An Unusual Preferences Among Regression Designs
Identifiers and Pagination:Year: 2009
First Page: 1
Last Page: 2
Publisher Id: TOSPJ-1-1
Article History:Received Date: 5/10/2008
Revision Received Date: 23/10/2008
Acceptance Date: 3/12/2008
Electronic publication date: 6/1/2009
Collection year: 2009
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.
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.