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Gross, Alan L. – Psychometrika, 1990
A model is proposed for investigating test validity as a predictor of a criterion variable when there are both missing and censored scores in the data set. Implications for maximum likelihood estimation are discussed, and the method is illustrated with hypothetical data sets. (SLD)
Descriptors: Equations (Mathematics), Mathematical Models, Maximum Likelihood Statistics, Predictive Measurement
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Guttman, Irwin; Olkin, Ingram – Journal of Educational Statistics, 1989
A model for student retention and attrition is presented. Focus is on alternative models for the "dampening" in attrition rates as educational programs progress. Maximum likelihood estimates for the underlying parameters in each model and a Bayesian analysis are provided. (TJH)
Descriptors: Bayesian Statistics, Grade Repetition, Mathematical Formulas, Mathematical Models
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Wilson, Mark – Journal of Educational Statistics, 1989
An empirical sampling approach was used to assess the accuracy of a Taylor approximation for the estimation of sampling errors. The sampling errors were in the statistics involved in estimating a path model based on medium-sized samples gathered using five sample designs commonly used in educational research. (TJH)
Descriptors: Educational Research, Error of Measurement, Estimation (Mathematics), Mathematical Models
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Lehmann, Donald R.; Gupta, Sunil – Applied Psychological Measurement, 1989
Path Analysis of Covariance Matrix (PACM) is described as a way to separately estimate measurement and structural models using standard least squares procedures. PACM was empirically compared to simultaneous maximum likelihood estimation and use of the LISREL computer program, and its advantages are identified. (SLD)
Descriptors: Estimation (Mathematics), Least Squares Statistics, Mathematical Models, Maximum Likelihood Statistics
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Sandler, Stanley I. – Chemical Engineering Education, 1990
Establishes a theoretical basis for both understanding and testing the molecular level assumptions in mixtures. Considers activity coefficient models and equation of state mixing rules. (YP)
Descriptors: Chemical Engineering, Computer Simulation, Engineering, Equations (Mathematics)
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Velicer, Wayne F.; Jackson, Douglas N. – Multivariate Behavioral Research, 1990
Situations for which the researcher should use component analysis versus common factor analysis are discussed. Topics addressed include key algebraic similarities and differences, theoretical and practical issues, the factor indeterminacy issue, latent versus manifest variables, and differences between exploratory and confirmatory analysis…
Descriptors: Algebra, Comparative Analysis, Factor Analysis, Literature Reviews
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Chou, Chih-Ping; Bentler, P. M. – Multivariate Behavioral Research, 1990
The empirical performance under null/alternative hypotheses of the likelihood ratio difference test (LRDT); Lagrange Multiplier test (evaluating the impact of model modification with a specific model); and Wald test (using a general model) were compared. The new tests for covariance structure analysis performed as well as did the LRDT. (RLC)
Descriptors: Analysis of Covariance, Comparative Analysis, Hypothesis Testing, Mathematical Models
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Dorans, Neil J. – Applied Measurement in Education, 1990
The equating methods and sampling designs used in the empirical studies in this special issue on the use of matched samples for test equating are described. Four requisites for equating are listed, and the invariance of equating functions requisite is identified as the focus of this issue. (SLD)
Descriptors: Equated Scores, Equations (Mathematics), Evaluation Methods, Item Response Theory
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Hughes, Barnabas B. – College Mathematics Journal, 1989
Illustrates how heuristics can provide a psychological narrative of Hippocrates' and Archytas' thinking on the duplication of the cube. Four general heuristic techniques were used. (YP)
Descriptors: College Mathematics, Geometric Concepts, Geometry, Heuristics
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Sussman, Harvey M. – Psychological Review, 1989
The neuronal model shown to code sound-source azimuth in the barn owl by H. Wagner et al. in 1987 is used as the basis for a speculative brain-based human model, which can establish contrastive phonetic categories to solve the problem of perception "non-invariance." (SLD)
Descriptors: Acoustics, Animal Behavior, Cognitive Processes, Encoding (Psychology)
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Kelderman, Henk – Journal of Educational Statistics, 1988
A method is proposed for equating different sets of items administered to different groups using the Rasch model. The Rasch equating model formulated describes one common Rasch scale in different groups with different but overlapping item sets. The model, based on the quasi-loglinear Rasch model, can be tested globally. (SLD)
Descriptors: Equated Scores, Estimation (Mathematics), Item Analysis, Latent Trait Theory
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Grady, M. Tim; Brumbaugh, Doug – Journal of Computers in Mathematics and Science Teaching, 1988
Explores the use of computers for teaching mathematical models of transposition ciphers. Illustrates the ideas, includes activities and extensions, provides a mathematical model and includes computer programs to implement these topics. (MVL)
Descriptors: Algorithms, Cryptography, Instructional Materials, Integrated Activities
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Falmagne, Jean-Claude – Psychometrika, 1989
A stochastic version of a knowledge space is developed in which knowledge states are considered as possible epochs in a subject's learning history. It specifies how a subject is channeled through and progresses along a "gradation." The model's application to artificial data is described, based on maximum likelihood methods. (TJH)
Descriptors: Equations (Mathematics), Knowledge Level, Latent Trait Theory, Learning Processes
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Catenazzi, Nadia; Sommaruga, Lorenzo – Journal of Documentation, 1994
Presents a model for electronic books based on the paper book metaphor. Discussion includes how the book evolves under the effects of its functional components; the use and impact of the model for organizing and presenting electronic documents in the context of electronic publishing; and the possible applications of a system based on the model.…
Descriptors: Computer Software, Definitions, Electronic Publishing, Evaluation
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Chen, Ye-Sho; And Others – Information Processing and Management, 1994
Investigates the relationships between the parameters of the Simon-Yule model and the shapes of three bibliometric distributions: Lotka's Law of Scientific Productivity; Bradford's Law of Bibliometric Scattering; and Zipf's Law of Word Frequency. The results indicate that the probability of a new entry determines the characteristics of all three…
Descriptors: Bibliometrics, Information Science, Information Utilization, Mathematical Formulas
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