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Computation of Moments in Group Testing with Re-testing and with Errors in Inspection
Cox Lwaka Tamba, Martin Wafula Nandelenga
Pages - 1 - 15     |    Revised - 20-01-2014     |    Published - 11-02-2014
Volume - 3   Issue - 1    |    Publication Date - January / February 2014  Table of Contents
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KEYWORDS
Group, Re-test, Specificity, Sensitivity, Multinomial, Misclassifications.
ABSTRACT
Screening of grouped urine sample was suggested during the Second World War as a method for reducing the cost of detecting syphilis in U.S. soldiers. Grouping has been used in epidemiological studies for screening of human immunodeficiency virus HIV/AIDS antibody to help curb the spread of the virus in recent studies. It reduces the cost of testing and more importantly it offers a feasible way to lower the misclassifications associated with labeling samples when imperfect tests are used. Furthermore, misclassifications can be reduced by employing a re-testing design in a group testing procedure. This study has developed a computational statistical model for classifying a large sample of interest based on a proposed design of group testing with re-testing. This model permits computation of moments on the number of tests and misclassification arising in this design. Simulated data from a multinomial distribution (specifically a trinomial distribution) has been used to illustrate these computations. From our study, it has been established that re-testing reduces misclassifications significantly and more so, it is stable at high rates of probability of incidences as compared to Dorfman procedure although re-testing comes with a cost i.e. increase in the number of tests. Re-testing considered reduces the sensitivity of the testing scheme but at the same time it improves the specificity.
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Dr. Cox Lwaka Tamba
Faculty of Science/ Department of Mathematics /Division of Statistics Egerton University P.O Box 536, Egert on, Kenya - Kenya
clwaka@yahoo.com
Dr. Martin Wafula Nandelenga
Faculty of Arts and Social Sciences/Department of Economics Egerton University P.O Box 536, Egerton, Kenya - Kenya