# Categorical ANOVA

• ### Video: Against All Odds: 29. Inference for Two-Way Tables

In this free online video program, "a two-way table of counts displays the relationship between two ways of classifying people or things. This program concerns inference about two-way tables, covering use of the chi-square test and null hypothesis in determining the relationship between two ways of classifying a case. The methods are used to investigate a possible relationship between a worker's gender and the type of job he or she holds."
• ### Steps in a Statistical Study

This outline, appropriate for an introductory statistics course, describes steps in a statistical study including identifying the question, designing a study, collecting data, analyzing data and making conclusions.
• ### ANOVA for Regression

This site gives an explanation, a definition and an example of ANOVA for regression. Topics include analysis of variance calculations for simple and multiple regression, and F-statistics.
• ### Tests of Significance

This site gives an explanation, a definition of and an example for tests of significance. Topics include null and alternative hypotheses for population mean, one-sided and two-sided z and t tests, levels of significance, and matched pairs analysis.
• ### Analysis Tool: 2x2 Contingency Table (Version 2)

This page will calculate standard measures for Rates, Risk Ratio, Odds, Odds Ratio, and Log Odds. It will also calculate the Phi coefficient of association;perform a chi-square test of association, if the sample size is not too small; and perform the Fisher exact probability test, if the sample size is not too large. For intermediate values of n, the chi-square and Fisher tests will both be performed.

• ### Java Demos for Probability and Statistics

A small collection of applets on the following topics: Introduction to Probability Models, Hypergeometric Distribution, Poisson Distribution, Normal Distribution, Proportions, Confidence Intervals for Means, The Central Limit Theorem, Bivariate Normal Distribution, Linear Regression, Buffon's Needle Problem.
• ### Normal Distribution JAVA Applet

This applet shades the graph and computes the probability of X, when X is between two parameters x1 and x2. The user inputs the mean, standard deviation, x1 and x2. This applet should be resized for optimal viewing.

• ### Permutations

This program returns a list of all the permutations of the set {1, 2, ..., n}. It allows you to select the given output, copy it, and paste it into a Word or Excel document.
• ### Psychic Test Demonstration

Users can test their "psychic ability" to predict the future by guessing the outcome of a coin toss before it occurs. Enter your predictions by clicking the "heads" or "tails" button. When you enter your guess, the coin is tossed and the result is displayed. As you continue guessing, the applet keeps track of the total number of guesses and the total number of correct guesses, plotting it above. If you are truly psychic, you should be able to beat the odds in the long run. You can "weight" the coin by changing the probability of it landing heads.
• ### Racing Game Applet

This applet allows the user to simulate a race where the results are based on the roll of a die. The user can determine which player moves forward for a given roll, and can then experiment with the race by determining which player will win more often based on the rules that they specify.