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Woodhouse, Brian; Jackson, Paul H. – Psychometrika, 1977
Finding and interpreting lower bounds for reliability coefficients for tests with non-homogeneous items has been a problem for psychometricians. A computer search procedure is developed for locating such a lower bound in a variety of settings. (Author/JKS)
Descriptors: Computer Programs, Mathematical Models, Measurement, Test Interpretation
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Aldag, Ramon J.; Brief, Arthur P. – Human Relations, 1978
Researchers have generally assumed overall job satisfaction to be an additive function of weighted job satisfaction facet scores. This paper considers the linear compensatory model as well as two nonlinear alternatives. Available from: Ramon J. Aldag, University of Wisconsin, 1155 Observatory Drive, Madison, Wisconsin 53706. (Author)
Descriptors: Job Satisfaction, Mathematical Models, Measurement Techniques, Multiple Regression Analysis
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Pratt, Allan D. – Journal of the American Society for Information Science, 1977
An index of concentration for rank-frequency distributions is proposed which permits comparison of subject and journal concentration in various fields. Applications of the measure to different aspects of bibliometrics are suggested. (Author)
Descriptors: Comparative Analysis, Intellectual Disciplines, Mathematical Models, Measurement
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Aiken, Lewis R. – Educational and Psychological Measurement, 1987
Formulas for transforming scores and statistics on a rating scale having any number of categories to a scale having a different number of categories are described. To illustrate the use of one of the formulas, the means and variances of items on six forms of a course evaluation questionnaire were compared. (Author/LMO)
Descriptors: Mathematical Models, Rating Scales, Scoring, Statistical Studies
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Bergman, Lars R.; El-Khouri, Bassam – Educational and Psychological Measurement, 1987
A program named EXACON is presented which performs exact cellwise analyses of two-way contingency tables. One-tailed probabilities are computed for the observed frequency of each cell according to two different models. Even though exact probabilities are computed, EXACON does not demand much computer time even for fairly large samples. (Author/LMO)
Descriptors: Computer Software Reviews, Input Output, Mathematical Models, Minicomputers
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Tremblay, Victor J.; Wohl, Lawrence A. – Journal of Economic Education, 1988
Formally states the Thick Point Theorem and explicates the proof. Explores the key point for use of the Theorem. (GEA)
Descriptors: Economics, Economics Education, Mathematical Concepts, Mathematical Models
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Alo, Richard A.; And Others – Journal of the American Society for Information Science, 1987
Presents a mathematical model of a decision maker subject to goal uncertainty which shows that a dominant course of action will always emerge. The theory of multivalued functions is used to express goal uncertainty, and a specific example is described to provide insight into how the procedure works in practice. (Author/EM)
Descriptors: Decision Making, Feedback, Information Systems, Information Utilization
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Raghavan, Vijay V.; Wong, S. K. M. – Journal of the American Society for Information Science, 1986
Presents notations and definitions necessary to identify the concepts and relationships that are important in modelling information retrieval objects and processes in the context of vector spaces. Earlier work on the use of vector models is evaluated in terms of the concepts introduced and certain problems are identified. (Author/EM)
Descriptors: Information Retrieval, Mathematical Models, Relevance (Information Retrieval), Vectors (Mathematics)
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Hofacker, Charles F. – Multivariate Behavioral Research, 1984
An alternative for analyzing responses to Likert Scales is proposed, using additive conjoint measurement. It assumes that subjects can report their attitudes toward stimuli in rank order. Neither within-subject nor between-subject distributional assumptions are made. Nevertheless, interval level stimulus values and response category boundaries are…
Descriptors: Attitude Measures, Mathematical Models, Responses, Statistical Analysis
Choppin, Bruce – Evaluation in Education: An International Review Series, 1985
Preparing this article posthumously from Choppin's presentation notes, the author used the historical development of thermometry to suggest some lessons for educational measurement: (1) mathematical models are important; (2) models can be useful long before their underlying processes are understood; and (3) since there are no true models, there…
Descriptors: Educational Assessment, Educational Research, Mathematical Models, Psychometrics
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Collins, Linda M.; Cliff, Norman – Psychometrika, 1985
The axioms of a three-set Guttman simplex model are presented and the effects of relaxing the axioms for one of the three sets are examined. This model can be used to define longitudinal developmental scales. (NSF)
Descriptors: Mathematical Models, Measurement Techniques, Scaling, Test Construction
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Holland, Terrill R.; McGarvey, Bill – Journal of Consulting and Clinical Psychology, 1984
Subjected sequences of violent and nonviolent offenses to log-linear analyses of the stabilities and magnitudes of their transition probabilities. Results were seen to support previous research in which nonviolent criminality emerged as more fundamental than violence in potential for pattern development. (LLL)
Descriptors: Crime, Criminals, Discriminant Analysis, Males
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Zimmerman, Donald W. – Educational and Psychological Measurement, 1983
A definition of test validity as the ratio of a covariance term to a variance term, analogous to the classical definition of test reliability, is proposed. When error scores on distinct tests are uncorrelated, the proposed definition coincides with the usual one, but it remains meaningful when error scores are correlated. (Author/BW)
Descriptors: Definitions, Mathematical Formulas, Mathematical Models, Test Theory
Williamson, David M.; Mislevy, Robert J.; Almond, Russell G. – 2001
This study investigated statistical methods for identifying errors in Bayesian networks (BN) with latent variables, as found in intelligent cognitive assessments. BN, commonly used in artificial intelligence systems, are promising mechanisms for scoring constructed-response examinations. The success of an intelligent assessment or tutoring system…
Descriptors: Artificial Intelligence, Bayesian Statistics, Cognitive Tests, Mathematical Models
Rudner, Lawrence M. – 2001
This paper describes and evaluates the use of decision theory as a tool for classifying examinees based on their item response patterns. Decision theory, developed by A. Wald (1947) and now widely used in engineering, agriculture, and computing, provides a simple model for the analysis of categorical data. Measurement decision theory requires only…
Descriptors: Classification, Mathematical Models, Measurement Techniques, Responses
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