Probability

  • This applet is designed to allow users to explore the relationship between histograms and the most typical summary statistics. The user can choose from several types of histograms (uniform, normal, symmetric, skewed, etc.), or can create their own by manipulating the bars of the histogram. The statistics available for display are mean, median, mode, range, standard deviation, and interquartile range. Also available is a "Practice Guessing" option, in which the values of the statistics are hidden until the user has entered guesses for each value.
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  • This java applet provides students with opportunities to visualize the Monty Hall paradox (i.e., the famous "three-door" problem often discussed in introductory statistics courses). By going through the simulation and reading the accompanying materials, students can better understand concepts related to probability, and they can also see the need to gather data in order to test theories about what might happen under particular conditions (especially since the outcome of the Monty Hall problem tends to contradict students' initial intuitions).
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  • In comparing the deaths of one hospital with those of another, any statistics are justly considered absolutely valueless which do not give the ages, the sexes and the diseases of all the cases. is a quote by British nursing pioneer and statistician Florence Nightingale (1820 - 1910). The quote appears on page 59 of her 1859 book "Notes on Nursing: What It Is and What It Is Not".
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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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  • A cartoon that can be used in teaching about random walks. 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 can be used in teaching about Machine Learning estimation techniques. 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 can be used in teaching about random walks. 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. (note - in the U.K. the word "redundancy" in labor statistics refers to people who have been laid-off because their job no longer exists).
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  • A cartoon that can be used in teaching about forced choice survey questions. 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. (note - the Tower of Suurhusen with a tilt angle of 5.19 degrees is listed in the Guiness Book of World Records as having the greatest title amongst all leaning towers in the world)
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  • This tool provides individuals with opportunities to quiz themselves on levels of measurement in a game-like environment much like "Who Wants to be a Millionaire."
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  • A cartoon to teach the importance of including error bars to show the level of chance variation - as opposed to showing only the possibly strong trend that might be shown by averages. The cartoon is #22 in the "Life in Research" series at www.vadio.com. Free to use with attribution in the classroom or on course websites.
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