Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-14T17:21:58.028Z Has data issue: false hasContentIssue false
  • English
  • Français

Bounded Recurrence times and lead time in the design of a repetitive screening program

Published online by Cambridge University Press:  14 July 2016

Philip C. Prorok
Philip C. Prorok*
Affiliation:
National Cancer Institute
*
∗Postal address: Biometry Branch, National Cancer Institute, 5C19 Landow Building, National Institutes of Health, Bethesda, MD 20205, U.S.A.
Get access Rights & Permissions [Opens in a new window]

Abstract

An unsolved problem in the design of a repetitive screening trial is the determination of a procedure which yields the optimal number of screens for efficient evaluation. An approach to this problem described in this paper is to use lead time properties of cases detected at screening to define a stopping rule. Previous results are generalized by allowing the intervals between screens to be arbitrary, and the probability of detecting preclinical disease to vary among screens.

Keywords

REPETITIVE SCREENINGLEAD TIMEEARLY DETECTIONPROGRESSIVE DISEASE MODELPOINT PROCESSRECURRENCE TIME
Type
Research Paper
Information
Journal of Applied Probability , Volume 19 , Issue 1 , March 1982 , pp. 10 - 19
Copyright
Copyright © Applied Probability Trust 1982 

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

[1] Hager, W. W., Bain, L. J. and Antle, C. E. (1971) Reliability estimation for the generalized gamma distribution and robustness of the Weibull model. Technometrics 13, 547–557.Google Scholar
[2] Prorok, P. C. (1976a) The theory of periodic screening I: lead time and proportion detected. Adv. Appl. Prob. 8, 127–143.Google Scholar
[3] Prorok, P. C. (1976b) The theory of periodic screening II: doubly bounded recurrence times and mean lead time and detection probability estimation. Adv. Appl. Prob. 8, 460–476.Google Scholar
[4] Prorok, P. C. (1982) Evaluation of screening programs for the early detection of cancer. In Statistical Methods for Cancer Studies, ed. Cornell, R. J.. Dekker, New York.Google Scholar
[5] Prorok, P. C., Hankey, B. F. and Bundy, B. N. (1981) Concepts and problems in the evaluation of screening programs. J. Chronic Diseases 34, 159–171.Google Scholar
[6] Zelen, M. (1974) Problems in cell kinetics and the early detection of disease. In Reliability and Biometry, ed. Proschan, F. and Serfling, R. J., Society of Industrial and Applied Mathematics, Philadelphia, 701–726.Google Scholar
[7] Zelen, M. and Feinleib, M. (1969) On the theory of screening for chronic diseases. Biometrika 56, 601–614.Google Scholar