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- [Home](https://seeing-theory.brown.edu/#firstPage) - [Chapters](https://seeing-theory.brown.edu/#secondPage) - [About](https://seeing-theory.brown.edu/#3rdPage) - [Book](https://seeing-theory.brown.edu/#4thPage) This site is archived for reference # Seeing Theory A visual introduction to probability and statistics. [Start](https://seeing-theory.brown.edu/basic-probability/index.html) [](https://seeing-theory.brown.edu/#secondPage) - [Basic Probability](https://seeing-theory.brown.edu/#secondPage/chapter1) - [Compound Probability](https://seeing-theory.brown.edu/#secondPage/chapter2) - [Probability Distributions](https://seeing-theory.brown.edu/#secondPage/chapter3) - [Frequentist Inference](https://seeing-theory.brown.edu/#secondPage/chapter4) - [Bayesian Inference](https://seeing-theory.brown.edu/#secondPage/chapter5) - [Regression Analysis](https://seeing-theory.brown.edu/#secondPage/chapter6) #### Chapter 1 # Basic Probability This chapter is an introduction to the basic concepts of probability theory. [Go to Basic Probability](https://seeing-theory.brown.edu/basic-probability/index.html) [ Chance Events](https://seeing-theory.brown.edu/basic-probability/index.html#section1) [ Expectation](https://seeing-theory.brown.edu/basic-probability/index.html#section2) [ Variance](https://seeing-theory.brown.edu/basic-probability/index.html#section3) #### Chapter 2 # Compound Probability This chapter discusses further concepts that lie at the core of probability theory. [Go to Compound Probability](https://seeing-theory.brown.edu/compound-probability/index.html) [ Set Theory](https://seeing-theory.brown.edu/compound-probability/index.html#section1) [ Counting](https://seeing-theory.brown.edu/compound-probability/index.html#section2) [ Conditional Probability](https://seeing-theory.brown.edu/compound-probability/index.html#section3) #### Chapter 3 # Probability Distributions A probability distribution specifies the relative likelihoods of all possible outcomes. [Go to Probability Distributions](https://seeing-theory.brown.edu/probability-distributions/index.html) [ Random Variables](https://seeing-theory.brown.edu/probability-distributions/index.html#section1) [ Discrete and Continuous](https://seeing-theory.brown.edu/probability-distributions/index.html#section2) [ Central Limit Theorem](https://seeing-theory.brown.edu/probability-distributions/index.html#section3) #### Chapter 4 # Frequentist Inference Frequentist inference is the process of determining properties of an underlying distribution via the observation of data. [Go to Frequentist Inference](https://seeing-theory.brown.edu/frequentist-inference/index.html) [ Point Estimation](https://seeing-theory.brown.edu/frequentist-inference/index.html#section1) [ Interval Estimation](https://seeing-theory.brown.edu/frequentist-inference/index.html#section2) [ The Bootstrap](https://seeing-theory.brown.edu/frequentist-inference/index.html#section3) #### Chapter 5 # Bayesian Inference Bayesian inference techniques specify how one should update one’s beliefs upon observing data. [Go to Bayesian Inference](https://seeing-theory.brown.edu/bayesian-inference/index.html) [ Bayes' Theorem](https://seeing-theory.brown.edu/bayesian-inference/index.html#section1) [ Likelihood](https://seeing-theory.brown.edu/bayesian-inference/index.html#section2) [ Prior to Posterior](https://seeing-theory.brown.edu/bayesian-inference/index.html#section3) #### Chapter 6 # Regression Analysis Regression Analysis is an approach for modeling the linear relationship between two variables. [Go to Regression Analysis](https://seeing-theory.brown.edu/regression-analysis/index.html) [ Ordinary Least Square](https://seeing-theory.brown.edu/regression-analysis/index.html#section1) [ Correlation](https://seeing-theory.brown.edu/regression-analysis/index.html#section2) [ Analysis of Variance](https://seeing-theory.brown.edu/regression-analysis/index.html#section3) Seeing Theory was created by Daniel Kunin while an undergraduate at Brown University. The goal of this website is to make statistics more accessible through interactive visualizations (designed using Mike Bostock’s JavaScript library [D3.js](https://d3js.org/)). The Team [ Daniel Kunin](http://daniel-kunin.com/) [ Jingru Guo](http://www.jingru-guo.com/) [ Tyler Dae Devlin](https://www.linkedin.com/in/tyler-dae-devlin/) [ Daniel Xiang](https://math.stackexchange.com/users/303759/daniel-xiang) Awards & Press [](https://www.informationisbeautifulawards.com/showcase/2296-seeing-theory) [](https://www.commarts.com/project/26039/seeing-theory) [](https://cs.brown.edu/about/conduit/conduit_v27.pdf#page=14) [](https://www.fastcodesign.com/3068795/a-visual-guide-to-statistics) [](http://capeandislands.org/post/websites-will-make-you-fall-love-statistics#stream/0) [](https://thenextweb.com/apps/2017/03/01/interactive-webiste-statistics-boring/) [](https://www.sxsw.com/awards/interactive-innovation-awards/) [](http://www.browndailyherald.com/2018/02/08/brown-risd-grads-craft-online-statistics-resource/) [](https://www.webbyawards.com/winners/2018/websites/general/education/seeing-theory/) We are currently working on a textbook for Seeing Theory. Download a draft of our pdf below. You can provide feedback on our writing [here](http://seeingtheory.civicomment.org/seeing-theory-notes). [ download](https://seeing-theory.brown.edu/doc/seeing-theory.pdf) - ###### Twitter - ###### Contact - ###### Github - ###### Donate

A visual introduction to probability and statistics. [Start](https://seeing-theory.brown.edu/basic-probability/index.html) [](https://seeing-theory.brown.edu/#secondPage) #### Chapter 1 ## Basic Probability This chapter is an introduction to the basic concepts of probability theory. [Go to Basic Probability](https://seeing-theory.brown.edu/basic-probability/index.html) #### Chapter 2 ## Compound Probability This chapter discusses further concepts that lie at the core of probability theory. [Go to Compound Probability](https://seeing-theory.brown.edu/compound-probability/index.html) #### Chapter 4 ## Frequentist Inference Frequentist inference is the process of determining properties of an underlying distribution via the observation of data. [Go to Frequentist Inference](https://seeing-theory.brown.edu/frequentist-inference/index.html) #### Chapter 5 ## Bayesian Inference Bayesian inference techniques specify how one should update one’s beliefs upon observing data. [Go to Bayesian Inference](https://seeing-theory.brown.edu/bayesian-inference/index.html) #### Chapter 6 ## Regression Analysis Regression Analysis is an approach for modeling the linear relationship between two variables. [Go to Regression Analysis](https://seeing-theory.brown.edu/regression-analysis/index.html) We are currently working on a textbook for Seeing Theory. Download a draft of our pdf below. You can provide feedback on our writing [here](http://seeingtheory.civicomment.org/seeing-theory-notes).