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Estimation of a failure time distribution based on imperfect diagnostic tests

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  • R. Balasubramanian

Abstract

Sequentially-administered diagnostic tests used to determine the occurrence of a silent event are sometimes subject to error, leading to false positive and false negative test results. In such cases, standard methods for interval censored data do not give valid estimates of the distribution of the time to the event. We present methods for estimating the distribution of the time to the event that account for multiple types of imperfect diagnostic test, as well as differing periods at risk. We illustrate the methods with simulated data and results from a clinical trial for the prevention of mother-to-infant transmission of HIV in Tanzania. Copyright Biometrika Trust 2003, Oxford University Press.

Suggested Citation

  • R. Balasubramanian, 2003. "Estimation of a failure time distribution based on imperfect diagnostic tests," Biometrika, Biometrika Trust, vol. 90(1), pages 171-182, March.
    • Handle: RePEc:oup:biomet:v:90:y:2003:i:1:p:171-182
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    Cited by:

    1. Yi Xiong & W. John Braun & X. Joan Hu, 2021. "Estimating duration distribution aided by auxiliary longitudinal measures in presence of missing time origin," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 27(3), pages 388-412, July.
    2. N. Gupte & R. Brookmeyer & R. Bollinger & G. Gray, 2007. "Modeling Maternal–Infant HIV Transmission in the Presence of Breastfeeding with an Imperfect Test," Biometrics, The International Biometric Society, vol. 63(4), pages 1189-1197, December.
    3. Yu Shen & Xuelin Huang, 2005. "Nonparametric Estimation of Asymptomatic Duration from a Randomized Prospective Cancer Screening Trial," Biometrics, The International Biometric Society, vol. 61(4), pages 992-999, December.
    4. Raji Balasubramanian & Stephen W. Lagakos, 2004. "Analyzing Time-to-Event Data in a Clinical Trial When an Unknown Proportion of Subjects Has Experienced the Event at Entry," Biometrics, The International Biometric Society, vol. 60(2), pages 335-343, June.
    5. Elizabeth R. Brown, 2010. "Bayesian Estimation of the Time-Varying Sensitivity of a Diagnostic Test with Application to Mother-to-Child Transmission of HIV," Biometrics, The International Biometric Society, vol. 66(4), pages 1266-1274, December.

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