Residual analysis for unidimensional scaling in the L2-norm

Michael J. Brusco, Douglas Steinley, Hans Friedrich Koehn

Research output: Contribution to journalArticlepeer-review


We present a procedure (RAUS) for residual analysis of a dissimilarity matrix whereby unidimensional scaling is successively applied to the absolute value of residuals. A key advantage of RAUS is that the efficient Defays formulation of unidimensional scaling can be used for the fitting of each scale. An example using U.S. Supreme Court voting data is provided to illustrate the interpretation of successive scales. A simulation study was performed to evaluate RAUS.

Original languageEnglish (US)
Pages (from-to)2210-2221
Number of pages12
JournalCommunications in Statistics: Simulation and Computation
Issue number7
StatePublished - Aug 9 2019


  • Combinatorial data analysis
  • Least-squares unidimensional scaling: Residual analysis
  • Simulated annealing

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation


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