Goodness-of-Fit Assessment in Multidimensional Scaling and Unfolding

Patrick Mair, Ingwer Borg, Thomas Rusch

Publication: Scientific journalJournal articlepeer-review

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Judging goodness of fit in multidimensional scaling requires a comprehensive set of diagnostic tools instead of relying on stress rules of thumb. This article elaborates on corresponding strategies and gives practical guidelines for researchers to obtain a clear picture of the goodness of fit of a solution. Special emphasis will be placed on the use of permutation tests. The second part of the article focuses on goodness-of-fit assessment of an important variant of multidimensional scaling called unfolding, which can be applied to a broad range of psychological data settings. Two real-life data sets are presented in order to walk the reader through the entire set of diagnostic measures, tests, and plots. R code is provided as supplementary information that makes the whole goodness-of-fit assessment workflow, as presented in this article, fully reproducible.
Original languageEnglish
Pages (from-to)772 - 789
JournalMultivariate Behavioral Research
Issue number6
Publication statusPublished - 2016

Austrian Classification of Fields of Science and Technology (ÖFOS)

  • 101018 Statistics
  • 501
  • 509013 Social statistics
  • 509

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