Epizyme, Inc.
Question
Asked 31st Aug, 2018
How to calculate Standard Error provided Hazard Ratio and Confidence Interval (Upper limit and lower limit at 95%)?
I have Hazard Ratio and 95% CI, I tried to get standard error using Comprehensive meta analysis tool, the log value given in the tool seems misleading. Is there a manual way to calculate Standard error using Hazard ratio and 95% CI?
Most recent answer
SE of logHR=sqrt(4/E) where E is the total event size; or sqrt(1/E1+1/E2) where E1 and E2 are the events for two arms respectively
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Popular answers (1)
Georgia State University
The only relevant standard error is that of the log of the hazard ratio. You will note that the 95% confidence interval is not symmetrical about the hazard ratio estimate. You can't calculate a standard error from that.
Meta-analyses of all ratio measures (e.g., risk ratio, odds ratio, response ratio) are run on the log of that measure. The standard error is thus calculated on the log value of that measure, The 95% CI of the log value is then calculated and then back-transformed to a non-log 95% CI.
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All Answers (4)
Georgia State University
The only relevant standard error is that of the log of the hazard ratio. You will note that the 95% confidence interval is not symmetrical about the hazard ratio estimate. You can't calculate a standard error from that.
Meta-analyses of all ratio measures (e.g., risk ratio, odds ratio, response ratio) are run on the log of that measure. The standard error is thus calculated on the log value of that measure, The 95% CI of the log value is then calculated and then back-transformed to a non-log 95% CI.
3 Recommendations
Manipal Academy of Higher Education
Gordon L Warren Thanks for the insights, we will go with the study with symmetric confidence intervals. Sen Wang Thanks for the answer.
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