What question did this study set out to answer?

To derive a flexible mathematical framework for generating survival times under Cox proportional hazards models for statistical simulation studies.

February 22, 2005Statistics in MedicineOpen Access

Generating survival times to simulate Cox proportional hazards models

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Authors

RBRalf BenderUniversity of Cologne TAThomas AugustinHelmholtz Center for Information Security MBMaria BlettnerJohannes Gutenberg University Mainz

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Implication

Methodological study demonstrates survival time generation methods in simulated patient cohorts, highlighting the necessity of flexible baseline hazard modeling.

Key Points

To derive a flexible mathematical framework for generating survival times under Cox proportional hazards models for statistical simulation studies.
Derived a general formula describing the relationship between hazard rates and survival times in proportional hazards models.
Implemented survival time generation using exponential, Weibull, and Gompertz distributions to accommodate flexibly parameterized baseline hazards.
Applied the simulation techniques to evaluate the impact of covariate measurement errors using data inspired by the German Uranium Miners Cohort Study.
Demonstrated that generating survival times through closed-form equations enables the use of flexible baseline distributions beyond the standard exponential distribution.
Showed that utilizing alternative distributions is essential for assessing model properties in non-standard scenarios where the partial likelihood depends on the baseline hazard.
Illustrated that failure to carefully model baseline hazard shapes distorts the assessment of measurement error effects in cohort analyses.

Cite This Study

Bender et al. (2005) studied this question.

synapsesocial.com/papers/6a0cf1e97e512f50ffcc8e57 https://doi.org/10.1002/sim.2059

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Implication

Methodological study demonstrates survival time generation methods in simulated patient cohorts, highlighting the necessity of flexible baseline hazard modeling.

Generating survival times to simulate Cox proportional hazards models

Discussion

Member takes

Implication

Key Points

Cite This Study

Generating survival times to simulate Cox proportional hazards models

Discussion

Member takes

Implication

Key Points

Cite This Study

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