I am a statistician and doing some data analysis in cognitive sciences. I noticed that the distribution of response time (RT) is chisq-squared-like, and I want to do Box-cox transformation to make it look normal distributed. Because before I did not think much for this transform, my question is:
- Does a box-cox transformation need to be applied to response times?
- If so, what do the results mean?
- For t-test, ANOVA and other tests, will the result be valid for the original response time data?
- If not, should we transform the data since analysis of these data is based on the normality hypothesis?