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Indeterminacy problems and the interpretation of factor analysis results

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  • Henk Elffers
  • Jelke Bethlehem
  • Richard Gill

Abstract

This paper reviews indeterminacy problems for the factor analysis model and their consequences for the interpretation of the results. Two types of indeterminacy are discerned: indeterminacy of the parameters in the model (the number of factors, the specific variances and the factorloadings) and the indeterminacy of the factors, given the parameters in the model. It is argued that parameter indeterminacy is partly to be overcome, provided that a strong underlying theory for the subject matter under research is present. Factor indeterminacy remains a major stumbling‐block for the interpretation of results. The Guttman criterion is advocated as a measure of factor indeterminacy.

Suggested Citation

  • Henk Elffers & Jelke Bethlehem & Richard Gill, 1978. "Indeterminacy problems and the interpretation of factor analysis results," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 32(4), pages 181-199, December.
    • Handle: RePEc:bla:stanee:v:32:y:1978:i:4:p:181-199
    DOI: 10.1111/j.1467-9574.1978.tb01398.x
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    Cited by:

    1. Wim Krijnen & Theo Dijkstra & Richard Gill, 1998. "Conditions for factor (in)determinacy in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 63(4), pages 359-367, December.
    2. Wim Krijnen, 2002. "On the construction of all factors of the model for factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 67(1), pages 161-172, March.

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