# Calculus required

• ### Markov Chains

Develops the idea of the transition matrix and what it can tell you.

The function of this site is to collect, compile, analyse, abstract and publish statistical information relating to the commercial, industrial, financial, social, economic and general activities and condition of the people.
• ### **Markov Chains

Discusses Markov chains, transition probabilities, and the transition probability matrix.
• ### Design of Experiments, QC and Taguchi Methods

Discusses the benefits of Taguchi methods applied to engineering.
• ### ** Guessing Correlations

This is a basic web application that allows practice with matching points on a scatterplot to the appropriate correlation coefficient, r. Applet provides four scatterplots to match with four numeric correlations via radio buttons. After making selections, students click to see "correct" answers and keep a running total of proportion of correct matches, then may select four more plots.
• ### Bernoulli Trials

This online, interactive lesson on Bernoulli provides examples, exercises, and applets that cover binomial, geometric, negative binomial, and multinomial distributions.
• ### **Can You Beat Randomness: The Lottery Game

This is the description and instructions for the Can You Beat Randomness?- The Lottery Game applet. It is a simulation of flipping coins. Students are asked to make conjectures about randomness and how certain strategies affect randomness. It strives to show the "growth of order out of randomness."
• ### Comparing Two Groups

This page discusses the procedures and applications of the two sample t test and the paired t test.
• ### Likelihood Ratio Test

This site focuses on using the LRT to compare two competing models.
• ### Log-likelihood ratio

This site offers an involved definition of the likelihood ratio test with examples and formulas.