Two-way analysis of variance: Difference between revisions

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Revision as of 20:32, 3 September 2022

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==Assumptions==

Following [[Andrew Gelman|Gelman]] and [[Jennifer Hill|Hill]], the assumptions of the ANOVA, and more generally the [[general linear model]], are, in decreasing order of importance:<ref>{{cite book |last=Gelman |first=Andrew |last2=Hill |first2=Jennifer|author2-link=Jennifer Hill |date=18 December 2006 |title= Data Analysis Using Regression and Multilevel/Hierarchical Models |url=http://www.cambridge.org/us/academic/subjects/statistics-probability/statistical-theory-and-methods/data-analysis-using-regression-and-multilevelhierarchical-models |publisher=[[Cambridge University Press]] |pages=45–46 |isbn=978-0521867061 }}</ref>

# the data points are relevant with respect to the scientific question under investigation;

# the mean of the response variable is influenced additively (if not interaction term) and linearly by the factors;