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Multidimensional Rotation and Scaling of Configurations to Optimal Agreement

Published online by Cambridge University Press:  01 January 2025

Edmund R. Peay
Edmund R. Peay*
Affiliation:
School of Social Sciences, The Flinders University of South Australia
*
Requests for reprints should be sent to Edmund R. Peay, School of Social Sciences, The Flinders University of South Australia, Bedford Park, South Australia 5042, AUSTRALIA.
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Abstract

An integrated method for rotating and rescaling a set of configurations to optimal agreement in subspaces of varying dimensionalities is developed. The approach relates existing orthogonal rotation techniques as special cases within a general framework based on a partition of variation which provides convenient measures of agreement. In addition to the well-known Procrustes and inner product optimality criteria, a criterion which maximizes the “consensus” among subspaces of the configurations is suggested. Since agreement of subspaces of the configurations can be examined and compared, rotation and rescaling is extended from a data transformation technique to an analytical method.

Keywords

Procrustes rotationrotation to maximal agreementindividual differences analysis
Type
Original Paper
Information
Psychometrika , Volume 53 , Issue 2 , June 1988 , pp. 199 - 208
Copyright
Copyright © 1988 The Psychometric Society

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