Abstract #300133

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JSM 2003 Abstract #300133
Activity Number: 205
Type: Contributed
Date/Time: Tuesday, August 5, 2003 : 8:30 AM to 10:20 AM
Sponsor: Section on Bayesian Stat. Sciences
Abstract - #300133
Title: A Hierarchical Modeling Approach to Mathematics Placement
Author(s): Kevin C. Mahoney*+
Companies: U.S. Coast Guard Academy
Address: 5 Mallard Cove, East Hampton, CT, 06424,
Keywords: regression ; hierarchical modeling
Abstract:

A counterintuitive result is addressed in data from the mathematics placement program at the United States Coast Guard Academy. Mean scores from 15 years of testing are examined for a trend, first using linear regression and then using a Bayesian hierarchical model. A careful analysis reveals that the linear regression approach overstates the significance of the trend because it ignores a nonconstant standard deviation over time. The hierarchical approach incorporates the standard deviation resulting in a more modest assessment of the trend.


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