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Biometrika 1976 63(1):1-12; doi:10.1093/biomet/63.1.1
© 1976 by Biometrika Trust
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Statistical diagnosis when basic cases are not classified with certainty

J. AITCHISON and C. B. BEGG

Department of Statistics, University of Glasgow

A need is identified for statistical diagnostic techniques based on data sets containing cases which have not been allocated to a single diagnostic type with certainty but for which only an assessment of the probabilities of the types is available. In order to construct a statistical diagnostic system applicable to new cases it is necessary to introduce even more complex diagnostic assessments and a central part of the analysis is concerned with the reduction of such assessments to simpler, more interpretable forms. The theory provides a generalization of current statistical diagnostic techniques, and its relationship to these is discussed.

Key Words: Discrimination • Hierarchy of diagnostic statements • Logistic transform • Medical diagnosis • Predictive distribution


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