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Biometrika 1974 61(2):313-324; doi:10.1093/biomet/61.2.313
© 1974 by Biometrika Trust
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Cases of doubt in allocation problems

J. D. F. HABBEMA1, J. HERMANS1 and A. T. VAN DER BURGT2

1Department of Medical Statistics, University of Leiden
2Information Systems and Aviomation Department, N. V Philips Gloeilampenfdbrieken Eindhoven

Allocation problems can involve elements whose original population is not conclusively indicated by the observation. These elements are called ‘cases of doubt’. In this paper a decision-theoretical model for allocation problems admitting cases of doubt is developed. The sampling situation is discussed both from a distribution-free point of view and for multinormal distributions. The theory is illustrated with an example from medical differential diagnosis.

Key Words: Allocation probabilities • Bayes rule • Decision theory • Discriminant analysis • Jack-knife • Region of doubt • Resubstitution


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