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Phân tích hiệp phương sai (ANCOVA)×Kiểm định H Kruskal-Wallis×Kiểm định t của Welch (phương sai không bằng nhau)×
Lĩnh vựcThống kêThống kêThống kê
HọHypothesis testHypothesis testHypothesis test
Năm ra đời193219521947
Người khởi xướngRonald A. FisherWilliam Kruskal & W. Allen WallisB. L. Welch
LoạiParametric group comparison with covariate controlNonparametric group comparisonParametric mean comparison (unequal variances)
Công trình gốcTabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574Kruskal, W. H. & Wallis, W. A. (1952). Use of ranks in one-criterion variance analysis. Journal of the American Statistical Association, 47(260), 583–621. DOI ↗Welch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34(1/2), 28–35. DOI ↗
Tên gọi khácanalysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi)Kruskal-Wallis H test, one-way ANOVA on ranks, Kruskal-Wallis one-way analysis of variance, Kruskal-Wallis Testiunequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans)
Liên quan454
Tóm tắtANCOVA 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).The Kruskal-Wallis H test is a nonparametric hypothesis test that compares three or more independent groups to decide whether their distributions (typically their medians) differ. Introduced by William Kruskal and W. Allen Wallis in 1952, it works on ranks rather than raw values and is the distribution-free counterpart to one-way ANOVA.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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ScholarGateSo sánh phương pháp: ANCOVA · Kruskal-Wallis test · Welch t-test. Truy cập ngày 2026-06-20 từ https://scholargate.app/vi/compare