Probability

  • ;;; statistics is not a branch of mathematics. Indeed so; the whole of applied mathematics is merely a branch of statistics in which random error is reduced to zero. This a quote from Statistician and former associate director of the Census Bureau and ASA President Barbara Bailar (1935 - ). The quote is found in the January 1988 "College Mathematics Journal" as part of her written response to David Moore's article "Should Mathematicians Teach Statistics?."
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  • Many introductory Statistics courses consist of two main components: lecture sections and computer laboratory sections. In the computer labs, students often review fundamental course concepts, learn to analyze data using statistical software, and practice applying their knowledge to real world scenarios. Lab time could be better utilized if students arrived with 1) prior exposure to the core statistical ideas, and 2) a basic familiarity with the statistical software package. To achieve these objectives, PreLabs have been integrated into an introductory statistics course. A simple screen capture software (Jing) was used to create videos. The videos and a very short corresponding assignment together form a PreLab and are made available to students to access at appropriate times in the course. Some PreLabs were created to expose the students to statistical software details. Other PreLabs incorporate an available online learning resource or applet which allows students to gain a deeper understanding of a course concept through simulation and visualization. Not all on-line learning resources are ready to use 'as in' in a course. Some may be lacking a preface or description on how they are to be used; others may use slightly different notation or language than your students are accustomed to; a few may even contain an error or item that needs some clarification. One solution to such difficulties was to create a video wrapper so students can see how the applet works while receiving guidance from the instructor. In this webinar we will share the success story of how one introductory Statistics course integrated these video wrappers into the course and the discuss other possible applications.

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  • A cartoon to teach the idea that the mean of a distribution is found by integrating xf(x).
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  • This anecdote about luck and the horseshoe is found in "Bartlett's Book of Anecdotes" (2000: page 68).
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  • Most accidents in well-designed systems involve two or more events of low probability occurring in the worst possible combination. is a quote by American systems engineering expert Robert E. Machol (1917 - 1998). The quote is found in his 1975 column "Principles of Operations Research" for the journal "Interfaces" vol. 5, pages 53-54 (this column was titled "The Titanic Coincidence."
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  • Certitude is not the test of certainty. We have been cock-sure of many things that were not so. is a quote of American Supreme Court Justice Oliver Wendell Holmes, Jr. (1841 - 1935). The quote is found in an article written by Justice Holmes in 1918 for the "Harvard Law Review" v. 32, page 40. The quote is also found in the book "Statistically Speaking, a Dictionary of Quotations" by Carl Gaither and Alma Cavazos-Gaither.
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  • I bet on a horse at ten-to-one. It didn't come in until half-past five. is a quote by comedian and violinist Henny Youngman (1906 - 1998).
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  • Inside every nonBayesian there is a Bayesian struggling to get out. is a quote by British Bayesian Statistician Dennis V. Lindley (1923- ). The quote is also cited on page 497 of E.T. Jaynes 2003 book "Probability Theory: The Logic of Science".
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  • This joke can be used in a discussion of how sample size affects the reliability of the sample mean. The joke may be found amongst the extensive Science Jokes resources at www.newyorkscienceteacher.com
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  • December 12, 2006 webinar presented by Michelle Everson, University of Minnesota, and hosted by Jackie Miller, The Ohio State University. This webinar focuses on describing an introductory statistics course that is taught completely online. The structure of this course is described, and samples of different student assignments and activities are presented. Assessment data and student feedback about the course are also presented. Discussion focuses on issues that must be considered when developing and administering an online course, such as the instructor's role in the online course and ways to create an active learning environment in an online course.

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