Linear Models

  • If the experiments be quite simple the question may be without great importance; but when their requirements as to time or expenditure come into account the problem arises, how the observations should be chosen in order that a limited number of them may give the maximum amount of knowledge. is a quote by Danish Statistician Kirstine Smith (1878 - 1939). The quote appears in the introduction to her 1918 article on optimal experimental design in the journal Biometrika (the first such article in the literature).
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  • ... if the difference isn't different enough to make a difference, what's the difference? is a quote by American agricultural statistician Victor Chew (1923 - ). The quote is found in his 1980 paper "Testing differences among means: correct interpretation and some alternatives" ("HortScience" pages 467-470). The quote can be used in discussions of practical significance versus statistical significance.
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  • Oh, well, this would be one of those circumstances that people unfamiliar with the law of large numbers would call a coincidence. is a quote spoken by Sheldon Cooper (2007 - ) a character on the CBS comedy show "The Big Bang Theory" played by Jim Parsons (1973 - ). The quote occurred in Season 1 episode 4 that first aired in October, 2007.
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  • Avoid Linear extrapolation ... The turkey's first 1000 days are a seemingly unending succession of gradually improving circumstances confirmed by daily experience. What happens on Day 1001? Thanksgiving. The quote is by John E. Sener (1954 - ) of Sener Learning services found in the on-line article "Strategies for Effective `20/20 Vision` -- #1: Avoid Linear Extrapolation" at www.senerlearning.net/?q=node/176. The quote is paraphrasing the turkey metaphor made famous by Bertrand Russell and Nassim Nicholas Taleb.
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  • A cartoon suitable for use in teaching about linear estimates (also references median and bell-curve). The cartoon is number 314 (September, 2007) from the webcomic series at xkcd.com created by Randall Munroe. Free to use in the classroom and on course web sites under a creative commons attribution-non-commercial 2.5 license.

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  • This is my take on the ubiquitous M&Ms counting activity. Each student records the color proportions in a fun-size bag of M&Ms. We pool the class data and run a Chi-Square goodness-of-fit test to determine whether or not the color proportions match those claimed on the manufacturer's website. We consistently find that the proportions do not match. The blue M&Ms, in particular, are underrepresented. This activity also includes a review of the 1-proportion z confidence interval.

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  • A joke about the tendency for Math and Statistics textbooks to have an abundance of homework style problems.

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  • Song about the benefits of the Bayesian approach to statistics. May be sung to the tune of Sonny and Cher's 1965 song "I Got You Babe." Lyrics by Matthew Finkelman (December, 2003). This song is part of the "Stanford Statistics Songbook" found at www.bscb.cornell.edu/~hooker/StanfordStatisticsSongbook.pdf Free to use for non-commercial educational purposes. Contact author to use in publications or for commercial purposes. Musical accompaniment realization by Joshua Lintz male vocals by Joshua Lintz and female vocals by Marianna Sandoval from University of Texas at El Paso.

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  • Song covering a variety of statistical topics. May be sung to the tune of John Lennon's 1969 song "Give Peace a Chance." Lyrics by Armin Schwartzman (December, 2003). This song is part of the "Stanford Statistics Songbook" found at www.bscb.cornell.edu/~hooker/StanfordStatisticsSongbook.pdf Free to use for non-commercial educational purposes. Contact author to use in publications or for commercial purposes. Musical accompaniment realization and vocals are by Joshua Lintz from University of Texas at El Paso.

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  • Song about the pleasure of teaching statistics when the class is engaged. May be sung to the tune of John Lennon and Paul McCartney's 1963 song "I Want to Hold Your Hand." Lyrics by Armin Schwartzman (December, 2003). This song is part of the "Stanford Statistics Songbook" found at www.bscb.cornell.edu/~hooker/StanfordStatisticsSongbook.pdf Free to use for non-commercial educational purposes. Contact author to use in publications or for commercial purposes. Musical accompaniment realization and vocals are by Joshua Lintz from University of Texas at El Paso.

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