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Uniqueness does not Imply Identification

Author

Listed:
  • KENNETH A. BOLLEN

    (University of North Carolina at Chapel Hill)

  • KARL G. JÖRESKOG

    (University of Uppsala)

Abstract

Many authors suggest that conditions originally presented by Howe (1955) and later by Jöreskog (1979) are sufficient to identify confirmatory factor analysis models. In this note we show that these are sufficient conditions for unique factor loadings under rotation but they are not sufficient for model identification. This is demonstrated with an extended example.

Suggested Citation

  • Kenneth A. Bollen & Karl G. Jã–Reskog, 1985. "Uniqueness does not Imply Identification," Sociological Methods & Research, , vol. 14(2), pages 155-163, November.
    • Handle: RePEc:sae:somere:v:14:y:1985:i:2:p:155-163
    DOI: 10.1177/0049124185014002003
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    References listed on IDEAS

    as
    1. James Dunn, 1973. "A note on a sufficiency condition for uniqueness of a restricted factor matrix," Psychometrika, Springer;The Psychometric Society, vol. 38(1), pages 141-143, March.
    2. Robert Jennrich, 1978. "Rotational equivalence of factor loading matrices with specified values," Psychometrika, Springer;The Psychometric Society, vol. 43(3), pages 421-426, September.
    3. Ronald Schoenberg & Carol Richtand, 1984. "Application of the EM Method," Sociological Methods & Research, , vol. 13(1), pages 127-150, August.
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