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Covariate Measurement Error Adjustment for Matched Case–Control Studies

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  • Lisa M. McShane
  • Douglas N. Midthune
  • Joanne F. Dorgan
  • Laurence S. Freedman
  • Raymond J. Carroll

Abstract

Summary. We propose a conditional scores procedure for obtaining bias‐corrected estimates of log odds ratios from matched case‐control data in which one or more covariates are subject to measurement error. The approach involves conditioning on sufficient statistics for the unobservable true covariates that are treated as fixed unknown parameters. For the case of Gaussian nondifferential measurement error, we derive a set of unbiased score equations that can then be solved to estimate the log odds ratio parameters of interest. The procedure successfully removes the bias in naive estimates, and standard error estimates are obtained by resampling methods. We present an example of the procedure applied to data from a matched case–control study of prostate cancer and serum hormone levels, and we compare its performance to that of regression calibration procedures.

Suggested Citation

  • Lisa M. McShane & Douglas N. Midthune & Joanne F. Dorgan & Laurence S. Freedman & Raymond J. Carroll, 2001. "Covariate Measurement Error Adjustment for Matched Case–Control Studies," Biometrics, The International Biometric Society, vol. 57(1), pages 62-73, March.
    • Handle: RePEc:bla:biomet:v:57:y:2001:i:1:p:62-73
    DOI: 10.1111/j.0006-341X.2001.00062.x
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    Cited by:

    1. Nels G. Johnson & Inyoung Kim, 2019. "Semiparametric approaches for matched case–control studies with error-in-covariates," Computational Statistics, Springer, vol. 34(4), pages 1675-1692, December.
    2. Brent A. Coull & Seokho Lee & Glen McGee & Justin Manjourides & Murray A. Mittleman & Gregory A. Wellenius, 2020. "Corrections for measurement error due to delayed onset of illness for case‐crossover designs," Biometrics, The International Biometric Society, vol. 76(3), pages 963-972, September.
    3. Sinha, Samiran & Yoo, Seungyoon, 2013. "Score tests in the presence of errors in covariates in matched case-control studies," Journal of Multivariate Analysis, Elsevier, vol. 115(C), pages 157-171.

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