Interactive Statistical Demonstrations and Tutorials

Demonstrations and Tutorials...

• NBSHARE - helps users share and post Python, R and Excel articles regarding data analysis.
• Mometrix Academy - a set of free videos to help you prepare for various kinds of standardized tests (ACT, GED, GRE, SAT, LSAT, MCAT, and others), and to improve your general knowledge in various areas (business & finance, English, health & fitness, humanities, mathematics, medical, science, and teaching). These videos are presented as a public service of  Mometrix, The World’s Most Comprehensive Test Preparation Company™. The main purpose of this site is to offer free, practical test-taking advice. If you like the content of these videos and you're taking a test in the near future, you may want to look at their more comprehensive study resources at the Mometrix Home Page.
• Varsity Learning Tools -- contains over 100,000 professionally written problems and thousands of distinct practice tests across 150 subjects (e.g.:  foreign languages, history, math, and all levels of science). Also has thousands of practice tests and problems for Common Core and standardized tests like the ACT, SAT, GRE, GMAT, LSAT, MCAT, ISEE, and SSAT. Each question is tied to a specific academic concept, which means that students can pinpoint their particular strengths and weaknesses in almost any area. The platform also includes free web-based classroom assessment software.
  Varsity Learning Tools also has 41 subject specific mobile apps for on-the-go studying, with all of the same free academic content in a convenient and user-friendly interface. The Varsity main web page provides a referral service to paid tutors.
• MATLAB tutorial -- covers setting it up,  interactive mode and script files, writing Matlab code (variables, arrays and matrices, control flow and classes), and sample applications.
• Peter Rosenmai's EurekaStatistics web site (a blog about statistics and R).
• C Programming Tutorial -- A set of short tutorial taking you through the process of creating C programs, from the simplest "Hello World" application, to more complex programs using variables and expressions, input and output, if/then/else and while constructs, and arrays.
• HTML Cheatsheet from Karla Whitlow, Digital. Really nice. Also available in PDF format
• A beginners guide to computer programming and web development. This site has sources about HTML & CSS, JavaScript, JQuery, more advanced topic on PHP, Python, Ruby and C/C++.
• Make a Website
  • A quick and easy 3 step guide for creating your own website.
  • Another easy guide for creating your own website.
• Get info, tips and tricks about WordPress, a frequently used Web development platform
  • How to Make a Website With WordPress from Robert Mening. Includes exact step by step instructions with an hour long video tutorial at the end
  • Best WordPress Hosting
  • Compare Word Press Hosting for folks with certain visual impairments.
  • Test result of 10 WordPress hosts on uptime and speed
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• Two HTML5 web pages by  Robert Mening:
  • Beginner's guide to HTML₅ - Includes a handy "HTML₅ Cheat Sheet".
  • HTML₅ Periodic Table - a clever interactive reference to the components of HTML₅.
• HTML for Beginners -- A nice introduction to HTML, describing the concept of markup tags, preparing an HTML document, using meta-tags, basic formatting, hyperlinks and anchors, images, forms and tables. It also contains links to other HTML resources. Thanks to the young web designers at the W. B. Goodwin Community Center for suggesting this resource!
• Nice HTML5 cheat sheet
• Cascade stylesheet (CSS)
  • Beginner's guide to Cascading Style Sheets -- A nice introduction to CSS, an essential component of modern front-end web development by Ian Mason.
  • Hosting Facts, a site for learning website development in general (including UX, UI and design), not only HTML.
  • Bunch of helpfull links on CSS provided by Jenny Kim (WomeinInCode.org)
    • Learn CSS Today In 7 Easy Steps (Complete With Code Examples)
    • CSS3 Button Generator (WYSIWYG, get the html and css in 3 steps)
    • Web Design Tutorials At Envato Tuts+
    • Getting Started With SASS preprocessing style sheets (with Interactive Examples)
    • Over 1,000 Free CSS Gradients (with copy and paste code generator)
• Make a Web Blog
  • theblogstarter.com offers step-by-step guides with pictures and videos. Free email support, which might be really helpful for beginners. In addition Scott Chow offers a free bloginstall help service.
  • A step by step tutorial with pictures.
  • A short guide providing detailed and step by step information on how to start and grow a blog.
  • As above
  • This is a video tutorial on the topic.
• WebHosting
  • Top 10 Webside hosting
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• On Web Proxy -- get hold on the idear and working using web proxy.


