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Generalizing the standardized hazard ratio to multivariate proportional hazards regression, with an application to clinical~genomic studies

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  • Michael R. Crager

Abstract

The standardized hazard ratio for univariate proportional hazards regression is generalized as a scalar to multivariate proportional hazards regression. Estimators of the standardized log hazard ratio are developed, with corrections for bias and for regression to the mean in high-dimensional analyses. Tests of point and interval null hypotheses and confidence intervals are constructed. Cohort sampling study designs, commonly used in prospective--retrospective clinical genomic studies, are accommodated.

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  • Michael R. Crager, 2012. "Generalizing the standardized hazard ratio to multivariate proportional hazards regression, with an application to clinical~genomic studies," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(2), pages 399-417, May.
    • Handle: RePEc:taf:japsta:v:39:y:2012:i:2:p:399-417
    DOI: 10.1080/02664763.2011.594034
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    Cited by:

    1. Michael R. Crager, 2020. "Extensions of the absolute standardized hazard ratio and connections with measures of explained variation and variable importance," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 26(4), pages 872-892, October.

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