Simulation

  • This page supports an in-class exercise that highlights several key Bayesian concepts. The scenario is as follows: a large paper bag contains pieces of candy with wrappings of different color, and we are interested in learning about the unknown proportion of yellow-wrapped pieces of candy. After completing the exercises, we will be familiar with the following concepts and ideas: probability distributions can quantify degree of belief, prior distribution, posterior distribution, sequential updating, conjugacy, Cromwell’s Rule (http://en.wikipedia.org/wiki/Cromwell's_rule), the data overwhelm the prior, Bayes factors, Savage-Dickey density ratio, sensitivity analysis, coherence.

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  • Find the best linear fit for a given set of data points and residuals (or let this app show you how it is done).

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  • The Global Terrorism Database (GTD) contains information about more than 140,000 terrorist incidents occurring between 1970 and 2014. The data in the GTD are gathered from information gathered through multiple news sources (LaFree, Dugan, & Miller, 2015). In this activity, we will study the extent to which chemical, biological, radiological, and nuclear (CBRN) weapons have been used so far. We analyze whether or not their past use fits with our perceptions. Have CBRN weapons been used successfully in the past? Which weapons are more historically dangerous (more fatalities, injuries) in the hands of terrorists? What are the implications of past usage of CBRN weapons compared to other weapons in determining our priorities in counter-terrorism policies?

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  • The NYPD lab uses interactive, online graphs to better understand patterns in stop and arrest data for the New York Police Department. These data were originally collected by New York Police Department officers and record information gathered as a result of stop question and frisk (SQF) encounters during 2006. These data were used in a study carried out, under contract to the New York City Police Foundation, by the Rand Corporation's Center on Quality Policing. The release of the study, "Analysis of Racial Disparities in the New York Police Department's Stop, Question, and Frisk Practices" (Rand Document TR-534-NYCPF, 2007) generated interest in making the data available for secondary analysis. This data collection contains information on the officer's reasons for initiating a stop, whether the stop led to a summons or arrest, demographic information for the person stopped, and the suspected criminal behavior."

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  • The Military Spending lab uses interactive, online graphs to better understand total military spending for each country. We see the limitations of traditional histograms and also consider the importance of using appropriate scales when comparing countries.  The emphasisis of this lab is on understanding the impact of appropriate data transformations and data visualizations.

    App:  http://shiny.grinnell.edu/Military_Spending_Basic/

    Handout:  http://web.grinnell.edu/individuals/kuipers/stat2labs/Handouts/MilSpendB...

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  • The Islands is a free, innovative, online virtual human population created by Dr Michael Bulmer from the University of Queensland. The Islands supports the teaching of statistics through data investigations by providing students with a realistic virtual world where they can propose statistical questions, design investigations and collect the necessary data for statistical analysis and interpretation. The wide range of data and tasks available on the Islands caters to many scientific areas and student interests. Must create an account to access this virtual world.

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  • A video to teach about the central limit theorem and various issues in one-sample hypothesis testing. The lyrics and video were created by Scott Crawford from the University of Wyoming. The music is from the 1988 song "I'm Gonna Be (500 miles)" by the Scottish band The Proclaimers. The video took second place in the video category of the 2013 CAUSE A-Mu-sing competition. Free for non-profit use in classroom and course website applications.
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  • A video to teach about principles of Analysis of Variance. The lyrics and video were created by Scott Crawford from the University of Wyoming. The music is from the 1984 song "Hallelujah" by Canadian songwriter Leonard Cohen. The video took third place in the video category of the 2013 CAUSE A-Mu-sing competition. Free for non-profit use in classroom and course website applications.
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  • A video to dispel myths about Statistics and excite students early in a course. The lyrics and video were created by Scott Crawford from the University of Wyoming. The music is from the 2000 song "Where Are You, Christmas? " written by James Horner and Will Jennings for the movie "How the Grinch Stole Christmas". The video received an honorable mention in the video category of the 2013 CAUSE A-Mu-sing competition. Free for non-profit use in classroom and course website applications.
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  • This simulation illustrates least squares regression and how the least squares solution minimizes the sum of the squared residuals. The applet demonstrates, in a visual manner, various concepts related to least squares regression. These include residuals, sum of squares, the mean line, how the line of best fit is determined, and how the line of least squares solution minimizes the sum of the squared residuals.

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