Introduction to Modern Statistics

Mine Çetinkaya-Rundel and Johanna Hardin

Digital versions PDF and HTML (online)
Source available     Yes, on GitHub
Exercises Yes
Solutions Odd numbered problems
Solution Manual Available to verified teachers
License Creative Commons Attribution-ShareAlike 3.0

This book is another excellent open source text from the OpenIntro group and is based on OpenIntro Statistics and Introduction to Statistics with Randomization and Simulation by Diez, Barr, and Çetinkaya-Rundel. It strongly emphasizes exploratory data analysis and simulation-based inference with randomization and bootstrapping.

In addition to the exercises at the end of each section and chapter, there are examples and “Guided Practice Questions” for the reader to do with answers to give immediate feedback.

There are 27 chapters grouped into six sections.

  • Part 1: Introduction to data. Data structures, variables, summaries, graphics, and basic data collection and study design techniques.
  • Part 2: Exploratory data analysis. Data visualization and summarisation, with particular emphasis on multivariable relationships.
  • Part 3: Regression modeling. Modeling numerical and categorical outcomes with linear and logistic regression and using model results to describe relationships and made predictions.
  • Part 4: Foundations for inference. Case studies are used to introduce the ideas of statistical inference with randomization tests, bootstrap intervals, and mathematical models.
  • Part 5: Statistical inference. Further details of statistical inference using randomization tests, bootstrap intervals, and mathematical models for numerical and categorical data.
  • Part 6: Inferential modeling. Extending inference techniques presented thus-far to linear and logistic regression settings and evaluating model performance.