The efficiency factorization multiplier for the Watson efficiency in partitioned linear models: some examples and a literature review

dc.contributor.authorChu, Ka Lok
dc.contributor.authorIsotalo, Jarkko
dc.contributor.authorPuntanen, Simo
dc.contributor.authorStyan, George P.H.
dc.date.accessioned2013-05-16T04:48:53Z
dc.date.available2013-05-16T04:48:53Z
dc.date.issued2005
dc.description.abstractWe consider partitioned linear models where the model matrix X = (X1 : X2) has full column rank, and concentrate on the special case whereX0 1X2 = 0 when we say that the model is orthogonally partitioned. We assume that the underlying covariance matrix is positive definite and introduce the efficiency factorization multiplier which relates the total Watson efficiency of ordinary least squares to the product of the two subset Watson efficiencies. We illustrate our findings with several examples and present a literature review.en
dc.identifier.citationChu, K.L., Isotalo, J., Puntanen, S., Styan, G.P.H. (2005), The efficiency factorization multiplier for the Watson efficiency in partitioned linear models: some examples and a literature review, Research Letters in the Information and Mathematical Sciences, 8, 165-187en
dc.identifier.issn1175-2777
dc.identifier.urihttp://hdl.handle.net/10179/4466
dc.language.isoenen
dc.publisherMassey Universityen
dc.subjectWatson efficiencyen
dc.subjectPartitioned linear modelsen
dc.titleThe efficiency factorization multiplier for the Watson efficiency in partitioned linear models: some examples and a literature reviewen
dc.typeArticleen
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