General Rules

  • This limerick was written April 2021 by Larry Lesser of The University of Texas at El Paso to be used as a vehicle for discussing probabilities and expected values involved in playing a typical pari-mutuel lottery.  The limerick was also published in the June 2021 issue of AmStat News.

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  • This limerick was written in April 2021 by Larry Lesser of The University of Texas at El Paso to be used as a vehicle for discussing Simpson's Paradox.  The limerick was also published in the June 2021 Amstat News.

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  • A limerick to teach the inclusion-exclusion rule for finding the probability of the union of two events.  The poem was written by Marion D. Cohen from Drexel University and published in the January 2021 issue (vol 11 number 1) of the Journal of Humanistic Mathematics.

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  • A limerick to teach the addition rule for finding the probability of the union of disjoint (mutually exclusive) events.  The limerick was written by Marion D. Cohen from Drexel University and published in the  January 2021 (vol. 11, issue 1) Journal of Humanistic Mathematics.

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  • A cartoon suitable for use in teaching about risks and the problem with making post hoc comparisons. The cartoon is number 2107 (February, 2019) from the webcomic series at xkcd.com created by Randall Munroe. Free to use in the classroom and on course web sites under a Creative Commons attribution-non-commercial 2.5 license.

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  • A cartoon suitable for use in teaching about Bayes Theorem (an obvious follow-up exercise is to ask what “P(C)” would have to be to make the “Modified Bayes Theorem” correct). The cartoon is number 2059 (October, 2018) from the webcomic series at xkcd.com created by Randall Munroe. Free to use in the classroom and on course web sites under a creative commons attribution-non-commercial 2.5 license.

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  • Probabilistic Risk Assessment (PRA) is a comprehensive, structured, and logical analysis method aimed at identifying and assessing risks in complex technological systems for the purpose of cost-effectively improving their safety and performance. NASA’s objective is to better understand and effectively manage risk, and thus more effectively ensure mission and programmatic success, and to achieve and maintain high safety standards at NASA. This PRA Procedures Guide, in the present second edition, is neither a textbook nor an exhaustive sourcebook of PRA methods and techniques. It provides a set of recommended procedures, based on the experience of the authors, that are applicable to different levels and types of PRA that are performed for aerospace applications. 

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  • This presentation was given by Aneta Siemiginowska at the 4th International X-ray Astronomy School (2005), held at the Harvard-Smithsonian Center for Astrophysics in Cambridge, MA.  

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  • Our online calculators and converters can help you in many daily tasks that require calculations to complete.

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  • This presentation is a part of a series of lessons on the Analysis of Categorical Data. This lecture covers the following: partial/conditional tables, confounding, types of independence (mutual, joint, marginal, and conditional), identifiability constraints, partial odds ratios, hierarchical log-linear model, pairwise interaction log-linear model, conditional independence log-linear model, goodness of fit, and model building.

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