A Rationale and Test for the Number of Factors in Factor Analysis

John L. Horn

doi:10.1007/bf02289447

journal article Jun 01, 1965

A Rationale and Test for the Number of Factors in Factor Analysis

John L. Horn

Psychometrika Vol. 30 No. 2 pp. 179-185 · Cambridge University Press (CUP)

View at Publisher Save 10.1007/bf02289447

Abstract

It is suggested that if Guttman’s latent-root-one lower bound estimate for the rank of a correlation matrix is accepted as a psychometric upper bound, following the proofs and arguments of Kaiser and Dickman, then the rank for a sample matrix should be estimated by subtracting out the component in the latent roots which can be attributed to sampling error, and least-squares “capitalization” on this error, in the calculation of the correlations and the roots. A procedure based on the generation of random variables is given for estimating the component which needs to be subtracted.

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References

6

[1]

10.1007/bf02289162

[2]

[4] Kaiser, H. The application of electronic computers to factor analysis. (Paper read at a symposium on application of computers to psychological problems. Meeting of Amer. Psychol. Ass., 1959).

[3]

Kendall (1958)

[4]

Rao (1952)

[5]

[2] Dickman, K. W. Factorial validity of a rating instrument. Unpublished doctoral dissertation, Univ. Illinois, 1960.

[6]

Anderson (1958)

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Details

Published: Jun 01, 1965
Vol/Issue: 30(2)
Pages: 179-185
License: View

Authors

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John L. Horn

Cite This Article

John L. Horn (1965). A Rationale and Test for the Number of Factors in Factor Analysis. Psychometrika, 30(2), 179-185. https://doi.org/10.1007/bf02289447

A Rationale and Test for the Number of Factors in Factor Analysis

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