I have two sets of normalized expression data from a qPCR experiment. In order to perform my statistical analysis I've had to log transform the data from each set. I'd like to get a standard error associated with the mean of the log transformed set. Further, I'd like to back-transform (linearize) the data in order to get a meaningful fold-change (basically a ratio of the two means), along with an accompanying standard error.
This boils down to two questions:
How can I calculate a standard error for a back-transformed log mean? In other words, how can back-transform the standard error of a set of log-transformed values?
How can I incorporate the standard errors from two different back-transformed log means into a single standard error for the accompanying ratio of back-transformed log means?
I realize this might be a bit confusing, and I'm not sure where else to ask about it. Any help or pointers in the right direction would be greatly appreciated.