posted on 2013-12-13, 00:00authored byJohn Stufken, Min Yang
Generalized linear models with group effects are commonly used in scientific
studies. However, there appear to be no results for selecting optimal designs.
In this paper, we identify the structure of locally optimal designs, provide a general
strategy to determine the design points and the corresponding weights for optimal
designs, and present theoretical results for the special case of D-optimality. The
results can be applied to many commonly studied models, including the logistic,
probit, and loglinear models. The design region can be restricted or unrestricted,
and the results can also be applied for a multi-stage approach.
Funding
Research was partially supported by NSF grants DMS-0706917 and DMS-
1007507 (for JS); and by NSF grants DMS-0707013 and DMS-0748409 (for MY).