Multidimensional rotation and scaling of configurations to optimal agreement |
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Authors: | Edmund R. Peay |
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Affiliation: | (1) School of Social Sciences, The Flinders University of South Australia, Bedford Park, 5042, South Australia, 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. |
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Keywords: | Procrustes rotation rotation to maximal agreement individual differences analysis |
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