Multidimensional Rotation and Scaling of Configurations to Optimal Agreement
- 1 June 1988
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 53 (2) , 199-208
- https://doi.org/10.1007/bf02294132
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
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