Optimal designs for segmented polynomial regression models and web-based implementation of optimal design software
by Wu, XiangFeng, Ph.D., STATE UNIVERSITY OF NEW YORK AT STONY BROOK, 2007, 81 pages; 3337619

Abstract:

The segmented polynomial regression model is a special type of polynomial models in that it typically consists of piecewise polynomial sub models. Little research has been done on the optimal designs for segmented polynomial models, particularly for models with heteroscedastic variances. The primary objective of this paper is presenting the up-to-date findings in the optimal design theory for segmented polynomial models and their applications. It is shown that under certain conditions, D-optimal designs for the entire segmented polynomial models are associated with the individual D-optimal designs for the piecewise polynomial sub models. The relation between the overall D-optimal designs and individual D-optimal designs is established subsequently. In addition, we show that in some cases the locally D-optimal designs for a class of segmented polynomial models with nonlinear parameterization are the same as the D-optimal designs for another class of segmented polynomial models with linear parameterization. Secondarily, we present the construction of a unique optimal-design website, on which various web-based optimal design software are incorporated. The ideas and technologies on the implementation are also covered in details in this paper.

 
Advisor
SchoolSTATE UNIVERSITY OF NEW YORK AT STONY BROOK
SourceDAI/B 69-11, p. , Jan 2009
Source TypeDissertation
SubjectsComputer science
Publication Number3337619
Adobe PDF Access the complete dissertation:
 

» This is an open access dissertation.
  Use the link below to access the full text PDF of this graduate work:
  http://gradworks.umi.com/3337619.pdf
  Use the link below to search and retrieve all open access dissertations:
  http://pqdtopen.proquest.com

About ProQuest Dissertations & Theses
With over 2.3 million records, the ProQuest Dissertations & Theses (PQDT) database is the most comprehensive collection of dissertations and theses in the world. It is the database of record for graduate research.

The database includes citations of graduate works ranging from the first U.S. dissertation, accepted in 1861, to those accepted as recently as last semester. Of the 2.3 million graduate works included in the database, ProQuest offers more than 1.9 million in full text formats. Of those, over 860,000 are available in PDF format. More than 60,000 dissertations and theses are added to the database each year.

If you have questions, please feel free to visit the ProQuest Web site - http://www.proquest.com - or call ProQuest Hotline Customer Support at 1-800-521-3042.