Estimating ordered binomial proportions with the use of group testing. (English) Zbl 1034.62117
Summary: 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.
MSC:
62P10 | Applications of statistics to biology and medical sciences; meta analysis |
62F30 | Parametric inference under constraints |
62F10 | Point estimation |