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Brennan, Robert L.; Kim, Stella Y.; Lee, Won-Chan – Educational and Psychological Measurement, 2022
This article extends multivariate generalizability theory (MGT) to tests with different random-effects designs for each level of a fixed facet. There are numerous situations in which the design of a test and the resulting data structure are not definable by a single design. One example is mixed-format tests that are composed of multiple-choice and…
Descriptors: Multivariate Analysis, Generalizability Theory, Multiple Choice Tests, Test Construction
Brennan, Robert L. – Applied Measurement in Education, 2011
Broadly conceived, reliability involves quantifying the consistencies and inconsistencies in observed scores. Generalizability theory, or G theory, is particularly well suited to addressing such matters in that it enables an investigator to quantify and distinguish the sources of inconsistencies in observed scores that arise, or could arise, over…
Descriptors: Generalizability Theory, Test Theory, Test Reliability, Item Response Theory
Brennan, Robert L. – Educational and Psychological Measurement, 2007
This article provides general procedures for obtaining unbiased estimates of variance components for any random-model balanced design under any bootstrap sampling plan, with the focus on designs of the type typically used in generalizability theory. The results reported here are particularly helpful when the bootstrap is used to estimate standard…
Descriptors: Generalizability Theory, Error of Measurement, Statistical Analysis
Tong, Ye; Brennan, Robert L. – Educational and Psychological Measurement, 2007
Estimating standard errors of estimated variance components has long been a challenging task in generalizability theory. Researchers have speculated about the potential applicability of the bootstrap for obtaining such estimates, but they have identified problems (especially bias) in using the bootstrap. Using Brennan's bias-correcting procedures…
Descriptors: Error of Measurement, Generalizability Theory, Computation, Simulation

Brennan, Robert L. – Educational Measurement: Issues and Practice, 2000
Reviews some of the more salient conceptual features of generalizability (G) theory. Provides a framework for considering some misconceptions about G theory. Focuses on particularly prevalent or serious misconceptions. G theory provides a rich conceptual framework and tools for working with a defined universe, but it does not tell an investigator…
Descriptors: Generalizability Theory, Models, Research Methodology

Brennan, Robert L. – Applied Psychological Measurement, 1998
Provides a comprehensive and integrated treatment of both conditional absolute standard errors of measurement (SEM) and conditional relative SEMs from the perspective of generalizability theory. Illustrates the approach with examples from commercial standardized tests. Examples support the conclusion that both types of conditional SEMs tend to be…
Descriptors: Error of Measurement, Generalizability Theory, Raw Scores, Standardized Tests

Brennan, Robert L. – Applied Psychological Measurement, 2000
Reviews relevant aspects of generalizability theory related to performance assessments and discusses the role of various facets in assessing the generalizability of performance assessments. Also considers some popular estimates of reliability for performance assessments from the perspective of generalizability theory. (SLD)
Descriptors: Estimation (Mathematics), Evaluation Methods, Generalizability Theory, Performance Based Assessment
Bock, R. Darrell; Brennan, Robert L.; Muraki, Eiji – Applied Psychological Measurement, 2002
In assessment programs where scores are reported for individual examinees, it is desirable to have responses to performance exercises graded by more than one rater. If more than one item on each test form is so graded, it is also desirable that different raters grade the responses of any one examinee. This gives rise to sampling designs in which…
Descriptors: Generalizability Theory, Test Items, Item Response Theory, Error of Measurement

Brennan, Robert L. – Educational Measurement: Issues and Practice, 1997
The history of generalizability theory (G theory) is told from the perspective of one researcher's experiences, describing psychometric and scientific perspectives that influenced the development of G theory and its adoption. Work that remains to be done in the field is outlined. (SLD)
Descriptors: Educational Testing, Generalizability Theory, Measurement, Psychometrics

Gao, Xiaohong; Brennan, Robert L. – Applied Measurement in Education, 2001
Studied the sampling variability of estimated variance components using data collected over several years for a listening and writing performance assessment and evaluated the stability of estimated measurement precision. Results indicate that the estimated variance components varied from one year to another and suggest that the measurement…
Descriptors: Estimation (Mathematics), Generalizability Theory, Listening Comprehension Tests, Performance Based Assessment

Brennan, Robert L. – Journal of Educational Measurement, 1995
Generalizability theory is used to show that the assumption that reliability for groups is greater than that for persons (and that error variance for groups is less than that for persons) is not necessarily true. Examples are provided from course evaluation and performance test literature. (SLD)
Descriptors: Course Evaluation, Decision Making, Equations (Mathematics), Generalizability Theory
Brennan, Robert L. – 1993
Not infrequently, investigators assume that reliability for groups is greater than reliability for persons, or that the error variance for groups is less than that for persons. Using generalizability theory, it is shown that this "conventional wisdom" is not necessarily true. Examples are provided from the course-evaluation and the…
Descriptors: Comparative Analysis, Course Evaluation, Generalizability Theory, Measurement Techniques

Brennan, Robert L. – Applied Measurement in Education, 1992
A conceptual framework and heuristic model for considering the existence, magnitude, and consequences of context effects are presented through an extension of some generalizability theory concepts. Context effects are often misunderstood, and current measurement models have serious limitations for examining them. Their importance needs to be…
Descriptors: Adaptive Testing, Context Effect, Equated Scores, Equations (Mathematics)
Kreiter, Clarence D.; Yin, Ping; Solow, Catherine; Brennan, Robert L. – Advances in Health Sciences Education, 2004
Purpose: Determining the valid and fair use of the interview for medical school admissions is contingent upon a demonstration of the reproducibility of interview scores. This study seeks to establish the generalizability of interview scores, first assessing the existing research evidence, and then analyzing data from a non-experimental independent…
Descriptors: Evidence, Generalizability Theory, Replication (Evaluation), Reliability

Brennan, Robert L.; Johnson, Eugene G. – Educational Measurement: Issues and Practice, 1995
The application of generalizability theory to the reliability and error variance estimation for performance assessment scores is discussed. Decision makers concerned with performance assessment need to realize the restrictions that limit generalizability such as limitations that lead to reductions in the number of tasks possible, rater quality,…
Descriptors: Decision Making, Educational Assessment, Error of Measurement, Estimation (Mathematics)
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