Curve fitting and modeling with splines using statistical variable selection techniques

Patricia L. Smith

Abstract

The successful application of statistical variable selection techniques to fit splines is demonstrated. Major emphasis is given to knot selection, but order determination is also discussed. Two FORTRAN backward elimination programs, using the B-spline basis, were developed. The program for knot elimination is compared in detail with two other spline-fitting methods and several statistical software packages. An example is also given for the two-variable case using a tensor product basis, with a theoretical discussion of the difficulties of their use.

Keywords

Knot (papermaking)Spline (mechanical)Tensor productFortranAlgorithmModel selectionVariable (mathematics)Computer scienceMathematicsSmoothing splineBasis (linear algebra)Applied mathematicsSoftwareStatisticsGeometrySpline interpolationEngineeringProgramming languageMathematical analysisPure mathematics

Affiliated Institutions

Old Dominion University US

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Publication Info

Year: 1982
Type: article
Citations: 42
Access: Closed

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APA Style

                            
                                    Patricia L. Smith
                                
                            (1982). 
                            Curve fitting and modeling with splines using statistical variable selection techniques. 
                            NASA Technical Reports Server (NASA)
                            
                            .