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Statistical Topic

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  • A "12 page" tutorial that explores the liner models via excel spreadsheets. The learning module leads the user through various aspects of linear modeling. This tutorial includes a worksheet that allows students to vary the scatter (or noise) level, by adjusting the scroll bar or by clicking on the arrows, to see how the slope and intercept of line respond to the addition of scatter to the data, while monitoring the value of r^2.
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  • This applet allows the user to simulate a race where the results are based on the roll of a die. For each outcome of the die, the user chooses which player moves forward. Then that car moves forward the given number of spaces. Users can experiment with the race by determining which player will win more often based on the rules that they specify.
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  • This course is aimed at students in applied fields and assumes a prerequisite of calculus. The goal is a working knowledge of the concepts and uses of modern probability theory. A significant part of such a "working knowledge" in modern applications of mathematics is computer-dependent. The course contains mathematical problems and computer exercises. Students will be expected to write and execute programs pertinent to the material of the course. No programming experience is necessary or assumed. But the willingness to accept a computer as a tool is a requirement.
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  • This general, introductory tutorial on mathematical modeling (in pdf format) is intended to provide an introduction to the correct analysis of data. It addresses, in an elementary way, those ideas that are important to the effort of distinguishing information from error. This distinction constitutes the central theme of the material described herein. Both deterministic modeling (univariate regression) as well as the (stochastic) modeling of random variables are considered, with emphasis on the latter. No attempt is made to cover every topic of relevance. Instead, attention is focussed on elucidating and illustrating core concepts as they apply to empirical data.
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  • EXCITE is a collection of teaching materials developed by the Centers for Disease Control and Prevention (CDC) to introduce students to public health and epidemiology. Students will learn about the scientific method of inquiry, basic biostatistics, and outbreak investigation. EXCITE adapts readily to team teaching across a variety of subjects, including mathematics, social studies, history, and physical education.
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  • The applets on this page, from "Seeing Statistics," demonstrate calculations related to the normal distribution. Users can calculate z-scores and probabilities under the curve and see the area they are calculating.
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  • An applet explores the following problem: A long day hiking through the Grand Canyon has discombobulated this tourist. Unsure of which way he is randomly stumbling, 1/3 of his steps are towards the edge of the cliff, while 2/3 of his steps are towards safety. From where he stands, one step forward will send him tumbling down. What is the probability that he can escape unharmed?
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  • This applet is designed to approximate the value of Pi. It accomplishes this purpose by firing random data points at a circle inscribed within a square. The probability of a data point landing within the circle is a ratio of the circle's area to the area of the square.
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  • Allows the user to select points on a grid, select the degree of the polynomial, and provides the resulting regression equation.
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  • Allows the user to select points on a grid, select the degree of the polynomial, and provides the resulting regression equation.
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