Optimal administration of dual screening tests for detecting a characteristic with special reference to low prevalence diseases.

We consider the problem of deciding optimally whether a characteristic exists based on one or two screening tests. We discuss the relative merits of giving either one or two tests, including the order in which they might be given, as well as their costs. Operating in the Bayesian mode, we derive posterior distributions for the accuracies of the tests and the prevalence of the characteristic. Applications to detecting rare conditions, such as the AIDS virus, are discussed.

[1]  Joseph L. Gastwirth,et al.  Bayesian analysis of screening data: Application to AIDS in blood donors , 1991 .

[2]  Joseph L. Gastwirth,et al.  Estimation of the prevalence of a rare disease, preserving the anonymity of the subjects by group testing: application to estimating the prevalence of aids antibodies in blood donors , 1989 .

[3]  H. Eggers,et al.  Comparison of two commercially available anti‐HIV ELISAs: Abbott HTLV III EIA and Du Pont HTLV III‐ELISA , 1987, Journal of medical virology.

[4]  Joseph L. Gastwirth,et al.  The Statistical Precision of Medical Screening Procedures: Application to Polygraph and AIDS Antibodies Test Data , 1987 .

[5]  Seymour Geisser,et al.  [The Statistical Precision of Medical Screening Procedures: Application to Polygraph and AIDS Antibodies Test Data]: Comment , 1987 .

[6]  P. Mortimer,et al.  Clinical evaluation of Abbott and Wellcome enzyme linked immunosorbent assays for detection of serum antibodies to human immunodeficiency virus (HIV). , 1987, Journal of clinical pathology.

[7]  J. Chiavetta,et al.  Evaluation of a confidential method of excluding blood donors exposed to human Immunodeficiency virus , 1986, Transfusion.

[8]  L. Tierney,et al.  Accurate Approximations for Posterior Moments and Marginal Densities , 1986 .

[9]  O. Jarrett,et al.  A comparison of three methods of feline leukaemia virus diagnosis , 1982, Veterinary Record.

[10]  P. Enterline,et al.  An evaluation of some commonly used screening tests for heart disease and hypertension. , 1955, Journal of chronic diseases.