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On Setting Limits on Bodily Fluids for Classifying Individuals as Pathological
Author(s) -
Chou YounMin,
Owen D. B.
Publication year - 1987
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710290612
Subject(s) - statistics , range (aeronautics) , mathematics , sample size determination , sample (material) , limit (mathematics) , econometrics , mathematical analysis , chemistry , chromatography , materials science , composite material
Abstract The problem solved in this paper is that of determining the minimum sample size for setting the ‘normal’ range for bodily fluids. The proportions of too low and too high values which are considered ‘abnormal’ are chosen based upon medical considerations. The criterion used to determine the minimum sample size is that the proportions of the too low and too high values will be not exceeded by more than a prescribed amount with a given probability. The resulting limits are β‐expectation tolerance limits with the added condition just noted, and are labeled β‐expectation inner tolerance limits.