When studying regression models, One of the first diagnostic plots most students learn is to plot residuals versus the model’s predictions (that is, with the predictions on the x-axis). Here’s a basic example. # build an “ideal” linear process. set.seed(34524) N = 100 x1 = runif(N) x2 = runif(N) noise = 0.25*rnorm(N) y = x1 … Continue reading Why Do We Plot Predictions on the x-axis?
Category: Statistics as it should be
How to de-Bias Standard Deviation Estimates
This note is about attempting to remove the bias brought in by using sample standard deviation estimates to estimate an unknown true standard deviation of a population. We establish there is a bias, concentrate on why it is not important to remove it for reasonable sized samples, and (despite that) give a very complete bias … Continue reading How to de-Bias Standard Deviation Estimates