ANOVA Models with Generalized Inverses

Wolfgang Polasek, Shuangzhe Liu

Research output: A Conference proceeding or a Chapter in BookChapterpeer-review


The 2-way ANOVA model is analyzed with generalized matrix or ginverses. We derive the co-called OLS− and OLS+ estimators of the rank deficient ANOVA model. The new g-inverses lead to two simple effects in a two-way ANOVA model: column means and adjusted row means or vice versa: row means and adjusted column means. For the F- Test this parameterizations is invariant.
Original languageEnglish
Title of host publicationData Analysis and Decision Support
EditorsDaniel Baier, Reinhold Decker, Lars Schmidt-Thieme
Place of PublicationGermany
Number of pages9
ISBN (Electronic)9783540283973
ISBN (Print)9783540260073
Publication statusPublished - 2006


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