Polynomial regression in $q$ variables of degree $n$ on the $q$-cube is considered. Approximate $D$-optimal and approximate $D_s$-optimal designs for estimating higher degree terms are investigated. Numerical results are given for $n = 2$ with arbitrary $q$ and for $n = 3, 4, 5$ and $q = 2, 3$. Exact solutions are given within the class of product designs together with some efficiency calculations.
Publié le : 1988-09-14
Classification:
$D_s$-optimal designs,
symmetric designs,
product designs,
polynomial regression on the $q$-cube,
canonical moments,
62K05,
62J05
@article{1176350957,
author = {Lim, Yong B. and Studden, W. J.},
title = {Efficient $D\_s$-Optimal Designs for Multivariate Polynomial Regression on the $q$-Cube},
journal = {Ann. Statist.},
volume = {16},
number = {1},
year = {1988},
pages = { 1225-1240},
language = {en},
url = {http://dml.mathdoc.fr/item/1176350957}
}
Lim, Yong B.; Studden, W. J. Efficient $D_s$-Optimal Designs for Multivariate Polynomial Regression on the $q$-Cube. Ann. Statist., Tome 16 (1988) no. 1, pp. 1225-1240. http://gdmltest.u-ga.fr/item/1176350957/