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تحلیل کوواریانس (ANCOVA)×Hotelling's T² Test×
حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19321931
پدیدآورRonald A. FisherHarold Hotelling
نوعParametric group comparison with covariate controlMultivariate parametric mean comparison
منبع بنیادینTabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574Hotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378. link ↗
نام‌های دیگرanalysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi)Hotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squared
مرتبط46
خلاصهANCOVA 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).Hotelling's T² test is a multivariate parametric hypothesis test that simultaneously compares the mean vectors of two independent groups across multiple continuous outcome variables. It was introduced by Harold Hotelling in 1931 as the direct multivariate generalization of Student's t-test, replacing the scalar mean difference with a vector difference scaled by the pooled variance-covariance matrix.
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ScholarGateمقایسهٔ روش‌ها: ANCOVA · Hotelling's T² Test. بازیابی‌شده در 2026-06-20 از https://scholargate.app/fa/compare