Multivariate Quantitative Relationships

  • A judicious man uses statistics, not to get knowledge, but to save himself from having ignorance foisted upon him. A quote of Scottish satirist and historian Thomas Carlyle (1795 - 1881) from "Chartism, Chapter II" written in 1839. A fuller version of the quote appears in "Statistically Speaking: A dictionary of quotations" compiled by Carl Gaither and Alma Cavazos-Gaither.
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  • Just think of all the billions of coincidences that don't happen. A quote attributed to American comedian and talk show host Dick Cavett (1936 - ).
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  • This lecture example discusses how two continuous variables relate to one another with a clinical example of the relationship between body mass and fasting blood sugar. It offers three questions to help readers visualize and interpret correlation coefficients.
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  • A song about the fit of linear regression, describing the difference between observed and fitted values and related aspects. May be sung to the tune of "Mexican Hat Dance" (traditional). 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 contains concepts and terms associated with linear regression. May be sung to the tune of "I Walk the Line" (Johnny Cash). Musical accompaniment realization and vocals are by Joshua Lintz from University of Texas at El Paso.

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  • A cartoon using a classic example for teaching the idea that correlation does not imply causation. Cartoon by John Landers (www.landers.co.uk) based on an idea from Dennis Pearl and Deb Rumsey (The Ohio State University). Free to use in the classroom and on course web sites.
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  • A cartoon for teaching about the key caveats of correlation and regression. 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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  • A theory can be proved by an experiment; but no path leads from experiment to the birth of a theory. A quote attributed to Physicist Albert Einstein (1879 - 1955) in the July 18, 1976 issue of "The Sunday Times." The quote also appears in Statistically Speaking: A dictionary of quotations compiled by Carl Gaither and Alma Cavazos-Gaither.
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  • The number of degrees of freedom is usually self-evident - except for the analysis of data that have not appeared in a textbook. A quote from M.I.T. professor of management David Durand (1912- 1996) Published in a letter to the editor of "The American Statistician" June, 1970 as part of a tongue-in-cheek "Dictionary for Statismagicians." The quote also appears in "Statistically Speaking: A dictionary of quotations" compiled by Carl Gaither and Alma Cavazos-Gaither.
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  • A cartoon to teach about the importance of understanding interpretation over the hand calculation of 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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