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Peer reviewedBorg, Ingiver; Lingoes, James C. – Psychometrika, 1980
A method for externally constraining certain distances in multidimensional scaling configurations is introduced and illustrated. The method is described in detail and several examples are presented. (Author/JKS)
Descriptors: Algorithms, Hypothesis Testing, Mathematical Models, Multidimensional Scaling
Peer reviewedLehner, Paul E.; Norma, Elliot – Psychometrika, 1980
A new algorithm is used to test and describe the set of all possible solutions for any linear model of an empirical ordering derived from techniques such as additive conjoint measurement, unfolding theory, general Fechnerian scaling, and ordinal multiple regression. The algorithm is computationally faster and numerically superior to previous…
Descriptors: Algorithms, Mathematical Models, Measurement, Multiple Regression Analysis
Hinson, Marilyn N.; And Others – Research Quarterly, 1979
A mathematical argument is presented for a particular definition of the term "isokinetics." (MM)
Descriptors: Definitions, Human Body, Mathematical Applications, Mathematical Models
Peer reviewedPreece, Peter F. W. – Journal of Experimental Education, 1978
Using a degenerate multivariate normal model for the distribution of organismic variables, the form of least-squares regression analysis required to estimate a linear functional relationship between variables is derived. It is suggested that the two conventional regression lines may be considered to describe functional, not merely statistical,…
Descriptors: Mathematical Models, Multiple Regression Analysis, Regression (Statistics), Statistical Analysis
Peer reviewedLawton, Stephen B.; Lawton, William H. – Educational Administration Quarterly, 1979
The chemical model for autocatalytic reactions is adapted to the process of adopting educational innovations and is then applied to six sets of historical data. (Author/IRT)
Descriptors: Adoption (Ideas), Diffusion, Educational Innovation, Foreign Countries
Peer reviewedLumsden, James – Applied Psychological Measurement, 1980
A test theory model based on the Thurstone judgmental model is described. By restricting various parameters of the model, 3 Rasch models, 2 pseudo-Rasch models, 3 two-parameter models, and a Weber's Law model are derived. (Author/CTM)
Descriptors: Latent Trait Theory, Mathematical Models, Scaling, Test Items
Peer reviewedMaron, M. E. – Journal of the American Society for Information Science, 1979
An analysis of the question of the optimal depth of indexing in order to design an effective document retrieval system is presented. It is shown that some more fundamental questions about indexing and retrieval rather than indexing depth are central to the issue. (Author/MBR)
Descriptors: Indexing, Information Retrieval, Information Systems, Mathematical Models
Peer reviewedSpitzer, Dean R. – British Journal of Educational Technology, 1977
J. W. Atkinson expectancy-value theory of motivation is discussed and embellished. Possible ways to enhance student motivation through instructional design are proposed for further study. (BD)
Descriptors: Conceptual Schemes, Educational Technology, Instructional Design, Mathematical Models
Peer reviewedZhang, Jinming; Stout, William – Psychometrika, 1997
Three counterexamples demonstrate that the Dutch Identity conjecture of P. Holland about examinee ability (1990) does not hold in general. The counterexamples suggest that only under strong assumptions can it be true that the limits of log-manifest probabilities are quadratic. Three propositions giving such strong conditions are given. (Author/SLD)
Descriptors: Ability, Item Response Theory, Mathematical Models, Probability
Peer reviewedDillon, William R.; Bockenholt, Ulf – Psychometrika, 1997
This paper presents two probabilistic models based on the logistic and the normal distribution for the analysis of dependencies in individual paired comparison judgments such as might occur in educational research. Three applications illustrate the approach. (SLD)
Descriptors: Comparative Analysis, Educational Research, Mathematical Models, Probability
Peer reviewedRaykov, Tenko – Multivariate Behavioral Research, 1997
It is shown that, for equivalent structural equation models that have been extended to multigroup models, imposing cross-group equality constraints on no parameters, all parameters, or any number of parameters for which the models are identical preserves the model equivalence property. Results are illustrated with two-group cognitive intervention…
Descriptors: Cognitive Psychology, Groups, Intervention, Mathematical Models
Peer reviewedMaraun, Michael D.; And Others – Multivariate Behavioral Research, 1996
The issue of indeterminacy in factor analysis and the debate between the proposed alternative solution and posterior moment position are explored in an article and 14 commentaries and rebuttals in two rounds. Implications for applied work involving factor analysis are discussed. (SLD)
Descriptors: Factor Analysis, Factor Structure, Mathematical Models, Metaphors
Peer reviewedBrown, Roger L. – Structural Equation Modeling, 1997
Reviews the use of structural equation modeling for providing an overall assessment of mediation, the mechanism that accounts for the relation between the predictor and the criterion. A strategy for supplemental details is presented that measures the magnitude of mediational effects. (SLD)
Descriptors: Computer Software, Mathematical Models, Predictor Variables, Structural Equation Models
Peer reviewedBenoit, G. – Journal of the American Society for Information Science and Technology, 2002
Describes an information retrieval, visualization, and manipulation model which offers the user multiple ways to exploit the retrieval set, based on weighted query terms, via an interactive interface. Outlines the mathematical model and describes an information retrieval application built on the model to search structured and full-text files.…
Descriptors: Computer Interfaces, Information Retrieval, Mathematical Formulas, Mathematical Models
Peer reviewedRothkopf, Ernst Z. – Economics of Education Review, 2003
Presents model for analyzing the distribution and interaction costs of asynchronous distance courses with traditional on-campus courses. (PKP)
Descriptors: Cost Effectiveness, Courses, Distance Education, Higher Education


