Vol. 3, No. 3, 2010

Download this article
Download this article For screen
For printing
Recent Issues

Volume 10
Issue 3, 361–539
Issue 2, 181–360
Issue 1, 1–180

Volume 9, 5 issues

Volume 8, 5 issues

Volume 7, 6 issues

Volume 6, 4 issues

Volume 5, 4 issues

Volume 4, 4 issues

Volume 3, 4 issues

Volume 2, 5 issues

Volume 1, 2 issues

The Journal
Cover Page
Editorial Board
Editors’ Addresses
Editors’ Interests
About the Journal
Scientific Advantages
Submission Guidelines
Submission Form
Ethics Statement
Subscriptions
Editorial Login
Author Index
Coming Soon
Contacts
 
ISSN: 1944-4184 (e-only)
ISSN: 1944-4176 (print)
Curvature measures for nonlinear regression models using continuous designs with applications to optimal experimental design

Timothy O’Brien, Somsri Jamroenpinyo and Chinnaphong Bumrungsup

Vol. 3 (2010), No. 3, 317–332
Abstract

We present and illustrate the methodology to calculate curvature measures for continuous designs, and extend design criteria to incorporate continuous designs. These design algorithms include quadratic design procedures, a subset design criterion, a second-order mean-square error design criterion, and a marginal curvature design methodology. A discussion of confidence intervals is also provided for continuous designs.

Keywords
design measures, Fieller–Creasy problem, marginal curvature, model misspecification, nonlinearity, parameter subsets, robust designs
Mathematical Subject Classification 2000
Primary: 53A45, 62J02
Secondary: 62K05
Milestones
Received: 19 May 2010
Accepted: 13 June 2010
Published: 16 October 2010

Communicated by Kenneth S. Berenhaut
Authors
Timothy O’Brien
Department of Mathemtaics and Statistics
Loyola University
1032 W. Sheridan Road
Chicago, IL 60660-1537
United States
http://webpages.math.luc.edu/~tobrien/home.html
Somsri Jamroenpinyo
Department of Mathematics and Statistics
Thammasat University — Rangsit Campus
Khlongluang, Pathumthani 12121
Thailand
Chinnaphong Bumrungsup
Department of Mathematics and Statistics
Thammasat University — Rangsit Campus
Khlongluang, Pathumthani 12121
Thailand