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Двофакторний дисперсійний аналіз (Two-Way ANOVA)×Багатовимірний дисперсійний аналіз (MANOVA)×
ГалузьСтатистикаСтатистика
РодинаHypothesis testHypothesis test
Рік появи19251932
Автор методуRonald A. FisherSamuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.)
ТипParametric factorial mean comparisonParametric multivariate mean comparison
Основоположне джерелоMontgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574
Інші назвиfactorial ANOVA, two-factor ANOVA, İki Yönlü ANOVAMultivariate ANOVA, Çok Değişkenli ANOVA (MANOVA)
Пов'язані65
ПідсумокTwo-Way ANOVA is a parametric hypothesis test that simultaneously examines the main effects of two independent categorical factors and their interaction effect on a single continuous dependent variable. The technique was developed within the broader framework of the analysis of variance established by Ronald A. Fisher in 1925 and remains the standard approach whenever an experiment or survey includes exactly two between-subjects factors.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.
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ScholarGateПорівняння методів: Two-Way ANOVA · MANOVA. Отримано 2026-06-18 з https://scholargate.app/uk/compare