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Activity Number: 275
Type: Contributed
Date/Time: Tuesday, August 5, 2008 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #301039
Title: Optimum Two-Stage Sampling with Inexpensive Error-Prone and Expensive Error-Free Measures for Designing a Case-Control Study
Author(s): Jun-mo Nam*+
Companies: National Cancer Institute
Address: Executive Plaza South/ Romm 8028, Rockville, MD, 20852-7244,
Keywords: cost efficient double sampling ; fallible classification ; gold standard ; optimum sample size ; validation sub-sampling
Abstract:

We consider a case-control study design using two-stage sampling in which case and controls are classified as exposed or not-exposed by an inexpensive but error-prone measure in the 1st stage and it's sub-sampling is classified by the expensive but error-free measure in the 2nd stage. We provide the optimum proportion for validation size to the primary one which maximize precision of estimation of a true odds ratio for a given total cost, and present the optimum sample size formulae for designing a case-control study. We compare our optimal design with McNamee's optimal designs. Examples are given for numerical illustrations. A gain in precision of estimation and cost reduction resulted from the optimal allocation in a comparison with those not using the optimal rule is substantial when a unit cost ratio of the gold standard to a fallible classification is very high.


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Revised September, 2008