Statistical Inference

Preface

These notes are a personal reference related to my statistics work.

Repo for this quarto book: https://github.com/mpfoley73/statistics.

There are at least three approaches to establishing statistical inference: frequentist, likelihood, and Bayesian. Think of them philosophically. The frequentist approach is the path of action. It rejects a null hypothesis if the p-value is low because repeated sample analyses are likely to agree. The likelihood approach is the path of knowledge. It compares the observed summary measure to the likelihoods of the other possible realities. The Bayesian approach is the path of belief. It uses a summary measure to update the prior belief.