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A Bayesian Precision Profile for Measuring the Quality of Immunoassay Experiments

A. James O'Malley
Philosophical Transactions: Mathematical, Physical and Engineering Sciences
Vol. 366, No. 1874, Mathematical and Statistical Methods for Diagnoses and Therapies (Jul. 13, 2008), pp. 2301-2312
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/25190836
Page Count: 12
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A Bayesian Precision Profile for Measuring the Quality of Immunoassay Experiments
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Abstract

A precision profile, the relationship between the concentration of a substance and its measured precision, is a convenient way of conveying the ability of an immunoassay to accurately measure the concentration of a substance in blood serum. A precision profile is characterized by the definition of precision. Historically, precision has been evaluated as the standard error of an estimator of the concentration in a sample conditional on the true concentration. In this paper, Bayesian predictive inference is used to develop a new measure of precision based on the accuracy with which an assay could infer the concentration in a hypothetical new sample. This leads to a natural procedure for evaluating a precision profile that avoids using approximations such as those inherent in traditional methods.

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