• SticiGui (pronounced "sticky-gooey") -- an excellent interactive online textbook/tutorial that was designed for a "first and last" Statistics class for Business, Social Science, or liberal arts. In other words, this site contains the knowledge you'd want to get if you were going to take only one stats course in your whole life. So it's not geared toward theory, numerical analysis, sophisticated formulas, or big collections of specialized tests or probability distributions. Instead, it helps you think logically about quantitative evidence and to translate real-world situations into mathematical questions; it shows you a few important statistical and probabilistic concepts and some of the difficulties, subjective decisions, and pitfalls, in analyzing data and making inferences from numbers. The text develops probability, estimation, and inference using counting arguments: there is no calculus involved. The web site's creator (a Statistics professor at U.C. Berkely) hopes that people who study these materials will:
  • Read the newspaper with new eyes: become skilled, circumspect consumers of qualitative and quantitative information.
  • Know that probability in particular, and numbers in general, can be used to model some features of the physical world and human behavior.
  • Improve their skills in critical thinking and logical reasoning.
  • Appreciate the role Statistics plays in many fields, from business to economics, law, politics, science and medicine.
  • Know that data can be manipulated to tell many inconsistent stories, that data analysis is not clear cut, and that many subjective judgments are involved in analyzing real data.
  • Know important questions to ask when faced with a quantitative argument—be able to analyze arguments and find their strengths and weaknesses.
  • Understand that untutored intuition tends to produce faulty probability judgments and know how to reason about probability.
  • Appreciate some of the philosophical difficulties in ascribing meaning to probability and in inferring causal relationships from data.
  • Be prepared for more advanced courses in Statistics—even though they might not take any.
• Dr. Hossein Arsham's Remarkable Web Site (University of Baltimore) -- A very large and very impressive collection of online courses, tutorials, and related resources for a wide variety of subjects related to:
  • Statistical Data Analysis for Managerial Decisions, with Excel For Introductory Statistical Analysis
  • Business Statistics for Managerial Decision Making, with Excel for Business Statistics
  • Science of Making Good Strategic Decisions, with Success Science, Leadership Decision Making, Tools for Decision Analysis, Time-Critical Decision Making for Economics and Finance, Zero-Sum Games with Applications, Decision Science Resources, A Collection of Keywords and Phrases
  • Goal-seeking and Optimal Strategic Modeling and Solution Algorithms, with Linear Programming (LP) and Goal-Seeking Strategy, Integer Optimization and the Network Models, Artificial-variable Free LP Solution Algorithms, Tools for LP Modeling Validation, The Classical Simplex Method, Linear Algebra and LP Connections, From Linear to Nonlinear Optimization: The Missing Chapter, Construction of the Sensitivity Region for LP Models, Optimization with Sensitivity Analysis Resources
  • Modeling and Simulation for Systems Analysis, Design and Control, with System Simulation, , Modeling and Simulation Resources
  • Statistical Concepts and Tools for Data Analysis, with Questionnaire Design and Surveys Sampling, Topics in Statistical Data Analysis, Computational Statistics, Probability and Statistics Resources
  • Online Courses: Business Statistics, Decision Science/Management Science/Operations Research.
  • Instructional and Training Resources: Zero Sagas in Four Dimensions, Impact of the Internet on Learning & Teaching Business Statistics: Revealing Facts From Figures -- A comprehensive online business statistics course!  The main part of the course consists of one very long web page covering: Introduction, Towards Statistical Thinking, Probability for Statistical Inference, Topics in Business Statistics, and Interesting and Useful Sites. This page also links to six companion sites: Time Series Analysis and Forecasting Techniques, Companion site II: Computers and Computational Statistics, Companion site III: Questionnaire Design and Surveys Sampling, Companion site IV: Probabilistic Modeling Process: Calculable Risky Decision-Making, Companion site V: Excel For Introductory Statistical Analysis, and Companion site VI: Statistical Books List
• WISE (from Claremont Graduate University) -- a wide range of resources that are freely available on the Internet. Contains a sequence of interactive tutorials on key statistical concepts (sampling distributions, the central limit theorem, hypothesis testing, and statistical power). The tutorials use dynamic applets that allow the user to explore relationships on their own. Guided exercises are designed to help the learner to take full advantage of the applets to gain a deeper understanding of the concepts and logic that underlie much of inferential statistics.
• Statistics 101 in Plain English -- a set of tutorials that describe the basic concepts of statistical inference, and also cover common statistical analyses (t-test, ANOVA, correlation), power/sample-size analysis, and SPSS help. This web site is maintained by a statistical consultant, who offers research/thesis help to doctoral students and researchers, on a fee basis.
• Against All Odds: Inside Statistics -- A video instructional series (26 half-hour video programs) on statistics. With an emphasis on “doing” statistics, this series goes on location to help uncover statistical solutions to the puzzles of everyday life. Learn how data collection and manipulation — paired with intelligent judgement and common sense — can lead to more informed decision-making. This series can also be used as a resource for teacher professional development.
