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 22 experiment. In this paper, we derive analytic results for 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 2k case we show that the uniform design has a maximin property.

TR Number: 
Abhyuday Mandal, Jie Yang, Dibyen Majumdar
Key Words: 
Generalized linear model, full factorial design, D-optimality, information matrix, uniform design, cylindrical algebraic decomposition.

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