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📚 Introduction to Modern Statistics - A college-level open-source textbook with a modern approach highlighting multivariable relationships and simulation-based inference.

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Introduction to Modern Statistics

THIS IS A WORK IN PROGRESS!!!

Where did Intoduction to Statistics with Randomization and Simulation go?

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.

What's planned for Introduction to Modern Statistics?

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 to effective data viz section

  • Exploring numerical data
  • Exploring categorical data
  • Effective data visualization
  • Case study
  • Chapter review

Complete, exercises need to be formatted

  • Fitting a line, residuals, and correlation
  • Least squares regression
  • Outliers in linear regression

In progress

  • Regression with multiple predictors
  • Model selection
  • Model diagnostics
  • Case study: Mario Kart
  • Logistic regression

Complete, exercises need to be formatted

  • Randomization tests
    • Case study: Gender discrimination
    • Case study: Opportunity cost
  • Bootstrap confidence intervals
  • Mathematical models

Complete, exercises need to be formatted

  • 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

Complete, exercises need to be formatted

  • 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

Appendix: Probability

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.

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