Show simple item record

dc.contributor.authorJensen, D. R.en_US
dc.date.accessioned2017-09-18T09:53:22Z
dc.date.available2017-09-18T09:53:22Z
dc.date.issued2011-10-05
dc.identifier.citationD. R. Jensen, “Determinant Efficiencies in Ill-Conditioned Models,” Journal of Probability and Statistics, vol. 2011, Article ID 182049, 15 pages, 2011. doi:10.1155/2011/182049
dc.identifier.urihttp://hdl.handle.net/10919/79026
dc.description.abstractThe canonical correlations between subsets of OLS estimators are identifiedwith design linkage parameters between their regressors. Known collinearity indices are extended to encompass angles between each regressor vector and remaining vectors. One such angle quantifies the collinearity of regressors with the intercept, of concernin the corruption of all estimates due to ill-conditioning. Matrix identities factorize a determinant in terms of principal subdeterminants and the canonical Vector Alienation Coefficients between subset estimators—by duality, the Alienation Coefficients betweensubsets of regressors. These identities figure in the study of D and 𝐷𝑠 as determinant efficiencies for estimators and their subsets, specifically, 𝐷𝑠-efficiencies for the constant, linear, pure quadratic, and interactive coefficients in eight known small second-orderdesigns. Studies on D- and 𝐷𝑠-efficiencies confirm that designs are seldom efficient for both. Determinant identities demonstrate the propensity for 𝐷𝑠-inefficient subsets to be masked through near collinearities in overall D-efficient designs.
dc.format.mimetypeapplication/pdf
dc.language.isoenen_US
dc.publisherHindawien_US
dc.rightsCreative Commons Attribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleDeterminant Efficiencies in Ill-Conditioned Modelsen_US
dc.typeArticle - Refereed
dc.date.updated2017-09-18T09:53:22Z
dc.description.versionPeer Reviewed
dc.rights.holderCopyright © 2011 D. R. Jensen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
dc.identifier.doihttps://doi.org/10.1155/2011/182049
dc.type.dcmitypeText


Files in this item

Thumbnail
Thumbnail

This item appears in the following Collection(s)

Show simple item record

Creative Commons Attribution 4.0 International
License: Creative Commons Attribution 4.0 International