English

Optimal Designs for Two-Level Factorial Experiments with Binary Response

Methodology 2015-03-13 v2 Statistics Theory Statistics Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1003.1557,
  title  = {Optimal Designs for Two-Level Factorial Experiments with Binary Response},
  author = {Abhyuday Mandal and Jie Yang and Dibyen Majumdar},
  journal= {arXiv preprint arXiv:1003.1557},
  year   = {2015}
}

Comments

15 pages, 2 figures

R2 v1 2026-06-21T14:54:54.142Z