Combining independent studies of a diagnostic test into a summary ROC curve: data-analytic approaches and some additional considerations.

@article{Moses1993CombiningIS,
  title={Combining independent studies of a diagnostic test into a summary ROC curve: data-analytic approaches and some additional considerations.},
  author={Lincoln E. Moses and Daniel Shapiro and Benjamin Littenberg},
  journal={Statistics in medicine},
  year={1993},
  volume={12 14},
  pages={1293-316}
}
We consider how to combine several independent studies of the same diagnostic test, where each study reports an estimated false positive rate (FPR) and an estimated true positive rate (TPR). We propose constructing a summary receiver operating characteristic (ROC) curve by the following steps. (i) Convert each FPR to its logistic transform U and each TPR to its logistic transform V after increasing each observed frequency by adding 1/2. (ii) For each study calculate D = V - U, which is the log… CONTINUE READING
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