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1 results

  • Alternative Weights and Invariant Parameters in Optimal Scaling

  • Roderick P. McDonald
  • Journal:
    Psychometrika / Volume 48 / Issue 3 / September 1983
    Published online by Cambridge University Press:
    01 January 2025, pp. 377-391

  • Under conditions that are commonly satisfied in optimal scaling problems, arbitrary sets of optimal weights can be obtained by choices of generalized inverse procedures. A simple relationship holds between these and the corresponding invariant item scores. The case of optimal scaling originally treated by Guttman [1941] yields a restricted form of multicategory factor analysis. It is suggested that the invariant parameters of optimal scaling should be interpreted, according to the principles of latent trait theory, rather than the arbitrary weights.