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Pagni, David L. – Mathematics Teacher, 1993
Investigates the problem of finding the expected number of questions necessary to identify 1 out of a set of 30 attribute blocks. Solutions include the use of a tree diagram or a computer simulation. Generalizes the problem for increased numbers of attributes. (MDH)
Descriptors: Computer Simulation, Mathematical Applications, Mathematical Formulas, Mathematics Education
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Jiang, Zhonghong; Potter, Walter D. – Journal of Computers in Mathematics and Science Teaching, 1994
Describes a simulation-oriented computer microworld named CHANCE used to overcome the limitations of physical materials for experiments in teaching and learning introductory probability. Results of a teaching experiment conducted with four middle school and high school students are discussed. (15 references) (LZ)
Descriptors: Computer Simulation, Intermediate Grades, Learning Activities, Mathematics Education
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Law, Kenneth S. – Journal of Educational and Behavioral Statistics, 1995
Two new methods of estimating the mean population correlation (M) and the standard deviation of population correlations (SD) were suggested and tested by Monte Carlo simulations. Results show no consistent advantage to using the Pearson correlation or Fisher's Z in estimating M or SD; estimates from all methods are similar. (SLD)
Descriptors: Computer Simulation, Correlation, Effect Size, Estimation (Mathematics)
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Steed, Marlo – Journal of Computers in Mathematics and Science Teaching, 1992
This document describes the construction/simulation software called Stella which can be used in the investigation of dynamic causal models. Topics considered are its built-in perspective of system dynamics and capabilities, its potential drawbacks, and its cognitive implications for educational applications. (JJK)
Descriptors: Causal Models, Cognitive Development, Cognitive Structures, Computer Simulation
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Kelderman, Henk – Psychometrika, 1992
Describes algorithms used in the computer program LOGIMO for obtaining maximum likelihood estimates of the parameters in loglinear models. These algorithms are also useful for the analysis of loglinear item-response theory models. Presents modified versions of the iterative proportional fitting and Newton-Raphson algorithms. Simulated data…
Descriptors: Algorithms, Computer Simulation, Equations (Mathematics), Estimation (Mathematics)
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Powers, William T. – American Behavioral Scientist, 1990
Contrasts modeling methods in control theory to the methods of statistical generalizations in empirical studies of human or animal behavior. Presents a computer simulation that predicts behavior based on variables (effort and rewards) determined by the invariable (desired reward). Argues that control theory methods better reflect relationships to…
Descriptors: Behavior, Causal Models, Comparative Analysis, Computer Simulation
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Harwell, Michael R.; Janosky, Janine E. – Applied Psychological Measurement, 1991
Investigates the BILOG computer program's ability to recover known item parameters for different numbers of items, examinees, and variances of the prior distributions of discrimination parameters for the two-parameter logistic item-response theory model. For samples of at least 250 examinees and 15 items, simulation results support using BILOG.…
Descriptors: Bayesian Statistics, Computer Simulation, Estimation (Mathematics), Item Response Theory
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Ramsay, J. O. – Psychometrika, 1991
Kernel smoothing methods for nonparametric item characteristic curve estimation are reviewed. A simulation with 500 examinees and real data from 3,000 records of the Graduate Record Examination illustrate the rapidity of kernel smoothing. Even when population curves are three-parameter logistic, simulation suggests no loss of efficiency. (SLD)
Descriptors: College Entrance Examinations, Computer Simulation, Efficiency, Equations (Mathematics)
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Hoijtink, Herbert – Applied Psychological Measurement, 1991
A probabilistic parallelogram model (the PARELLA model) is presented for the measurement of latent traits by proximity items. This unidimensional model assumes that the responses of persons to items result from proximity relations. The model is illustrated in an analysis of three empirical datasets from previous studies. (SLD)
Descriptors: Computer Simulation, Equations (Mathematics), Estimation (Mathematics), Item Response Theory
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Thompson, Bruce – Journal of Experimental Education, 1991
Monte Carlo methods were used to evaluate the degree to which canonical function and structure coefficients may be differentially sensitive to sampling error. For each of 64 research situations, 1,000 random samples were drawn. Both sets of coefficients were roughly equally influenced; some exceptions are noted. (SLD)
Descriptors: Behavioral Science Research, Computer Simulation, Correlation, Matrices
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Smith, Philip L.; Luecht, Richard M. – Applied Psychological Measurement, 1992
The implications of serially correlated effects on the results of generalizability analyses are discussed. Simulated data are provided that demonstrate the biases that serially correlated effects introduce into the results. Serial correlation in measurement effects can have a marked influence on the impression of the dependability of measurement…
Descriptors: Computer Simulation, Correlation, Equations (Mathematics), Estimation (Mathematics)
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Levine, Michael V.; And Others – Applied Psychological Measurement, 1992
Two joint maximum likelihood estimation methods (LOGIST 2B and LOGIST 5) and two marginal maximum likelihood estimation methods (BILOG and ForScore) were contrasted by measuring the difference between a simulation model and a model obtained by applying an estimation method to simulation data. Marginal estimation was generally superior. (SLD)
Descriptors: Computer Simulation, Differences, Estimation (Mathematics), Item Response Theory
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Zimmerman, Donald W.; Zumbo, Bruno D. – Journal of Experimental Education, 1992
A modified "F" test is derived that includes a correction for nonindependence of between-groups and within-groups sample values in analysis of variance (ANOVA) designs. Computer simulations based on normal and nonnormal distributions illustrate the usefulness of the approach, which was more powerful than conventional within-subjects…
Descriptors: Analysis of Variance, Computer Simulation, Correlation, Mathematical Models
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Brehmer, Berndt; Dorner, Dietrich – Computers in Human Behavior, 1993
Discusses experimental work with computer-simulated microworlds as a means for overcoming the tension between laboratory research and field research in psychology. Topics addressed include characteristics of microworlds; examples of microworlds; and three approaches to research with microworlds, including the individual differences approach, case…
Descriptors: Case Studies, Computer Simulation, Field Studies, Individual Differences
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Zimmerman, Donald W.; Zumbo, Bruno D. – Journal of Experimental Education, 1993
Comparisons of the Wilcoxon test, Friedman test, and repeated-measures analysis of variance (ANOVA) on ranks in a computer simulation show that the Friedman test performs like the sign test whereas the ANOVA performs like the Wilcoxon test. Classification of these tests in introductory statistics textbooks should be revised. (SLD)
Descriptors: Analysis of Variance, Classification, Comparative Analysis, Computer Simulation
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