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Identifiability of full, marginal, and conditional factor analysis models

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  • Ihara, Masamori
  • Kano, Yutaka

Abstract

Identifiability of full factor analysis model for x = (x1, x2T)T is discussed, when the marginal model for x2 and/or the conditional model for x2 given x1 conform to factor analysis models. Two numerical examples are given for illustrative purposes.

Suggested Citation

  • Ihara, Masamori & Kano, Yutaka, 1995. "Identifiability of full, marginal, and conditional factor analysis models," Statistics & Probability Letters, Elsevier, vol. 23(4), pages 343-350, June.
    • Handle: RePEc:eee:stapro:v:23:y:1995:i:4:p:343-350
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    References listed on IDEAS

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    1. Masamori Ihara & Yutaka Kano, 1986. "A new estimator of the uniqueness in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 51(4), pages 563-566, December.
    2. Yutaka Kano, 1990. "Noniterative estimation and the choice of the number of factors in exploratory factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 55(2), pages 277-291, June.
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    Cited by:

    1. Kano, Yutaka & Takai, Keiji, 2011. "Analysis of NMAR missing data without specifying missing-data mechanisms in a linear latent variate model," Journal of Multivariate Analysis, Elsevier, vol. 102(9), pages 1241-1255, October.

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