Residual analysis for unidimensional scaling in the L2-norm

Michael J. Brusco; Douglas Steinley; Hans Friedrich Köhn

doi:10.1080/03610918.2018.1438620

Residual analysis for unidimensional scaling in the L₂-norm

Michael J. Brusco, Douglas Steinley, Hans Friedrich Köhn

Psychology

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English (US)
Pages (from-to)	2210-2221
Number of pages	12
Journal	Communications in Statistics: Simulation and Computation
Volume	48
Issue number	7
DOIs	https://doi.org/10.1080/03610918.2018.1438620
State	Published - Aug 9 2019

Keywords

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

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation

Online availability

10.1080/03610918.2018.1438620

Library availability

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Cite this

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