Abstract #300047

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JSM 2003 Abstract #300047
Activity Number: 117
Type: Topic Contributed
Date/Time: Monday, August 4, 2003 : 10:30 AM to 12:20 PM
Sponsor: Social Statistics Section
Abstract - #300047
Title: Interpretations of Coefficients and Indices in Generalizability Theory
Author(s): Robert L. Brennan*+
Companies: University of Iowa
Address: N297 Lindquist Ctr., Iowa City, IA, 52242,
Keywords: generalizability theory ; error variances ; universe score variance ; indices ; coefficients ; agreement
Abstract:

Generalizability theory offers an extensive conceptual framework and a powerful set of statistical procedures for addressing numerous measurement issues. Although the statistical aspects of generalizability theory are undeniably important, perhaps the most distinguishing feature of the theory is its conceptual framework, which permits a multifaceted perspective on measurement error and its components. This paper begins with a brief discussion of the history of generalizability theory, G and D study designs, fixed vs. random facets, the notion of universe of generalization and universe score, various types of error variances, and distinctions between univariate and multivariate generalizability theory. The paper focuses primarily on various types of indices that relate (composite) universe score variance and (composite) error variances, including generalizability coefficients, phi coefficients, signal/noise ratios, and error-tolerance ratios. Attention is restricted primarily to interpretations of these coefficients and indices (e.g., as measures of agreement) in both univariate and multivariate generalizability theory.

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