A wild bootstrap approach for the selection of biomarkers in early diagnostic trials
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A wild bootstrap approach for the selection of biomarkers in early diagnostic trials. / Zapf, Antonia; Brunner, Edgar; Konietschke, Frank.
in: BMC MED RES METHODOL, Jahrgang 15, 01.05.2015, S. 43.Publikationen: SCORING: Beitrag in Fachzeitschrift/Zeitung › SCORING: Zeitschriftenaufsatz › Forschung › Begutachtung
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TY - JOUR
T1 - A wild bootstrap approach for the selection of biomarkers in early diagnostic trials
AU - Zapf, Antonia
AU - Brunner, Edgar
AU - Konietschke, Frank
PY - 2015/5/1
Y1 - 2015/5/1
N2 - BACKGROUND: In early diagnostic trials, particularly in biomarker studies, the aim is often to select diagnostic tests among several methods. In case of metric, discrete, or even ordered categorical data, the area under the receiver operating characteristic (ROC) curve (denoted by AUC) is an appropriate overall accuracy measure for the selection, because the AUC is independent of cut-off points.METHODS: For selection of biomarkers the individual AUC's are compared with a pre-defined threshold. To keep the overall coverage probability or the multiple type-I error rate, simultaneous confidence intervals and multiple contrast tests are considered. We propose a purely nonparametric approach for the estimation of the AUC's with the corresponding confidence intervals and statistical tests. This approach uses the correlation among the statistics to account for multiplicity. For small sample sizes, a Wild-Bootstrap approach is presented. It is shown that the corresponding intervals and tests are asymptotically exact.RESULTS: Extensive simulation studies indicate that the derived Wild-Bootstrap approach keeps and exploits the nominal type-I error at best, even for high accuracies and in case of small samples sizes. The strength of the correlation, the type of covariance structure, a skewed distribution, and also a moderate imbalanced case-control ratio do not have any impact on the behavior of the approach. A real data set illustrates the application of the proposed methods.CONCLUSION: We recommend the new Wild Bootstrap approach for the selection of biomarkers in early diagnostic trials, especially for high accuracies and small samples sizes.
AB - BACKGROUND: In early diagnostic trials, particularly in biomarker studies, the aim is often to select diagnostic tests among several methods. In case of metric, discrete, or even ordered categorical data, the area under the receiver operating characteristic (ROC) curve (denoted by AUC) is an appropriate overall accuracy measure for the selection, because the AUC is independent of cut-off points.METHODS: For selection of biomarkers the individual AUC's are compared with a pre-defined threshold. To keep the overall coverage probability or the multiple type-I error rate, simultaneous confidence intervals and multiple contrast tests are considered. We propose a purely nonparametric approach for the estimation of the AUC's with the corresponding confidence intervals and statistical tests. This approach uses the correlation among the statistics to account for multiplicity. For small sample sizes, a Wild-Bootstrap approach is presented. It is shown that the corresponding intervals and tests are asymptotically exact.RESULTS: Extensive simulation studies indicate that the derived Wild-Bootstrap approach keeps and exploits the nominal type-I error at best, even for high accuracies and in case of small samples sizes. The strength of the correlation, the type of covariance structure, a skewed distribution, and also a moderate imbalanced case-control ratio do not have any impact on the behavior of the approach. A real data set illustrates the application of the proposed methods.CONCLUSION: We recommend the new Wild Bootstrap approach for the selection of biomarkers in early diagnostic trials, especially for high accuracies and small samples sizes.
KW - Algorithms
KW - Biomarkers
KW - Computer Simulation
KW - Confidence Intervals
KW - Diagnostic Tests, Routine
KW - Humans
KW - Models, Statistical
KW - Probability
KW - ROC Curve
KW - Journal Article
KW - Research Support, Non-U.S. Gov't
U2 - 10.1186/s12874-015-0025-y
DO - 10.1186/s12874-015-0025-y
M3 - SCORING: Journal article
C2 - 25925052
VL - 15
SP - 43
JO - BMC MED RES METHODOL
JF - BMC MED RES METHODOL
SN - 1471-2288
ER -