# Simulation

• ### Cartoon: No tables needed when z = 2

A cartoon to to help students remember that about 95% of data in a symmetric histogram lies within 2 standard deviations of the mean. Cartoon by John Landers (www.landers.co.uk) based on an idea from Dennis Pearl (The Ohio State University). Free to use in the classroom and on course web sites.
• ### Cartoon: Perspective

A cartoon to teach about using summary statistics to draw out the salient features of a data set. Cartoon by John Landers (www.landers.co.uk) based on an idea from Dennis Pearl (The Ohio State University). Free to use in the classroom and on course web sites.
• ### Song: It Don't Mean A Thing (If You Don't Do Modelling!)

A song to stress the importance of modeling in statistical analyses. Sung by Canadian singer Gurdeep Stephens. Lyrics copyright and music performed by Michael Greenacre of Pompeu Fabra University, Barcelona, Spain. May be sung to the tune of Duke Ellington and Irving Mills' 1932 big band standard "It Don't Mean a Thing (If It Ain't Got That Swing)"
• ### 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.
• ### Gallery: Reinterpreting Jasper Francis Cropsey

A sketch by Anastasia Mandel reinterpreting "Sunset, Eagle Cliff, New Hampshire" by Jasper Francis Cropsey (1867) with the statistical caption "Regression tree, still standing after the trials." This is part of a collection of sketches by Anastasia Mandel and their accompanying statistical captions written by Stan Lipovetsky and Igor Mandel that took first place in the cartoon & art category of the 2009 A-Mu-sing contest sponsored by CAUSE. The collection and their accompanying statistical captions discussed in the paper "How art helps to understand statistics" (Model Assisted Statistics and Applications, 2009) by Stan Lipovetsky and Igor Mandel in volume 4 pages 313-324. Free to use in classrooms and on course websites.
• ### Song: Plus or Minus Two

A song parody by Steve Sodergren (a.k.a. Al G Bra: see www.reverbnation.com/algbra) that may be sung to the tune of "With or Without You" by U2. Can be used to stimulate conversation about confidence intervals and the typical use of 95% confidence in the media when it is not otherwise reported (i.e. being within plus or minus two standard deviations for intervals based on a normal sampling distribution). This song appears on Al G Bra's "Hotel Califormula" CD.
• ### Gallery: Reinterpreting Kazimir Severinovich Malevich

A sketch by Anastasia Mandel reinterpreting "Red Square: Painterly Realism of a Peasant Woman in Two Dimensions" by Kazimir Severinovich Malevich (1915) with the statistical caption "R^2, or it might be a Russian square, used when there is a shortage of the Latin ones." This is part of a collection of sketches by Anastasia Mandel and their accompanying statistical captions written by Stan Lipovetsky and Igor Mandel that took first place in the cartoon & art category of the 2009 A-Mu-sing contest sponsored by CAUSE. The collection and their accompanying statistical captions discussed in the paper "How art helps to understand statistics" (Model Assisted Statistics and Applications, 2009) by Stan Lipovetsky and Igor Mandel in volume 4 pages 313-324. Free to use in classrooms and on course websites.
• ### Gallery: Reinterpreting Gustave Moreau

A sketch by Anastasia Mandel reinterpreting "The Dead Poet Borne by a Centaur" by Gustave Moreau (c. 1890) with the statistical caption "Mixed model: a centaur may yield only mixed results." This is part of a collection of sketches by Anastasia Mandel and their accompanying statistical captions written by Stan Lipovetsky and Igor Mandel that took first place in the cartoon & art category of the 2009 A-Mu-sing contest sponsored by CAUSE. The collection and their accompanying statistical captions discussed in the paper "How art helps to understand statistics" (Model Assisted Statistics and Applications, 2009) by Stan Lipovetsky and Igor Mandel in volume 4 pages 313-324. Free to use in classrooms and on course websites.
• ### Gallery: Kolmogorov-Smirnov

A movie frame given the statistical caption "Kolmogorov-Smirnov test: many think its still the best, especially for a non-parametric mood." This is part of a collection of statistical captions to accompany art work written by Stan Lipovetsky and Igor Mandel that took first place in the cartoon & art category of the 2009 A-Mu-sing contest sponsored by CAUSE. The collection and their accompanying statistical captions discussed in the paper "How art helps to understand statistics" (Model Assisted Statistics and Applications, 2009) by Stan Lipovetsky and Igor Mandel in volume 4 pages 313-324. The still shot came from the 1959 movie "Our Man in Havana" starring Alec Guinness and Ernie Kovacs. Free to use in classrooms and on course websites.
• ### Webinar: Taking your Class for a Walk ... Randomly

An important idea in statistics is that the amount of data matters. We often teach this with formulas --- the standard error of the mean, the t-statistic, etc. --- in which the sample size appears in a denominator as âˆšn. This is fine, so far as it goes, but it often fails to connect with a student's intuition. In this presentation, I'll describe a kinesthetic learning activity --- literally a random walk --- that helps drive home to students why more data is better and why the square-root arises naturally and can be understood by simple geometry. Students remember this activity and its lesson long after they have forgotten the formulas from their statistics class.