References
Anderberg, M.R. (1973).Cluster Analysis for Applications. New York: Academic Press.
Andrews, D.F. (1972). ‘Plots of high dimensional data’,Biometrics 28: 125–136.
Ball, G.H. (1971).Classification Analysis. Stanford Research Institute S R I Project 5533.
Ball, G.H. and Hall, D.J. (1967). ‘A clustering technique for summarizing multivariate data’,Behaviour Sci. 12: 153–155.
Ball, G.H. and Hall, D.J. (1970). ‘Some implications of interactive Graphic Computer systems for Data Analysis and Statistics’,Technometrics 12: 17–31.
Beale, E.M.L. (1969). ‘Euclidean cluster analysis’,Bull. I.S.I. 43, Book 2: 92–94.
Binder, D.A. (1978). ‘Bayesian Cluster Analysis’,Biometrika 65: 31–38.
Blashfield, R.K. (1976). ‘Mixture model tests of cluster analysis: Accuracy of four agglomerative hierarchical methods’,Psych. Bull. 83: 377–388.
Blashfield, R.K. (1976). Questionnaire on Cluster Analysis Software. Unpublished Paper, Pennsylvania State University.
Blashfield, R.K. (1977).A Consumer Report on Cluster Analysis Software. Unpublished Research Report, Pennsylvania State University.
Charlier, C.V.L. and Wicksell, S.D. (1924). ‘On the dissection of frequency functions’,Arkiv för Matematik Astronomy och Frjsik 18, No. 6.
Chernoff, H. (1973). ‘Using Faces to represent points in k-dimensional space graphically’,J. Am. Statist. Assoc. 68: 361–368.
Cohen, A.C. (1967). ‘Estimation in mixtures of two Normal Distributions’,Technometrics 9: 15–28.
Cormack, R.M. (1971). ‘A Review of Classification’,Journal of the Royal Statistical Society Series A, 134: 321–367.
Cox, D.R. (1978). ‘Some remarks on the role in statistics of graphical methods’,Applied Statistics 27: 4–9.
Cunningham, K.M. and Ogilvie, J.C. (1972). ‘Evaluation of hierarchical grouping techniques. A Preliminary Study’,The Computer Journal 15: 209–213.
Dahmström, P. and Hagnell, M. (1974).The Formation of Strata using Cluster Analysis. Dept. of Statistics, Lund, Sweden.
D'Andrade, R.G. (1978). ‘U-Statistic Hierarchical Clustering’,Psychometrika 43: 59–67.
Day, N.E. (1969). ‘Estimating the components of a mixture of normal distribution’,Biometrika 56: 463–474.
Defays, D. (1977). ‘An efficient algorithm for a complete link method’,Computer Journal 20: 364–366.
Edwards, A.W.F. and Cavalli-Sforza, L.L. (1965). ‘A method for cluster analysis’,Biometrics 21: 362–375.
Englemann, L. and Hartigan, J.A. (1969). ‘Percentage Points of a Test for cluster’,J. Amer. Statist. Assoc. 64: 1647–1648.
Everitt, B.S. (1974).Cluster Analysis. London: Heinemann.
Everitt, B.S. (1976). ‘Cluster Analysis’, C.A. O'Muircheartaigh and C. Payne (eds.)The Analysis of Survey Data. New York: Wiley.
Everitt, B.S. (1978a).Graphical Techniques for Multivariate Data. London: Heinemann.
Everitt, B.S. (1978b). A Test of Multivariate Normality against the alternative that the distribution is a mixture. Submitted toBiometrics.
Everitt, B.S., Gourlay, A.J. and Kendall, R.E. (1971). ‘An attempt at validation of traditional psychiatric syndromes by cluster analysis’,Brit. J. of Psych. 119: 399–412.
Fisher, L. and Van Ness, J.W. (1971). ‘Admissible Clustering Procedures’,Biometrika 58: 91–104.
Fleiss, J.L., Lawlor, W., Platman, S.R. and Fieve, R.R. (1971). ‘On the use of inverted factor analysis for generating typologies’,J. of Abnormal Psych. 77: 127–132.
Fleiss, J.L. and Zubin, J. (1969). ‘On the methods and theory of clustering’,Multiv. Behav. Res. 4: 235–250.
Florek, K., Lukaszewicz, J., Perkal, J., Steinhaus, H. and Zubrzycki, S. (1951). ‘Sur la liaison et la division des points d'un ensemble fini’,Colloquium Math. 2: 282–285.
