I would like to transform non-normal distribution to normal distribution, and back-transform to its original state (or at least close to the original state).
From this article, I've read that you can transform the distribution in to normal distribution by using Box-Cox method.
Question 1: How do I choose lambda parameter for Box-Cox function? In the article, it seemed that the author chose lambda parameter that minimizes standard deviation of the transformed data.
Question 2: How do I know if the transformed data is a good fit of the actual data? What should I do if its not?
Question 3: How do I back-transformed data into its original shape? I understand that there will be distortion within the back-transformed data.