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A general approach to handling missing values in Procrustes analysis. (English) Zbl 1284.65058

Summary: General Procrustes analysis is concerned with transforming a set of given configuration matrices to closest agreement. This paper introduces an approach useful for handling missing values in the configuration matrices in the context of general linear transformations. Centring and/or standardisation are allowed. Simplifications occur in the important case where the transformations are orthogonal. In the most general case, an interesting quadratic constrained optimisation problem appears.

MSC:

65F30 Other matrix algorithms (MSC2010)
65C60 Computational problems in statistics (MSC2010)
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