Confidence Regions for Multidimensional Scaling Analysis
- 1 June 1978
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 43 (2) , 145-160
- https://doi.org/10.1007/bf02293859
Abstract
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.Keywords
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