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Lewandowsky, Stephan; Murdock, Bennet B., Jr. – Psychological Review, 1989
An extension to Murdock's Theory of Distributed Associative Memory, based on associative chaining between items, is presented. The extended theory is applied to several serial order phenomena, including serial list learning, delayed recall effects, partial report effects, and buildup and release from proactive interference. (TJH)
Descriptors: Association (Psychology), Learning Theories, Linguistic Theory, Mathematical Models
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Kiers, Henk A. L. – Psychometrika, 1989
An alternating least squares algorithm is offered for fitting the DEcomposition into DIrectional COMponents (DEDICOM) model for representing asymmetric relations among a set of objects via a set of coordinates for the objects on a limited number of dimensions. An algorithm is presented for fitting the IDIOSCAL model in the least squares sense.…
Descriptors: Algorithms, Estimation (Mathematics), Goodness of Fit, Least Squares Statistics
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Fox, R. O.; Fan, L. T. – Chemical Engineering Education, 1990
Describes stochastic models. Discusses the rationale for stochastic analysis and modeling, and provides a master equation for the models with respect to chemical processes. Lists 29 references. (YP)
Descriptors: Chemical Engineering, Chemical Reactions, College Science, Engineering
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Boekkooi-Timminga, Ellen – Journal of Educational Statistics, 1990
The construction of parallel tests from item-response-theory-based item banks is discussed. Two methods for sequentially selecting parallel tests and two methods for simultaneously constructing tests using 0-1 linear programing are compared. Advantages and disadvantages of these techniques are reviewed. (SLD)
Descriptors: Equations (Mathematics), Item Banks, Item Response Theory, Linear Programing
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Wong, S. K. M.; Yao, Y. Y. – Information Processing and Management, 1989
Proposes an information retrieval model in which documents are characterized by a simple probability measure on the set of index terms, and describes two retrieval strategies, one based on utility theory and the other on information theory. The discussion covers experimental findings of retrieval effectiveness and insights into fundamental…
Descriptors: Functions (Mathematics), Information Retrieval, Information Theory, Mathematical Models
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Buchanan, Bruce – Psychometrika, 1988
A model is proposed that describes subject behavior on repeat paired comparison preference tests. The model extends prior work in this area in that it explicitly allows for abstentions and permits the derivation of individual true scores of discrimination ability as well as conditional estimates of proportionate preference. (Author/TJH)
Descriptors: Attitude Measures, Equations (Mathematics), Guessing (Tests), Mathematical Models
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Joe, George W.; Mendoza, Jorge L. – Journal of Educational Statistics, 1989
A response to comments on internal correlation for statistical analysis, as proposed by the present authors (1989), is provided. Focus is on issues raised by W. W. Rozeboom (1989). Comments by J. H. Schuenemeyer (1989) and R. Bargmann (1989) are briefly considered. (TJH)
Descriptors: Correlation, Factor Analysis, Generalization, Mathematical Models
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Boik, Robert J. – Psychometrika, 1988
Both doubly multivariate and multivariate mixed models of analyzing repeated measures on multivariate responses are reviewed. Given multivariate normality, a condition called multivariate sphericity of the covariance matrix is both necessary and sufficient for the validity of the multivariate mixed model analysis. (SLD)
Descriptors: Analysis of Covariance, Equations (Mathematics), Mathematical Models, Matrices
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Raju, Nambury S. – Psychometrika, 1988
Formulas for computing the exact signed and unsigned areas between two item characteristic curves (ICCs) are presented. It is further shown that when the "c" parameters are unequal, the area between two ICCs is infinite. The significance of the exact area measures for item bias research is discussed. (Author)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Item Analysis, Latent Trait Theory
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Ashby, F. Gregory; Perrin, Nancy A. – Psychological Review, 1988
Using general recognition theory, a new theory of similarity is developed, postulating that perceived similarity is determined by distributional overlap. This theory is related to existing theories of similarity. Three experiments using a total of 19 university students are presented, testing the empirical validity of the theory. (SLD)
Descriptors: Cognitive Psychology, College Students, Equations (Mathematics), Higher Education
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Kaplan, David – Multivariate Behavioral Research, 1989
The sampling variability and zeta-values of parameter estimates for misspecified structural equation models were examined. A Monte Carlo study was used. Results are discussed in terms of asymptotic theory and the implications for the practice of structural equation models. (SLD)
Descriptors: Error of Measurement, Estimation (Mathematics), Mathematical Models, Monte Carlo Methods
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Wilson, Mark – Applied Psychological Measurement, 1988
A method for detecting and interpreting disturbances of the local-independence assumption among items that share common stimulus material or other features is presented. Dichotomous and polytomous Rasch models are used to analyze structure of the learning outcome superitems. (SLD)
Descriptors: Item Analysis, Latent Trait Theory, Mathematical Models, Test Interpretation
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Guttman, Louis – Psychometrika, 1988
Two discrimination coefficients, known as "disco" and "odisco," are proposed for measuring the extent of overlap in distributions as a direct function of the variance between the arithmetic means. These coefficients are related to K. Pearson's "eta" (1905) and R. A. Fisher's "F" (1950). (SLD)
Descriptors: Analysis of Variance, Computer Software, Discriminant Analysis, Equations (Mathematics)
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Reckase, Mark D.; And Others – Journal of Educational Measurement, 1988
It is demonstrated, theoretically and empirically, that item sets can be selected that meet the unidimensionality assumption of most item response theory models, even though they require more than one ability for a correct response. A method for identifying such item sets for test development purposes is presented. (SLD)
Descriptors: Computer Simulation, Item Analysis, Latent Trait Theory, Mathematical Models
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Carter, Randy L.; And Others – Psychometrika, 1989
The partitioning of squared Euclidean--E(sup 2)--distance between two vectors in M-dimensional space into the sum of squared lengths of vectors in mutually orthogonal subspaces is discussed. Applications to specific cluster analysis problems are provided (i.e., to design Monte Carlo studies for performance comparisons of several clustering methods…
Descriptors: Cluster Analysis, Distance, Mathematical Models, Monte Carlo Methods
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