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A-optimal designs for heteroscedastic multifactor regression models |
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| Authors: | Carmelo Rodríguez Isabel Ortiz Ignacio Martínez |
| Affiliation: | 1. Department of Mathematics, University of Almería, Almería, Spaincrt@ual.es;3. Department of Mathematics, University of Almería, Almería, Spain |
| Abstract: | AbstractThis paper searches for A-optimal designs for Kronecker product and additive regression models when the errors are heteroscedastic. Sufficient conditions are given so that A-optimal designs for the multifactor models can be built from A-optimal designs for their sub-models with a single factor. The results of an efficiency study carried out to check the adequacy of the products of optimal designs for uni-factor marginal models when these are used to estimate different multi-factor models are also reported. |
| Keywords: | A-optimality Optimal design Product design Additive models Heteroscedastic model Kronecker product models Weighted polynomial regression |