Statistics and Data Science Seminar
Abhyuday Mandal
University of Georgia
Optimal Designs for Two-Level Factorial Experiments with Binary Response
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.
Wednesday February 16, 2011 at 3:00 PM in SEO 636