Statistical Inference & Techniques

  • This is a collection of notes that covers many topics typically included in introductory and/or intermediate statistics courses. The notes are in PDF format, and each is followed by a set of exercises (with most answers included). The site also includes some tables and a link to a StatTable calculator.
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  • May 25, 2010 Activity webinar presented by Ivan Ramler, St. Lawrence University and hosted by Leigh Slauson, Capital University. This webinar discusses an undergraduate Mathematical Statistics course project based on the popular video game Guitar Hero. The project included: 1) developing an estimator to address the research objective "Are notes missed at random?", 2) learning bootstrapping techniques and R programming skills to conduct hypothesis tests and 3) evaluating the quality of the estimator(s) under certain sets of scenarios.

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  • June 22, 2010 Activity webinar presented by Paul Roback, St. Olaf College and hosted by Leigh Slauson, Capital University. This webinar describes an in-class activity, motivated by Case Study 1.1.1 in The Statistical Sleuth, in which students compose haiku poems about statistics. Their poems are used to introduce two-sample t-tests and randomization tests. In addition, the in-class experiment leads to good discussion about experimental design issues, where students compare our design to the actual experiment described in Amabile et al.(1985) "Motivation and Creativity: Effects of Motivational Orientation on Creative Writers", Journal of Personality and Social Psychology 48(2): 393-399. I use this activity on the first day of our second course in applied statistics (Statistical Modeling), but it could easily be used in an introductory course as well. Examples of haiku poems which have resulted from this activity can be found under CAUSEweb > Resources > Fun > Poem (direct link), or at www.causeweb.org/cwis/SPT--FullRecord.php?ResourceId=1883.

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  • This is a collection of cases to demonstrate concepts of inferential statistics. Many materials are flash based, which is specifically interesting for young and beginning learners. This resource provides a simple introduction to probability and to Type I and II errors.
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  • The true logic of this world is the calculus of probabilities. This is a quote of Scottish physicist and mathematician James Clerk Maxwell (1831 - 1879). The quote is found on page 197 in volume 1 of "The Scientific Letters and Papers of James Clerk Maxwell, (James Clerk Maxwell and Peter Michael Harman, ed.)".
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  • January 26, 2010 webinar presented by Alicia Gram, Smith College, and hosted by Leigh Slauson, Capital University. This webinar describes an activity that uses data collected from an experiment looking at the relationship between two categorical variables: whether a cotton plant was exposed to spider mites; and did the plant contract Wilt disease? The activity uses randomization to explore whether there is a difference between the occurrence of the disease with and without the mites. The webinar includes a discussion of the learning goals of the activity, followed by an implementation of the activity then suggestions for assessment. The implementation first uses a physical simulation, then a simulation using technology. (Extra materials, including Fathom instructions for the simulation, available for download free of charge).

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  • Statistics are to baseball what a flaky crust is to Mom's apple pie. is a quote by American television journalist Harry Reasoner (1923 - 1991). The quote was said in a story on the news magazine show, "60 minutes."
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  • I can prove anything by statistics except the truth is a quote by British politician George Canning (1770 - 1827). The quote is found on page 587 of the 1908 book "Dictionary of Thoughts" edited by Tryon Edwards. The quote may be used to illustrate the idea that statistical inference is often geared toward demonstrating what is unlikely to be true rather than proving what is true.
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  • February 9, 2010 T&L webinar presented by Hollylynne Lee (North Carolina State University) and Todd Lee (Elon University), and hosted by Jackie Miller (The Ohio State University). A model for probabilistic reasoning will be discussed that may support students' statistical reasoning. The development of the model and instructional implications are based on theoretical considerations and empirical results from work with middle grades students. Significant time for discussion is planned to get reactions to the model as well as to discuss aspects of probability that participants believe are foundational to building statistical literacy or reasoning.
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  • A cartoon suitable for use in teaching about various graphic displays. The cartoon is number 688 (January, 2010) 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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