I am performing a meta-analysis where some data sets I would like to include are reported as not being normally distributed. My understanding is that non-normally distributed data should not be processed in continuous approaches to data analysis. As such, should studies that are non-normally distributed be excluded from the meta-analysis?
In an attempt to use only normally distributed data, where a data set has been described as non-normally distributed, I have been trying to gain access to the raw data making up that data set which I can then log-transform, and if the data is then normally distributed, including this data set in the meta-analysis. This leads me to another question: is combining raw data (which we know is normally distributed) with log-transformed data (which has been normalised) a robust methodological approach in meta-analysis?