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Biometrika
Article . 1985 . Peer-reviewed
Data sources: Crossref
Biometrika
Article . 1985 . Peer-reviewed
Data sources: Crossref
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Influence in principal components analysis

Authors: Critchley, Frank;

Influence in principal components analysis

Abstract

To detect outliers in data analyzed for principal components, three types of influence functions are derived based on perturbation parameters. Influence of these functions on the eigenvalues and eigenvectors of the covariance matrix is examined. The functions are compared among themselves and are contrasted with the regression case.

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Keywords

covariance matrix, outliers, eigenvalues, eigenvectors, Factor analysis and principal components; correspondence analysis, linear regression, Robustness and adaptive procedures (parametric inference), principal components, influence functions, perturbation parameters

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Powered by OpenAIRE graph
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
142
Top 10%
Top 1%
Top 10%
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