RESEARCH ARTICLE
An Unusual Preferences Among Regression Designs
Krystyna Maciag*
Department of Statistics and Econometrics, Maria Curie-Skodowska University, Pl. Marii Curie-Skodowskiej 5, 20-031
Lublin, Poland.
Article Information
Identifiers and Pagination:
Year: 2009Volume: 1
First Page: 1
Last Page: 2
Publisher Id: TOSPJ-1-1
DOI: 10.2174/1876527000901010001
Article History:
Received Date: 5/10/2008Revision Received Date: 23/10/2008
Acceptance Date: 3/12/2008
Electronic publication date: 6/1/2009
Collection year: 2009
© 2009 Maciag et al.;
open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Abstract
Consider the classical regression design with one explanatory variable taking values x = (x1 ,…, xn)' and an alternative design based on Tx, where T = In - 1/n 1n 1'n. We reveal an interesting phenomenon that the second design is better, from many reasonable points of view, than the initial one.
Keywords: Linear regression, one explanatory variable, variable transformation, design preference.