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This research examines the bias and effectiveness of two hazard ratio estimators derived from the logrank test.

A comparison of two simple hazard ratio estimators based on the logrank test

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This research examines the bias and effectiveness of two hazard ratio estimators derived from the logrank test.
Conducted a simulation study comparing the Pike and Peto hazard ratio estimators.
Assessed bias and coverage of confidence intervals at various hazard ratio levels.
Evaluated variance recalculation methods to improve coverage.
The Pike estimator consistently shows less bias than the Peto estimator, especially for hazard ratios under 3.
Both estimators exhibited increasing bias with higher hazard ratios.
Pike estimator yields better confidence interval coverage compared to Peto, but recalculation can improve estimates.

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Simulation study compares two estimators for hazard ratios, revealing bias differences and coverage issues.

Sato et al. (1992) studied this question.

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