Abstract
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.
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© 2005 Springer-Verlag Berlin · Heidelberg
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Polasek, W., Liu, S. (2005). ANOVA Models with Generalized Inverses. In: Baier, D., Decker, R., Schmidt-Thieme, L. (eds) Data Analysis and Decision Support. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28397-8_14
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DOI: https://doi.org/10.1007/3-540-28397-8_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26007-3
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