| Review: |
Introductory statistics course are usually taught from a frequentist perspective, introducing Bayesian statistics later. William Bolstad, in his quest to introduce students to Bayesian theorem early on, introduces Bayesian methods using a step-by-step development from conditional probability. Bayesian theorem allows statisticians to revise their belief about a parameter, given the data that occurred. There must be an initial prior belief. The prior distribution gives the relative belief weights for the possible values of the parameters. This book discusses in detail: how to gather scientific data; the rules of probability; discrete and continuous random variables; Bayesian inferences for means and proportions; the simple linear regression model from a Bayesian perspective. Exercises are provided (with selected answers). |