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1 results

  • Estimation of Covariance Structure Models with Parameters Subject to Functional Restraints

  • Sik-Yum Lee
  • Journal:
    Psychometrika / Volume 45 / Issue 3 / September 1980
    Published online by Cambridge University Press:
    01 January 2025, pp. 309-324

  • This paper demonstrates the feasibility of using the penalty function method to estimate parameters that are subject to a set of functional constraints in covariance structure analysis. Both types of inequality and equality constraints are studied. The approaches of maximum likelihood and generalized least squares estimation are considered. A modified Scoring algorithm and a modified Gauss-Newton algorithm are implemented to produce the appropriate constrained estimates. The methodology is illustrated by its applications to Heywood cases in confirmatory factor analysis, quasi-Weiner simplex model, and multitrait-multimethod matrix analysis.