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Kelderman, Hendrikus – Psychometrika, 1984
The assumptions of the Rasch model are discussed and the Rasch model is reformulated as a quasi-independence model. Using ordinary contingency table methods, the Rasch model can be tested generally or against less restrictive quasi-loglinear models to investigate specific violations of its assumptions. (Author/BW)
Descriptors: Goodness of Fit, Latent Trait Theory, Mathematical Models

Otter, Pieter W. – Psychometrika, 1986
In this paper the parameter identifiability and estimation of a general dynamic structural model under indirect observation is considered from a system theoretic perspective. (Author/LMO)
Descriptors: Estimation (Mathematics), Factor Analysis, Mathematical Models, Statistical Studies

Rae, Gordon – Educational and Psychological Measurement, 1984
Various indices for measuring agreement among several raters on the presence or absence of a trait can be interpreted as intraclass correlation coefficients. Such a reformulation clarifies the relationships among the measures, simplifies the computations involved, and permits simple significance tests to be carried out. An illustrative example is…
Descriptors: Correlation, Mathematical Models, Observation, Research Methodology

Zegers, Frits E.; ten Berge, Jos M. F. – Psychometrika, 1985
Four types of metric scales are distinguished: absolute, ratio, difference, and interval. A general coefficient of association for two variables of the same scale type is developed which reduces to specific coefficients of association for each scale type. (NSF)
Descriptors: Correlation, Mathematical Models, Scaling, Test Theory

Marascuilo, Leonard A.; Levin, Joel R. – American Educational Research Journal, 1976
An alternative is proposed to the usual Interaction and Nested Analysis of Variance (ANOVA) models by which a researcher will be able to investigate both interaction and nested questions in the same experiment without committing Type IV errors. (RC)
Descriptors: Analysis of Variance, Hypothesis Testing, Interaction, Mathematical Models
McCamey, Randy – 2002
The Rasch measurement model improves on traditional test construction by creating tests in which the person's ability is independent of the sample of items used and the norm group used to calibrate the test. This paper reviews the Rasch model by describing properties of the item characteristic curve (ICC) and discussing the utility of having…
Descriptors: Ability, Item Response Theory, Mathematical Models, Test Construction

Werts, Charles E.; And Others – Educational and Psychological Measurement, 1973
Purpose of this paper is to provide an alternative formulation which allows for the model parameters to be determined given the structural specification of zero mean error and independence among errors for different items and between errors and true scores. (Authors)
Descriptors: Mathematical Models, Measurement Techniques, Statistical Analysis, True Scores

Kendall, David – Mathematical Spectrum, 1971
Descriptors: Algebra, Mathematical Applications, Mathematical Models, Secondary School Mathematics

Ormell, C. P. – International Journal of Mathematical Education in Science and Technology, 1972
Descriptors: Mathematical Applications, Mathematical Models, Mathematics, Mathematics Education

Bookstein, Abraham; Swanson, Don R. – Library Quarterly, 1973
In this paper the amount of frustration in a section of books is derived from a model that includes the effects of variable book circulation and the nondeterministic nature of book use. (Author/DH)
Descriptors: Filing, Libraries, Library Technical Processes, Mathematical Models

Gastwirth, Joseph L. – Monthly Labor Review, 1973
Some reasons are offered for the differences between survey findings and econometric results. (Editor)
Descriptors: Employment Patterns, Labor Force Nonparticipants, Mathematical Models, Unemployment

Wolter, David G.; Earl, Robert W. – Psychometrika, 1972
Descriptors: Bayesian Statistics, Learning, Mathematical Models, Probability
Stanfel, Larry E. – Information Storage and Retrieval, 1973
A review is given of doubly-chained trees for information retrieval. It is shown that the chaining steps may be of different cost depending upon whether the step is vertical or horizontal. The problem of constructing an optimal retrieval tree is formulated mathematically and a solution procedure given. (5 references) (Author/KE)
Descriptors: Decision Making, Information Retrieval, Information Storage, Mathematical Models

Cooper, Michael D. – Journal of the American Society for Information Science, 1972
A Mathematical model for use in studying how to minimize the cost of operating a mechanized retrieval system is developed. Through the use of cost analysis, the model provides a method for comparative evaluation between information retrieval systems. (15 references) (Author/SJ)
Descriptors: Cost Effectiveness, Information Retrieval, Information Systems, Mathematical Models

Chandler, Graeme – Australian Mathematics Teacher, 1972
Descriptors: Cybernetics, Government Role, Mathematical Applications, Mathematical Models