Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-22T17:22:47.752Z Has data issue: false hasContentIssue false

The Complete Analysis of a Data Matrix: Application and Interpretation

Published online by Cambridge University Press:  29 January 2018

K. Hope*
Affiliation:
Medical Research Council Unit for Research on the Epidemiology of Psychiatric Illness, Edinburgh University, Department of Psychiatry, Royal Edinburgh Hospital, Morningside Park, Edinburgh, 10. Now Lecturer in Methods of Social Research in the University of Oxford and Fellow of Nuffield College

Extract

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.

Type
Research Article
Copyright
Copyright © Royal College of Psychiatrists, 1970 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Fisher, R. A. (1936). ‘The use of multiple measurements in taxonomic problems.’ Ann. Eugen. (Lond.), 7, 179–88.Google Scholar
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 Unpublished thesis submitted for the degree of Ph.D. in the University of London.Google Scholar
Hope, K. (1969a). “The complete analysis of a data matrix.” Brit. J. Psychiat., 115, 1069–79.CrossRefGoogle Scholar
Hope, K. (1969b). ‘A guide to social investment.’ Appl. Soc. Studies, 1, 21–8.Google Scholar
Hope, K. (1969c). ‘Complete analysis: a method of interpreting multivariate data.’ J. Market Res, Soc., 11, 267–84.Google Scholar
Kant, I. (1781). Critique of Pure Reason. Trans. 1963 N. Kemp Smith. London: Macmillan.Google Scholar
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.Google Scholar
Russell, B. A. W. (1897). An Essay on the Foundations of Geometry. Cambridge University Press.Google Scholar
Russell, B. A. W. (1954). My Philosophical Development. London: Allen and Unwin.Google Scholar
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.Google Scholar
Slater, P. (1964). The Principal Components of a Repertory Grid. London: Andrews.Google Scholar
Sokal, R. R., and Sneath, P. H. A. (1963). Principles of Numerical Taxonomy. San Francisco: Freeman.Google Scholar
Submit a response

eLetters

No eLetters have been published for this article.