Discrete

• Significance Level

This resource briefly explains what a significance level is and how they are used in hypothesis testing. It also includes other links related to significance level such as "Type I error" and "significance test".
• Interpreting Statistical p-values

This page discusses the understanding of and interpretation of p-values for those who read articles with statistical information.
• HyperStat Online: Ch. 11 Power

This site defines power and explains what factors may affect it, such as significance level, sample size and variance.

• Confidence Intervals & Hypothesis Testing

This site explains the relationship between hypothesis testing and confidence intervals.
• **Introduction to hypothesis testing -- The z-test

This exercise will help the user understand the logic and procedures of hypothesis testing. To make best use of this exercise, the user should know how to use a z table to find probabilities on a normal distribution, and how to calculate the standard error of a mean. Relevant review materials are available from the links provided. The user will need a copy of the hypothesis testing exercise (link is provided), a table for the standardized normal distribution (z), and a calculator. The user will be asked several questions and will be given feedback regarding their answers. Detailed solutions are provided, but users should try to answer the questions on their own before consulting the detailed solutions. The end of the tutorial contains some "thought" questions.
• 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.

• Simulation of the t-distribution

The t-distribution activity is a student-based in-class activity to illustrate the conceptual reason for the t-distribution. Students use TI-83/84 calculators to conduct a simulation of random samples. The students calculate standard scores with both the population standard deviation and the sample standard deviation. The resulting values are pooled over the entire class to give the simulation a reasonable number of iterations.
• Sampling Distributions (Presentation 7)

This PowerPoint presentation teaches sampling distributions related to proportions and means using multiple examples, charts, and graphs.
• Analysis Tool: Log-Linear Analysis for an AxBxC Contingency Table

Log-linear analysis is a version of chi-square analysis in which the relevant values are calculated by way of weighted natural logarithms. This page will calculate several values of G^2.

• Binomial Probability Model

This resource defines and explains binomial probability, including examples and exercises for the learner.