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Biometrics. 2018 Dec 7. doi: 10.1111/biom.13012. [Epub ahead of print]

A Modified Partial Likelihood Score Method for Cox Regression with Covariate Error Under the Internal Validation Design.

Author information

1
Department of Statistics and Data Science, The Hebrew University of Jerusalem, Mount Scopus, Jerusalem 91905, Israel.
2
Department of Biostatistics, Harvard T.H. Chan School of Public Health, 677 Huntington Avenue, Boston, MA 02115, USA.
3
Department of Biostatistics, University of Michigan School of Public Health, 1415 Washington Heights, Ann Arbor, MI 48109-2029, USA.
4
Department of Biostatistics, Yale School of Public Health and Department of Statistics, Yale University, New Haven, CT 06520, USA.
5
Departments of Epidemiology, Biostatistics, Nutrition and Global Health, Harvard T.H. Chan School of Public Health, Boston, MA 02115, USA.

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 Health Professionals Follow-Up Study (HPFS) on the effect of diet on incidence of Type II diabetes. This article is protected by copyright. All rights reserved.

KEYWORDS:

Cox model; Measurement error; modified score

PMID:
30525191
DOI:
10.1111/biom.13012

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