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Estimating the parameters in the Cox model when covariate variables are measured with error.

Publication ,  Journal Article
Hu, P; Tsiatis, AA; Davidian, M
Published in: Biometrics
December 1998

The Cox proportional hazards model is commonly used to model survival data as a function of covariates. Because of the measuring mechanism or the nature of the environment, covariates are often measured with error and are not directly observable. A naive approach is to use the observed values of the covariates in the Cox model, which usually produces biased estimates of the true association of interest. An alternative strategy is to take into account the error in measurement, which may be carried out for the Cox model in a number of ways. We examine several such approaches and compare and contrast them through several simulation studies. We introduce a likelihood-based approach, which we refer to as the semiparametric method, and show that this method is an appealing alternative. The methods are applied to analyze the relationship between survival and CD4 count in patients with AIDS.

Duke Scholars

Published In

Biometrics

ISSN

0006-341X

Publication Date

December 1998

Volume

54

Issue

4

Start / End Page

1407 / 1419

Location

England

Related Subject Headings

  • Survival Analysis
  • Statistics & Probability
  • Proportional Hazards Models
  • Monte Carlo Method
  • Likelihood Functions
  • Humans
  • CD4 Lymphocyte Count
  • Biometry
  • Anti-HIV Agents
  • Acquired Immunodeficiency Syndrome
 

Citation

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MLA
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Hu, P., Tsiatis, A. A., & Davidian, M. (1998). Estimating the parameters in the Cox model when covariate variables are measured with error. Biometrics, 54(4), 1407–1419.
Hu, P., A. A. Tsiatis, and M. Davidian. “Estimating the parameters in the Cox model when covariate variables are measured with error.Biometrics 54, no. 4 (December 1998): 1407–19.
Hu P, Tsiatis AA, Davidian M. Estimating the parameters in the Cox model when covariate variables are measured with error. Biometrics. 1998 Dec;54(4):1407–19.
Hu, P., et al. “Estimating the parameters in the Cox model when covariate variables are measured with error.Biometrics, vol. 54, no. 4, Dec. 1998, pp. 1407–19.
Hu P, Tsiatis AA, Davidian M. Estimating the parameters in the Cox model when covariate variables are measured with error. Biometrics. 1998 Dec;54(4):1407–1419.
Journal cover image

Published In

Biometrics

ISSN

0006-341X

Publication Date

December 1998

Volume

54

Issue

4

Start / End Page

1407 / 1419

Location

England

Related Subject Headings

  • Survival Analysis
  • Statistics & Probability
  • Proportional Hazards Models
  • Monte Carlo Method
  • Likelihood Functions
  • Humans
  • CD4 Lymphocyte Count
  • Biometry
  • Anti-HIV Agents
  • Acquired Immunodeficiency Syndrome