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Proceedings of the American Mathematical Society
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Article . 2004
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Proceedings of the American Mathematical Society
Article . 2004 . Peer-reviewed
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Instability of statistical factor analysis

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 07 Jan 2004 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 132, pages 1,805-1,822 (issn: 0002-9939, eissn: 1088-6826, Copyright policy )
Authors: Ellis, Steven P.;

doi: 10.1090/s0002-9939-04-07272-7

Instability of statistical factor analysis

Abstract

Summary: Factor analysis, a popular method for interpreting multivariate data, models the covariance among \(p\) variables as being due to a small number (\(k\), \(1 \leq k 1\) and \(\eta\) is rich enough, \(F\) ordered or, at least if \(k = 2\) or 3, unordered, must have a singularity at some data set in \(\mathcal{X}\). The proofs are applications of algebraic topology. Examples are provided.

Related Organizations
Keywords

Numerical smoothing, curve fitting, Fiber spaces and bundles in algebraic topology, Factor analysis and principal components; correspondence analysis

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    		 4
    popularity
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    		 Average
    influence
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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!
4
Average
Average
Average
bronze