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Estimating Risks of Progressing to Aids When Covariates are Measured with Error

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  • J. Raboud
  • N. Reid
  • R. A. Coates
  • V. T. Farewell

Abstract

For some time, there has been interest in quantifying the risks of progressing to Aids from infection with the human immunodeficiency virus (HIV) associated with changes in the immunological markers. Until recently, little attention has been paid to the considerable variability of these markers and the corresponding effect on estimates of relative risk. We estimate the risks of progression to Aids associated with immunological markers among a group of homosexual men infected with HIV who have been followed at quarterly intervals for 5 years. Errors in measurement in the markers are shown to bias these estimates. Smoothing techniques are compared for their effectiveness in reducing the amount of variation in the markers and the subsequent bias in the coefficients. A simulation study compares the effectiveness of various methods of smoothing in reducing the bias of the estimated coefficient.

Suggested Citation

  • J. Raboud & N. Reid & R. A. Coates & V. T. Farewell, 1993. "Estimating Risks of Progressing to Aids When Covariates are Measured with Error," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 156(3), pages 393-406, May.
    • Handle: RePEc:bla:jorssa:v:156:y:1993:i:3:p:393-406
    DOI: 10.2307/2983065
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    Cited by:

    1. Richard J. Cook & Jerald F. Lawless & Bingfeng Xie, 2022. "Marker-dependent observation and carry-forward of internal covariates in Cox regression," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 28(4), pages 560-584, October.
    2. Jeevanantham Rajeswaran & Eugene H Blackstone & John Barnard, 2018. "Joint Modeling of Multivariate Longitudinal Data and Competing Risks Using Multiphase Sub-models," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 10(3), pages 651-685, December.

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