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A step-by-step algorithm for combining diagnostic tests

Author

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  • Luis Mariano Esteban
  • Gerardo Sanz
  • Angel Borque

Abstract

Combining data of several tests or markers for the classification of patients according to their health status for assigning better treatments is a major issue in the study of diseases such as cancer. In order to tackle this problem, several approaches have been proposed in the literature. In this paper, a step-by-step algorithm for estimating the parameters of a linear classifier that combines several measures is considered. The optimization criterion is to maximize the area under the receiver operating characteristic curve. The algorithm is applied to different simulated data sets and its performance is evaluated. Finally, the method is illustrated with a prostate cancer staging database.

Suggested Citation

  • Luis Mariano Esteban & Gerardo Sanz & Angel Borque, 2011. "A step-by-step algorithm for combining diagnostic tests," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(5), pages 899-911, February.
    • Handle: RePEc:taf:japsta:v:38:y:2011:i:5:p:899-911
    DOI: 10.1080/02664761003692373
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    References listed on IDEAS

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    1. Shuangge Ma & Jian Huang, 2007. "Combining Multiple Markers for Classification Using ROC," Biometrics, The International Biometric Society, vol. 63(3), pages 751-757, September.
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    1. 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.
    2. 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.

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