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Optimal Designs for Multi-Exponential Models with Covariance Structure

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thesis
posted on 24.10.2013, 00:00 by Jiewei Zeng
This article focuses on the number of support points in the optimal design class for multi-exponential regression models. A special design setup is proposed which allows different starting points for each subject. It serves as a useful tool when subjects have different timelines and offers more flexibilities compared to the usual clinical designs. Autocorrelated covariance structure is accommodated to address the correlations among different observations for a single subject. The upper bounds of the cardinality of design support have been determined for one-compartment PK model and bi-exponential model.

History

Advisor

Hedayat, Samad

Department

Mathematics, Statistics, and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

Doctoral

Committee Member

Yang, Min Wang, Jing Yang, Jie Freels, Sally

Submitted date

2013-08

Language

en

Issue date

24/10/2013

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