I am writing a systematic review and need to calculate the 95% confidence intervals of the ratio of means from whatever the clinical trials I'm reviewing give me.

The problem is: none of the studies actually report this information, and all I am given usually is the mean, standard deviation or standard error of the mean. As all studies are either sequential or crossover clinical trials, all data are paired.

I have found this calculator which uses a theorem I'm not familiar with called Fieller's theorem to work this out given the mean, SD or SEM, but apparently it only works for independent samples or non-paired data:

http://graphpad.com/quickcalcs/ErrorProp1.cfm

Does anyone in this community know of a way I can achieve this for paired data? I have read that you can do a paired t test of ratios but you need the raw data to take the log of all scores then the mean of these logs to get the geometric mean - but I only have what's published in the papers, i.e. mean, SD or SEM.

Thank you in advance for helping me with this - I'm desperate to get this finished!

Kind regards,

Shane