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Publication Date:
April 2009
ISSN:
1544-6115
DOI:
10.2202/1544-6115.1443

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Editor-in-Chief: Stumpf, Michael P.H.

Editorial Board Member: Beaumont, Mark / Binder, Harald / Gupta, Mayetri / Hubbard, Alan E. / Husmeier, Dirk / Ji, Hongkai / Keles, Sunduz / Kerr, Kathleen / Lazzeroni, Laura / Lin, Shili / Ma, Ping / Marjoram, Paul / Mertens, Bart / Nerman, Olle / G. Petretto, Enrico / Plagnol, Vincent / Purdom, Elizabeth / Robin, Stéphane / Rzhetsky, Andrey / Sanguinetti, Guido / van der Laan, Mark J. / von Haeseler, Arndt / Weeks, Daniel E. / Wiuf, Carsten / Zhao, Hongyu

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Rank 27 out of 116 in category Statistics & Probability in the 2011 Thomson Reuters Journal Citation Report/Science Edition

Multilevel Comparison of Dendrograms: A New Method with an Application for Genetic Classifications

János Podani / Attila Engloner / Agnes Major

1Eotvos University

1Eotvos University

1Hungarian Natural History Museum

Citation Information: Statistical Applications in Genetics and Molecular Biology. Volume 8, Issue 1, Pages 1–14, ISSN (Online) 1544-6115, DOI: 10.2202/1544-6115.1443, April 2009

Publication History:
Published Online:
2009-04-14

Procedures are currently available for the evaluation of hierarchical classifications of produce tree dissimilarities or consensus dendrograms. Some tests of cluster validity operate by comparing all possible partitions from a tree with a reference partition. We propose an exhaustive search procedure to compare all partitions from one dendrogram with all partitions derived from the other to detect hierarchical levels at which the two dendrograms show maximum agreement. The method is illustrated using RAPD and microsatellite data in order to detect clones in reed populations. The utility of our approach is its ability to reveal extra information in different genetic data sets which would be hidden otherwise. The method is also useful in any field of science where hierarchical clustering is the main research tool and comparison of results is an objective. Artificial and actual dendrograms, together with randomly simulated trees were used to compare the performance of five classical coefficients of partition dissimilarity. The simulations showed that when meaningful group structure is lacking, then the five coefficients are in full disagreement, but they perform similarly otherwise.

Keywords: clonal diversity; hierarchical clustering; microsatellites; partitions; Phragmites australis; Rand index; RAPD

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