Introduction I have seen a lot of tweets on my feed about power and effect size. I wanted to think about those things carefully, so I did some reading and am writing down some thoughts. An interesting paper that I read on this is here The takeaway is that studies ...

Introduction I was reading about different ways to sample from distributions, and one that caught my eye was based on copulas. There is an answer here, but there seemed to be enough details left to the reader that I wanted to just do it. One variable example To start, let’...

Introduction In this post, we study a seemingly easy question; what is a 95% prediction interval in simple linear regression? We assume that our data comes from \[ y_i = 1 + 2x_i + \epsilon_i \] where \(\epsilon_i\) are iid normal with mean 0 and standard deviation 3. R Code for Prediction We can build ...