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이원 분산 분석 (Two-Way ANOVA)×Welch 분산 분석×
분야통계학통계학
계열Hypothesis testHypothesis test
기원 연도19251951
창시자Ronald A. FisherB. L. Welch
유형Parametric factorial mean comparisonParametric mean comparison (heteroscedastic)
원전Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478Welch, B.L. (1951). On the Comparison of Several Mean Values. Biometrika, 38(3/4), 330–336. link ↗
별칭factorial ANOVA, two-factor ANOVA, İki Yönlü ANOVAWelch's F-test, heteroscedastic one-way ANOVA, Welch ANOVA — Heterojen Varyans ANOVA
관련63
요약Two-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.Welch ANOVA is a parametric hypothesis test that compares the means of three or more independent groups when their variances are not equal. Introduced by B. L. Welch in 1951, it replaces classic one-way ANOVA whenever the homogeneity-of-variance assumption fails, while still requiring approximately normal data.
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