general approach to handling missing values in Procrustes analysis

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...

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Veröffentlicht in:	Advances in data analysis and classification 2010, Vol.4 (4), p.223-237
Hauptverfasser:	Albers, Casper J, Gower, John C
Format:	Artikel
Sprache:	eng
Schlagworte:	Chemistry and Earth Sciences Computer Science Constrained optimisation Data Mining and Knowledge Discovery Economics Finance Health Sciences Humanities Insurance Law Management Mathematics and Statistics Medicine Missing value estimation Physics Procrustes analysis Regular Article Statistical Theory and Methods Statistics Statistics for Business Statistics for Engineering Statistics for Life Sciences Statistics for Social Sciences
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Zusammenfassung:	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.
ISSN:	1862-5355 1862-5347 1862-5355
DOI:	10.1007/s11634-010-0077-0