Locally and maximin optimal designs for multi-factor nonlinear models

Abstract

This paper considers the search for locally and maximin optimal designs for multi-factor nonlinear models from optimal designs for sub-models of a lower dimension. In particular, sufficient conditions are given so that maximin D-optimal designs for additive multi-factor nonlinear models can be built from maximin D-optimal designs for their sub-models with a single factor. Some examples of application are models involving exponential decay in several variables.

Keywords:

• additive models
• locally D-optimal designs
• nonlinear regression models
• standardized maximin D-optimal designs

2000 Mathematics Subject Classification:

• 62K05

Acknowledgements

The authors would like to thank the anonymous reviewers for their constructive comments and suggestions which led to the improvement of this paper. This work has been supported by the Spanish Ministry of Economy and Competitiveness, under project MTM2010-20774-C03-03 and by EFRD (FEDER) funds.