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Activity Number: 132
Type: Topic Contributed
Date/Time: Monday, August 7, 2006 : 10:30 AM to 12:20 PM
Sponsor: Section on Health Policy Statistics
Abstract - #305344
Title: A Comparison of Two Confidence Interval Approaches on the Dependability Coefficient in a Two-Factor Crossed Design
Author(s): Joseph Cappelleri*+ and Naitee Ting
Companies: Pfizer Inc. and Pfizer Inc.
Address: Eastern Point Road, Groton, CT, 06340,
Keywords: generalizability theory ; variance components ; confidence intervals ; modified large-sample ; analysis of variance ; dependability coefficient
Abstract:

Generalizability theory employs analysis-of-variance methods and capitalizes on variance components in allowing a researcher to untangle multiple sources of error variance. For decisions based on the absolute level of performance among individuals, the dependability coefficient---a ratio of variance components---is used as a measure of reliability. A simulation study is conducted to investigate and compare the confidence interval coverage for the dependability coefficient of two modified large-sample approaches in a two-factor (one-facet) crossed design. One is proposed by Arteaga, Jeyaratnam, and Graybill (AJG) and another proposed by Cappelleri and Ting (CT). Both methods meet the nominal coverage, but the CT method tends to be more accurate and has a shorter interval width, making it preferable. Both methods are illustrated with examples.

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