Standard errors of estimated latent variable scores with estimated structural parameters

Takahiro Hoshino, Kazuo Shigemasu

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


The authors propose a concise formula to evaluate the standard error of the estimated latent variable score when the true values of the structural parameters are not known and must be estimated. The formula can be applied to factor scores in factor analysis or ability parameters in item response theory, without bootstrap or Markov chain Monte Carlo methods. The proposed method is valid when both the number of items and the number of subjects are large. However, simulation results suggest that the proposed method provides valid estimates for standard errors of latent abilities even when the numbers of items and subjects are not large.

Original languageEnglish
Pages (from-to)181-189
Number of pages9
JournalApplied Psychological Measurement
Issue number2
Publication statusPublished - 2008 Mar
Externally publishedYes


  • Factor analysis
  • Item response theory
  • Pseudo-maximum likelihood estimation
  • Structural equation modeling
  • True score

ASJC Scopus subject areas

  • Social Sciences (miscellaneous)
  • Psychology (miscellaneous)


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