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Comparing Generalized Procrustes Analysis and STATIS

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  • Meyners, M.
  • Kunert, Joachim
  • Qannari, El Mostafa

Abstract

We consider a model for sensory profiling data including translation, rotation and scaling. We compare two methods to calculate an overall consensus from several data matrices: GPA and STATIS. These methods are briefly illustrated and explained under our model. A series of simulations to compare their performance has been carried out. We found significant differences in performance depending on the variance of random errors and on the dimensionality of the true underlying consensus. Therefore we investigated on the dimensionality of the calculated group averages. We found both methods to give too many dimensions compared to the true consensus. This finding is supported by some theoretical considerations. Finally we propose a combined approach which takes advantage of both methods and which gave better results in the simulations.

Suggested Citation

  • Meyners, M. & Kunert, Joachim & Qannari, El Mostafa, 1998. "Comparing Generalized Procrustes Analysis and STATIS," Technical Reports 1998,35, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    • Handle: RePEc:zbw:sfb475:199835
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    References listed on IDEAS

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    1. Lavit, Christine & Escoufier, Yves & Sabatier, Robert & Traissac, Pierre, 1994. "The ACT (STATIS method)," Computational Statistics & Data Analysis, Elsevier, vol. 18(1), pages 97-119, August.
    2. J. Gower, 1975. "Generalized procrustes analysis," Psychometrika, Springer;The Psychometric Society, vol. 40(1), pages 33-51, March.
    3. Jos Berge, 1977. "Orthogonal procrustes rotation for two or more matrices," Psychometrika, Springer;The Psychometric Society, vol. 42(2), pages 267-276, June.
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