Additional variables and adjusted estimates with arbitrary known variance-covariance structure |
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Authors: | R Schall TT Dunne |
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Institution: | 1. Messerschmitt-B?lkow-Blohm Gmbh , München , D-8000;2. University of Cape Town , Rondebosch , 7700 , RSA |
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Abstract: | When additional variables are fitted in a linear model under arbitrary known variance-covariance struture, the extra sum of squares due to fitting the new variables and adjusted parameter estimates can be computed in an efficient manner without actually explicity fitting the entire augmented model. When the additional variables are specific dummy variables, downdating formulae are readily obtained, thus generatina methods which are well known for the linear model with variance-covariance structure σ2I. Two different methods to downdate a linear model are presented. |
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Keywords: | arbitrary variance additional variables extra sum of squares downdating formulae |
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