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This article concerns the problem of estimating a continuous distribution in a diseased or nondiseased population when only group‐based test results on the disease status are available. The problem is challenging in that individual disease statuses are not observed and testing results are often subject to misclassification, with further complication that the misclassification may be differential as...
Group testing has been widely used as a cost‐effective strategy to screen for and estimate the prevalence of a rare disease. While it is well‐recognized that retesting is necessary for identifying infected subjects, it is not required for estimating the prevalence. For a test without misclassification, gains in statistical efficiency are expected from incorporating retesting results in the estimation...
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