Estimating ordered binomial proportions with the use of group testing

Joshua M. Tebbs

Biometrika, 2003, vol. 90, issue 2, 471-477

Abstract: This paper considers group testing when the probability of response is increasing across the levels of an observed covariate. We illustrate how previously known results in order-restricted inference can be extended to situations wherein data are collected according to a group-testing protocol, and we derive maximum likelihood estimators for proportions under the increasing order restriction and group-testing model. Finally, we show how the use of group testing can dramatically reduce the bias and mean squared error of isotonic regression estimators obtained from one-at-a-time testing. These proposed methods are illustrated using data from an observational HIV study conducted in Houston, Texas. Copyright Biometrika Trust 2003, Oxford University Press.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:oup:biomet:v:90:y:2003:i:2:p:471-477

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