Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-03T04:15:47.899Z Has data issue: false hasContentIssue false
  • English
  • Français

Towards models of screening for early detection of disease

Published online by Cambridge University Press:  01 July 2016

A. K. Shahani  and
D. M. Crease
A. K. Shahani
Affiliation:
University of Southampton
D. M. Crease
Affiliation:
University of Southampton
Get access Rights & Permissions [Opens in a new window]

Abstract

Screening for an early detection of disease, particularly when the screening tests have to be carried out on a number of occasions during the lifetime of a person, is a complex issue and the development of suitable models that can help in setting up good screening programmes for a community is a challenging task. In most cases the current emphasis is on screening at regular intervals of time and the frequency of screening is determined, usually in an informal way, by factors like the nature of the test and the nature of the disease. Analysis of a simple two-state model leads to a basic building-block which can be used in the construction of models for a variety of screening programmes. The use of this building block is illustrated and it is shown that the determination of non-regular screening times in a formal manner can lead to a greater efficiency.

Keywords

DISEASE SCREENINGSCREENING MODELSSCREENING EFFICIENCY
Type
Research Article
Information
Advances in Applied Probability , Volume 9 , Issue 4 , December 1977 , pp. 665 - 680
Copyright
Copyright © Applied Probability Trust 1977 

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

Barlow, R. E., Hunter, L. C. and Proschan, F. (1963) Optimum checking procedures. J. Soc. Indust. Appl. Math. 11, 1078–1095.Google Scholar
Department of Health and Social Security (1976) Prevention and Health: Everybody's Business. Her Majesty's Stationery Office, London.Google Scholar
Fisher, R. A. and Tippett, L. H. C. (1928) Limiting forms of the frequency distribution of the largest or smallest member of a sample. Proc. Camb. Phil. Soc. 24, 180–190.Google Scholar
Johnson, N. L. and Kotz, S. (1970) Continuous Univariate Distributions — 1. Wiley, New York.Google Scholar
Kirch, R. L. A. and Klein, M. (1974) Surveillance schedules for medical examinations. Management Sci 20, 1403–1409.Google Scholar
Knox, E. G. (1973) A simulation system for screening procedures. In The future, and present indicatives. Problems and progress in medical care, 9th series, ed. McLachlan, G., Oxford University Press, London, 19–55.Google Scholar
Lincoln, T. L. and Weiss, G. H. (1964) A statistical evaluation of recurrent medical examinations. Opns Res. 12, 187–205.Google Scholar
Munford, A. G. and Shahani, A. K. (1972) A nearly optimal inspection policy. Op. Res. Quart. 23, 373–379.Google Scholar
Munford, A. G. and Shahani, A. K. (1973) An inspection problem for the Weibull case. Op. Res. Quart. 24, 453–458.Google Scholar
Nuffield Provincial Hospitals Trust (1968) Screening in Medical Care: Reviewing the Evidence. Oxford University Press, London.Google Scholar
Peto, R. and Lee, P. (1973) Weibull distributions for continuous carcinogenesis experiments. Biometrics 29, 457–470.CrossRefGoogle ScholarPubMed
Prorok, P. C. (1976) The theory of periodic screening. I: Adv. Appl. Prob. 8, 127–143.CrossRefGoogle Scholar
Weibull, W. (1951) A statistical distribution of wide applicability. J. Appl. Mech. 18, 293–297.CrossRefGoogle Scholar
Zelen, M. (1971) Problems in the early detection of disease and the finding of faults. Proc. Int. Statist. Inst. 3A, 1–11.Google Scholar