JSM 2005 - Toronto

Abstract #303475

This is the preliminary program for the 2005 Joint Statistical Meetings in Minneapolis, Minnesota. Currently included in this program is the "technical" program, schedule of invited, topic contributed, regular contributed and poster sessions; Continuing Education courses (August 7-10, 2005); and Committee and Business Meetings. This on-line program will be updated frequently to reflect the most current revisions.

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 74
Type: Contributed
Date/Time: Sunday, August 7, 2005 : 8:00 PM to 9:50 PM
Sponsor: Section on Statistical Education
Abstract - #303475
Title: Understanding the One-way, Random Effect ANOVA
Author(s): Eric Suess*+ and Bruce E. Trumbo and Antonio P. Curtis and Yun Jiang
Companies: California State University, East Bay (Hayward Hills Campus) and California State University, East Bay (Hayward Hills Campus) and California State University, Hayward and California State University, Eastbay
Address: Department of Statistics, Hayward, CA, 94542, United States
Keywords: Analysis of variance ; random effects model ; estimation of variance components ; teaching ; Bayesian estimation ; Gibbs sampler
Abstract:

The one-way, random-effect ANOVA model is presented and several classical datasets are analyzed and discussed from three points of view: the standard ANOVA table, F-test, and method-of-moments estimates of variance components, which can lead to negative estimates; maximum likelihood estimates of variance components; and Bayesian probability intervals for variance components based on flat priors and computed using a Gibbs sampler. All computations are done in S. Level and methods are appropriate for presentation to advanced undergraduate and first-year MS students.


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Revised March 2005