Generalized Procrustes
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This menu performs a Generalized Procrustes Analysis. An N x V matrix represents a configuration of N points in V dimensions. Given a set of M such matrices, a generalized Procrustes analysis iteratively matches them to a common centroid configuration by the operations of translation to a common origin, rotation/reflection of axes and possibly also an isotropic scale change. This matching seeks to minimize the sum of the squared distances between the centroid and each individual configuration summed over all points (the Procrustes statistic for each configuration and the centroid, summed over all configurations). The final centroid is referred to principal axes to give a unique consensus configuration.

Available Data

This lists data structures appropriate to the current input field. Double-click on a name to copy it to the current input field; alternatively, you can type the name directly into the input field.

Data to be Analysed

Used to enter the names of the matrices to be analysed. The button allows multiple selections to be copied from Available Data.

Method

Allows you to choose the method to be used for the analysis. You can select Gower's method or TenBerge's method. Further details of these methods are described in the description of the GENPROCRUSTES procedure.

See Also