Statistics from 0 to 100Beta

An interactive book · beta version

Statisticsfrom 0 to 100

Prof. Ricardo Tarrasch

From a school calculator all the way to mixed models, mediation and SEM. In Excel, SPSS, JASP and R.

To the contents
Ricardo Tarrasch, illustrated

Statistics from 0 to 100 · Prof. Ricardo Tarrasch

An interactive book that starts from a school calculator and goes all the way to mixed models, factor analysis and mediation. Every chapter starts with a real question from the world of education, explains why before how, and shows how to do it in the software.

Nice to meet you: who is writing this book →A few words from me, Ricardo: where I come from, why I wrote this book, and how statistics helps in life too. New here? Start here →A three-minute guide: how the book is built, and how to leave a comment. This is a beta version, and every comment you leave helps make the book better.
Read it as a bookRead at your own pace, with explanations, labs and short questions along the way. Learn it as a courseChoose a course and a level. In every chapter: questions along the way, sample questions with solutions, and an exam with a grade.
Automatic analysis and writing →Upload an Excel file, answer a few questions, and get an APA results section as a Word file. Every choice links to the chapter that explains it.

Contents

Right now 46 of 46 chapters are written. The book is written chapter by chapter, and the written chapters are linked.

Part 0: Before we start

  1. How to read this book
  2. A math toolbox
  3. Counting, guessing and expecting: combinatorics
  4. What are the chances? Probability and expected value
  5. Meet the software

Part A: Research and data

  1. From a question to a study
  2. Variables and their roles
  3. Levels of measurement
  4. Research designs and sampling
  5. Building a data file

Part B: Describing the data (descriptive statistics)

  1. Frequency tables and graphs
  2. Measures of central tendency
  3. Measures of dispersion
  4. The shape of the distribution
  5. Relative position: percentiles and standard scores
  6. The normal distribution
  7. Correlation: describing the relationship
  8. Data preparation and reliability

Part C: From the sample to the population

  1. The sampling distribution
  2. The logic of hypothesis testing: the z test
  3. Power and confidence intervals
  4. The file drawer: publication bias and p-hacking
  5. The one-sample t test
  6. t tests for two samples
  7. Nonparametric tests
  8. Chi-square
  9. Significance of a correlation
  10. Which test? A first road map

Part D: Models: comparing groups and prediction

  1. One-way analysis of variance
  2. Two-way ANOVA and interaction
  3. Simple regression
  4. Multiple regression
  5. Dummy variables
  6. Hierarchical regression
  7. Logistic regression
  8. Moderation

Part E: Advanced

  1. Analysis of covariance (ANCOVA) and planned comparisons
  2. Repeated measures and mixed designs
  3. Multivariate analysis of variance (MANOVA)
  4. Transformations: when a variable is too skewed
  5. Linear mixed models
  6. Factor analysis
  7. Path analysis and mediation
  8. SEM basics and confirmatory factor analysis
  9. The Bayesian approach

Part F: From analysis to writing

  1. Which analysis? The full map
  2. Writing the results section

All the labs (75) The glossary (625) The data files for practice

What is in the book

Four programsEvery demonstration in the book appears in Excel, SPSS, JASP and R. You choose once in the top bar, and the whole book switches.
Three levels of depthLevel 1 (in brief) for a quick review, Level 2 (the explanation) for ordinary reading, and Level 3 (in depth, the full story) for anyone who wants to know why.
LabsMore than 60 interactive labs: move a slider, change the data, and watch the statistics move in front of your eyes.
A glossary in several languagesEvery term in the book can be clicked: the definition opens in any of the book's languages, as you choose.
Symbols that talkEvery statistical symbol in the book is colored and can be clicked: a click shows what it says, how other books write it, and what it is called in the output of each program.