Statistical Inference & Techniques

  • In this video (which lasts almost 20 minutes), statistics guru Hans Rosling debunks myths about the so-called "developing world."
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  • 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.
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  • April 27, 2010 Activity webinar presented by Shonda Kuiper, Grinnell College, and hosted by Leigh Slauson, Capital University. Educational games have had varied success in the past. However, what it means to incorporate games into the classroom has changed dramatically in the last 10 years. The goals of these games are to 1) foster a sense of engagement, 2) have a low threat of failure, 3) allow instructors to create simplified models of the world around us, and 4) motivate students to learn. This webinar uses the same reaction time game to demonstrate a simple 1- 2 day activity that is appropriate for introductory courses as well as an advanced project that encourages students to experience data analysis as it is actually practiced in multiple disciplines. In the introductory activity students are asked to spend 15 minutes playing an on-line game. Data collected from the game is used to demonstrate the importance of proper data collection and appropriate statistical analysis. The advanced project asks students to read primary literature, plan and carry out game based experiments, and present their results.
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  • 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.
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  • 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.
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  • 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.
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  • 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.
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  • 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 √n. 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.

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  • ... one of the main functions of an analogy or model is to suggest extensions of the theory by considering extensions of the analogy, since more is known about the analogy than is known about the subject matter of the theory itself. is a quote by English science philosopher Mary B. Hesse. The quote is found in her 1952 paper "Operational Definition and Analogy in Physical Theories" "British Journal for the Philosophy of Science" (1952).
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  • Care must be taken in planning experiments so that the differences to be examined for significance should be those which furnish an answer to the question which we are asking. is a quote from British statistician William Sealy Gosset (a.k.a. Student: 1876 - 1937). The quote appears in a 1931 letter to "Biometrika" in which he was addressing some criticism of his work by Karl Pearson.
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