Statistics – Methodology
Scientific paper
2010-05-12
Statistics
Methodology
17 pages, 4 figures
Scientific paper
We consider an experiment with two qualitative factors at 2 levels each and a binary response, that follows a generalized linear model. In Mandal, Yang and Majumdar (2010) we obtained basic results and characterizations of locally D-optimal designs for special cases. As locally optimal designs depend on the assumed parameter values, a critical issue is the sensitivity of the design to misspecification of these values. In this paper we study the sensitivity theoretically and by simulation, and show that the optimal designs are quite robust. We use the method of cylindrical algebraic decomposition to obtain locally D-optimal designs in the general case.
Majumdar Dibyen
Mandal Abhyuday
Yang Jie
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