Estimation Procedures in Group Testing
Abstract
Estimation of proportion of defective items using group testing has been proven to be more
precise (reduced MSE) and economical than individual testing. Seven point estimators
have been explored in this project with their applicability and emphasis laid on the
bias corrected and empirical Bayes estimators. Using an example, these two class of
estimators have been shown to be superior to the maximum likelihood and classical
Bayesian estimators. Four methods of obtaining group size have been examined with an
in-depth description of group sizes obtained from optimizing the MSE and the method
of adjusting the group size from one testing phase to another which are recommended.
Finally, six interval estimates are explored with special consideration laid on the variance
stabilized interval (VSI) a Wald interval generated with a stabilized variance (free of the
proportion estimate). Using an example this Interval has been shown to overcome the
problem of negative endpoints.
Publisher
University of Nairobi
Rights
Attribution-NonCommercial-NoDerivs 3.0 United StatesUsage Rights
http://creativecommons.org/licenses/by-nc-nd/3.0/us/Collections
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