Thanks to John C. Pezzullo for the original compilation of this information.

Contents of This Page:

• General TextBooks

• Books Related to Specific Software Packages

• Reference Compendia and Glossaries

• Online Journals

• Automatic Comparison Shopping Service

General TextBooks:

• HyperStat Statistics Textbook -- a very well-designed and well-constructed "hyper-text-book". Contents:
  1. Introduction
  2. Describing Univariate Data
  3. Describing Bivariate Data
  4. Introduction to Probability
  5. Normal Distribution
  6. Sampling Distributions
  7. Point Estimation
  8. Confidence Intervals
  9. The Logic of Hypothesis Testing
  10. Testing Hypotheses with Standard Errors
  11. Power
  12. Introduction to Between-Subjects ANOVA
  13. Factorial Between-Subjects ANOVA
  14. Within-Subjects ANOVA
  15. Prediction
  16. Chi Square
  17. Distribution-Free Tests
  18. Measuring Effect Size
• Statistics at Square One -- An excellent online textbook. Contents:
  1. Data display and summary
  2. Mean and standard deviation
  3. Populations and samples
  4. Statements of probability and confidence intervals
  5. Differences between means: type I and type II errors and power
  6. Differences between percentages and paired alternatives
  7. The t tests
  8. The chi-squared tests
  9. Exact probability test
  10. Rank score tests
  11. Correlation and regression
  12. Survival analysis
  13. Study design and choosing a statistical test
• Concepts and Applications of Inferential Statistics -- This online introductory statistics text is a companion site of VassarStats: Web Site for Statistical Computation.
  1. Principles of Measurement
  2. Distributions
  3. Introduction to Correlation & Regression
     • Partial Correlation
     • Rank-Order Correlation
  4. A First Glance at the Question of Statistical Significance
     • Sampling Distributions of r
     • Test for the Significance of r
  5. Basic Concepts of Probability
     • Exact Binomial Probability Calculator
  6. Introduction to Probability Sampling Distributions
     • Binomial Sampling Distribution Generator
     • z to P Calculator
  7. Tests of Statistical Significance: Three Overarching Concepts
  8. Chi-Square Procedures for the Analysis of Categorical Frequency Data
     • Chi-Square Sampling Distribution Generator
     • The Fisher Exact Probability Test
  9. Introduction to Procedures Involving Sample Means
     • Sampling Distributions of t
  10. t-Procedures for Estimating the Mean of a Population
  11. t-Test for Two Independent Samples
      • Non-Parametric Alternative: The Mann-Whitney Test
  12. t-Test for Two Correlated Samples
      • Non-Parametric Alternative: The Wilcoxon Signed-Rank Test
  13. Conceptual Introduction to the Analysis of Variance
      • Sampling Distributions of F
  14. One-Way Analysis of Variance for Independent Samples
      • Non-Parametric Alternative: The Kruskal-Wallis Test
  15. One-Way Analysis of Variance for Correlated Samples
      • Non-Parametric Alternative: The Friedman Test
  16. Two-Way Analysis of Variance for Independent Samples
  17. One-Way Analysis of Covariance for Independent Samples
• NIST/SEMATECH Engineering Statistics Handbook -- an extensive web-based handbook of engineering-oriented statistical techniques. Closely integrated with Dataplot and other statistical software packages.
• Resampling: The New Statistics, by Julian L. Simon. An introduction to probability and inference from a resampling (simulation) perspective. Covers probability, hypothesis testing, confidence intervals and sample size calculations and is an excellent introduction to simulation, bootstrap methods (sampling with replacement from the observed data to assess variability of a sample statistic), and permutation tests (comparison of observed differences between samples to differences obtained by randomly shuffling the samples together and re-dividing them).
• Statistics Every Writer Should Know -- an excellent introduction to statistical concepts, presented in a clear and non-intimidating way. Topics include: mean, median, percent changes, per capita and rates, standard deviation and normal distribution, margin of error, confidence intervals and sample sizes. Site includes a set of frequently asked questions, and a Statistics Bulletin board -- Post your question about statistics, or help someone else by posting an answer to his or her problem. Also links to its sister site: Finding Data on the Internet
• Introductory Statistics: Concepts, Models, and Applications, and Multivariate Statistics: Concepts, Models, and Applications, by David W. Stockburger (Southwest Missouri State University). In-depth coverage, with extensive use of web technology (animated graphics, interactive calculating pages).
• The Knowledge Base -- An Online Research Methods Textbook, by William M.K. Trochim (Cornell University). An online textbook for an introductory course in research methods.
• The Data Analysis BriefBook -- a condensed handbook, or an extended glossary, written in encyclopedic format, covering subjects in statistics, computing, analysis, and related fields; meant to be both introduction and reference for data analysts, scientists and engineers (from CERN)
• Stat Refresher Tutorial
• The statistics of performance measurement, aimed at parents of children with special educational needs, but also worthwhile for anyone who wants a good introductory presentation of basic statistical concepts.
• Guide to Basic Laboratory Statistics (Java)
• Statistics: The Study of Stability in Variation
• Introduction to Probability, by Grinstead and Snell (a complete book, in Adobe Acrobat and Postscript format, that can be downloaded all at once, or chapter by chapter)
• Basic Principles of Statistical Analysis
• Seeing Statistics by Gary McClelland -- an online textbook containing many animated (Java) demonstrations. A tour, and part of the complete book, is available free.
• SurfStat Australia
• WebStat, by Glyn Davis

