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Двупосочен анализ на дисперсията (Two-Way ANOVA)×Дисперсионен анализ на Уелч×
ОбластСтатистикаСтатистика
СемействоHypothesis testHypothesis test
Година на възникване19251951
СъздателRonald A. FisherB. L. Welch
ТипParametric factorial mean comparisonParametric mean comparison (heteroscedastic)
Основополагащ източникMontgomery, 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 ↗
Други названияfactorial ANOVA, two-factor ANOVA, İki Yönlü ANOVAWelch's F-test, heteroscedastic one-way ANOVA, Welch ANOVA — Heterojen Varyans ANOVA
Свързани63
РезюмеTwo-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.
ScholarGateНабор от данни
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ScholarGateСравнение на методи: Two-Way ANOVA · Welch ANOVA. Извлечено на 2026-06-18 от https://scholargate.app/bg/compare