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Probability & Sampling

  • A song to be used in discussing the value of random selection in sampling and random assignment in experimentation. The lyrics were written by Mary McLellan from Aledo High School in Aledo, Texas as one of several dozen songs created for her AP statistics course. The song may be sung to the tune of the 2014 hit “All About that Bass,” by Meghan Trainor. Also, an accompanying video may be found at https://www.youtube.com/watch?v=br-5FtoYfkc

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  • A poem to illustrate the dependence between trials when sampling is without replacement. To set this poem up in the classroom, you might ask the students questions like: "If I want to put the Supreme Court Justices in a random order, I can pick one at a time without replacement. Before I pick the first Justice, do I know who it's going to be? Before I pick the last Justice, do I know who it's going to be?" The poem was written in 2017 by Larry Lesser from The University of Texas at El Paso.
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  • November 23, 2010 Activity Webinar presented by Stacey Hancock, Reed College, Jennifer Noll, Portland State University, Sean Simpson, Westchester Community College, and Aaron Weinberg, Ithaca College, and hosted by Leigh Slauson, Capital University. Extra materials available for download free of charge. Many instructors ask students to demonstrate the frequentist notion of probability using a simulation early in an intro stats course. Typically, the simulation involves dice or coins, which give equal (and known) probabilities. How about a simulation involving an unknown probability? This webinar discusses an experiment involving rolling (unbalanced) pigs. Since the probabilities are not equal, this experiment also allows the instructor to have students think about the concept of fairness within games.

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  • The idea that the examination of a relatively small number of randomly selected individuals can furnish dependable information about the characteristics of a vast unseen universe is an idea so powerful that only familiarity makes it cease to be exciting Is a quote from American Educational Statistician Helen Mary Walker (1891 - 1983). Helen Walker was the first women to serve as the president of the American Statistical Association and this quote is from her December 27, 1944 presidential address at the 104th annual meeting of the ASA in Washington, D.C. The full address may be found in the "Journal of the American Statistical Association" (1945; vol. 40, #229 p. 1-10).

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  • A cartoon to teach the idea that sampling variability depends on the size of the sample, and not on the size of the population (as long as the sample is a small part of the population). Cartoon drawn by British cartoonist John Landers based on an idea from Dennis Pearl. Free to use in the classroom and for course websites.

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  • November 14, 2006 webinar presented by Chrstine Franklin, University of Georgia, and Jessica Utts, University of California and hosted by Jackie Miller, The Ohio State University. In 2005 the American Statistical Association endorsed the recommendations of a report written by leading statistics educators, called "Guidelines for Assessment and Instruction in Statistics Education" (GAISE). The report had two parts - one for K-12 and one for the college introductory statistics course. In this webinar, two members of the report-writing team review the recommendations in the report, and provide suggestions for how to begin to implement them.

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  • A cartoon to teach about the relationship between population and sample and correspondingly between parameter and statistic. 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 teach about the value of random sampling to control bias and provide the underpinning for inference. 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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  • This pdf document contains 7 pages of random number tables and 1 page of instructions for use.
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  • This random number service allows users to generate up to 10,000 random integers with duplicates, randomized sequences without duplicates, or up to 16 kilobytes of raw random bytes. Users can also flip virtual coins and generate random bitmaps. Key word: Random Number Generator.

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