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آزمون تی نمونه‌های مستقل×تحلیل کوواریانس چندمتغیره (MANCOVA)×رگرسیون چندمتغیره خطی چندگانه×
حوزهآمارآمارآمار
خانوادهHypothesis testHypothesis testRegression model
سال پیدایش190819702007
پدیدآورStudent (W. S. Gosset)Extension of MANOVA and ANCOVA traditions; consolidated in multivariate textbooks by the 1970s–1980sJohnson & Wichern (textbook treatment); classical multivariate least squares
نوعParametric mean comparisonParametric multivariate mean comparison with covariate controlMultivariate linear regression
منبع بنیادینStudent (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
نام‌های دیگرstudent 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)
مرتبط455
خلاصهThe 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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ScholarGateمقایسهٔ روش‌ها: Independent t-test · MANCOVA · Multivariate Regression. بازیابی‌شده در 2026-06-20 از https://scholargate.app/fa/compare