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# Discrete

• ### Generalized Linear Models for Poisson Data

This presentation is a part of a series of lessons on the Analysis of Categorical Data. This lecture covers the following: the poisson log-linear model, poisson regression, estimated rate ratio, and negative binomial distribution.

• ### Introduction to Categorical Data Analysis

This presentation is a part of a series of lessons on the Analysis of Categorical Data.  This lecture provides a review of probability and statistical concepts such as conditional probabilities, Bayes Theorem, sensitivity and specificity, and binomial and poisson distributions.

• ### Penn State STAT 800: Introduction to Applied Statistics

This is a graduate level introduction to statistics including topics such as probabilty/sampling distributions, confidence intervals, hypothesis testing, ANOVA, and regression.  Perfect for students and teachers wanting to learn/acquire materials for this topic.

• ### Penn State STAT 504: Analysis of Discrete Data

The focus of this class is a multivariate analysis of discrete data. We will learn basic statistical methods and discuss issues relevant for the analysis of some discrete distribution, cross-classified tables of counts, (i.e., contingency tables), success/failure records, questionnaire items, judge's ratings, etc. Being familiar with matrix algebra is helpful in completing this course.  Perfect for students and teachers wanting to learn/acquire materials for this topic.

• ### Rice Virtual Lab Simulations (JAVA Applets)

A collection of Java applets and simulations covering a range of topics (descriptive statistics, confidence intervals, regression, effect size, ANOVA, etc.).

• ### Brilliant.org - Lessons in Probability

How can we accurately model the unpredictable world around us? How can we reason precisely about randomness? This course will guide you through the most important and enjoyable ideas in probability to help you cultivate a more quantitative worldview.

By the end of this course, you’ll master the fundamentals of probability and random variables, and you’ll apply them to a wide array of problems, from games and sports to economics and science.  This course includes 62 interactive quizzes and more than 400 probabilty-based problems with solutions.  Access to this course requires users to sign up for a free account.

• ### Psychological Statistics

This site offers separate webpages about statistical topics relevant to those studying psychology such as research design, representing data with graphs, hypothesis testing, and many more elementary statistics concepts.  Homework problems are provided for each section.

• ### Normal v. Binomial Distribution (Shiny App)

Approximating a normal distribution with a binomial distribution

• ### Song: One is the Likeliest Number

A song to teach about Benford's Law for the probability distribution of first digits in real data. The lyrics are copyright by Lawrence Mark Lesser as a parody of Harry Nilsson's "One" made popular in 1969 by "Three Dog Night". "One is the Likeliest Number" was first published in the Spring 2011 issue of "Teaching Statistics". Free for use in non-profit education settings. Musical accompaniment realization and vocals are by Joshua Lintz from University of Texas at El Paso.

• ### Cartoon: The Statistical Airport

A cartoon to teach about how researchers usually hope to find differences between treatment and control (or do they?). Cartoon by John Landers (www.landers.co.uk) based on an idea from Dennis Pearl (The Ohio State University). Free to use in the classroom and on course web sites.