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Turner, Charles F. – Educational and Psychological Measurement, 1975
Methods for the path analysis of complex (i.e., not fully recursive) causal models are briefly discussed. A computer program which simplifies analysis of such models and provides an option for automatically deleting marginal paths is described. (Author)
Descriptors: Computer Programs, Mathematical Models, Path Analysis
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Brown, Daniel J. – American Educational Research Journal, 1975
This article is divided into three main sections. The first addresses the problems associated with the present use of the linear model. The second provides some empirical evidence to help strengthen the arguments made against the model, and the third offers some alternatives along with suggestions for their implementation. (Author/DEP)
Descriptors: Educational Research, Mathematical Models, Statistical Analysis
Tenenbein, Aaron – Information Storage and Retrieval, 1974
The binary search scheme is a method of finding a particular file from a set of ordered files stored in a computer. In this article an exact expression for the expected number of passes required to find a file is derived. (Author)
Descriptors: Information Retrieval, Mathematical Models, Search Strategies
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Bruce, Daniel R. – Library Quarterly, 1975
Gives a model to interrelate the measures of service used in a library. (Author/PF)
Descriptors: Library Circulation, Mathematical Models, Use Studies
Donlon, Thomas F. – 1975
The use of indices of speededness in tests is reviewed and three possible indices which derive from a model which assumes that rate of work is normally distributed is proposed. Each of these indices is seen as limited by the failure to adequately consider the correlation between speed and power, but they have the advantage that they are derivable…
Descriptors: Mathematical Models, Statistical Analysis, Timed Tests
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
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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
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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
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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
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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
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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
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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
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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
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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
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