JSM 2005 - Toronto

Abstract #303475

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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

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