The Open Mathematics, Statistics and Probability Journal
2009, 1 : 1-2Published online 2009 January 6. DOI: 10.2174/1876527000901010001
Publisher ID: TOSPJ-1-1
An Unusual Preferences Among Regression Designs
Department of Statistics and Econometrics, Maria Curie-Skodowska University, Pl. Marii Curie-Skodowskiej 5, 20-031
Lublin, Poland.
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.