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

Jay Yang
Epizyme, Inc.
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
1 Recommendation

Popular answers (1)

Gordon L Warren
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

All Answers (4)

Gordon L Warren
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
Sen Wang
Jinan University (Guangzhou, China)
In some meta-analysis , the seln(HR)=[ln(ul)-ln(ll)]/(1.96*2) would be usesd.
2 Recommendations
Pradyumna Jayaram
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.
Jay Yang
Epizyme, Inc.
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
1 Recommendation

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How do I perform meta-analysis of single arm studies?
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  • Victor EjigahVictor Ejigah
I tried performing a meta-analysis of single arm studies (i.e without controls) using openMeta-analyst which allowed me to combine the effect estimate in form of proportions. Different organ transplants with similar endpoint were included from various studies. I was able to obtain
1) the overall estimate of all organs
2) perform sub-group analysis to find the estimate for specific organs, timing of treatment(<7days and >7 days), study design and availability of insurance cover or not
3) Did meta-regression to assess impact of covariates like timing of treatment
My PI wants a direct comparison of the point estimates from the subgroups already meta-analyzed. Is this a good practice and how can I do this without controls? I thought of using one organ say heart as the intervention and liver as control and then including by the number of events/total number of subjects for studies that provided data. For the corresponding control or intervention without values (since this direct comparison was not done in individual studies), I used zero and then corrected with 0.5 automatically which the software handles pretty well. Is this an ideal way to go in order to obtain the RR or OR across different sub-groups?
Please see below a schema of what I did:
Study organ 1 organ 2
A 0/0 6/20
B 0/0 4/9
C 0/0 8/23
D 6/21 0/0
E 34/45 0/0
F 12/50 0/0
ABC don't have information on organ 1 while DEF don't have info on organ 2. I am hoping this set up can help me unravel the difference between organs for a specific outcome measured.
I would appreciate your urgent response.

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