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Spiegel, Douglas K. – Multivariate Behavioral Research, 1986
Tau, Lambda, and Kappa are measures developed for the analysis of discrete multivariate data of the type represented by stimulus response confusion matrices. The accuracy with which they may be estimated from small sample confusion matrices is investigated by Monte Carlo methods. (Author/LMO)
Descriptors: Mathematical Models, Matrices, Monte Carlo Methods, Multivariate Analysis
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Jannarone, Robert J. – Psychometrika, 1986
Conjunctive item response models are introduced such that: (1) sufficient statistics for latent traits are not necessarily additive in item scores; (2) items are not necessarily locally independent; and (3) existing compensatory (additive) item response models including the binomial, Rasch, logistic, and general locally independent model are…
Descriptors: Cognitive Processes, Hypothesis Testing, Latent Trait Theory, Mathematical Models
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Cole, David; And Others – College Mathematics Journal, 1986
The problem of managing the reserve of cobalt is presented, followed by a method for bringing the stockpiled amount from any level to a desired goal. Solving a stochastic programming problem is involved. The procedure is discussed in detail. (MNS)
Descriptors: College Mathematics, Higher Education, Learning Activities, Mathematical Applications
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Swaminathan, Hariharan; Gifford, Janice A. – Psychometrika, 1985
A Bayesian procedure is developed for the estimation of parameters in the two-parameter logistic item response model. Joint modal estimates of the parameters are obtained and procedures for the specification of prior information are described. (Author/LMO)
Descriptors: Bayesian Statistics, Estimation (Mathematics), Latent Trait Theory, Mathematical Models
Wolfram, Stephen – Scientific American, 1984
Discusses the use of computer programs in science and mathematics. Provides examples of how computation offers a new means of describing and investigating scientific and mathematical systems and how computer simulation can be used to examine new kinds of models for natural phenomena. (JN)
Descriptors: Biological Sciences, Computation, Computer Simulation, Computer Software
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Rogosa, David; Willett, John B. – Journal of Educational Statistics, 1985
A five by five covariance matrix representing longitudinal measurements at five occasions is used to illustrate that markedly different types of learning curves may generate indistinguishable covariance structures. An excellent fit of a simplex structure can be misleading. Common uses of covariance structure models for growth studies are…
Descriptors: Analysis of Covariance, Goodness of Fit, Hypothesis Testing, Longitudinal Studies
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Muthen, Bengt – Journal of Educational Statistics, 1985
Drawing on recently developed methodology for structural equation modeling with categorical data, this article proposes a new approach for investigating the behavior of dichotomously scored test items in relation to other relevant (observed) variables. A linear structural model relates the latent ability variable to a set of observed scores.…
Descriptors: Biology, Item Analysis, Latent Trait Theory, Mathematical Models
Steinhauer, Gene D.; Peden, Blaine F. – Collegiate Microcomputer, 1985
Contrasts artificial behavior with artificial intelligence, traces Law of Effect's development from a verbal statement into a mathematical model providing algorithms for artificial behavior programs, and describes an attempt to use computer graphics and animation to simulate behavior and teach abstract concepts. (MBR)
Descriptors: Abstract Reasoning, Animation, Artificial Intelligence, Computer Graphics
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Smith, Donald A.; Jacquot, Raymond G. – CoED, 1984
Presents algorithms for the simulation and motion display of the three basic kinematic devices: (1) four bar linkages; (2) the slider crank; and (3) the inverted slider crank mechanisms. The algorithms were implemented on a Commodore-VIC 20 microcomputer system with 6500 bytes of available memory. (Author/JN)
Descriptors: Algorithms, Computer Graphics, Computer Simulation, Computer Software
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Zitzewitz, Barbara S.; Berger, Carl F. – Journal of Research in Science Teaching, 1985
Monitoring student performance on microcomputer drill and practice programs over time provides evidence that students learn from the programs at different rates and that programs differ in the rates at which they impart learning to students. Implications of these and other findings for science teaching are addressed. (JN)
Descriptors: Academic Achievement, Chemistry, College Science, Computer Software
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Carr, Ken; Katterns, Bob – Mathematics in School, 1984
This study involved 179 9-year-olds and 352 13-year-olds in New Zealand. Four addition and four subtraction tasks were set to ascertain students' ability to use the number line. Comparison of these data with results from the national assessment in the United States are given. (MNS)
Descriptors: Addition, Educational Research, Elementary School Mathematics, Elementary Secondary Education
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Glasnapp, Douglas R. – Educational and Psychological Measurement, 1984
The concept of change is related to suppressor variable conditions in a least square regression model. The domain of conditions necessary for a weighted change score composite to emerge as an underlying construct is mapped and the information loss through arbitrary assignment of weights to a change composite is explored. (Author/BW)
Descriptors: Achievement Gains, Least Squares Statistics, Mathematical Models, Pretests Posttests
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Rhodes, William M. – Evaluation Review, 1985
Prediction of success in a special program often guides program participant selection and treatment. If the statistical analysis used to develop such predictions is based on the special selectivity built into the program, the predictions can be misleading and the validation tests uninformative. Federal district court pretrial release data is used…
Descriptors: Cohort Analysis, Criminals, Mathematical Models, Predictive Validity
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Kail, Robert; And Others – Intelligence, 1984
Sex differences in speed of solving mental rotation problems were replicated but college men and women were alike in frequency of use of algorithms to solve problems. The most frequent algorithm involved encoding stimuli in working memory, mental rotation of one to orientation of the other, comparison, and response. (Author/RD)
Descriptors: Algorithms, Cognitive Processes, Higher Education, Mathematical Models
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Cudeck, Robert – Multivariate Behavioral Research, 1985
Twelve structural models of similarity were fitted to data from conventional and computer adaptive test (CAT) batteries measuring the same aptitude in a double cross-validation design. Three of the 12 models, including a multiplicative structure model, performed well, providing support for using CATs as replacements for conventional tests. (NSF)
Descriptors: Adaptive Testing, Aptitude Tests, Comparative Testing, Computer Assisted Testing
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