Algebra level symbolic math

  • My life is an experiment I never had a chance to properly design. The quote is from American statistical consultant Diana Ballard and is also referenced as joke #74 on Gary Remseyer's First Internet Gallery of Statistics Jokes
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  • ... statistical techniques are tools of thought, and not substitutes for thought. Quote of american philosopher Abraham Kaplan (1918-1993) appearing in "The Conduct of Inquiry" (Chandler, 1964) p. 257. Also to be found in "Statistically Speaking" the dictionary of quotations compiled by Carl Gaither and Alma Cavazos-Gaither p. 213
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  • Song describes when to use mode, mean, and median. Available at http://www.ed.uiuc.edu/courses/epsy480/songs/central_tendency.mp3
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  • Playful song has recurrent mention of the term heteroscedasticity.
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  • Song describes concepts and steps of hypothesis testing. May be sung to the tune of "Mr. Bojangles" (Jerry Jeff Walker). Musical accompaniment realization and vocals are by Joshua Lintz from University of Texas at El Paso.
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  • Song is simply a quick jingle to help students recall the conceptual interpretation of a standard score (or, z-score), which in turn should help make sense of the formula. May be sung to tune of "Row, Row, Row Your Boat". Recorded June 26, 2009 at the OSU Whisper Room: Larry Lesser, vocals/guitar; Justin Slauson, engineer.
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  • Song is simply a quick jingle to help students recall the conceptual interpretation of a p-value. May be sung to tune of "Row, Row, Row Your Boat". Recorded June 26, 2009 at the OSU Whisper Room: Larry Lesser, vocals/guitar; Justin Slauson, engineer. This song is part of an NSF-funded library of interactive songs that involved students creating responses to prompts that are then included in the lyrics (see www.causeweb.org/smiles for the interactive version of the song, a short reading covering the topic, and an assessment item).

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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 cartoon that can be used in teaching about summary statistics. 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.
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