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Optimal designs for additive mixture model with heteroscedastic errors |
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| Authors: | Fei Yan Heng Peng |
| Affiliation: | 1. Department of Statistics, Guangzhou University, Guangzhou, China;2. Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong |
| Abstract: | This paper presents a study of D- and A-optimality of direct sum designs for additive mixture models when the errors are heteroscedastic. Sufficient conditions are given so that D- and A-optimal designs for additive mixture models can be constructed from the D- and A-optimal designs for homogeneous models in sub-mixture systems. |
| Keywords: | A-optimality additive mixture models D-optimality direct sum design heteroscedasticity mixture experiments. |