Xianwei Bu : D-optimal Designs for Multinomial Logistic Models

Posted by Tian Tian , part of the Graduate Statistics Seminar.

At

Sept. 14, 2016, 3 p.m.

In

SEO 512

Abstract

Multinomial logistic models have been widely used for categorical responses or multinomial responses. In order to construct a general framework towards D-optimal designs for these models, we unify all the four models into a common form and extend them to fit different model assumptions. We explore the design space of these models, derive a simplified form of the Fisher information matrix, and obtain explicit formulas of its determinant. We also develop efficient numerical algorithms for searching D-optimal designs.