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An Empirical Bayes Group-Testing Approach to Estimating Small Proportions
Ist Teil von
Communications in statistics. Theory and methods, 2003-01, Vol.32 (5), p.983-995
Ort / Verlag
Philadelphia, PA: Taylor & Francis Group
Erscheinungsjahr
2003
Link zum Volltext
Quelle
Taylor & Francis Journals Auto-Holdings Collection
Beschreibungen/Notizen
Group testing has long been recognized as a safe and sensible alternative to one-at-a-time testing in applications wherein the prevalence rate p is small. In this article, we develop an empirical Bayes (EB) procedure to estimate p using a beta-type prior distribution and a squared-error loss function. We show that the EB estimator is preferred over the usual maximum likelihood estimator (MLE) for small group sizes and small p. In addition, we also discuss interval estimation and consider the use of other loss functions perhaps more appropriate in public health studies. The proposed methods are illustrated using group-testing data from a prospective hepatitis C virus study conducted in Xuzhou City, China.