Forgey, E.W. (1964). Evaluation of several methods for detecting sample mixtures from different N-dimensional populations. Amer. Psychol. Assoc., Los Angeles, California.
Friedman, H.P. and Rubin, J. (1967). ‘On some Invariant criteria for grouping data’,J. Am. Statist. Assoc. 62: 1159–1178.
Gower, J.C. (1975). ‘Goodness-of-fit criteria for classification and other patterned structures’,Proceedings of the 8th International Conference on Numerical Taxonomy: 38–62.
Gnanadesikan, R. (1977).Methods for Statistical Data Analysis of Multivariate Observations. New York: Wiley.
Gnanadesikan, R. and Wilk, M.B. (1969). ‘Data analytic methods in multivariate statistical analysis’, in P.R. Krishnaiah (ed.)Multivariate Analysis II. New York: Academic Press.
Golder, P.A. and Yeomans, K.A. (1973). ‘The use of cluster analysis for stratification’,Applied Statistics 22: 213–219.
Gordon, A.D. and Henderson, J.T. (1977). ‘An algorithm for Euclidean Sum of Squares Classification’,Biometrics 33: 355–362.
Hansen, P. and Delattre, M. (1978). ‘Complete-Link Cluster Analysis by Graph Coloring’,J. Amer. Statist. Assoc. 73: 397–403.
Hartigan, J.A. (1967). ‘The Representation of Similarity Matrices by Trees’,J. Amer. Statist. Assoc. 62: 1140–1158.
Hartigan, J.A. (1972). ‘Direct Clustering of a Data Matrix’,J. Amer. Statist. Assoc. 67: 123–129.
Hartigan, J.A. (1975).Clustering Algorithms. New York: Wiley.
Holgerson, M. (1975).Multivariate Stratification with the use of Cluster Analysis. Research Report, Dept. of Statistics. Sweden: University of Uppsala.
Holgerson, M. and Jorner, U. (1976).The decomposition of a mixture into normal components, A review. Research Report 76-113, University of Uppsala.
Hubert, L.J. (1973). ‘Monotone invariant clustering procedures’,Psychometrika 38: 47–62.
Jancey, R.C. (1966). ‘Multidimensional Group Analysis’,Aust. J. Bot. 14: 127–130.
Jardine, N. and Sibson, R. (1968). ‘The construction of hierarchic and non-hierarchic classifications’,Computer J. 11: 117–184.
Jardine, N. and Sibson, R. (1971).Mathematical Taxonomy. New York: Wiley.
Jensen, R.E. (1968). ‘A dynamic programming algorithm for cluster analysis’,Operations Res., 1034–1056.
Johnson, S.C. (1967). ‘Hierarchical Clustering Schemes’,Psychometrika 32: 241–254.
Kuiper, F.K. and Fisher, L. (1975). ‘A Monte Carlo comparison of six clustering procedures’,Biometrics 31: 777–783.
Lachenbruch, P.A. (1975).Discriminant Analysis. New York: Hafner.
Lance, G.N. and Williams, W.T. (1967a). ‘A general theory of classificatory sorting strategies. 1 Hierarchial Systems’,Computer J. 9: 373–380.
Lennington, R.K. and Flake, R.H. (1975). ‘Statistical Evaluation of a family of clustering methods’,Proc. of the 8th International Conference on Numerical Taxonomy.
Ling, R.F. (1971).Cluster Analysis. Unpublished Ph.D. Thesis, Dept. of Statistics, Yale University.
Ling, R.F. (1972). ‘On the theory and construction of k-clusters’,Computer J. 15: 326–332.
MacQueen, J. (1967). ‘Some methods for classification and analysis of multivariate observations’,Proc. 5th Berkeley Symp. 1: 281–297.
Maronna, R. and Jacovkis, P.M. (1974). ‘Multivariate clustering procedures with variable metrics’,Biometrics 30: 499–505.
Marriot, F.H.C. (1971). ‘Practical problems in a method of cluster analysis’,Biometrics 27: 501–514.
McQuitty, L.L. (1957). ‘Elementary linkage analysis for isolating orthogonal and oblique types and typal relevances’,Educ. Psychol. Measmt. 17: 207–229.
McRae, D.J. (1971). ‘MICKA, a FORTRAN IV iterative K-means cluster analysis program’,Behavioural Science 16: 423–424.
