A fixed effect curvilinear model
type: Item
instance of: scholarly article
title: A fixed effect curvilinear model
zbMATH Open document ID: 0934.62062
author: Frédéric Ferraty
author: Philippe Besse
published in: Computational Statistics
publication date: 2000-03-02T00:00:00Z
review text: The authors introduce an extension of a fixed effects model for principal components analysis (PCA) which builds smooth optimal transformations of the data and then derive graphical displays. This leads to a new computational approach replacing B-splines or I-splines by a spline smoother. The estimation is performed by a smoothing alternative least squares algorithm (SALSA) implemented in the software S+. Estimates of the risk functions are computed with the help of bootstrap resampling. The efficiency of the approach is tested on simulated data by comparing the true risk function values and their estimates. Results obtained by SAS and SALSA are compared.
Mathematics Subject Classification ID: 62H25
Mathematics Subject Classification ID: 62-08
Mathematics Subject Classification ID: 62G09
Mathematics Subject Classification ID: 62A09
zbMATH DE Number: 1409707
zbMATH Keywords: principal components analysis
zbMATH Keywords: bootstrap
zbMATH Keywords: spline smoothers
zbMATH Keywords: curvilinear model
reviewed by: M. P. Moklyachuk
describes a project that uses: SAS
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1409707