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Estimation Principles

  • This visualization activity combines student data collection with the use of an applet to enhance the understanding of the distributions of slope and intercept in simple linear regression models. The applet simulates a linear regression plot and the corresponding intercept and slope histograms. The program allows the user to change settings such as slope, standard deviation, sample size, and more. Students will then see theoretical distributions of the slope and intercept and how they compare to the histograms generated by the simulated linear regression lines.
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  • Normality is a myth; there never has, and never will be, a normal distribution. A quote by Irish statistician and econometrician Roy C. Geary (1896 - 1983) found in "Biometrika" volume 34, 1947, page 241.

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  • I abhor averages. I like the individual case. A man may have six meals one day and none the next, making an average of three meals per day, but that is not a good way to live. A quote by American Supreme Court Justice Louis Dembitz Brandeis (1856 - 1951) as quoted in "Brandeis: A Free Man's Life" by Alpheus Thomas Mason Viking Press, 1946; page 145). The quote also appears in "Statistically Speaking: A dictionary of quotations" compiled by Carl Gaither and Alma Cavazos-Gaither.

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  • Those who fear muddy feet will never discover new paths. A quote by American writer and teacher Paul Eldridge (1888- 1982) found in his book "Maxims for a Modern Man" (Thomas Yoseloff Publishing, 1965). The quote also appears in "Statistically Speaking: A dictionary of quotations" compiled by Carl Gaither and Alma Cavazos-Gaither.

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  • Variability is the law of life, and as no two faces are the same, so no two bodies are alike, and no two individuals react alike and behave alike under the abnormal conditions which we know as disease. A quote by Canadian physician and medical educator Sir William Osler (1859 - 1919). The quote appears in William Osler: Aphorisms from his bedside teachings and writings, (Henry Schuman; 1950, page 104).

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  • A cartoon to teach about the capture-recapture method. Cartoon by John Landers (www.landers.co.uk) based on an idea and sketch from Sheila O. Weaver (University of Vermont). This is part of a three cartoon set from Dr. Weaver that took first place in the cartoon category of the 2007 A-Mu-sing competition. Free to use in the classroom and on course web sites.

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  • A cartoon to teach about the capture-recapture method to estimate population size. Cartoon by John Landers (www.landers.co.uk) based on an idea and sketch from Sheila O. Weaver (University of Vermont). This is part of a three cartoon set that took first place in the cartoon category of the 2007 A-Mu-sing competition. Free to use in the classroom and on course web sites.

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  • A cartoon to teach about the distributional assumptions in linear models. Cartoon by John Landers (www.landers.co.uk) based on an idea from Dennis Pearl (The Ohio State University). Free to use in the classroom and on course web sites.
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  • A cartoon to help emphasize that success in understanding statistics relies on practice. Cartoon by John Landers (www.landers.co.uk) based on an idea from Dennis Pearl (The Ohio State University). Free to use in the classroom and on course web sites.
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  • A cartoon for teaching about probability rules for disjoint events and how they do not apply to events that overlap. Cartoon by John Landers (www.landers.co.uk) based on an idea from Paul Rosile (Franklin County, Ohio Board of Health). Free to use in the classroom and on course web sites.
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