A-optimal designs for mixture central polynomial model with qualitative factors

Abstract

Mixture central polynomial models with qualitative factors are widely applied in many fields of research. In this paper, a method of finding A-optimal design for two degree mixture central polynomial model with qualitative factors will be proposed. The variance function will be given for getting the support points of the design. The A-optimality is confirmed by the equivalence theorem. In addition, this method also works effectively with higher degree models.

Keywords:

• A-optimal design
• mixture central polynomial
• qualitative factor

Mathematics Subject Classifications:

• 62K05
• 62K99

Acknowledgement

We would like to thank the referees and the journal editorial team for providing valuable advice that improved the quality of the original manuscript.

Additional information

Funding

This work is supported by National Nature Sciences Foundation of China (11671104).