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다변량 분산 분석 (MANOVA)×독립 표본 t-검정×
분야통계학통계학
계열Hypothesis testHypothesis test
기원 연도19321908
창시자Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.)Student (W. S. Gosset)
유형Parametric multivariate mean comparisonParametric mean comparison
원전Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗
별칭Multivariate ANOVA, Çok Değişkenli ANOVA (MANOVA)student t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi
관련54
요약MANOVA 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.The 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.
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