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Optimal sampling ratios in comparative diagnostic trials
Author(s) -
Dong Ting,
Tang Liansheng Larry,
Rosenberger William F.
Publication year - 2014
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.1111/rssc.12043
Subject(s) - sample size determination , sampling (signal processing) , mathematical proof , statistics , variance (accounting) , computer science , receiver operating characteristic , sampling design , sample (material) , mathematics , mathematical optimization , medicine , population , geometry , accounting , environmental health , filter (signal processing) , business , computer vision , chemistry , chromatography
Summary 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.