Probability

  • The song summarizes the controversy about statistically adjusting the United States decennial census for undercount. May be sung to the tune of "Annie's Song" (John Denver). Appeared in Autumn 2001 "Teaching Statistics" and Winter 2002 "STATS". Recorded June 26, 2009 at the OSU Whisper Room: Larry Lesser, vocals/guitar; Justin Slauson, engineer.
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  • Joke of unknown authorship quoted in H.H. Friedman, L.W. Friedman, and T. Amoo, "Using Humor in the Introductory Statistics Course," "Journal of Statistics Education" volume 10, #3 (2002)
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  • Song invokes tradeoffs and pitfalls of there being (at least) two kinds of average: mean and median. May be sung to tune of "Love and Marriage" (Sammy Cahn and Jimmy Van Heusen). Musical accompaniment realization and vocals are by Joshua Lintz from University of Texas at El Paso.
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  • During this simulation activity, students generate sampling distributions of the sample mean for n = 5 and n = 50 with Fathom 2 and use these distributions to confirm the Central Limit Theorem. Students sample from a large population of randomly selected pennies. Given that the variable of interest is the age of the pennies, which has a geometric distribution, this is a particularly convincing demonstration of the Central Limit Theorem in action. This activity includes detailed instructions on how to use Fathom to generate sampling distributions. The author will provide the Fathom data file upon request.
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  • A statistics realted lightbulb joke connected to a key percentile of the normal curve.

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  • This article, in a series, describes a game, which tests opposing strategies through aspects of experiemental design.
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  • This article describes a method to calculate the least squares line algebraically. First, the author uses a numeric example, which uses calculus, then describes a simpler algebraic method.
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  • The following exercise can illustrate the problem of bias in estimators to students in statistics courses. In some advanced courses an alternative estimator may be presented and properties of this estimator may be investigated via Monte Carlo studies.
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  • A specially-designed statistical literacy course is needed for college students in majors that don't require statistics or mathematics. This paper suggests that key topics in conditional probability, multivariate regression and the vulnerability of statistical significance to confounding should be included and presents some new ways to teach these ideas.
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  • This paper presents three graphs that are used in teaching students majoring in business and the humanities. These graphs show the influence of confounding, the meaning of statistical significance, and the influence of confounding on statistical significance.
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