Abstract
The use of ROC curves in evaluating a continuous or ordinal biomarker for the discrimination of two populations is commonplace. However, in many settings, marker measurements above or below a certain value cannot be obtained. In this paper, we study the construction of a smooth ROC curve (or surface in the case of three populations) when there is a lower or upper limit of detection. We propose the use of spline models that incorporate monotonicity constraints for the cumulative hazard function of the marker distribution. The proposed technique is computationally stable and simulation results showed a satisfactory performance. Other observed covariates can be also accommodated by this spline-based approach.
Original language | English (US) |
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Pages (from-to) | 719-740 |
Number of pages | 22 |
Journal | Biometrical Journal |
Volume | 55 |
Issue number | 5 |
DOIs | |
State | Published - Sep 2013 |
Keywords
- Censoring
- Constrained least squares
- Diagnostic accuracy
- Smooth distribution function
- Smooth survival estimation
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty