locallyoptimal.pdf (206.39 kB)
Download file

On Locally Optimal Designs for Generalized Linear Models with Group Effects

Download (206.39 kB)
journal contribution
posted on 13.12.2013, 00:00 authored by John 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).

History

Publisher Statement

This is a copy of an article published in the Statistica Sinica © 2012 Academia Sinica, Institute of Statistical Science. The original version is available through Academia Sinica, Institute of Statistical Science at DOI: 10.5705/ss.2010.261.

Publisher

Academia Sinica, Institute of Statistical Science

Language

en_US

issn

1017-0405

Issue date

01/10/2012

Usage metrics

Categories

Exports