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Abstract Details
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Activity Number:
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522
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Type:
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Contributed
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Date/Time:
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Wednesday, August 3, 2011 : 10:30 AM to 12:20 PM
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Sponsor:
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Section on Statistical Education
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| Abstract - #301286 |
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Title:
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Basic Statistics with Calculus: Augmenting the Familiar
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Author(s):
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Robert Jernigan*+
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Companies:
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American University
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Address:
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4400 massachusetts ave, NW, washington, DC, 20016,
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Keywords:
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simulation ;
probability ;
modeling ;
statistics education ;
bivarate pdf
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Abstract:
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A bachelor's degree program in mathematics and economics has brought first year students with AP credit into this new course. Students with very basic calculus tools (optimizing a function and finding the area under a polynomial) follow traditional basic statistics topics augmented with calculus tools and online software. For example, sums of absolute and squared deviations are examined in simulations to find the median and the mean, optimal histogram bin widths are found, and least squares estimates are derived. Probability is explored through simulations and calculus of pdfs, moments, and only the use of the moment generating functions. Joint distributions are illustrated with simulated data (double integrals are not used, nor transformations needing jacobians). Overall students see their calculus skills put to work in statistics.
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Authors who are presenting talks have a * after their name.
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