Regression analysis of group testing samples

This paper develops a general regression methodology that relates the group testing responses to individual covariate information. It can be used to study samples from a group testing procedure and to deal with a wide range of regression problems. A detailed illustration of the methodology is provided for a group testing procedure proposed by Gastwirth and Hammick. To demonstrate the utility of the method, simulation studies are performed on an HIV antibody testing data set published by Nusbacher et al.