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Multivariate Statistical Methods and Classification Problems

Published online by Cambridge University Press:  29 January 2018

A. E. Maxwell
A. E. Maxwell*
Affiliation:
Institute of Psychiatry (University of London), De Crespigny Park, London S.E.5
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Extract

Multivariate statistical methods are being used increasingly in an effort to clarify problems in psychiatric classification. Numerous references to their application could be given, but it is sufficient here to mention recent publications by Kiloh and Garside (1963), Carney, Roth and Garside (1965) and by Kendell (1968) which have received especial attention (e.g. Eysenck, 1970), as they are concerned with the longstanding controversy about the classification of depressive illness. But there is some confusion, not least amongst the critics, about the particular roles which different multivariate techniques, notably factor analysis, can play in classification problems, and in this paper an attempt is made to clarify the situation. Almost as a trial of the reader's endurance this attempt necessitates some preliminary discussion of the psychometric concept of a ‘unitary trait’ and of the statistical rules involved in defining it. But after this problem has been disposed of attention is confined to a discussion of the main multivariate techniques in question—factor analysis, discriminant function and canonical variate analysis, and finally cluster analysis. The attitude adopted in the paper is admittedly purist, but when controversy arises, as in the case of the classification of depressive illnesses, it is well to be clear about the precise properties and purposes of the statistical models we employ if confusion is to be avoided.

Type
Research Article
Information
The British Journal of Psychiatry , Volume 119 , Issue 549 , August 1971 , pp. 121 - 127
Copyright
Copyright © The Royal College of Psychiatrists, 1971 

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References

Carney, M. W. P., Roth, M., and Garside, R. F. (1965). ‘The diagnosis of depressive syndromes and the prediction of E.C.T. response.’ Brit. J. Psychiat., 111, 659–74.CrossRefGoogle ScholarPubMed
Eysenck, H. J. (1970). ‘The classification of depressive illness.’ Brit. J. Psychiat., 117, 241–50.CrossRefGoogle Scholar
Fisher, R. A. (1936). ‘The use of multiple measurements in taxonomic problems.’ Ann. Eugen. (Lond.), 7, 179–84.Google Scholar
Friedman, H. P., and Rubin, J. (1967). ‘On some invariant criteria for grouping data.’ J. Amer. statist. Assoc. 62, 1159–78.CrossRefGoogle Scholar
Genrelli, J. A. (1963). ‘A method for detecting subgroups in a population and specifying their membership.’ J. Psychol., 55, 457–68.Google Scholar
Hamilton, M. (1959). ‘The assessment of anxiety states by rating.’ Brit. J. med. Psychol., 33, 50–5.Google Scholar
Hope, K. (1969). ‘Review of The Classification of Depressive Illnesses, by R. E. Kendell.’ Brit. J. Psychiat., 115, 731–41.Google Scholar
Jöreskog, K. G. (1967). ‘Some contributions to maximum likelihood factor analysis.’ Psychometrika, 32, 443–82.CrossRefGoogle Scholar
Kendell, R. E. (1968). The Classification of Depressive Illnesses, Institute of Psychiatry Maudsley Monograph No. 18. London: Oxford University Press.Google Scholar
Kiloh, L. G., and Garside, R. F. (1963). ‘The independence of neurotic depression and endogenous depression.’ Brit. J. Psychiat., 109, 451–63.CrossRefGoogle ScholarPubMed
Kruskal, J. B. (1964). ‘Nonmetric multidimensional scaling: A numerical method.’ Psychometrika, 29, 115–29.CrossRefGoogle Scholar
Phillips, J. P. N. (1966). ‘On a certain type of partial higher-ordered metric scaling.’ Brit. J. math and stat. Psychol., 19, 77–86.CrossRefGoogle ScholarPubMed
Rao, C. R. (1948). ‘The utilization of multiple measurements in problems of biological classification.’ J. Roy. statist. Soc. B., 10, 159–93.Google Scholar
Torgerson, W. S. (1968). ‘Scaling.’ In International Encyclopedia of the Social Sciences, 14, 25–39. Macmillan Inc.Google Scholar
Wolfe, J. H. (1965). ‘A computer program for the maximum likelihood analysis of types.’ Technical Bulletin 65–15. San Diego: Bureau of Naval Personnel.Google Scholar
Wolfe, J. H. (1967). Normix: computation methods for estimating the parameters of multivariate normal mixture of distributions. Research Memorandum SRM 68–2. San Diego: Bureau of Naval Personnel.Google Scholar
Zubin, J. (1938). A technique for measuring likemindedness. J. abn. soc. Psychol., 33, 508–16.CrossRefGoogle Scholar
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