The Moment Preservation Method of Cluster Analysis

A technique for cluster analysis, known as the moment preservation method is found primarily in the engineering literature. The method appears to be motivated by mixture models. A brief description of this technique is as follows. If q clusters are to be

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Titles in the Series H.-H. Bock and P. Ihm (Eds.) Classification, Data Analysis, and Knowledge Organization. 1991 (out of print)

I. Balderjahn, R. Mathar, and M. Schader (Eds.) Classification, Data Analysis, and Data Highways. 1998

M. Schader (Ed.) Analyzing and Modeling Data and Knowledge. 1992

A. Rizzi, M. Vichi, and H.-H. Bock (Eds.) Advances in Data Science and Classification. 1998

O. Opitz, B. Lausen, and R. Klar (Eds.) Information and Classification. 1993 (out of print) H.-H. Bock, W. Lenski, and M.M. Richter (Eds.) Information Systems and Data Analysis. 1994 (out of print) E. Diday, Y. Lechevallier, M. Schader, P. Bertrand, and B. Burtschy (Eds.) New Approaches in Classification and Data Analysis. 1994 (out of print) W. Gaul and D. Pfeifer (Eds.) From Data to Knowledge. 1995 H.-H. Bock and W. Polasek (Eds.) Data Analysis and Information Systems. 1996 E. Diday, Y. Lechevallier and O. Opitz (Eds.) Ordinal and Symbolic Data Analysis. 1996

R. Klar and O. Opitz (Eds.) Classification and Knowledge Organization. 1997 C. Hayashi, N. Ohsumi, K. Yajima, Y. Tanaka, H.-H. Bock, and Y. Baba (Eds.) Data Science, Classification, and Related Methods. 1998

M. Vichi and O. Opitz (Eds.) Classification and Data Analysis. 1999 W. Gaul and H. Locarek-Junge (Eds.) Classification in the Information Age. 1999

H.-H. Bock and E. Diday (Eds.) Analysis of Symbolic Data. 2000 H.A.L. Kiers, J.-P. Rasson, P.J.F. Groenen, and M. Schader (Eds.) Data Analysis, Classification, and Related Methods. 2000 W. Gaul, O. Opitz and M. Schader (Eds.) Data Analysis. 2000 R. Decker and W. Gaul Classification and Information Processing at the Turn of the Millenium. 2000 S. Borra, R. Rocci, M. Vichi, and M. Schader (Eds.) Advances in Classification and Data Analysis. 2001 W. Gaul and G. Ritter (Eds.) Classification, Automation, and New Media. 2002 K. Jajuga, A. Sokolowski, and H.-H. Bock (Eds.) Classification, Clustering and Data Analysis. 2002

Manfred Schwaiger . Duo Dpitz (Eds.)

Exploratory Data Analysis in Empirical Research Proceedings of the 25 th Annual Conference of the Gesellschaft fur Klassifikation e. v., University of Munich, March 14-16, 2001

With 93 Figures and 60 rabIes

,

Springer

Professor Dr. Manfred Schwaiger University of Munich Munich S chool of Management Institute of Corporate Development and Organization KaulbachstraBe 45/1 80539 Munich Germany [email protected]. muenchen.de Professor Or. Otto Opitz University of Augsburg Department of Mathematical Methods i n Economics UniversitatsstraBe 16 86159 Augsburg Germany otto.opitz@wiwi .uni-augsburg.de

ISBN 978-3-540-44183-0 Data appliw for Dir Oeulschr Bibliolhek _ CIP-Einhei15aufnahme Exploralory dala analysis in empirical re~arch: University of Munich. March 14- 16, lnm; wilh 60 lables I Manfrw Schwaiger; 0110 Opitz (W.). _ Berlin; Heidelberg; New York; Hong Kong; l ondon; Milan; Pa ris; Tokyo: Springer, 2003 (Proc~ing' of Ihe ... annual con ferellce of Ihe Geşellschafl fUr Klassifikatinll t.V.; 2S) (Sludies in dusificalion, data an.lysis, and knowl edge organizat ion) I