariate textbooks by the 1970s–1980sJohnson & Wichern (textbook treatment); classical multivariate least squares
種類Parametric mean comparisonParametric multivariate mean comparison with covariate controlMultivariate linear regression
原典Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗Tabachnick, B. G. & Fidell, L. S. (2019). Using Multivariate Statistics (7th ed.). Pearson. ISBN: 978-0134790541Johnson, R. A. & Wichern, D. W. (2007). Applied Multivariate Statistical Analysis (6th ed.). Pearson. ISBN: 978-0131877153
別名student t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testiMANCOVA, multivariate ANCOVA, MANOVA with covariates, MANCOVA — Çok Değişkenli Kovaryans Analizimultivariate multiple regression, MLR with multiple dependent variables, multiple-outcome regression, Çok Değişkenli Regresyon (MLR — Çoklu DV)
関連455
概要The independent samples t-test is a parametric hypothesis test that compares the means of two independent groups to decide whether they differ significantly. It builds on the t-distribution introduced by Student (W. S. Gosset) in 1908 and assumes the measured values are continuous, approximately normally distributed, and have equal variances.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).Multivariate regression is a linear regression method that predicts several continuous dependent variables at the same time from a shared set of predictors. As developed in standard treatments such as Johnson and Wichern's Applied Multivariate Statistical Analysis (2007), each response equation can be fitted by ordinary least squares while the covariance structure of the residuals is used for joint testing across outcomes.
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ScholarGate手法を比較: Independent t-test · MANCOVA · Multivariate Regression. 2026-06-20に以下より取得 https://scholargate.app/ja/compare