Bayesian Inferential Statistics Implemented in R

Abstract

Conventional frequentist statistics taught in undergraduate courses are obviously better than nothing, yet suffer from systematic failures that allow for easy p-hacking and consistent over-estimation of significance and effect sizes. Use of frequentist statistics is the strongest factor contributing to the replication crisis in the social sciences. Bayesian statistics, by contrast, have numerous advantages and can be tailored to any possible inferential problem. Many researchers and academics have advocated for Bayesianism, but only relatively recently have advances in computer technology allowed certain statistical methods to become practical.