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Two simple algorithms on linear combination of multiple biomarkers to maximize partial area under the ROC curve

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  • Yu, Wenbao
  • Park, Taesung

Abstract

In clinical practices, it is common that several biomakers are related to a specific disease and each single marker does not have enough diagnostic power. An effective way to improve the diagnostic accuracy is to combine multiple markers. It is known that the area under the receiver operating characteristic curve (AUC) is very popular for evaluation of a diagnostic tool. Su and Liu (1993) derived the best linear combination that maximizes AUC when the markers are multivariate normally distributed. However, there are many applications that do not operate in the entire range of the curve, but only in particular regions of it, for example, high specificity regions. In these cases, it is more practical to analyze the partial area under the curve (pAUC). In this paper, we propose two easy-implemented algorithms, to find the best linear combination of multiple biomarkers that optimizes the pAUC, for given range of specificity. Analysis of synthesized and real datasets shows that the proposed algorithms achieve larger predictive pAUC values on future observations than existing methods, such as Su and Liu’s method, logistic regression and others.

Suggested Citation

  • Yu, Wenbao & Park, Taesung, 2015. "Two simple algorithms on linear combination of multiple biomarkers to maximize partial area under the ROC curve," Computational Statistics & Data Analysis, Elsevier, vol. 88(C), pages 15-27.
    • Handle: RePEc:eee:csdana:v:88:y:2015:i:c:p:15-27
    DOI: 10.1016/j.csda.2014.12.002
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    References listed on IDEAS

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    Cited by:

    1. Rocío Aznar-Gimeno & Luis M. Esteban & Rafael del-Hoyo-Alonso & Ángel Borque-Fernando & Gerardo Sanz, 2022. "A Stepwise Algorithm for Linearly Combining Biomarkers under Youden Index Maximization," Mathematics, MDPI, vol. 10(8), pages 1-26, April.
    2. Yusuf Yıldırım & Anirban Sanyal, 2022. "Evaluating the Effectiveness of Early Warning Indicators: An Application of Receiver Operating Characteristic Curve Approach to Panel Data," Scientific Annals of Economics and Business (continues Analele Stiintifice), Alexandru Ioan Cuza University, Faculty of Economics and Business Administration, vol. 69(4), pages 557-597, December.
    3. Rocío Aznar-Gimeno & Luis M. Esteban & Gerardo Sanz & Rafael del-Hoyo-Alonso & Ricardo Savirón-Cornudella, 2021. "Incorporating a New Summary Statistic into the Min–Max Approach: A Min–Max–Median, Min–Max–IQR Combination of Biomarkers for Maximising the Youden Index," Mathematics, MDPI, vol. 9(19), pages 1-17, October.

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