Significance Testing Principles

  • This visualization activity combines student data collection with the use of an applet to enhance the understanding of the distributions of slope and intercept in simple linear regression models. The applet simulates a linear regression plot and the corresponding intercept and slope histograms. The program allows the user to change settings such as slope, standard deviation, sample size, and more. Students will then see theoretical distributions of the slope and intercept and how they compare to the histograms generated by the simulated linear regression lines.
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  • This in-class demonstration combines real world data collection with the use of the applet to enhance the understanding of sampling distribution. Students will work in groups to determine the average date of their 30 coins. In turn, they will report their mean to the instructor, who will record these. The instructor can then create a histogram based on their sample means and explain that they have created a sampling distribution. Afterwards, the applet can be used to demonstrate properties of the sampling distribution. The idea here is that students will remember what they physically did to create the histogram and, therefore, have a better understanding of sampling distributions.
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  • A joke about the need for students to explain how they arrived at the answers they provide on exams.

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  • This limerick was written by Dr. Nyaradzo Mvududu of the Seattle Pacific University School of Education. The poem was given an honorable mention in the 2007 A-Mu-sing competition.

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  • A cartoon to teach how statistics helps to isolate the underlying causes behind the difference between comparison groups. 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 cartoon to review key themes and caveats in introductory 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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  • A cartoon that might accompany a discussion about the use and misuse of significance tests like the T-Test. 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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  • It is commonly believed that anyone who tabulates numbers is a statistician. This is like believing that anyone who owns a scapel is a surgeon. A quote by American Statistician Robert Hooke (1918 - ) from page 1 of his book "How to Tell the Liars from the Statisticians" published by Marcell-Deckker, 1983.
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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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  • The generation of random numbers is too important to be left to chance. The title of a 1969 article by American Mathematician and civil rights activist Robert R. Coveyou (1915 - 1996). ("Appl. Math.," 3 p. 70-111)
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