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Cited by 7,580

The DOI matches its Crossref record.

The Varimax Criterion for Analytic Rotation in Factor Analysis

Kaiser, Henry F.·1958·Psychometrika
DOI 10.1007/bf02289233
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Abstract

An analytic criterion for rotation is defined. The scientific advantage of analytic criteria over subjective (graphical) rotational procedures is discussed. Carroll's criterion and the quartimax criterion are briefly reviewed; the varimax criterion is outlined in detail and contrasted both logically and numerically with the quartimax criterion. It is shown that the normal varimax solution probably coincides closely to the application of the principle of simple structure. However, it is proposed that the ultimate criterion of a rotational procedure is factorial invariance, not simple structure –although the two notions appear to be highly related. The normal varimax criterion is shown to be a two-dimensional generalization of the classic Spearman case, i.e., it shows perfect factorial invariance for two pure clusters. An example is given of the invariance of a normal varimax solution for more than two factors. The oblique normal varimax criterion is stated. A computational outline for the orthogonal normal varimax is appended.

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Research works printed but not linked: 12

  1. [6] Kaiser, H. F. The varimax method of factor analysis. Unpublished doctoral dissertation, Univ. California, 1956.
  2. 10.1111/j.2044-8317.1954.tb00147.x · DOI
  3. Thomson, 1951, The factorial analysis of human ability
  4. Thurstone, 1947, Multiple-factor analysis
  5. 10.1002/j.2333-8504.1953.tb00890.x · DOI
  6. Thurstone, 1932, Theory of multiple factors
  7. Holzinger, 1941, Factor analysis
  8. Kaiser, 1955, An analytic rotational criterion for factor analysis, Amer. Psychologist, 10, 438
  9. 10.1037/t11410-000 · DOI
  10. 10.1007/BF02289089 · doi:10.1007/bf02289089
  11. 10.1007/BF02289025 · DOI
  12. 10.1007/BF02289228 · DOI

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Metadata

Authors
Kaiser, H. F.
Venue
Psychometrika
Publisher
Cambridge University Press (CUP)
Published
1958-09
Volume
23
Issue
3
Pages
187-200
ISSN
  • 0033-3123 (ISSN-L)
  • 1860-0980
DOI
10.1007/bf02289233
OpenAlex
W1997320786
Cited by
7,580
References
0
FWCI
40.89
Type
journal article
Language
en
Open access
closed
Licence
www.cambridge.org/core/terms (unspecified, 24229 d)

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