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Maximum Likelihood Ratio Tests for Comparing the Discriminatory Ability of Biomarkers Subject to Limit of Detection

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  • Albert Vexler
  • Aiyi Liu
  • Ekaterina Eliseeva
  • Enrique F. Schisterman

Abstract

Summary In this article, we consider comparing the areas under correlated receiver operating characteristic (ROC) curves of diagnostic biomarkers whose measurements are subject to a limit of detection (LOD), a source of measurement error from instruments' sensitivity in epidemiological studies. We propose and examine the likelihood ratio tests with operating characteristics that are easily obtained by classical maximum likelihood methodology.

Suggested Citation

  • Albert Vexler & Aiyi Liu & Ekaterina Eliseeva & Enrique F. Schisterman, 2008. "Maximum Likelihood Ratio Tests for Comparing the Discriminatory Ability of Biomarkers Subject to Limit of Detection," Biometrics, The International Biometric Society, vol. 64(3), pages 895-903, September.
    • Handle: RePEc:bla:biomet:v:64:y:2008:i:3:p:895-903
    DOI: 10.1111/j.1541-0420.2007.00941.x
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    References listed on IDEAS

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    1. Robert H. Lyles & Jovonne K. Williams & Rutt Chuachoowong, 2001. "Correlating Two Viral Load Assays with Known Detection Limits," Biometrics, The International Biometric Society, vol. 57(4), pages 1238-1244, December.
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    Cited by:

    1. Bochao Jia & Yuan-chin Ivan Chang & Zhanfeng Wang, 2016. "Assessing the diagnostic power of variables measured with a detection limit," Computational Statistics, Springer, vol. 31(4), pages 1287-1303, December.
    2. Jihnhee Yu & Albert Vexler & Lili Tian, 2010. "Analyzing Incomplete Data Subject to a Threshold using Empirical Likelihood Methods: An Application to a Pneumonia Risk Study in an ICU Setting," Biometrics, The International Biometric Society, vol. 66(1), pages 123-130, March.
    3. Ma, Hua & Bandos, Andriy I. & Gur, David, 2018. "Informativeness of diagnostic marker values and the impact of data grouping," Computational Statistics & Data Analysis, Elsevier, vol. 117(C), pages 76-89.

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