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Peer reviewedFischer, G. H.; Parzer, P. – Psychometrika, 1991
The polytomous unidimensional Rasch model with equidistant scoring (rating scale model) is extended so that two parameters are linearly decomposed into certain basic parameters. A conditional maximum likelihood estimation procedure and a likelihood ratio test are presented in the context of the extended model (linear rating scale model). (SLD)
Descriptors: Change, Computer Simulation, Equations (Mathematics), Estimation (Mathematics)
Peer reviewedCarraher, David William – Educational Studies in Mathematics, 1993
Presents a model of rational number using pairs of line segments which can embody ratios of numbers. Actions upon these segments can embody arithmetical operations. Discusses tasks in a computer environment for bringing out diverse algebraic and geometric meanings of rational numbers. (Contains 23 references.) (MKR/Author)
Descriptors: Algebra, Arithmetic, Concept Formation, Elementary Secondary Education
Peer reviewedMassaro, Dominic W.; Cohen, Michael M. – Cognitive Psychology, 1991
The stochastic interactive activation and competition (SIAC) model of perception is presented and tested using several data sets from previous research. The asymptotic predictions of the SIAC model are compared with those of the fuzzy logical model of perception (FLMP). Evidence favoring the FLMP is reviewed. (SLD)
Descriptors: Comparative Analysis, Context Effect, Equations (Mathematics), Estimation (Mathematics)
Peer reviewedEdwards, Lynne K. – Journal of Educational Statistics, 1991
When repeated observations are taken at equal time intervals, a simple form of a stationary time series structure may be fitted to the observations. Use of correction factors is discussed. A computer simulation method is used to investigate power advantages of fitting a serial correlation pattern to repeated observations. (TJH)
Descriptors: Computer Simulation, Error of Measurement, Goodness of Fit, Longitudinal Studies
Peer reviewedDe Ayala, R. J.; And Others – Educational and Psychological Measurement, 1991
To investigate the effect on item parameter estimation of pooling the raters' ratings and to examine the information content of 2 types of writing samples, the partial credit model was fit to 2,000 writing samples from secondary students that had been holistically scored. Implications for test construction are discussed. (SLD)
Descriptors: Estimation (Mathematics), Graphs, Holistic Evaluation, Mathematical Models
Peer reviewedO'Grady, Kevin E.; Medoff, Deborah R. – Multivariate Behavioral Research, 1991
A procedure for evaluating a variety of rater reliability models is presented. A multivariate linear model is used to describe and assess a set of ratings. Parameters are represented in terms of a factor analytic model, and maximum likelihood methods test the model parameters. Illustrative examples are presented. (SLD)
Descriptors: Comparative Analysis, Correlation, Equations (Mathematics), Estimation (Mathematics)
Peer reviewedTaylor, Matthew J.; White, Karl R. – Journal of Experimental Education, 1992
Results obtained in a metanalysis using indirect alternative methods of computing standardized mean difference effect sizes (SMDESs) were compared with results obtained from direct calculations of SMDESs. In most cases, alternative methods yield very comparable results and are beneficial to use, especially when sample sizes are large. (SLD)
Descriptors: Comparative Analysis, Disabilities, Early Intervention, Effect Size
Peer reviewedMarcoulides, George A. – Journal of Educational Statistics, 1993
A methodology is presented for minimizing mean error variance in generalizability studies when resource constraints are imposed. The optimal number of observations and conditions of facets for random model, fully crossed one- and two-facet designs can be decided. Parallel closed form formulas can be determined for other designs. (SLD)
Descriptors: Budgeting, Equations (Mathematics), Error of Measurement, Generalizability Theory
Peer reviewedFeldt, Leonard S. – Applied Measurement in Education, 1993
The recommendation that the reliability of multiple-choice tests will be enhanced if the distribution of item difficulties is concentrated at approximately 0.50 is reinforced and extended in this article by viewing the 0/1 item scoring as a dichotomization of an underlying normally distributed ability score. (SLD)
Descriptors: Ability, Difficulty Level, Guessing (Tests), Mathematical Models
Peer reviewedMiller, Timothy R.; Spray, Judith A. – Journal of Educational Measurement, 1993
Presents logistic discriminant analysis as a means of detecting differential item functioning (DIF) in items that are polytomously scored. Provides examples of DIF detection using a 27-item mathematics test with 1,977 examinees. The proposed method is simpler and more practical than polytomous extensions of the logistic regression DIF procedure.…
Descriptors: Discriminant Analysis, Item Bias, Mathematical Models, Mathematics Tests
Peer reviewedMcCulley, William L.; Downey, Ronald G. – Educational and Psychological Measurement, 1993
In a university salary prediction study of 75 faculty members, years of service acted as a negative suppressor variable. The suppressor effect was interpreted as salary compression, or the failure of the organization to recognize seniority with adequate compensation increases while meeting market values for new hires. (SLD)
Descriptors: College Faculty, Correlation, Employment Practices, Higher Education
Peer reviewedChatterjee, Sangit; Yilmaz, Mustafa – Applied Psychological Measurement, 1992
The importance of regression diagnostics in detecting influential data points is discussed, and five statistics are recommended for the applied researcher. The suggested diagnostics were used on a dataset of 24 subjects, and effects were analyzed. Colinearity-based diagnostics and diagnostics for a variety of procedures are discussed. (SLD)
Descriptors: Behavioral Science Research, Diagnostic Tests, Equations (Mathematics), Error of Measurement
Peer reviewedLewis, Charles; Sheehan, Kathleen – Applied Psychological Measurement, 1990
A theoretical framework for mastery testing based on item response theory and Bayesian decision theory is described and illustrated. Implementation depends on the availability of (1) a computerized test delivery system; (2) a pool of pretested items; and (3) a model relating observed test performance to true mastery status. (SLD)
Descriptors: Bayesian Statistics, Computer Assisted Testing, Equations (Mathematics), Graphs
Peer reviewedThomas, Hoben; Kail, Robert – Intelligence, 1991
Mental-rotation task response times from 12 studies involving 505 adults--251 males and 254 females--were used to evaluate 5 hypotheses concerning sex differences derived from an X-linked genetic model. The model assumes that task facilitation in speed of mental rotation is mediated by a recessive gene. Four hypotheses derived from the model were…
Descriptors: Adults, Cognitive Processes, Cognitive Tests, Equations (Mathematics)
Peer reviewedMathews, John H. – Journal of Computers in Mathematics and Science Teaching, 1991
Examples of subroutines that generate both symbolic and graphic solutions to differential equations are presented for the two computer algebra systems, MAPLE and Mathematica. Included are the listings for the Mathematica procedures developed for use in this article. (JJK)
Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Computer Software Evaluation


