MSpace - DSpace at UofM >
Faculty of Graduate Studies (Electronic Theses and Dissertations) >
FGS - Electronic Theses & Dissertations (Public) >

Please use this identifier to cite or link to this item: http://hdl.handle.net/1993/9232

Title: Construction of optimal designs in polynomial regression models
Authors: Zhu, Chao
Supervisor: Saumen, Mandal(Statistics)
Examining Committee: Xikui, Wang(Statistics) Saumen, Mandal(Statistics) Srimantoorao, Appadoo(Supply Chain Management)
Graduation Date: February 2013
Keywords: optimal
designs
Issue Date: 3-Oct-2012
Abstract: We consider a class of optimization problems in which the aim is to find some optimizing probability distributions. One particular example is optimal design. We first review the optimal design theory, and determine the optimality conditions using directional derivatives. We then construct optimal designs for various polynomial regression models by finding the analytic solutions and by using a class of algorithms. We consider a practical problem, namely a radiation-dosage example, and discuss important aspects of optimal design throughout this example. We also construct optimal designs for various polynomial regression models with more than one design variable. We consider another practical problem, namely a vocabulary-growth study. We then construct D-optimal and c-optimal designs for various models with and without the interaction term and the second order terms in design variables. We also develop strategies for constructing designs by using the properties of the directional derivatives.
URI: http://hdl.handle.net/1993/9232
Appears in Collection(s):FGS - Electronic Theses & Dissertations (Public)

Files in This Item:

File Description SizeFormat
Thesis_ChaoZhu_FinalVersion_to_FGS_new_version.pdf649.78 kBAdobe PDFView/Open
View Statistics

Items in MSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 

Valid XHTML 1.0! MSpace Software Copyright © 2002-2010  Duraspace - Feedback