1. What This Site Is

statisticstextbook.com is a free, page-by-page statistics textbook. You can read it in order like a print book, or use it as a reference when you need help with a topic.

Most students do best by moving from the foundations (data, variability, probability) into core tests (t-tests and ANOVA), and then into modern topics (resampling, big data, and an introduction to machine learning).

2. How to Use This Textbook

1. Start with the first lesson.
   • Lesson 1: What Is Statistics? Why Does It Matter?
2. Follow the Next / Previous links. Each lesson ends with navigation links so you can keep the correct order without guessing what comes next.
3. Keep a small “definitions” page in your notes. Write down the meaning of key terms (mean, variance, standard deviation, probability, distribution) as you encounter them.
4. For each test, practice three skills. (1) what the question is, (2) the computation, (3) the interpretation in words.
5. Use the review pages when you get stuck.
   • Appendix 2 — Math Review for Statistics
   • Lesson 4 — The Standard Normal Curve

3. Reading the Math

Formulas are displayed with MathJax so they stay clear on different screens. If a formula looks unfamiliar, read it slowly and connect each symbol to a meaning in words.

4. Why This Format Helps

• Clear sequence: lessons build from basic ideas to core tests.
• Readable math: formulas render cleanly across devices.
• Study-friendly: minimal distractions and no sign-in required.
• Open access: free to use for learning and review.

5. Summary

Use the textbook in order if you are learning statistics for the first time, and use it as a reference when you need a quick explanation or a worked example. If you study steadily and keep your own notes of definitions and interpretations, the material becomes much easier over time.