# Central Limit Theorem

• ### Distribution Calculator Lines

The program DistCalc calculates probabilities and critical values for the most important distributions. The purpose of this program is to show the concept of critical values and the replacement of printed distribution tables. The Distribution Calculator offers calculations for the normal distribution, the t distribution, the chi-square distribution, and the F distribution.

• ### Computing and Data Analysis for Environmental Applications

This course site contains a complete set of course materials, including lecture notes, assignments and exams. This subject is a computer-oriented introduction to probability and data analysis. It is designed to give students the knowledge and practical experience they need to interpret lab and field data. The MATLAB?? programming language is used to perform virtual experiments and to analyze...
• ### A "Small" Effect Size Can Make a Large Difference

This applet demonstrates that even a "small" effect can be important under some circumstances. Applicants from two groups apply for a job. The user manipulates the mean and the cut-off score in order to see the effects the small changes has on the number of people hired in each group. The effects on the proportion of hired applicants from each group are displayed.(Requires a browser that supports Java).
• ### Chi Square Test of Deviations from Expected Frequencies

The applet allows users to sample from a normal distribution or from a uniform distribution. It shows the expected values and the observed values and computes the deviation. Then, a chi-square test shows if the deviations are significant for both the normal and uniform distributions.
• ### 2 x 2 Contingency Tables

This applet simulates experiments using 2 x 2 contingency tables. You specify the population proportions and the sample size and examine the effects on the probability of rejecting the null hypothesis.
• ### Dataset Example: Reliability and Regression Analysis

This applet demonstrates how the reliability of X and Y affect various aspects of the regression of Y on X.
• ### JAVA Comparing distributions

This simulation shows recorded response times on a simple motor task under two conditions. Various statistics and graphs used to compare the distributions are presented.
• ### Unequal n ANOVA and Types of Sums of Squares

This simulation illustrates types of sums of squares in a 2 x 3 ANOVA.
• ### Video: Against All Odds: 23. Control Charts

In this free online video program, "the successes of casino owners and the manufacturing industry are used to demonstrate the use of the central limit theorem. One example shows how control charts allow us to effectively monitor random variation in business and industry. Students will learn how to create x-bar charts and the definitions of control limits and out-of-control limits."
• ### **Normal Approximation to the Binomial Distribution

This demonstration allows you to view the binomial distribution and the normal approximation to it as a function of the probability of a success on a given trial and the number of trials. It can be used to compute binomial probabilities and normal approximations of those probabilities.