# Sample Space & Sets

• ### Dataset: Oral Fertility Study in Male and Female Rats

This dataset comes from a study on 200 rats (100 of each gender) which were given one of 5 treatments, and then allowed to mate. At delivery, information on the pups was collected, and a sample of 8 pups (4 of each gender) was chosen from each litter. Body weights for these pups were recorded once a week for three weeks. Questions this study focused on refer to the safety of the treatments. A text file version of the data is found in the relation link.
• ### IDEAL: Probability Definitions

This module discusses the probability of an event and relative frequency. The applet shows how empirical probability converges to theoretical probability as the sample size increases. The follow-up example includes an applet that simulates drawing differently colored balls from an urn.
• ### Statistics at Square One: Exact Probability Test

This section of an online textbook discusses calculating the exact probability using observed sets of frequencies, constructing frequency tables, and computing p-values. Exercises and answers are provided.
• ### Video: Statz Rappers

This video is a humorous refresher of statistics methodology. This rap video presents a parody with statistical references. It is quite entertaining.
• ### Dataset Example: Pay for Play: Are Baseball Salaries Based on Performance?

The dataset presented in this article provides the salary and performance data for non-pitchers for the 1992 Major League Baseball season. Exploratory data analysis is used to determine a suitable regression model for the data. Key Words: Model selection and validation; Stepwise model selection.
• ### Box Model

This virtual applet simulates randomly drawing numbers from a box. You can choose which numbers you would like to choose from and the number of draws. The applet has the option to show theoretical probability and displays the results in histogram form.
• ### 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).
• ### 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."
• ### Analysis Tool: Statistics Online Computational Resources (SOCR)

This applets on this site include: interactive graphs of many distribution models; a collection of computer generated games; a collection of data modeling aids including curve fitting, wavelets, matrix manipulations, etc.; p-values, quantiles & tail-probabilities calculations; virtual online probability experiments and demonstrations; and a large collection of statistical techniques for online data analysis, visualization, and integration.

• ### Probability Spaces

This online, interactive lesson on probability spaces provides examples, exercises, and applets that cover conditional probability, independence, and several modes of convergence that are appropriate for random variables. This section also covers probability space, the paradigm of a random experiment and its mathematical model as well as sample spaces, events, random variables, and probability measures.