Books Related to Specific Software Packages:

• SPSS for Beginners -- a downloadable book (in MS Word format) by Vijay Gupta. An excellent source for learning all procedures in SPSS. The chapters are organized in a manner that conforms to the requirements of the typical statistical project. Everything is taught in a step-by-step manner using screen shots, simple English explanations (a minimization of statistical jargon) and pithy interpretations of results. About half of the book is downloadable for free.
• Data Analysis with Epi Info -- an online textbook by Bud Gerstman. Describes analyses for continuous or binary outcomes; single group, paired samples, or two or more independent groups; one or more continuous predictors; stratified tables (with confounding and interaction); and much more.
• Excel for Professionals -- a free downloadable book (in MS Word format) by Vijay Gupta. Describes using Excel for data manipulation, statistics, constrained optimization. Especially useful for those who need to conduct statistical analysis, optimization problems, use add-ins and work with source data form enterprise-wide data bases.
• Curvefit.com -- a complete guide to nonlinear regression. Most of the information here is excerpted from Analyzing Data with GraphPad Prism, a book that accompanies the program GraphPad Prism. You can download this book as a pdf file.
• Graphpad web site of statistical resources -- short articles, book chapters, bibliographies, and (commercial) software. Well-written, down-to-earth, and helpful.
• The Instat Guide to Choosing and Interpreting Statistical Tests, from Graphpad.
• Electronic Statistics Textbook (by StatSoft) -- very extensive and well-organized (can also be downloaded for quicker access from your hard drive)

Reference Compendia and Glossaries:

• Glossary of statistical terms used in evidence-based medicine
• Glossary of over 30 statistical terms; explanations vary from short definitions to extensive explanations, with graphics and hyperlinks
• A very impressive Compendium of over 50 probability distribution functions, giving the formula, expressions for the mean, SD, percentiles, higher moments, random variable generation procedures (if available), and insight into where that type of distribution function arises. In Adobe PDF format.

Online Journals:

• Journal of Statistics Education, a refereed electronic journal on postsecondary teaching of statistics
• InterStat (Statistics on the Internet) -- an online journal where one can publish or read about any aspect of statistical research or innovative method. Abstracts of articles are available for viewing; from there, you can read or download the article (or any comments written about it), in Portable Document Format (. pdf) or Postscript (.ps) format.
• Journal of Statistical Software -- an electronic, peer-reviewed, free journal.
• Journal of Official Statistics -- published by the national statistical office of Sweden. Publishes articles on statistical methodology and theory, with an emphasis on applications. Free access to full-text articles in pdf format

Automatic Comparison Shopping Service:

If you can't find a free book online that meets your needs, and you have to actually buy one, then at least get the best price. Type the title into the BestBookBuys page, and it will compare several dozen online bookstores and rank them by price.