Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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UMP Unbiased Test for the Infection Rate in Group Testing

  • Published : 1999.04.01
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Abstract

When test outcomes of units are dichotomous and he infection rate is small group testing is more efficient that noe-to-one testing in estimating the true p and classifying units as infected or not. In this paper two-sided hypothesis testing and confidence intervals are derived based on the UMP(uniformly most powerful) unbiased test. The UMP unbiased approach is compared with Thompson's and Bhattacharyya et al.'s approaches by computing the length of confidence intervals and capture probabilities and shown to have a number of desirable properties. Unequal allocation one of advantages of the proposed approach is also mentioned.

Keywords

References

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