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Optimal sampling ratios in comparative diagnostic trials

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  • Ting Dong
  • Liansheng Larry Tang
  • William F. Rosenberger

Abstract

type="main" xml:id="rssc12043-abs-0001"> A subjective sampling ratio between the case and the control groups is not always an efficient choice to maximize the power or to minimize the total required sample size in comparative diagnostic trials. We derive explicit expressions for an optimal sampling ratio based on a common variance structure shared by several existing summary statistics of the receiver operating characteristic curve. We propose a two-stage procedure to estimate adaptively the optimal ratio without pilot data. We investigate the properties of the proposed method through theoretical proofs, extensive simulation studies and a real example in cancer diagnostic studies.

Suggested Citation

  • Ting Dong & Liansheng Larry Tang & William F. Rosenberger, 2014. "Optimal sampling ratios in comparative diagnostic trials," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 63(3), pages 499-514, April.
    • Handle: RePEc:bla:jorssc:v:63:y:2014:i:3:p:499-514
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    File URL: http://hdl.handle.net/10.1111/rssc.2014.63.issue-3
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