TY - JOUR
T1 - Curvature Measures for Nonlinear Regression Models Using Continuous Designs with Applications to Optimal Design
AU - O'Brien, Timothy
AU - Jamroenpinyo, Somsri
AU - Bumrungsup, Chinnaphong
N1 - O'Brien, T, S Jamroenpinyo, and C Bumrungsup. "Curvature Measures for Nonlinear Regression Models Using Continuous Designs with Applications to Optimal Design." Involve 3(3), 2010.
PY - 2010/1/1
Y1 - 2010/1/1
N2 - 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.
AB - 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.
KW - design measures
KW - Fieller–Creasy problem
KW - marginal curvature
KW - model misspecification
KW - nonlinearity
KW - parameter subsets
KW - robust designs
UR - https://ecommons.luc.edu/math_facpubs/5
U2 - 10.2140/involve.2010.3.317
DO - 10.2140/involve.2010.3.317
M3 - Article
VL - 3
JO - Mathematics and Statistics: Faculty Publications and Other Works
JF - Mathematics and Statistics: Faculty Publications and Other Works
IS - 3
ER -