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Peer reviewedMusa, F. A. – Journal of the American Society for Information Science, 1986
The production of high quality Arabic-English text poses technical problems that are caused mainly by the high degree of syntactical flexibility which characterizes the Arabic language. This article describes a system which offers some solutions to the problems encountered in processing bilingual Arabic-English text. (Author/EM)
Descriptors: Algorithms, Arabic, English, Mathematical Models
Peer reviewedKingma, Johannes; Reuvekanp, Johan – Educational and Psychological Measurement, 1986
A nonparametric Mokken scale analysis and program is described. Three procedures of scaling (a search procedure, evaluation of the whole set of items as a scale, and extension of an existing scale) provided a coefficient of scalability for all the items together that satisfy the criteria of the Mokken model. (Author/LMO)
Descriptors: Computer Software, Input Output, Mathematical Models, Microcomputers
Peer reviewedLance, Charles E. – Multivariate Behavioral Research, 1986
The logic and procedures underlying a disturbance term regression test of logical consistency for structural models are reviewed for recursive and nonrecursive designs. It is shown that in a simple three-variable, complete mediational case the test procedure is mathematically equivalent to a part correlation. (Author/LMO)
Descriptors: Correlation, Hypothesis Testing, Mathematical Models, Matrices
Cook, Ronald J. – Momentum, 1985
Proposes a model to help Catholic school budget planners understand a series of significant factors which can predict enrollment and stabilize the budget process. Details the reliability of the model through eight successive years of testing at Bishop Foley High School in Detroit. (CBC)
Descriptors: Budgeting, Catholic Schools, Elementary Secondary Education, Enrollment Projections
Peer reviewedWilcox, Rand R. – Journal of Experimental Education, 1985
A new method of measuring item bias based on the latent class model proposed by the author is suggested. A test for item bias is also suggested that is based on standard asymptotic results. (Author/DWH)
Descriptors: Mathematical Models, Measurement Techniques, Statistical Analysis, Test Bias
Peer reviewedSerlin, Ronald C.; Marascuilo, Leonard A. – Journal of Educational Statistics, 1983
Two alternatives to the problems of conducting planned and post hoc comparisons in tests of concordance and discordance for G groups of judges are examined. The two models are illustrated using existing data. (Author/JKS)
Descriptors: Attitude Measures, Comparative Analysis, Interrater Reliability, Mathematical Models
Peer reviewedRigdon, Steven E.; Tsutakawa, Robert K. – Psychometrika, 1983
Latent trait test models for responses to dichotomously scored items are considered from the point of view of parameter estimation using a Bayesian statistical approach and the EM estimation algorithm. An example using the Rasch model is presented. (Author/JKS)
Descriptors: Algorithms, Bayesian Statistics, Estimation (Mathematics), Latent Trait Theory
Peer reviewedRindskopf, David – Psychometrika, 1984
Using LISREL, the only types of constraints allowed are fixing parameters at a constant value and constraining parameters to be equal. In this paper, two new concepts ("phantom" and "imaginary" latent variables) are introduced which allow fairly general equality and inequality constraints on factor loadings and structural model…
Descriptors: Computer Software, Factor Analysis, Mathematical Models, Path Analysis
Peer reviewedTsang, Mun C.; Levin, Henry M. – Economics of Education Review, 1985
Explains overeducation as an economic phenomenon using several labor-market models. Establishes theoretically the effect of overeducation on production, using a production function model that characterizes production as a two-phase process. (PGD)
Descriptors: Education Work Relationship, Educational Economics, Labor Market, Mathematical Models
Peer reviewedBurrell, Quentin L. – Journal of Documentation, 1985
It is shown that Trueswell's empirical 80/20 rule arises from type of stochastic model for library loans presented by Burrell and Cane. Particular attention is paid to previously suggested uses of rule in identifying "core collection" for library noting that length of time period is of crucial importance. (20 references) (EJS)
Descriptors: Graphs, Library Circulation, Library Collections, Mathematical Models
Peer reviewedSmith, Philip J.; And Others – Journal of Educational Statistics, 1985
When the experimental units are measured twice, and the response variable is dichotomous, the equality of the two proportions is usally assessed by Mc Nemar's (1947) test. In this paper, Bayesian methods are presented for testing hypotheses regarding the two success probabilities in light of complete and incomplete data. (Author/BW)
Descriptors: Bayesian Statistics, Hypothesis Testing, Mathematical Models, Pretests Posttests
Peer reviewedConger, Anthony J.; Ward, David G. – Educational and Psychological Measurement, 1984
Sixteen measures of reliability for two-category nominal scales are compared. Upon correcting for chance agreement, there are only five distinct indices: Fleiss's modification of A-sub-1, the phi coefficient, Cohen's kappa, and two intraclass coefficients. Recommendations for choosing an agreement index are made based on definitions, magnitude,…
Descriptors: Comparative Analysis, Correlation, Data Analysis, Mathematical Models
Peer reviewedLeach, Steven – College and Research Libraries, 1976
This study, which measures the growth rates of the 25 largest ARL libraries from 1962-63 through 1973-74, tentatively identifies the collection size level past which growth-rate deceleration begins. (Author)
Descriptors: Academic Libraries, College Libraries, Library Collections, Mathematical Models
Shternberg, Beba; Yerushalmy, Michal – International Group for the Psychology of Mathematics Education, 2004
The article focuses on a specific method of constructing the concept of function. The core of this method is a didactic model that plays two roles together--on the one hand a role of a model of the concept of function and on the other hand a role of a model of physical phenomena that functions can represent. This synergy of modeling situations and…
Descriptors: Mathematical Concepts, Concept Formation, Mathematics Instruction, Teaching Methods
Lesh, Richard; Carmona, Guadalupe; Post, Thomas – 2002
In this workshop, we will continue to reflect on a models and modeling perspective to understand how students and teachers learn and reason about real life situations encountered in a mathematics and science classroom. We will discuss the idea of a model as a conceptual system that is expressed by using external representational media, and that is…
Descriptors: Mathematical Applications, Mathematical Models, Mathematics Education, Problem Solving


