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Brown, Thomas A. – 1974
The defining property of an admissible scoring system is that any individual perceives himself as maximizing his expected score by reporting his true subjective distribution. The use of admissible scoring systems as a measure of probabilistic forecasts is becoming increasingly well-known in those cases where the forecast is a discrete distribution…
Descriptors: Mathematical Models, Prediction, Probability, Scoring

Bookstein, Abraham; Cooper, William – Library Quarterly, 1976
Presents a mathematical model of an information retrieval system thought to be general enough to serve as an abstract representation of most document and reference retrieval systems. The model is made up of four components that, in one form or another, appear in every functioning system. (Author)
Descriptors: Information Retrieval, Information Systems, Mathematical Models

Curry, David J. – Multivariate Behavioral Research, 1976
The purpose of this study is to develop statistical tests for within cluster homogeneity when objects are scored on binary variables. (DEP)
Descriptors: Cluster Grouping, Mathematical Models, Statistical Analysis

Bennion, Bruce C.; Neuton, Laurence A. – Journal of the American Society for Information Science, 1976
The outbreak of research on "anomalous water," or "polywater," from 1962 to 1974 provides an interesting opportunity for testing the epidemic theory of idea dissemination. (Author)
Descriptors: Information Dissemination, Mathematical Models, Scientific Research

Macholtz, Jim – Physical Educator, 1978
Nothing short of advanced calculus can reduce coaching success to a formula, if, indeed, it can be done at all. (Author/MJB)
Descriptors: Mathematical Models, Physical Education, Success, Tutors

Hindle, Anthony – Journal of Documentation, 1977
A model of user behavior in demand for library documents based on the economic theory of supply and demand is presented. (KP)
Descriptors: Economics, Libraries, Library Materials, Mathematical Models

Koopman, Raymond F. – Psychometrika, 1983
A paradoxical implication of Kraemer's expression for the large-sample standard error of Brogden's form of the biserial correlation is identified, and a new expression is given which does not imply the paradox. However, numerical evidence is presented which calls into question the correctness of the expression. (Author)
Descriptors: Correlation, Error of Measurement, Mathematical Models

White, P. O. – Psychometrika, 1976
An alternative derivation is given for a generalization of the Rasch model which incorporates a guessing parameter. The probability of a correct response to the problem is a projective transformation of the problem difficulty. The ability and difficulty parameters separate into additive components. (Author/JKS)
Descriptors: Guessing (Tests), Mathematical Models, Measurement Techniques

Tahani, Valiollah – Information Processing and Management, 1976
This paper is concerned with the organization and retrieval of records in document retrieval systems which admit of imprecision in the form of fuzziness in document characterization and retrieval rules. A mathematical model for such systems, based on the theory of fuzzy sets, is introduced. (Author)
Descriptors: Information Retrieval, Information Systems, Mathematical Models
Davison, Mark L.; Kim, Se-Kang; Ding, Shuai – 2001
A model for test scores called the profile analysis via multidimensional scaling (PAMS) model is described. The model reparameterizes the linear latent variable model in such a way that the latent variables can be interpreted in terms of profile patterns, rather than factors. The model can serve as the basis for exploratory multidimensional…
Descriptors: Mathematical Models, Multidimensional Scaling, Profiles, Scores

Holtmann, A. G. – Journal of Human Resources, 1972
A revised theory of consumer choice is used to analyze the economic aspects of the medical care market. (BH)
Descriptors: Consumer Economics, Mathematical Models, Medical Services

Park, Rolla Edward – Journal of Broadcasting, 1971
Descriptors: Cable Television, Growth Patterns, Mathematical Models

Watterson, G. A. – Mathematical Spectrum, 1969
Describes a mathematical model used in statistical prediction. Model is derived from known independent continuously variable quantities having the same distribution. (RS)
Descriptors: Mathematical Models, Mathematics, Prediction, Probability
Foote, A. Edward – J Commun, 1970
Descriptors: Communication (Thought Transfer), Mathematical Models, Models
Carroll, John B. – Contemp Psychol, 1970
Descriptors: Book Reviews, Educational Psychology, Mathematical Models