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Independent Samples t-test×Phân tích Phương sai Đa biến (MANOVA)×Hồi quy tuyến tính bội đa biến×
Lĩnh vựcThống kêThống kêThống kê
HọHypothesis testHypothesis testRegression model
Năm ra đời190819322007
Người khởi xướngStudent (W. S. Gosset)Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.)Johnson & Wichern (textbook treatment); classical multivariate least squares
LoạiParametric mean comparisonParametric multivariate mean comparisonMultivariate linear regression
Công trình gốcStudent (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574Johnson, R. A. & Wichern, D. W. (2007). Applied Multivariate Statistical Analysis (6th ed.). Pearson. ISBN: 978-0131877153
Tên gọi khácstudent t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testiMultivariate ANOVA, Çok Değişkenli ANOVA (MANOVA)multivariate multiple regression, MLR with multiple dependent variables, multiple-outcome regression, Çok Değişkenli Regresyon (MLR — Çoklu DV)
Liên quan455
Tóm tắtThe 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.MANOVA is a parametric hypothesis test that simultaneously compares group means across multiple continuous dependent variables, controlling the inflation of Type I error that would result from running separate ANOVAs. Key multivariate test statistics — Wilks' Lambda, Pillai's Trace, Hotelling-Lawley Trace, and Roy's Greatest Root — were developed between the 1930s and 1950s, with Wilks' Lambda formalised by Samuel Stanley Wilks in 1932.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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ScholarGateSo sánh phương pháp: Independent t-test · MANOVA · Multivariate Regression. Truy cập ngày 2026-06-20 từ https://scholargate.app/vi/compare