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A Corrected Pseudo-score Approach for Additive Hazards Model With Longitudinal Covariates Measured With Error

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  • Xiao Song

    (University of Washington)

  • Yijian Huang

    (Division of Public Health Sciences, Fred Hutchinson Cancer Research Center)

Abstract

In medical studies, it is often of interest to characterize the relationship between a time-to-event and covariates, not only time-independent but also time-dependent. Time-dependent covariates are generally measured intermittently and with error. Recent interests focus on the proportional hazards framework, with longitudinal data jointly modeled through a mixed effects model. However, approaches under this framework depend on the normality assumption of the error, and might encounter intractable numerical difficulties in practice. This motivates us to consider an alternative framework, that is, the additive hazards model, under which little has been done when time-dependent covariates are measured with error. We propose a simple corrected pseudo-score approach for the regression parameters with no assumptions on the distribution of the random effects and the error beyond those for the variance structure of the latter. The estimator has an explicit form and is shown to be consistent and asymptotically normal. We illustrate the method via simulations and by application to data from an HIV clinical trial.

Suggested Citation

  • Xiao Song & Yijian Huang, 2004. "A Corrected Pseudo-score Approach for Additive Hazards Model With Longitudinal Covariates Measured With Error," UW Biostatistics Working Paper Series 1049, Berkeley Electronic Press.
    • Handle: RePEc:bep:uwabio:1049
    Note: oai:bepress.com:uwbiostat-1049
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    References listed on IDEAS

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    1. Jane Xu & Scott L. Zeger, 2001. "Joint analysis of longitudinal data comprising repeated measures and times to events," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 50(3), pages 375-387.
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    Cited by:

    1. Xiao Song & Yijian Huang, 2005. "On Corrected Score Approach for Proportional Hazards Model with Covariate Measurement Error," Biometrics, The International Biometric Society, vol. 61(3), pages 702-714, September.

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