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Download fileOn Locally Optimal Designs for Generalized Linear Models with Group Effects
journal contribution
posted on 2013-12-13, 00:00 authored by John Stufken, Min YangGeneralized 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 ScienceLanguage
- en_US