Bayesian multidimensional scaling and choice of dimension

Man Suk Oh, Adrian E. Raftery

Research output: Contribution to journalArticlepeer-review

63 Scopus citations

Abstract

Multidimensional scaling is widely used to handle data that consist of similarity or dissimilarity measures between pairs of objects. We deal with two major problems in metric multidimensional scaling–configuration of objects and determination of the dimension of object configuration–within a Bayesian framework. A Markov chain Monte Carlo algorithm is proposed for object configuration, along with a simple Bayesian criterion, called MDSIC, for choosing their dimension. Simulation results are presented, as are real data. Our method provides better results than does classical multidimensional scaling and ALSCAL for object configuration, and MDSIC seems to work well for dimension choice in the examples considered.

Original languageEnglish
Pages (from-to)1031-1044
Number of pages14
JournalJournal of the American Statistical Association
Volume96
Issue number455
DOIs
StatePublished - 1 Sep 2001

Keywords

  • Clustering
  • Dimensionality
  • Dissimilarity
  • Markov chain Monte Carlo
  • Metric scaling
  • Model selection

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