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1 results

  • Confidence Regions for Multidimensional Scaling Analysis

  • J. O. Ramsay
  • Journal:
    Psychometrika / Volume 43 / Issue 2 / June 1978
    Published online by Cambridge University Press:
    01 January 2025, pp. 145-160

  • Techniques are developed for surrounding each of the points in a multidimensional scaling solution with a region which will contain the population point with some level of confidence. Bayesian credibility regions are also discussed. A general theorem is proven which describes the asymptotic distribution of maximum likelihood estimates subject to identifiability constraints. This theorem is applied to a number of models to display asymptotic variance-covariance matrices for coordinate estimates under different rotational constraints. A technique is described for displaying Bayesian conditional credibility regions for any sample size.