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Elementary Probability

  • Everyday we have specific routines we engage in. Many of these routines are tailored to preventing us from becoming victims of crime. We do things like lock our doors, watch where we walk at night, or avoid walking alone. We take these actions because at some level we are afraid of the possibility of being a victim of crime. Although we may not consciously think about it, these routines may be influenced by a variety of factors. What factors might make some individuals more afraid than others?

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  • This dataset comes from a study on 200 rats (100 of each gender) which were given one of 5 treatments, and then allowed to mate. At delivery, information on the pups was collected, and a sample of 8 pups (4 of each gender) was chosen from each litter. Body weights for these pups were recorded once a week for three weeks. Questions this study focused on refer to the safety of the treatments. A text file version of the data is found in the relation link.
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  • This dataset comes from a study on two treatment sequences (AB, BA) given to 14 healthy male volunteers randomly assigned to a two-period crossover design. Three pharmacokinetic variables were collected on the subjects at the end of each treatment period. Questions this study focused on refer to whether the treatments (A,B)are equivalent. A text file version of the data is found in the relation link.
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  • This dataset comes from a study on drug treatments of reflux disease patients. Twelve patients were assigned to a four period crossover design, and data on their disease symptoms were collected after treatment. Questions this study focused on refer to dosage of the drug. A text file version of the data is found in the relation link.
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  • This module discusses the probability of an event and relative frequency. The applet shows how empirical probability converges to theoretical probability as the sample size increases. The follow-up example includes an applet that simulates drawing differently colored balls from an urn.
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  • Song addresses the famous probability example of Birthday Problem by contrasting the often confused events of "some people matching" with "someone matches with ME". May be sung to the tune of "Happy Birthday to You" (Mildred J. Hill and Patty Smith Hill). Originally appeared in Winter 2002 "STATS". Recorded June 26, 2009 at the OSU Whisper Room: Larry Lesser, vocals/guitar; Justin Slauson, engineer.
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  • This poem, by North Carolina State University Emeritus Professor of Physics Jasper D. Memory (1935 - ) is designed to teach the difference between the probability of having a disease given a positive screening test and the probability of a positive test result given you have the disease. The poem was published in the October, 2007 issue of "Mathematics Magazine" volume 80 p. 273,
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  • Statistician's "breakup" song is filled with 2 dozen puns from a variety of (mostly first-year) statistical terms. Song is a 12-bar blues, with the words in parentheses more spoken than sung during the final 2 bars of each 12. Appeared in Winter 2002 "STATS" and Spring 2004 "The Pi".
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  • Song describes conditions for using the t distribution and mentions its inventor William Gosset (and his pseudonym, Student). May be sung to the tune of "Let it Be" (McCartney/Beatles). Musical accompaniment realization and vocals are by Joshua Lintz from University of Texas at El Paso.
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  • This article, in a series, describes a game, which tests opposing strategies through aspects of experiemental design.
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