Principles of statistical analysis : learning from randomized experiments /
Ery Arias-Castro, University of California, San Diego.
- 1 online resource (xvii, 389 pages) : digital, PDF file(s).
- Institute of Mathematical Statistics textbooks ; 15 .
- Institute of Mathematical Statistics textbooks ; 15. .
Title from publisher's bibliographic system (viewed on 27 Jul 2022).
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.