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Properties of a One-Sided Likelihood Ratio Test as Applied to Pool Screening

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  • Hongjiang Gao
  • Inmaculada B. Aban
  • Charles R. Katholi

Abstract

In the control of tropical disease, data are typically collected using pool screening design. When eradication programs have been in place for a period of time, researchers are interested in testing whether the disease prevalence is below a certain target level using one-sided likelihood ratio test (LRT). We will investigate the finite and large-sample properties of this test statistic. Based on simulations, if the number of pools is not large enough, the LRT has inflated type I error rate. Consequently, researchers will make the critical mistake of stopping the treatment when the target level has not been reached.

Suggested Citation

  • Hongjiang Gao & Inmaculada B. Aban & Charles R. Katholi, 2014. "Properties of a One-Sided Likelihood Ratio Test as Applied to Pool Screening," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(21), pages 4546-4565, November.
    • Handle: RePEc:taf:lstaxx:v:43:y:2014:i:21:p:4546-4565
    DOI: 10.1080/03610926.2012.714037
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