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This is the preliminary program for the 2007 Joint Statistical Meetings in Salt Lake City, Utah.

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Activity Number: 511
Type: Contributed
Date/Time: Thursday, August 2, 2007 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistical Education
Abstract - #309854
Title: A Random Walk Through ANOVA
Author(s): Daniel Kaplan*+
Companies: Macalester College
Address: Dept of Mathematics, Saint Paul, MN, 55116,
Keywords: ANOVA ; education ; statistical modeling ; graphics ; geometry
Abstract:

We often teach ANOVA as an algorithm for generating F statistics and p-values. I'll introduce another way, based on simple ideas of random walks, that makes it clear why we talk about mean squares. This way of presenting ANOVA makes clear the intimate connection between ANOVA and regression, and allows students to move easily beyond the limiting and incorrect notion that ANOVA is just a generalization of the t-test to more than two groups.


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Revised September, 2007