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arXiv · 1504.06226

Optimal design of experiments via linear programming

Katarina Burclova·Andrej Pazman
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Abstract

We investigate the possibility of extending some results of Pazman and Pronzato (2014) to a larger set of optimality criteria. Namely, in a linear regression model the problem of computing D-, A-, E_k-optimal designs, of combining these optimality criteria, and the "criterion robust" problem of Harman (2004) are reformulated here as "infinite-dimensional" linear programming problems. Approximate optimum designs can then be computed by a modified cutting-plane method, and this is checked on examples. Finally, the expressions for these criteria are reformulated in terms of the response function of an even nonlinear model.

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Katarina Burclova, Andrej Pazman. 2015-04-23. Optimal design of experiments via linear programming. https://arxiv.org/abs/1504.06226

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