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Univariate Distributions

  • 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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  • This site presents several photographs from real life that demonstrate natural statistical concepts. Each picture shows a statistical distribution made by some pattern occuring in everyday life. An explanation of each picture tells what distribution is being represented and how.
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  • This text article gives a relatively short description of the concept of p-values and statistical significance. This article aimed at health professionals frames the idea of statistical significance in the setting of a weight loss program. In addition to discussing p-values and comparing them with confidence intervals, the article touches on the ideas of practical significance and the fact that the significance of 0.05 is arbitrary.
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  • The Numbers Guy examines numbers in the news, business and politics. Some numbers are flat-out wrong or biased, while others are valid and help us make informed decisions. Carl Bialik tells the stories behind the stats, in daily updates on this blog and in his column published every other Friday in The Wall Street Journal.
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  • Asked about the power of advertising in research surveys, most agree that it works, but not on them. A quote by British Journalist and author Eric Clark from his book "The Want Makers: Inside the World of Advertising", Penguin Books (1988) page 13.
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  • A cartoon to teach about the Beta distribution. Cartoon by John Landers (www.landers.co.uk) based on an idea from Dennis Pearl (The Ohio State University). The idea for a cartoon series on distributions came from Pat McCann (Franklin Universiity). Free to use in the classroom and on course web sites.
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  • A cartoon to teach about the Geometric distribution. Cartoon by John Landers (www.landers.co.uk) based on an idea from Pat McCann (Franklin Universiity). Free to use in the classroom and on course web sites.
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  • A cartoon to teach about properties of the Uniform distribution. Cartoon by John Landers (www.landers.co.uk) based on an idea from Pat McCann (Franklin Universiity). Free to use in the classroom and on course web sites.
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  • Compared to probability calculators, the traditional format of distribution tables has the advantage of showing many values simultaneously and, thus, enables the user to examine and quickly explore ranges of probabilities. This webpage includes a list of distributions and tables, including the standard normal (Z) table, student's t table, chi-square table, and F distribution tables. An animation of the density function and distribution function is shown above each distribution table to demonstrate the effects changing degrees of freedom and significance levels have on the shape of a distribution.

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  • This applet relates the pdf of the Normal distribution to the cdf of the Normal distribution. The graph of the cdf is shown above with the pdf shown below. Click "Move" and the scroll bar will advance across the graph highlighting the area under the pdf in red. The z-score is shown as well as the probability less than z (F(z)) and the probability greater than z (1-F(z)).
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