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A sequential conditional probability ratio test procedure for comparing diagnostic tests

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  • Liansheng Tang
  • Ming Tan
  • Xiao-Hua Zhou

Abstract

In this paper, we derive sequential conditional probability ratio tests to compare diagnostic tests without distributional assumptions on test results. The test statistics in our method are nonparametric weighted areas under the receiver-operating characteristic curves. By using the new method, the decision of stopping the diagnostic trial early is unlikely to be reversed should the trials continue to the planned end. The conservatism reflected in this approach to have more conservative stopping boundaries during the course of the trial is especially appealing for diagnostic trials since the end point is not death. In addition, the maximum sample size of our method is not greater than a fixed sample test with similar power functions. Simulation studies are performed to evaluate the properties of the proposed sequential procedure. We illustrate the method using data from a thoracic aorta imaging study.

Suggested Citation

  • Liansheng Tang & Ming Tan & Xiao-Hua Zhou, 2011. "A sequential conditional probability ratio test procedure for comparing diagnostic tests," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(8), pages 1623-1632, July.
    • Handle: RePEc:taf:japsta:v:38:y:2011:i:8:p:1623-1632
    DOI: 10.1080/02664763.2010.515678
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    References listed on IDEAS

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    1. Liansheng Tang & Scott S. Emerson & Xiao-Hua Zhou, 2008. "Nonparametric and Semiparametric Group Sequential Methods for Comparing Accuracy of Diagnostic Tests," Biometrics, The International Biometric Society, vol. 64(4), pages 1137-1145, December.
    2. Xiaoping Xiong & Ming Tan & James Boyett, 2003. "Sequential Conditional Probability Ratio Tests for Normalized Test Statistic on Information Time," Biometrics, The International Biometric Society, vol. 59(3), pages 624-631, September.
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