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协方差多变量分析 (MANCOVA)×Welch's t检验(方差不齐)×
领域统计学统计学
方法族Hypothesis testHypothesis test
起源年份19701947
提出者Extension of MANOVA and ANCOVA traditions; consolidated in multivariate textbooks by the 1970s–1980sB. L. Welch
类型Parametric multivariate mean comparison with covariate controlParametric mean comparison (unequal variances)
开创性文献Tabachnick, B. G. & Fidell, L. S. (2019). Using Multivariate Statistics (7th ed.). Pearson. ISBN: 978-0134790541Welch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34(1/2), 28–35. DOI ↗
别名MANCOVA, multivariate ANCOVA, MANOVA with covariates, MANCOVA — Çok Değişkenli Kovaryans Analiziunequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans)
相关54
摘要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).Welch's t-test is a parametric hypothesis test that compares the means of two independent groups without assuming their variances are equal. It was introduced by B. L. Welch in 1947 as a more robust generalization of Student's two-sample test for situations where the two groups have different spread.
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ScholarGate方法对比: MANCOVA · Welch t-test. 于 2026-06-20 检索自 https://scholargate.app/zh/compare