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Free Book: Introduction to Statistics

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Article originally posted on Data Science Central. Visit Data Science Central

Online Statistics Education: A Multimedia Course of Study.  Project Leader: David M. Lane, Rice University.


  • Introduction
  • Graphing Distributions
  • Summarizing Distributions
  • Describing Bivariate Data
  • Probability
  • Research Design
  • Normal Distributions
  • Advanced Graphs
  • Sampling Distributions
  • Estimation
  • Logic of Hypothesis Testing
  • Testing Means
  • Power
  • Regression
  • Transformations
  • Chi Square
  • Distribution Free Tests
  • Effect Size
  • Case Studies
  • Calculators
  • Glossary

Guess what the correlation is: see here

The (free) PDF version (660 pages) is available here.The online book also features various calculators (Gaussian distributions etc.) as well as the following simulations:

  • Introduction: Sampling, Measurement
  • Graphing Distributions: Box Plot
  • Summarizing Distributions: Balance Scale, Absolute Difference, Squared Differences, Mean and Median,Variability Demo, Estimating Variance , Comparing Distributions
  • Describing Bivariate Data: Guessing Correlations, Restriction of Range
  • Probability: Conditional Probability, Gamblers Fallacy, Birthday, Binomial, Bayes’ Theorem, Monty Hall Problem
  • Normal Distributions: Varieties of Normal Distributions, Normal Approximation
  • Sampling Distributions: Basic Demo, Sample Size Demo, Sampling Distributions, Central Limit Theorem
  • Estimation: Confidence Interval
  • Logic of Hypothesis Testing (none): Testing Means, t Distribution, Robustness , Correlated t Test
  • Power: Power 1, Power 2
  • Prediction: Linear Fit
    ANOVA: One-Way, Power of Within-Subjects Designs
  • Chi Square: 2 x 2 Table,  Testing Distributions

This resource is accessible here.

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