Mojena, R. (1977). ‘Hierarchical grouping methods and stopping rules: an evaluation’,Computer J. 20: 359–363.
Paykel, E.S. and Rassaby, E. (1978). ‘Classification of suicide attempters by cluster analysis’,Brit. J. of Psychiatry 133: 45–52.
Pearson, K. (1894). ‘Contributions to the mathematical theory of evolution’,Phil. Trans. Royal Soc. 185: 71–110.
Powell, G.E., Clark, E. and Bailey, S. (1978). Categories of Aphasia: a cluster analysis of Schuell test profiles.
Ross, G. (1971). ‘Discussion of Cormack — A review of classification’,Journal of the Royal Statistical Society Series A 134: 321–367.
Schuell, H. (1965).Differential Diagnosis of Aphasia. Minneapolis: University of Minnesota Press.
Schuell, H. and Sefer, H. (1973).Differential Diagnosis of Aphasia (revised). Minneapolis: University of Minnesota Press.
Scott, A.J. and Knott, M. (1974). ‘A Cluster Analysis method for grouping means in the analysis of variance’,Biometrics 30: 507–512.
Scott, A.J. and Symon, M.J. (1971). ‘Clustering methods based on likelihood ratio criteria’,Biometrics 27: 387–398.
Sibson, R. (1973). ‘SLINK: An optimally efficient algorithm for the single-link cluster method’,Computer J. 16: 30–34.
Sneath, P.H.A. (1957). ‘The application of computers to Taxonomy’,J. Gen. Microbiol. 17: 201–226.
Sneath, P.H.A. and Sokal, R.R. (1973).Numerical Taxonomy. San Francisco: W.H. Freeman.
Sokal, R.R. and Sneath, P.H.A. (1963).Principles of Numerical Taxonomy. London: Freeman.
Sokal, R.R. and Michener, C.D. (1958). ‘A statistical method for evaluating systematic relationships’,Univ. Kansas Sci. Bull. 38: 1409–1438.
Thorndike, R.L. (1953). ‘Who belongs in a family’,Psychometrika 18: 267–276.
Tyron, R.C. (1939).Cluster Analysis. Ann Arbor: Edward Brothers.
Ward, J.H. (1963). ‘Hierarchial Grouping to Optimize an objective function’,J. Amer. Statist. Assoc. 58: 236–244.
Williams, W.T., Lance, G.N., Dale, M.B. and Clifford, H.T. (1971). ‘Controversy concerning the criteria for taxonometric strategies’,Computer J. 14: 162–165.
Wishart, D. (1969a). ‘An algorithm for hierarchial classifications’,Biometrics 25: 165–170.
Wishart, D. (1969b). ‘Mode analysis’, pp. 282–308 in A.J. Cole (ed.). New York: Academic Press.
Wolfe, J.H. (1965).A Computer Program for the Maximum Likelihood Analysis of Types. Technical Bulletin 65–15, U.S. Naval Personnel Research Activity, San Diego.
Wolfe, J.H. (1967).NORMIX; computational methods for estimating the parameters of multivariate normal mixtures of distributions. Research Memorandum, S.R.M. 69–17, U.S. Naval Personnel Research Activity, San Diego.
Wolfe, J.H. (1970). ‘Pattern clustering by multivariate mixture analysis,’Multiv. Behavioural Research 5: 329–350.
Wolfe, J.H. (1971). A Monte Carlo study of the sampling distribution of the likelihood ratio for mixtures of multinormal distributions. Naval Personnel and Training Research Laboratory (San Diego, California 92152). Technical Bulletin STB 72–2.
Wolfe, J.H. (1978). ‘Comparative cluster analysis of patterns of vocational interest,’Multiv. Behav. Res. 13: 33–44.
Zahn, C.T. (1971). ‘Graph-Theoretical Methods for detecting and describing Gestalt Clusters’,IEEE Trans. Computers C 20: 68–86.
Zubin, J. (1938). ‘A technique for measuring likemindedness’,J. of Abnormal and Social Psychol. 33: 508–516.
Zubin, J. and Fleiss, J.L. (1965). ‘Taxonomy in the mental disorders—a historical perspective’ inSymposium on Explorations in Typology with Special Reference to Psychotics. New York: Human Ecology Fund.
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Everitt, B. Cluster analysis. Qual Quant 14, 75–100 (1980). https://doi.org/10.1007/BF00154794
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DOI: https://doi.org/10.1007/BF00154794