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The Complete Analysis of a Data Matrix: Application and Interpretation

  • K. Hope (a1)
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In a recent article (Hope, 1969a) the author has demonstrated the theoretical relations between what psychologists call the analysis of persons and the analysis of tests. The demonstration was illustrated by an analysis of a hypothetical matrix M whose rows were called entities and whose columns were called variables. It was shown that, by combining Slater's (1964) method of spherical co-ordinate mapping with a method of numerical taxonomy suggested by the author, it is possible to perform a comprehensive and self-consistent pair of analyses whose conclusions can be read off three diagrams: a map of variables, a dendrogram of entities, and a profile diagram of the multivariate means of groups of entities.

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Fisher, R. A. (1936). ‘The use of multiple measurements in taxonomic problems.’ Ann. Eugen. (Lond.), 7, 179–88.
Hope, K. (1963). ‘The structure of hostility among normal and neurotic persons.’ Unpublished thesis submitted for the degree of Ph.D. in the University of London.
Hope, K. (1969a). “The complete analysis of a data matrix.” Brit. J. Psychiat., 115, 1069–79.
Hope, K. (1969b). ‘A guide to social investment.’ Appl. Soc. Studies, 1, 21–8.
Hope, K. (1969c). ‘Complete analysis: a method of interpreting multivariate data.’ J. Market Res, Soc., 11, 267–84.
Kant, I. (1781). Critique of Pure Reason. Trans. 1963 N. Kemp Smith. London: Macmillan.
Pearson, K. (1897). ‘Mathematical contributions to the theory of evolution—on a form of spurious correlation which may arise when indices are used in the measurement of organs.’ Proc. roy. Soc, 60, 489502.
Russell, B. A. W. (1897). An Essay on the Foundations of Geometry. Cambridge University Press.
Russell, B. A. W. (1954). My Philosophical Development. London: Allen and Unwin.
Slater, P. (1960). ‘A re-examination of some data collected by H. P. Hildebrand.’ In Eysenck, H. J. (ed.) Experiments in Personality, vol. II. London: Routledge.
Slater, P. (1964). The Principal Components of a Repertory Grid. London: Andrews.
Sokal, R. R., and Sneath, P. H. A. (1963). Principles of Numerical Taxonomy. San Francisco: Freeman.
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The British Journal of Psychiatry
  • ISSN: 0007-1250
  • EISSN: 1472-1465
  • URL: /core/journals/the-british-journal-of-psychiatry
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The Complete Analysis of a Data Matrix: Application and Interpretation

  • K. Hope (a1)
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