# Simulation

• ### Teaching Bayesian Reasoning in Less Than Two Hours

This journal article describes a set of experiments in which different methods of teaching Bayes' Theorem were compared to each other. The frequency representation of the rule was found to be easier to learn than the probability representation.
• ### Analysis Tool: Empirical Distributions

This applet plots the survival function (1-F(t)) of the exponential distribution against the empirical survival function. The empirical survival function is one minus the empirical distribution function.

• ### Analysis Tool: Empirical Cumulative Distribution

This applet allows the user to enter data, then returns the values of empirical cumulative distribution function by sorting the data and reporting the height of the curve at each point. It does not show the graph.

• ### The Gambler's Ruin Problem

This applet allows you to experience the fate of a gambler by simulating the whole gambling session in a matter of seconds. The applet plots the successive rises and falls of the capital during the whole duration of the game. It also displays the maximum and minimum values attained by the capital during the session and allows you to get precise information (by clicking at a point of the histogram) of the amount of capital after that particular bet.
• ### Let's Make a Deal

This page has links to an explanation of the applet and to the applet itself. It is a simulation of the T.V. game show. There are three doors to choose from and after making a choice, one of the other doors is revealed. The player can choose to pick the other unopened door or stay with their original choice. Afterwards the statistics of previous contestants are shown. (Note: the applet statistics are inaccurate)
• ### Let's Make a Deal II

This applet doesn't have more explanation than - Let's Make a Deal II- An applet to demo at the UCLA conference. It has statistics for a number of tries at a time with choices for whether or not the host knows what is behind the door and whether or not the contestant switches doors after primary choice.
• ### Shannon's Experiment to Calculate the Entropy of English

The following applet allows you to simulate the Shannon experiment, an experiment aimed at determining the entropy of an English letter (the amount of information in bits that we obtain on the average when we learn one letter of English). The simulation will calculate the amount of entropy for you when you are finished guessing the letters.
• ### Breaking The Rectangular Transposition Encryption System

This applet illustrates the codebreaking process entitled Rectangular Transposition Encryption System.
• ### Breaking A Monoalphabetic Encryption System Using a Known Plaintext Attack

This applet illustrates the codebreaking process using a chi-squared process.
• ### International Statistical Institute Glossary of Statistical Terms

This site shows the ISI's alphabetical list of technical terms in statistics showing the translation in a number of languages.