Chapter Contents |
Previous |
Next |

The CLUSTER Procedure |

Anderberg, M.R. (1973), *Cluster Analysis for Applications*,
New York: Academic Press, Inc.

Batagelj, V. (1981), "Note on Ultrametric Hierarchical
Clustering Algorithms," *Psychometrika*, 46, 351 -352.

Blackith, R.E. and Reyment, R.A. (1971), *Multivariate
Morphometrics*, London: Academic Press.

Blashfield, R.K. and Aldenderfer, M.S. (1978),
"The Literature on Cluster Analysis,"
*Multivariate Behavioral Research*, 13, 271 -295.

Calinski, T. and Harabasz, J. (1974),
"A Dendrite Method for Cluster Analysis,"
*Communications in Statistics*, 3, 1 -27.

Cooper, M.C. and Milligan, G.W. (1988),
"The Effect of Error on Determining
the Number of Clusters," *Proceedings of the
International Workship on Data Analysis, Decision Support,
and Expert Knowledge Representation in Marketing and Related
Areas of Research*, 319 -328.

Duda, R.O. and Hart, P.E. (1973), *Pattern Classification
and Scene Analysis*, New York: John Wiley & Sons, Inc.

Everitt, B.S. (1980), *Cluster Analysis*,
Second Edition, London: Heineman Educational Books Ltd.

Fisher, L. and Van Ness, J.W. (1971), "Admissible
Clustering Procedures," *Biometrika*, 58, 91 -104.

Fisher, R.A. (1936), "The Use of Multiple Measurements
in Taxonomic Problems," *Annals of Eugenics*, 7, 179 -188.

Florek, K., Lukaszewicz, J., Perkal, J., and Zubrzycki, S.
(1951a), "Sur la Liaison et la Division des Points
d'un Ensemble Fini," *Colloquium Mathematicae*, 2, 282 -285.

Florek, K., Lukaszewicz, J., Perkal, J., and Zubrzycki, S.
(1951b), "Taksonomia Wroclawska,"
*Przeglad Antropol.*, 17, 193 -211.

Gower, J.C. (1967), "A Comparison of Some Methods
of Cluster Analysis," *Biometrics*, 23, 623 -637.

Hamer, R.M. and Cunningham, J.W. (1981),
"Cluster analyzing profile data with interrater differences:
A comparison of profile association measures,"
*Applied Psychological Measurement*, 5, 63 -72.

Hartigan, J.A. (1975), *Clustering Algorithms*,
New York: John Wiley & Sons, Inc.

Hartigan, J.A. (1977), "Distribution Problems in
Clustering," in *Classification and Clustering*,
ed. J. Van Ryzin, New York: Academic Press, Inc.

Hartigan, J.A. (1981), "Consistency of Single Linkage
for High-density Clusters," *Journal of the American
Statistical Association*, 76, 388 -394.

Hawkins, D.M., Muller, M.W., and ten Krooden, J.A. (1982),
"Cluster Analysis,"
in *Topics in Applied Multivariate Analysis*,
ed. D.M. Hawkins, Cambridge: Cambridge University Press.

Jardine, N. and Sibson, R. (1971), *Mathematical Taxonomy*,
New York: John Wiley & Sons, Inc.

Johnson, S.C. (1967), "Hierarchical Clustering Schemes,"
*Psychometrika*, 32, 241 -254.

Lance, G.N. and Williams, W.T. (1967),
"A General Theory of Classificatory
Sorting Strategies. I. Hierarchical Systems,"
*Computer Journal*, 9, 373 -380.

Massart, D.L. and Kaufman, L. (1983), *The Interpretation
of Analytical Chemical Data by the Use of Cluster Analysis*,
New York: John Wiley & Sons, Inc.

McQuitty, L.L. (1957), "Elementary Linkage Analysis for
Isolating Orthogonal and Oblique Types and Typal Relevancies,"
*Educational and Psychological Measurement*, 17, 207 -229.

