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স্বাধীন নমুনা টি-পরীক্ষা×মাল্টিভেরিয়েট অ্যানালাইসিস অফ কোভেরিয়েন্স (MANCOVA)×মাল্টিভেরিয়েট অ্যানালাইসিস অফ ভ্যারিয়েন্স (MANOVA)×বহুমাত্রিক বহুচলক রৈখিক নির্ভরণ (Multivariate Multiple Linear Regression)×
ক্ষেত্রপরিসংখ্যানপরিসংখ্যানপরিসংখ্যানপরিসংখ্যান
পরিবারHypothesis testHypothesis testHypothesis testRegression model
উদ্ভবের বছর1908197019322007
প্রবর্তকStudent (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
ধরনParametric mean comparisonParametric multivariate mean comparison with covariate controlParametric multivariate mean comparisonMultivariate linear regression
মৌলিক উৎসStudent (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
অপর নামstudent 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)
সম্পর্কিত4555
সারসংক্ষেপThe 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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ScholarGateপদ্ধতির তুলনা করুন: Independent t-test · MANCOVA · MANOVA · Multivariate Regression. 2026-06-20 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare