Scaling Factors in Generalised Procrustes Analysis

Arnold, G. M.

doi:10.1007/978-3-662-26811-7_9

Scaling Factors in Generalised Procrustes Analysis

G. M. Arnold³

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Abstract

The use and interpretation of scaling factors in generalised Procrustes analysis is discussed. The estimated optimal isotropic scaling factors are shown to include a component for differential weighting of individual configurations as well as a component adjusting for overall size. These separate components are illustrated using a data set from sensory analysis. Separating the components can lead to improved time to convergence as shown in simulation studies.

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References

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Authors and Affiliations

Department of Agricultural Sciences, AFRC Institute of Arable Crops Research, Long Ashton Research Station, University of Bristol, Bristol, BS18 9AF, UK
G. M. Arnold

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G. M. Arnold
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Editors and Affiliations

Groupe de Statistique, University of Neuchâtel, Pierre-à-Mazel 7, CH-2000, Neuchâtel, Switzerland
Yadolah Dodge (Professor of Statistics and Operations Research) (Professor of Statistics and Operations Research)
Lancaster University, GB-Lancaster, LA1 4YE, Great Britain
Joe Whittaker (Professor of Mathematics) (Professor of Mathematics)

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Arnold, G.M. (1992). Scaling Factors in Generalised Procrustes Analysis. In: Dodge, Y., Whittaker, J. (eds) Computational Statistics. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-26811-7_9

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DOI: https://doi.org/10.1007/978-3-662-26811-7_9
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-662-26813-1
Online ISBN: 978-3-662-26811-7
eBook Packages: Springer Book Archive

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