Statistical Inference & Techniques

  • 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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  • ...no good statistician existed unless he, or she, had been so involved in practical experimentation that they appreciated and understood the problems of the experimenter, the process worker, the farmer and the laboratory assistant. is a quote of British applied statistician Stella V. Cunliffe (1917 - 2012). The quote comes from her Presidential address on November 12, 1975 to the Royal Statistical Society (she was the first women to hold the position). The full presentation can be found in "JRSS series A" vol 139 p. 1-19 and contains many interesting examples from her years working at Guiness Brewery and for the government at the Home Office.
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  • A cartoon to teach the idea that averages are less variable than individual values. The cartoon is free for use on course websites or in the classroom. Commercial uses must contact the copyright holder - British cartoonist John Landers (cartoons@landers.co.uk) who drew this cartoon based on an idea from Dennis Pearl.
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  • August 25, 2009 Activity webinar presented by Michelle Everson, University of Minnesota and hosted by Leigh Slauson, Capital University. In a classroom setting, students can engage in hands-on activities in order to better understand certain concepts and ideas. Replicating hands-on activities in an online environment, however, can be a challenge for instructors. The purpose of this webinar is to present an applet that was created to replicate a "Post-it Note" activity commonly used in classroom sections of an undergraduate introductory statistics course at University of Minnesota. The Post-it Note activity is meant to help students develop a more conceptual understanding of the mean and the median by moving a set of Post-it Notes along a number line. During the webinar, participants have an opportunity to see and experience just how online students are able to interact with an applet named the "Sticky Centers" applet, and the webinar presents the kinds of materials and assignments that have been created to use in conjunction with this applet. The webinar ends with a preview of a newer applet that is being developed in order to replicate the famous "Gummy Bears in Space" activity (presented in Schaeffer, Gnanadesikan, Watkins & Witmer, 1996). A supplemental student handout is available for download free of charge.
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