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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
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Abstract |
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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
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Mathematical Subject Classification 2000
Primary: 53A45, 62J02
Secondary: 62K05
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Milestones
Received: 19 May 2010
Accepted: 13 June 2010
Published: 16 October 2010
Communicated by Kenneth S. Berenhaut
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Authors |
| Timothy O’Brien | |
| Department of Mathemtaics and
Statistics Loyola University 1032 W. Sheridan Road Chicago, IL 60660-1537 United States |
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| http://webpages.math.luc.edu/~tobrien/home.html | |
| Somsri Jamroenpinyo | |
| Department of Mathematics and
Statistics Thammasat University — Rangsit Campus Khlongluang, Pathumthani 12121 Thailand |
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| Chinnaphong Bumrungsup | |
| Department of Mathematics and
Statistics Thammasat University — Rangsit Campus Khlongluang, Pathumthani 12121 Thailand |
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