Principles of Statistical Analysis

This compact course is written for the mathematically literate reader who wants to learn to analyze data in a principled fashion. The language of mathematics enables clear exposition that can go quite deep quite quickly and naturally supports an axiomatic and inductive approach to data analysis. Starting with a good grounding in probability the reader moves to statistical inference via topics of great practical importance simulation and sampling as well as experimental design and data collection that are typically displaced from introductory accounts. The core of the book then covers both standard methods and such advanced topics as multiple testing meta-analysis and causal inference.