Abhyuday Mandal : Optimal Designs for Two-Level Factorial Experiments with Binary Response

Posted by , part of the Statistics and Data Science Seminar.

At

Feb. 16, 2011, 3 p.m.

In

SEO 636

Abstract

We consider the problem of obtaining locally D-optimal designs for factorial experiments with qualitative factors at two levels each with binary response. For the 2^2 factorial experiment with main effects model we obtain optimal designs analytically in special cases and demonstrate how to obtain a solution in the general case using Cylindrical Algebraic Decomposition. We also study the sensitivity of the D-optimal designs to misspecification of the assumed parameter values. When there is no basis to make an informed choice of the assumed values, we recommend the use of the uniform design. For the general 2^k case we show that the uniform design has a maximin property.