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Lee, Won-Chan; Brennan, Robert L.; Kolen, Michael J. – 2002
This paper reviews various procedures for constructing an interval for an individual's true score given the assumption that errors of measurement are distributed as binomial. This paper also presents two general interval estimation procedures (i.e., normal approximation and endpoints conversion methods) for an individual's true scale score;…
Descriptors: Bayesian Statistics, Error of Measurement, Estimation (Mathematics), Scaling
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Lee, Won-Chan; Hanson, Bradley A.; Brennan, Robert L. – Applied Psychological Measurement, 2002
This article describes procedures for estimating various indices of classification consistency and accuracy for multiple category classifications using data from a single test administration. The estimates of the classification consistency and accuracy indices are compared under three different psychometric models: the two-parameter beta binomial,…
Descriptors: Classification, True Scores, Psychometrics, Item Response Theory
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Lee, Won-Chan; Brennan, Robert L.; Kolen, Michael J. – Journal of Educational and Behavioral Statistics, 2006
Assuming errors of measurement are distributed binomially, this article reviews various procedures for constructing an interval for an individual's true number-correct score; presents two general interval estimation procedures for an individual's true scale score (i.e., normal approximation and endpoints conversion methods); compares various…
Descriptors: Probability, Intervals, Guidelines, Computer Simulation
Brennan, Robert L. – 1990
In 1955, R. Levine introduced two linear equating procedures for the common-item non-equivalent populations design. His procedures make the same assumptions about true scores; they differ in terms of the nature of the equating function used. In this paper, two parameterizations of a classical congeneric model are introduced to model the variables…
Descriptors: Equated Scores, Equations (Mathematics), Mathematical Models, Research Design
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Hanson, Bradley A.; Brennan, Robert L. – Journal of Educational Measurement, 1990
Using several data sets, the relative performance of the beta binomial model and two more general strong true score models in estimating several indices of classification consistency is examined. It appears that the beta binomial model can provide inadequate fits to raw score distributions compared to more general models. (TJH)
Descriptors: Classification, Comparative Analysis, Equations (Mathematics), Estimation (Mathematics)
Brennan, Robert L. – 1981
This handbook treats a restricted set of statistical procedures for addressing some of the most prevalent technical issues that arise in domain-referenced testing. The procedures discussed here were chosen because they do not necessitate extensive computations. The five major sections of the paper cover: (1) item analysis procedures for using data…
Descriptors: Classification, Criterion Referenced Tests, Cutting Scores, Group Testing
Brennan, Robert L. – 1974
An attempt is made to explore the use of subjective probabilities in the analysis of item data, especially criterion-referenced item data. Two assumptions are implicit: (1) one wants to obtain a maximum amount of information with respect to an item using a minimum number of subjects; and (2) once the item is validated, it may well be administered…
Descriptors: Confidence Testing, Criterion Referenced Tests, Guessing (Tests), Item Analysis
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Brennan, Robert L. – Journal of Educational Statistics, 1991
The monograph by D. Rogosa and G. Ghandour represents a body of cohesive and comprehensive research that can be the basis of a new measurement theory combining features of generalizability theory and strong true-score theory. Principles, approaches, arguments, and conclusions are reviewed; and critical comments are offered. (SLD)
Descriptors: Behavior Patterns, Behavioral Science Research, Classroom Observation Techniques, Elementary Secondary Education
Brennan, Robert L. – 1977
Rules, procedures, and algorithms intended to aid researchers and practitioners in the application of generalizability theory to a broad range of measurement problems are presented. Two examples of measurement research are G studies, which examine the dependability of some general measurement procedure; and D studies, which provide the data for…
Descriptors: Analysis of Variance, Error of Measurement, Mathematical Models, Measurement
Brennan, Robert L. – 1974
The first four chapters of this report primarily provide an extensive, critical review of the literature with regard to selected aspects of the criterion-referenced and mastery testing fields. Major topics treated include: (a) definitions, distinctions, and background, (b) the relevance of classical test theory, (c) validity and procedures for…
Descriptors: Computer Programs, Confidence Testing, Criterion Referenced Tests, Error of Measurement