McQuitty, L.L. (1966), "Similarity Analysis
by Reciprocal Pairs for Discrete and Continuous Data,"
*Educational and Psychological Measurement*, 26, 825 -831.

Mezzich, J.E and Solomon, H. (1980), *Taxonomy and
Behavioral Science*, New York: Academic Press, Inc.

Milligan, G.W. (1979), "Ultrametric Hierarchical
Clustering Algorithms," *Psycho**metrika*, 44, 343 -346.

Milligan, G.W. (1980), "An Examination of the
Effect of Six Types of Error Perturbation on Fifteen
Clustering Algorithms," *Psychometrika*, 45, 325 -342.

Milligan, G.W. (1987), "A Study of the Beta-Flexible
Clustering Method," *College of Administrative Science
Working Paper Series*, 87 -61 Columbus, OH: The Ohio
State University.

Milligan, G.W. and Cooper, M.C. (1985),
"An Examination of Procedures for Determining
the Number of Clusters in a Data Set,"
*Psychometrika*, 50,159 -179.

Milligan, G.W. and Cooper, M.C. (1987),
"A Study of Variable Standardization,"
*College of Administrative Science Working Paper Series*,
87 -63, Columbus, OH: The Ohio State University.

Rouncefield, M. (1995), "The Statistics of Poverty and
Inequality," *Journal of Statistics Education*, 3(2).
[Online]: [http://www.stat.ncsu.edu/info/jse], accessed Dec. 19, 1997.

Sarle, W.S. (1983), *Cubic Clustering Criterion*,
SAS Technical Report A-108, Cary, NC: SAS Institute Inc.

Silverman, B.W. (1986), *Density Estimation*,
New York: Chapman and Hall.

Sneath, P.H.A. (1957), "The Application of Computers to
Taxonomy," *Journal of General Microbiology*, 17, 201 -226.

Sneath, P.H.A. and Sokal, R.R. (1973),
*Numerical Taxonomy*, San Francisco: Freeman.

Sokal, R.R. and Michener, C.D. (1958),
"A Statistical Method for
Evaluating Systematic Relationships,"
*University of Kansas Science Bulletin*, 38, 1409 -1438.

Sorensen, T. (1948), "A Method of Establishing Groups
of Equal Amplitude in Plant Sociology Based on Similarity of
Species Content and Its Application to Analyses of the
Vegetation on Danish Commons," *Biologiske Skrifter*, 5, 1 -34.

Spath, H. (1980), *Cluster Analysis Algorithms*,
Chichester, England: Ellis Horwood.

Symons, M.J. (1981), "Clustering Criteria and
Multivariate Normal Mixtures," *Biometrics*, 37, 35 -43.

Ward, J.H. (1963), "Hierarchical Grouping to Optimize
an Objective Function," *Journal of the American
Statistical Association*, 58, 236 -244.

Wishart, D. (1969), "Mode Analysis: A Generalisation
of Nearest Neighbour Which Reduces Chaining Effects,"
in *Numerical Taxonomy*,
ed. A.J. Cole, London: Academic Press.

Wong, M.A. (1982), "A Hybrid Clustering Method
for Identifying High-Density Clusters," *Journal
of the American Statistical Association*, 77, 841 -847.

Wong, M.A. and Lane, T. (1983), "A *k*th Nearest
Neighbor Clustering Procedure," *Journal of the Royal
Statistical Society*, Series B, 45, 362 -368.

Wong, M.A. and Schaack, C. (1982), "Using the *k*th
Nearest Neighbor Clustering Procedure to Determine the Number
of Subpopulations," *American Statistical Association
1982 Proceedings of the Statistical Computing Section*, 40 -48.

Chapter Contents |
Previous |
Next |
Top |

Copyright © 1999 by SAS Institute Inc., Cary, NC, USA. All rights reserved.