• C++ Maniac -- A set of short lessons that will teach you the basics of Visual C Plus. Chapters currently written include number systems, IEEE floating-point standards, data types and casting, operators and integer operations, character variables, assigning, comparison, IF conditions, conditional and logical operators. And new chapters are being added at a rapid pace.
• Learning Math: Data Analysis, Statistics and Probability -- A video- and Web-based course on basic concepts of statistics for K-8 teachers. Has 9 half-hour and 1 one-hour video programs, course guide, and Web site; graduate credit available. Organized around the content standards of the National Council of Teachers of Mathematics (NCTM). Introduces statistics as a problem-solving process. Presents statistical concepts, such as data representation, variation, the mean and median, bivariate data, probability, designing statistical experiments, and population estimations. Has case studies, divided into grade bands for K-2, 3-5, and 6-8 teachers. Consists of 10 two-and-a-half hour sessions, each with a half-hour of video programming, problem-solving activities available in print and on the Web, interactive activities and demonstrations on the Web, and questions for class discussion or individual reflection.
• StickiGui -- a well-organized and comprehensive interactive online statistics course, by Berkely professor Philip Stark, with chapters on: Tables, Percentiles, Histograms; Measures of Location and Spread; Multivariate Data; Association and Correlation; Regression; Errors in Regression; Counting; Probability:Philosophy and Mathematical Background; Probability: Axioms and Fundaments; "Let's Make a Deal" - Subtleties of Conditional Probability; Probability Meets Data; Random Variables and Discrete Distributions; The Long Run and Expected Value; Standard Error; The Normal Curve, the Central Limit Theorem, and Markov's and Chebychev's inequalities for random variables; Sample Surveys and Sampling Designs; Estimating Parameters from Simple Random Samples; Confidence Intervals; Hypothesis testing: does chance explain the results?; Does Treatment Have an Effect?; Testing Equality of Two Percentages; Approximate Hypothesis Tests: the z test and the t test; Multinomial models for categorical data and the chi-square test for goodness of fit; and A Case Study in Natural Resource Legislation. Also includes a collection of 16 online calculators and demonstrations: Binomial Histogram, Calculator, Chi-square distribution, Controlling for variables, Confidence Intervals, Correlation and Regression, Histogram, Law of Large Numbers, Normal Approximation to Data , Normal Curve, Normal Probabilities, Probability Calculator, Sampling Distributions, Scatterplots, Student's t Distribution, and Venn Diagrams (2 subsets, 3 subsets).
• StatisticsSolutions - a company specializing in statistical consulting and analysis services for graduate students working on their dissertations. Their web site also provides a collection of statistics-related tips, tutorials and other resources.
• How to Test a Random Number Generator -- a chapter from the book Beautiful Testing, by John D. Cook.
• StatGames -- 20 games—or challenges—that will help you test and refine your statistical thinking. Not a substitute for a statistics course, but may give you an enjoyable opportunity to develop your statistical reasoning.
• Choosing Neighbors -- implements Thomas Schelling's mathematical model of residential segregation. "REDs" and "GREENs" live in the same neighborhood. You get to chose how many of each live there, and you get to choose the minimum number of like-color neighbors each wants. (Many people like living in integrated neighborhoods, but most don't want to be the only one of their color there.) The program lets people move around the neighborhood until their wishes are met. See what happens when non-racists just don't want to be alone.
• Statistical Chart Tutor -- helps students learn to read statistical tables: distributions, scatterplots, regressions, and cross-tabulations (the last with and without control variables).
• StatQuiz -- contains hundreds of multiple-choice questions that will help you test and develop your statistical reasoning. The questions are organized into 10 categories (corresponding to the chapters in this statistics textbook: Introduction to Statistical Reasoning, WCB/McGraw-Hill, 1998 ). After you answer each question, you will see a brief explanation of why your selected answer is correct or incorrect.
• VESTAC -- a large collection of Java applets for visualizing statistical concepts (regression, ANOVA, hypothesis tests, all kinds of distributions...) developed at the Catholic University of Leuven in Belgium.
• Statistics Tutorials that briefly explain the use and interpretation of standard statistical analysis techniques, using the WINKS program from TexaSoft.
  Tutorials include:
  • Descriptive Statistics Program
  • Pearson's Correlation Coefficient
  • Simple Linear Regression
  • Single Sample t-test
  • Independent Group t-test
  • Independent Group Analysis of Variance (One-way ANOVA)
  • Paired t-test
  • Mann-Whitney Test (2-group non-parametric comparison)
  • Kruskal-Wallis Test (3 or more group non-parametric comparison)
  • Friedman's Test (Non-parametric repeated measures comparisons)
  • Interpreting p-values
• Probability by Surprise -- A set of interactive applets: The Birthday Problem, Say Red, The Collector, Banach's Matchbox Problem, The Matching Problem, The IID Sequence, Polya's Urn as a restaurant choice, Random Scatter, Traffic jams, Visualizing Probabilities, Building a Probability Tree, Two-dimensional densities with Conditional Probabilities. Also contains class notes for the Introduction to Probability class currently taught at Stanford using these, and other web-resources.
