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Analisis Kovarians (ANCOVA)×Analisis Kovarians Multivariat (MANCOVA)×Analisis Varians Satu Hala×Ujian-t Welch (varian tidak sama)×
BidangStatistikStatistikStatistikStatistik
KeluargaHypothesis testHypothesis testHypothesis testHypothesis test
Tahun asal1932197019251947
PengasasRonald A. FisherExtension of MANOVA and ANCOVA traditions; consolidated in multivariate textbooks by the 1970s–1980sRonald A. FisherB. L. Welch
JenisParametric group comparison with covariate controlParametric multivariate mean comparison with covariate controlParametric mean comparisonParametric mean comparison (unequal variances)
Sumber perintisTabachnick, 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 ↗Welch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34(1/2), 28–35. DOI ↗
Aliasanalysis 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 ANOVAunequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans)
Berkaitan4544
RingkasanANCOVA 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.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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ScholarGateBandingkan kaedah: ANCOVA · MANCOVA · One-way ANOVA · Welch t-test. Dicapai 2026-06-20 daripada https://scholargate.app/ms/compare