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 |