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D-optimum designs in multi-factor models with heteroscedastic errors

Institution:	1. Servicio de Urología, Hospital Clínico Universitario Virgen de la Arrixaca, Murcia, España;2. Servicio de Urología, Fundación Instituto Valenciano de Oncología, Valencia, España;3. Servicio de Radiodiagnóstico, Fundación Instituto Valenciano de Oncología, Valencia, España;4. Departamento de Matemática Aplicada, Universidad de Almería, Almería, España;1. Sasol Group Technology Research and Technology, 1 Klasie Havenga Road, Sasolburg, 1947, South Africa;2. Department of Statistical Sciences, University of Cape Town, Private Bag X3, Rondebosch 7701, South Africa

Abstract:	This paper considers the construction of D-optimum designs for Kronecker product and additive regression models when the errors are heteroscedastic. Sufficient conditions are given so that D-optimum designs for the multi-factor models can be built from D-optimum designs for their sub-models with a single factor. A robustness study is included to investigate how design efficiencies change when the efficiency functions are miss-specified.

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