# Simulation

• ### Analysis Tool: Student's t-test JAVA Applet

This java applet can be used to determine whether or not the means in two sample populations are significantly different.

• ### Analysis Tool: Student's T Tester JAVA Applet

This applet performs the Student's t test on two sets of data, and reports the average and variance for both sets of data, the t score, degrees of freedom, and one and two tailed P values.

• ### Probability Plotter/Calculator

Probability plotter and calculator allows students to explore different distributions and their relationships. Interactive dialogue box allows students to change distribution shape and scaling parameters as well as allowing to explore cumulative probabilities. Discrete distributions include the discrete uniform, binomial, and the poisson. Continuous distributions include the uniform, beta, exponential, weibull, gamma, and lognormal distributions. Sampling distributions include the normal, the t-distribution, the chi-square, and the F-distribution.
• ### Virtual Statistician

Descriptions, examples, and online calculators for a variety of statistical concepts. Includes One-Way Anova, Tukey's Post Hoc Test, and much, much more.
• ### Games: Stat2Labs

As mentioned on the home page of this resource "This site presents workbook-style, project-based material that emphasizes real world applications and conceptual understanding. This material is designed to give students a sense of the importance and allure of statistics early in their college career. By incorporating many of the successful reforms of the introductory statistics course into a wide range of more advanced topics we hope that students in any discipline can realize the intellectual content and broad applicability of statistics."

• ### Song: I'd Like to Teach the World to Think

I'd Like to Teach the World to Think is a parody of the 1971 hit single "I'd Like to Teach the World to Sing (in perfect harmony)" by the New Seekers. The music for the song was also made famous in a series of Coca-Cola advertisements that have run for decades. The parody may be used in teaching the value of collecting data, especially to improve reliability and the need to assume the null hypothesis is true in carrying out a significance test. Lyrics by Dennis Pearl (The Ohio State University) with assistance from Lawrence Mark Lesser (University of Texas at El Paso). Musical accompaniment realization and vocals are by Joshua Lintz from University of Texas at El Paso.
• ### Quote: Agathon on Unlikely Events

Amidst the strange vicissitudes of life, 'tis likely, most unlikely things should happen is a quote by Greek poet Agathon (448-400 BC). The quote is mentioned in Aristotle's (384 - 322 BC) book "Rhetoric". This version of the quote is found on page 357 of the 1823 "A New Translation of Aristotle's Rhetoric" by John Gillies.
• ### Hans Rosling TED Talk

In this video (which lasts almost 20 minutes), statistics guru Hans Rosling debunks myths about the so-called "developing world."
• ### Webinar: Using the Online Dice-Based Golf Game GOLO to Illustrate Probability

March 23, 2010 Activity webinar presented by John Gabrosek & Paul Stephenson, Grand Valley State University and hosted by Leigh Slauson, Capital University. GOLO is a dice-based golf game that simulates playing a round of golf. GOLO can be used to illustrate basic probability concepts, descriptive summaries for data, discrete probability distributions, order statistics, and game theory. Participants had a chance to play the online version of GOLO.
• ### M&Ms Quality Control: A Chi-Square Analysis

This is my take on the ubiquitous M&Ms counting activity. Each student records the color proportions in a fun-size bag of M&Ms. We pool the class data and run a Chi-Square goodness-of-fit test to determine whether or not the color proportions match those claimed on the manufacturer's website. We consistently find that the proportions do not match. The blue M&Ms, in particular, are underrepresented. This activity also includes a review of the 1-proportion z confidence interval.