In the paper, we consider the linear regression model of the first degree on the vertices ofthe d-dimensional unit cube and its extension by an intercept term, which can be used, e.g.,to model unbiased or biased weighing of d objects on a spring balance. In both settings, wecan restrict our search for approximate optimal designs to the convex combinations of theso-called j-vertex designs. In the paper we focus on the designs that are criterion robustin the sense of maximin efficiency within the class of all orthogonally invariant informationfunctions, involving the criteria of D-, A-, E-optimality and many others. For the modelof unbiased weighing we give analytic formulae for the maximin efficient design, and forthe biased model we present numerical results based on the application of the methods ofsemidefinite programming.
@article{141,
title = {Criterion-robust designs for the models of spring balance weighing},
journal = {Tatra Mountains Mathematical Publications},
volume = {51},
year = {2012},
doi = {10.2478/tatra.v51i1.141},
language = {EN},
url = {http://dml.mathdoc.fr/item/141}
}
Filová, Lenka; Harman, Radoslav. Criterion-robust designs for the models of spring balance weighing. Tatra Mountains Mathematical Publications, Tome 51 (2012) . doi : 10.2478/tatra.v51i1.141. http://gdmltest.u-ga.fr/item/141/