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Peer reviewedHawkins, Vincent J. – School Science and Mathematics, 1985
A model, easily constructed by students, is used to assist in seeking basic Pythagorean identities used to prove more complex ones. (MNS)
Descriptors: Mathematical Models, Mathematics Instruction, Secondary Education, Secondary School Mathematics
Peer reviewedEgghe, L. – Journal of Documentation, 1988
Reviews the bibliometric laws of Bradford, Leimkuhler, Mandelbrot, Lotka, Brookes, and Zipf, and classifies them in two groups, based on the use of mathematical logic and equivalency. (8 references) (CLB)
Descriptors: Bibliometrics, Classification, Mathematical Logic, Mathematical Models
Peer reviewedNicholls, Paul Travis – Journal of the American Society for Information Science, 1987
Describes and compares eight methods of estimating the parameters of the Zipf distribution. (CLB)
Descriptors: Comparative Analysis, Estimation (Mathematics), Mathematical Models, Predictive Measurement
Peer reviewedAkaike, Hirotugu – Psychometrika, 1987
The Akaike Information Criterion (AIC) was introduced to extend the method of maximum likelihood to the multimodel situation. Use of the AIC in factor analysis is interesting when it is viewed as the choice of a Bayesian model; thus, wider applications of AIC are possible. (Author/GDC)
Descriptors: Bayesian Statistics, Factor Analysis, Mathematical Models, Maximum Likelihood Statistics
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


