Significance Testing Principles

  • A joke to be used in teaching about the use of randomization in experiments or about the Pearson correlation coefficient. The idea for the joke came from Lawrence Mark Lesser of The University of Texas at El Paso in 2012.

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  • A poem to teach about various types of variables (categorical versus numerical versus summary statistics) and differentiating them from other concepts like the outcomes in the sample space or the sample size. The poem was composed by Lawrence Mark Lesser of The University of Texas at El Paso.
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  • No generalizing beyond the data, no theory. And no theory, no insight. And if no insight, why do research? is a quote by Canadian Professor of Management Studies Henry Mintzberg (1939 - ), McGill University. The quote appears in his 2005 paper "Developing Theory about the Development of Theory" that appeared in the edited volume "Great Minds in Management: The process of theory development" (K. Smith and M. Hutt, eds.), Oxford University Press.
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  • The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient. is a quote by Polish-French-American mathematician and developer of fractal geometry Benoit B. Mandelbrot (1924 - 2010). The quote appears in his 1982 book "The Fractal Geometry of Nature" W.H. Freeman
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  • A song that reviews several statistical topics written by University of Texas at El Paso professor Lawrence M. Lesser. The song is a parody of "We Are the Champions" written by Freddy Mercury that was popularized by the British rock group Queen in their 1977 Album "ewe of the World."
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  • Partial to You (A multiple Regression Love Song) is an original song about partial correlation in multiple regression by University of Texas at El Paso Professor Lawrence Mark Lesser. The song won third place in the song category in the 2013 CAUSE A-Mu-sing contest. Dr. Lesser sings the song in the accompanying MP3 audio file.
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  • A song that might be used in pre-service courses for statistics teachers (or professional development workshops) to point out why using technology is preferred to training students to use Normal Probability Tables. The lyrics were composed by Robert Carver of Stonehill College. May be sung to the tune of the "Empty Chairs at Empty Tables" written by Schoenberg and Kretmer for the play Les Miserables. The lyrics won an honorable mention in the CAUSE 2013 A-Mu-sing contest. Musical accompaniment realization and vocals are by Joshua Lintz from University of Texas at El Paso.
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  • A cartoon for teaching about using the t-distribution for inference when the standard deviation is unknown. The cartoon was created by Karen Banks from University of Indiana using the software at www.bitstrips.com. The cartoon also won a prize in the CAUSE 2013 A-Mu-sing contest.
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  • Even trained statisticians often fail to appreciate the extent to which statistics are vitiated by the unrecorded assumptions of their interpreters is a quote by Irish playwright George Benard Shaw (1856 - 1950). The quote may be found in the author's preface to his 1906 play "The Doctor's Dilemma", that contains an essay on his views of statistics and quantitative literacy amongst the public.

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  • A poem useful in teaching aspects about hypothesis testing, especially the caveat that unimportant differences may be deemed significant with a large sample size. The poem was written by Mariam Hermiz, a student at University of Toronto, Mississauga in Fall 2010 as part of an assignment in a biometrics class taught by Helene Wagner. The poem was awarded first place in the poetry category of the 2011 CAUSE A-Mu-sing contest.

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