Influence function analysis applied to partial least squares
type: Item
instance of: scholarly article
title: Influence function analysis applied to partial least squares
zbMATH Open document ID: 1197.62099
author: Kjell Johnson
author: William S. Rayens
published in: Computational Statistics
publication date: 2010-04-22T00:00:00Z
review text: The authors consider partial least squares (PLS) components as solutions to the corresponding eigenvalue problem. Empirical influence functions (EIFs) are constructed for the estimates of eigenvalues and eigenvectors. These EIFs enable one to identify observations that directly influence the eigenstructure of PLS and hence the performance of the PLS model. Applications to simulated and real life data are considered.
Mathematics Subject Classification ID: 62J20
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 62-08
zbMATH DE Number: 5697291
zbMATH Keywords: empirical influence functions
zbMATH Keywords: eigenvectors
zbMATH Keywords: eigenvalues
MaRDI profile type: Publication
full work available at URL: s00180-007-0037-0
OpenAlex ID: W2064298558
cites work: The Influence Function as an Aid in Outlier Detection in Discriminant Analysis
cites work: Influence in principal components analysis
cites work: A Statistical View of Some Chemometrics Regression Tools
cites work: The Influence Curve and Its Role in Robust Estimation
cites work: On the structure of partial least squares regression
cites work: Influence function analysis for partial least squares with uncorrelated components
cites work: Comparison of prediction methods for multicollinear data
cites work: A Dirichlet random coefficient regression model for quality indicators
cites work: Influence functions for certain parameters in multivariate analysis
cites work: Q3490791
cites work: Sensitivity analysis in principal component analysis:influence on the subspace spanned by principal components.
cites work: Q5617408
DOI: 10.1007/S00180-007-0037-0
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description: scientific article; zbMATH DE number 5697291