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Stochastic Processes

  • Averages don't always reveal the most telling realities. You know, Shaquille O'Neal and I have an average height of 6 feet. is a quote from American political economist and former Secretary of Labor, Robert B. Reich (1946 - ). The quote was first published on October 6, 1994 in the Business section of "The Chicago Tribune". Robert Reich is 4 foot 10 inches tall. (Picture of Robert Reich is by Michael Collopy)
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  • Most real life statistical problems have one or more nonstandard features. There are no routine statistical question; only questionable statistical routines. is a quote by British Statistician Sir David R. Cox (1924 - ). The quote may be found on page 240 in Christopher Chatfield's 1991 article "Avoiding Statistical Pitfalls" in "Statistical Science".
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  • Do not make things easy for yourself by speaking or thinking of data as if they were different from what they are; and do not go off from facing data as they are, to amuse your imagination by wishing they were different from what they are. Such wishing is pure waste of nerve force, weakens your intellectual power, and gets you into habits of mental confusion. is a quote by English mathematician and mathematics educator Mary Everest Boole (1832-1916). The quote is found on page 7 of her 1909 book "Philosophy and Fun of Algebra", (C.W. Daniel, Ltd.) written to bring then modern mathematical ideas to children. The book is available online through Project Gutenberg at www.gutenberg.org/files/13447/13447-pdf.pdf
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  • A cartoon to use when talking about confidence intervals. 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 use in teaching about the dangers of extrapolation in the context of predicting the future. 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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  • Cartoon to be used in talking about probability models (the process of drawing objects from an urn as a basic probability model goes back at least to Jacob Bernoulli's 1713 paper Ars conjectandi). 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 sketch by Anastasia Mandel reinterpreting Government Bureau by George Tooker (1956) with the statistical caption "Queuing theory and implementation." This is part of a collection of sketches by Anastasia Mandel and their accompanying statistical captions discussed in the paper "How art helps to understand statistics" (Model Assisted Statistics and Applications, 2009) by Stan Lipovetsky and Igor Mandel in volume 4 pages 313-324. Free to use in classrooms and on course websites.
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  • Uncertainty is the only certainty there is, and knowing how to live with insecurity is the only security. is a quote by American mathematician and Temple University professor John Allen Paulos (1945 - ). The quote is found in his 2003 book "A Mathematician Plays the Stock Market" where he is referencing something told to him by his father.
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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 might be used when presenting a coin flip as a canonic example of a simple experiment in introducing probability concepts. The cartoon is #16 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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