• Interactive Simulations and Demonstrations from the creator of the HyperStat Online statistics book. More than a dozen applets; most require version 4 browsers with (Java 1.1). Includes: Mean and Median; Sampling Distribution Simulation; Confidence Intervals; Normal Approximation to the Binomial Distribution; Confidence Interval on a Proportion; Components of r; Regression by Eye; Restriction of Range; Repeated Measures; A "Small" Effect Size Can Make a Large Difference; Chi Square Test of Deviations from Expected Frequencies; 2 x 2 Contingency Tables; Reliability and Regression Analysis; and Histograms, Bin Widths, and Cross Validation.
  Be sure to take a look at the Rice Virtual Lab in Statistics hompage by David M. Lane.
• Seeing Statistics by Gary McClelland -- an online textbook containing many animated (Java) demonstrations. A tour, and part of the complete book, is available free.
• A set of online tutorials about forecasting, time series, and ARIMA models, from AutoBox.
• Internet Projects to accompany Weiss's Introductory Statistics textbook. For each of the 15 chapters in the book, this website contains a set of pages with a relevant real-world example. The pages contain background material, datasets, guides to analysis (often using the calculating pages listed right here in the Interactive Statistics Pages), and links to other reference material on the Internet.
• An On-line, Interactive, Computer Adaptive Testing Mini-Tutorial -- When an examinee is administered a test via computer, the computer can update the estimate of the examinee's ability after each item and then that ability estimate can be used in the selection of subsequent items. With the right item bank and a high examinee ability variance, CAT can be much more efficient than a traditional paper-and-pencil test. This excellent tutorial lets you learn the logic of CAT and see the calculations that go on behind the scenes. You can play with an actual CAT (items and correct answers provided); try different scenarios and see what happens;pretend you are a high ability, average or low ability examinee; intentionally miss easy items; and get items right that should be very hard for you.
• Spatial Autocorrelation game -- given an initial random assortment of integers which fill a , rearrange them to alter the spatial autocorrelation to maximize it, minimize it, or even to drive it to zero.
• Interactive JavaScript quizes on using SPSS and interpretation of results. Also contains other SPSS-related resources.
• An excellent demonstration of the use of the Chi Square test for analyzing contingency tables. Using one of several pre-loaded sample datasets, you specify the variables to be cross-tabbed; the program then generates a detailed analysis, from which you can interactively explore the effects of merging rows and/or columns in the table.
• A set of demonstrations using the Quincunx to illustrate the Central Limit Theorem (Java)
• Java Demos for Probability and Statistics (Java)
• Five demonstrations of how samples of increasing size approach a theoretical distribution: Empirical, Kaplan-Meier, Nelson-Aalen, Interval censored data, and Doubly-Censored Data.
• Three demonstrations of famous random processes: 2- and 1-dimensional Brownian motion, Buffon needle experiment, and Galton's ball-drop "quincunx".
• Sampling SIM: Downloadable program (for Mac or Windows) to explore sampling distributions of sample means and proportions. It provides separate windows for building population distributions, drawing and viewing random samples from the population, exploring the behavior of sampling distributions of sample means, and exploring the behavior of confidence intervals.
• Play around with the Normal (Gaussian) distribution
• Linear regression / correlation demo -- click a bunch of points onto the screen; as you enter each one, the computer immediately computes and displays an adjusted regression line (with equation and correlation coefficient) (Java)
• Similar to above, but lets you simulate points from distributions with known correlation coefficient (Java)
• Simulation of various sampling distributions (Java)
• Simulation of drawing objects (with replacement) from a "box" whose contents you can define (Java)
• A collection of QuickTime movies illustrating various statistical concepts
• Monte-Carlo p vs sample size simulation for survey questionnaire results, with graphical output (Java)
• Virtual Fly Lab -- simulate classic drosophila genetics experiments: Specify the wing, hair, eye, antennae, etc. characteristics of a hypothetical male and female fly; simulate the offspring of a mating; select a pair of offspring to breed; simulate the offspring of their mating; and compare the observed frequencies with those predicted from Mendelian genetics.
• An interactive homework-tutoring system for math (including algebra, geometry, trigonometry, calculus, probability and statistics). A paid service, but there's a 7-day free trial.