Hi all
I have reaction times (as a dependent variable), which I log-translate using the natural logarithm, to get it normally distributed. Then I run a regression on the log-translated data. I translated the values back using an exponential transformation.
My question - how do I account for the standard errors? Should I state their values after the transformation or not? Where can I find a relevant code?
Your suggestions and help are much appreciated. Thank you!
When reporting, you'd usually report the coefficients of the log-transformed data along with the relevant standard errors, before transforming back to exponential.
The transformation back would be used when predicting from a model, and for this you usually wouldn't use the standard error, you'd use confidence intervals to provide a level of accuracy. The confidence intervals would also be calculated from your model, and then exponentiated to provide an accurate interval.