| The group-testing experimental design has received considerable attention in recent years due to its wide applicability to problems in public health, biology, genetics, phytopathology, manufacturing, and other areas. This paper considers group testing in the context wherein the probability of response, p, is isotonic (i.e., nondecreasing) on the levels of an observed covariate, T. Estimation under the isotonic assumption and approaches to testing for isotonicity are discussed. The proposed methods are illustrated using data from an HIV observational study done in Houston, Texas. |
