×

Curvature measures for nonlinear regression models using continuous designs with applications to optimal experimental design. (English) Zbl 1204.62110

Summary: We present and illustrate a 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.

MSC:

62J02 General nonlinear regression
62K05 Optimal statistical designs
65C60 Computational problems in statistics (MSC2010)
62F25 Parametric tolerance and confidence regions
Full Text: DOI