Skip to main page content
U.S. flag

An official website of the United States government

Dot gov

The .gov means it’s official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.

Https

The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation
. 2019 Jun;75(2):414-427.
doi: 10.1111/biom.13012. Epub 2019 Apr 13.

A modified partial likelihood score method for Cox regression with covariate error under the internal validation design

David M Zucker  1 , Xin Zhou  2 , Xiaomei Liao  3 , Yi Li  4 , Donna Spiegelman  5   6
Affiliations

A modified partial likelihood score method for Cox regression with covariate error under the internal validation design

David M Zucker et al. Biometrics. 2019 Jun.

Abstract

We develop a new method for covariate error correction in the Cox survival regression model, given a modest sample of internal validation data. Unlike most previous methods for this setting, our method can handle covariate error of arbitrary form. Asymptotic properties of the estimator are derived. In a simulation study, the method was found to perform very well in terms of bias reduction and confidence interval coverage. The method is applied to data from the Health Professionals Follow-Up Study (HPFS) on the effect of diet on incidence of Type II diabetes.

Keywords: Cox model; measurement error; modified score.

PubMed Disclaimer

References

    1. Andersen PK, and Gill RD (1982). Cox’s regression model for counting processes: a large sample study, Annals of Statistics 10: 1100–1120.
    1. Breslow N and Day NE (1993). Statistical Methods in Cancer Research Vol. II: The Design and Analysis of Cohort Studies. Oxford, England: Oxford University Press. - PubMed
    1. Carroll RJ, Ruppert D, Stefanski LA, and Crainiceanu CM (2006) Measurement Error in Nonlinear Models: A Modern Perspective, 2nd ed Boca Raton: Chapman and Hall / CRC.
    1. Chen YH (2002). Cox regression in cohort studies with validation sampling. Journal of the Royal Statistical Society, Series B 64:51–62.
    1. Cox DR (1972). Regression models and life tables (with discussion). Journal of the Royal Statistical Society, Series B 34:187–200.