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² Ibid.

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⁶ Principal component analysis may be done using either covariances or correla tions between variables. In the former case, linear combinations of the original variables as they stand are considered; in the latter, linear combinations of the variables standardised to have unit variance are used. In what follows, the principal components are derived using correlations. This is because it is inad visable to use covariances when different variables are measured in different units (e.g. age, persons/room) and particularly when some of the variables are qualitative (e.g. sex).

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¹⁸ It was not the intention of this study to explore these relationships rigorously. Rather, our comments are included merely to suggest both the utility of cluster analysis and the nature of the associations between variables. Note that the com ments made are based on the greater detail of the reference of note 17, and only partly on Tables 5 and 6. This is especially true with respect to the ‘income’ variable, for which there are problems both of definition and of division. Full details are in the reference of note 17. Recent British research has confirmed the complexity of these and other associations. See, for example: Abrams, M.; Beyond Three Score Years and Ten, Age Concern, London, 1978;Google ScholarTownsend, P., ‘The structured dependency of the elderly: a creation of social policy in the twentieth century’, Ageing and Society, 1, 1981, pp. 5–28;CrossRefGoogle ScholarWalker, A., ‘Towards a political economy of old age’, Ageing and Society, 1, 1981, pp. 73–94.CrossRefGoogle Scholar

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²⁰ Bebbington, A. C. and Davies, B. P., ‘Territorial need indicators: a new approach – Part I and II’, Journal of Social Policy, 9, 1980, pp. 145–68 and 433–62.CrossRefGoogle Scholar

²¹ Ibid.

²² Taylor, R. and Ford, G., ‘Lifestyle and ageing’, Ageing and Society, I, 1981, pp. 329–45.CrossRefGoogle Scholar

²³ See, for example, Erickson, E. P., ‘A regression method for estimating population changes of local areas’, Journal of the American Statistical Association, 69, 1974, pp. 867–75;CrossRefGoogle ScholarHenmann, L. F., Identifying the Housing and Support Service Needs of the Semi-Independent Elderly: Towards a Descriptive Planning Model for the Area Agencies on Ageing in Illinois, Housing Research and Development, University of Illinois, 1977;Google ScholarBebbington, and Davies, , op. cit.Google Scholar

²⁴ Bebbington, and Davies, , op. cit., p. 438.Google Scholar A similar approach to the allocation of health service resources from central government to the area health authorities is described by West, P. A., ‘Theoretical and practical equity in the NHS’, Social Science and Medicine, 150, 1981, pp. 117–22.Google Scholar

²⁵ Note that these approaches are not new in that they are employed in, e.g., Manchester's Old People: a study for the social service department: Local Government Operational Research Unit, Report No. C.120, 1972. However, the cluster analysis methodology used here is an improvement on that used previously:

²⁶ Curtis, S. E., ‘Spatial analysis of surgery locations in general practice’, Social Science and Medicine, 16, 1982, pp. 303–13;CrossRefGoogle ScholarPubMed and Curtis, S. E., ‘Spatial access, need and equity: an analysis of the accessibility of primary health facilities for the elderly in East Kent’, unpublished Ph.D. thesis, University of Kent at Canterbury, 1980.Google Scholar

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²⁸ Carter, J., Day Services for Adults, Allen and Unwin, London, 1981;Google ScholarEdwards, C., Gorbach, P. and Sinclair, I., ‘Day Centres for the elderly: variations in type, provision, and user response’, British Journal of Social Work, 10, 1980, pp. 419–30.Google Scholar

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