Optimal Designs for Two-Level Factorial Experiments with Binary Response

Details Optimal Designs for Two-Level Factorial Experiments with Binary Response Optimal Designs for Two-Level Factorial Experiments with Binary Response

2010-03-08

arxiv.org/abs/1003.1557v2

Statistics

Methodology

15 pages, 2 figures

Scientific paper

We consider the problem of obtaining locally D-optimal designs for factorial experiments with qualitative factors at two levels each with binary response. Our focus is primarily on the 2^2 experiment. In this paper, we derive analytic results for some special cases and indicate how to handle the general case. The performance of the uniform design in examined and we show that this design is highly efficient in general. For the general 2^k case we show that the uniform design has a maximin property.

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