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Silhouettes: a graphical aid to the interpretation and validation of cluster analysis. (English) Zbl 0636.62059


MSC:

62H30 Classification and discrimination; cluster analysis (statistical aspects)
65S05 Graphical methods in numerical analysis
65C99 Probabilistic methods, stochastic differential equations

Software:

Silhouettes
Full Text: DOI

References:

[1] Andes, N., Application of validity techniques on a hierarchical cluster solution using U.S. occupations, Fourth European Meeting of the Psychometric Society and the Classification Societies, Cambridge, United Kingdom (1985), paper presented at the
[2] Carmichael, J. W.; Sneath, P. N.A., Taxometric maps, Systematic Zoology, 18, 402-415 (1969)
[3] Cohen, A.; Gnanadesikan, R.; Kettenring, J.; Landwehr, J. M., Methodological developments in some applications of clustering, (Krishnaiah, P. R., Applications of Statistics (1977), North-Holland: North-Holland Amsterdam), 141-162 · Zbl 0369.62062
[4] Delattre, M.; Hansen, P., Bicriterion cluster analysis, IEEE Trans. Pattern Anal. Mach. Intelligence, 2, 277-291 (1980) · Zbl 0458.62049
[5] Everitt, B., Graphical Techniques for Multivariate Data (1978), Heinemann: Heinemann London
[6] Forgy, E. W., Cluster analysis of multivariate data: efficiency versus interpretability of classifications (abstract), Biometrics, 21, 768 (1965)
[7] Gale, N.; Halperin, W. C.; Costanzo, C. M., Unclassed matrix shading and optimal ordering in hierarchical cluster analysis, J. Classification, 1, 75-92 (1984)
[8] Gnanadesikan, R.; Kettenring, J.; Landwehr, J. M., Interpreting and assessing the results of cluster analyses, Bull. Internat. Statist. Inst., 47, 451-463 (1977)
[9] Jancey, R. C., Multidimensional group analysis, Australian J. Botany, 14, 127-130 (1966)
[10] Johnson, S. C., Hierarchical clustering schemes, Psychometrika, 32, 241-254 (1967) · Zbl 1367.62191
[11] Kent, Ph., A comment on icicles, Amer. Statist., 38, 162-163 (1984)
[12] Kruskal, J. B.; Landwehr, J. M., Icicle plots: better displays for hierarchical clustering, Amer. Statist., 37, 162-168 (1983)
[13] MacQueen, J., Some methods for classification and analysis of multivariate observations, (Le Cam, L.; Neyman, J., Proceedings 5th Berkeley Symposium on Mathematical Statistics and Probability (1967), University of California Press: University of California Press Berkeley), 281-297 · Zbl 0214.46201
[14] Massart, D. L.; Plastria, F.; Kaufman, L., Non-hierarchical clustering with MASLOC, Pattern Recognition, 16, 507-516 (1983)
[15] Ruspini, H. R., Numerical methods for fuzzy clustering, Information Sciences, 2, 319-350 (1970) · Zbl 0205.21301
[16] Shepard, R. N., Representation of structure in similarity data: problems and prospects, Psychometrika, 39, 373-421 (1974) · Zbl 0295.92024
[17] Sokal, R. R., Numerical taxonomy, Scientific American, 106-116 (1966)
[18] Spaeth, H., Cluster Analysis Algorithms (1980), Ellis Horwood: Ellis Horwood Chichester · Zbl 0435.62059
[19] Tucker, L. R., The extension of factor analysis to three-dimensional matrices, (Frederiksen, N.; Gulliksen, H., Contributions to Mathematical Psychology (1964), Holt, Rinehart and Winston: Holt, Rinehart and Winston New York)
[20] Vinod, H. D., Integer programming and the theory of grouping, J. Amer. Statist. Assoc., 64, 506-519 (1969) · Zbl 0272.90050
[21] Wainer, H., On multivariate display, (Rivzi, M. H.; Rustagi, J. S.; Siegmund, D., Recent Advances in Statistics (1983), Academic Press: Academic Press New York), 469-508 · Zbl 0517.00012
[22] Ward, J. H., Hierarchical grouping to optimize an objective function, J. Amer. Statist. Assoc., 58, 236-244 (1963)
[23] Wish, M., Comparisons among multidimensional structures of nations based on different measures of subjective similarity, General Systems, 15, 55-65 (1970)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.