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  • Precision calculations for a hazard ratio

    I am planning to repeat a published analysis using a larger sample. I wish to estimate the impact of my better sample size on the precision of my estimate of a hazard ratio.

    I can do this for a rate ratio, on the assumption that the point estimate will be similar and that the number of events will scale with the sample size

    SE of log(rate ratio) = √ ( 1 / events in exposed + 1 / events in unexposed)

    EF = exp[1.96 x SE of log(rate ratio)]

    95% confidence interval = [rate ratio / EF] to [rate ratio * EF]
    However, all of these studies report hazard ratios rather than rate ratios, which is what I plan to report too. Is there straight forward way to calculate how precision of a hazard ratio would scale with sample size. Is there a STATA command that will estimate this? I can't see that ciwidth or ciwidth_proportions_mcwill do this, though I may be wrong?

    Thanks,
    Tom
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