THIS IS A WORK IN PROGRESS!!!
As we're working on the 2nd edition of this book, we realized that we weren't too enamoured by the name, and decided to rename the book to "Introduction to Modern Statistics" to better reflect the content covered in the book, which features simulation-based inference but also many non-inference topics!
If you're looking for the source files for the 1st edition of OpenIntro - Introduction to Statistics with Randomization and Simulation, please download the zipped release here.
Some restructuring, some reordering, and some new content with better treatment of randomization and simulation throughout the book.
Each section comes with exercises as well as chapter level exercises in the last (review) section of each chapter. The review section also includes interactive R tutorials and labs.
Tentative outline:
Complete
- Case study
- Data basics
- Sampling principles and strategies
- Experiments
- Chapter review
Exercises to be added in
- Exploring numerical data
- Exploring categorical data
- Case study
- Chapter review
Awaiting completion
- Visual summaries of data: scatterplot, side-by-side boxplots, histogram, density plot, box plot (lead out with multivariate, follow with univariate)
- Describing distributions: correlation, central tendency, variability, skew, modality
- Num vs. num - SLR
- correlation
- Line fitting, residuals, and correlation
- Fitting a line by least squares regression
- Types of outliers in linear regression
In progress
- Num vs. whatever - MLR
- Introduction to multiple regression
- Parallel slopes
- Hint at interaction, planes, and parallel planes but not quantify
- Visualization of higher-dimensional models (rgl demo)
- Logistic regression
- Binary vs. num/whatever
- Three scales interpretation (e.g. probability, odds, log-odds)
- “parallel” logistic curves?
Complete
- Randomization tests
- Case study: Gender discrimination
- Case study: Opportunity cost
- Bootstrap confidence intervals
- Mathematical models
Complete
- One proportion
- Bootstrap test
- Bootstrap confidence interval
- Mathematical model
- Difference of two proportions
- Randomization test
- Bootstrap confidence interval
- Mathematical model
- Independence in two way tables
- Randomization test
- Bootstrap confidence interval
- Mathematical model
In progress
- One mean
- Bootstrap confidence interval
- Mathematical model
- Difference of two means
- Randomization test
- Bootstrap confidence interval
- Mathematical model
- Paired differences
- Randomization test
- Bootstrap confidence interval
- Mathematical model
- Comparing many means
- Randomization test
- Mathematical model
In progress
- Inference for linear regression
- Randomization test
- Bootstrap confidence interval
- Mathematical model
- Checking model assumptions
- Inference for multiple regression
- Inference for logistic regression
The Probability appendix is not yet available for this book. If you would like to learn about probability, we recommend you refer to OpenIntro Statistics, 4th Edition.
Please note that this project is released with a Contributor Code of Conduct. By participating in this project you agree to abide by its terms.