| Asymptotic Properties of the Sequential Empirical ROC and PPV Curves (2009) | |||||||||||
Abstract | |||||||||||
| The receiver operating characteristic (ROC) curve and the positive predictive value (PPV) curve are two common measures of performance for a diagnostic biomarker. The independent increments covariance structure assumption is common in the group sequential study design literature. Showing that summary measures of the ROC and PPV curves have an independent increments covariance structure will provide flexibility when designing group sequential diagnostic biomarker studies. The ROC and PPV curves are often estimated empirically to avoid assumptions about the distributional form of the biomarkers. In this paper we derive asymptotic theory for the sequential empirical ROC and PPV curves. These results are used to show that the independent increments assumption holds for some summary measures of the ROC and PPV curves when estimated empirically. | |||||||||||
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