Sankhya: The Indian Journal of Statistics
2004, Volume 66, Pt. 4, 779-790
Hierarchical Screening with Retesting in a Low Prevalence Population
Nyongesa L. Kennedy, Sichuan University, P.R. China
SUMMARY . This article develops the effect of imperfect inspection on screening acceptance-sampling procedure with retesting in a low prevalence population. The procedure is based on pooling samples and testing the pool as a whole for presence or absence of infected samples, then retesting the pools that test positive on the first test, and proceeding to individual testing only if such presence is also indicated on retest. If sampling is perfect, the procedure can reduce the expected cost, and accuracy is attained especially if the proportion of infection is low. Modifications on the procedure to hierarchical screening, which are aimed at further reduction in expected number of tests, are discussed.
AMS (1991) subject classification. 62D05 ;
Key words and phrases. Infected, non-infected, pool, tests, sensitivity, specificity.