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การทดสอบทีสำหรับตัวอย่างอิสระ×การวิเคราะห์ความแปรปรวนร่วมหลายตัวแปร (MANCOVA)×การวิเคราะห์ความแปรปรวนร่วม (Multivariate Analysis of Variance - MANOVA)×Multivariate Regression×
สาขาวิชาสถิติศาสตร์สถิติศาสตร์สถิติศาสตร์สถิติศาสตร์
ตระกูลHypothesis testHypothesis testHypothesis testRegression model
ปีกำเนิด1908197019322007
ผู้ริเริ่มStudent (W. S. Gosset)Extension of MANOVA and ANCOVA traditions; consolidated in multivariate textbooks by the 1970s–1980sSamuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.)Johnson & Wichern (textbook treatment); classical multivariate least squares
ประเภทParametric mean comparisonParametric multivariate mean comparison with covariate controlParametric multivariate mean comparisonMultivariate linear regression
แหล่งต้นตำรับStudent (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: 978-0134790541Tabachnick, 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
ชื่อเรียกอื่นstudent t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testiMANCOVA, multivariate ANCOVA, MANOVA with covariates, MANCOVA — Çok Değişkenli Kovaryans AnaliziMultivariate ANOVA, Çok Değişkenli ANOVA (MANOVA)multivariate multiple regression, MLR with multiple dependent variables, multiple-outcome regression, Çok Değişkenli Regresyon (MLR — Çoklu DV)
ที่เกี่ยวข้อง4555
สรุปThe 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).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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ScholarGateเปรียบเทียบวิธี: Independent t-test · MANCOVA · MANOVA · Multivariate Regression. สืบค้นเมื่อ 2026-06-20 จาก https://scholargate.app/th/compare