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Lad, F. R.; And Others – 1987
B. De Finetti's "Fundamental Theorem of Probability" is reformulated as a computable linear programming problem. The theorem is substantially extended, and shown to have fundamental implications for the theory and practice of statistics. It supports an operational meaning for the partial assertion of prevision via asserted bounds. The…
Descriptors: Linear Programing, Mathematical Models, Probability, Statistical Analysis
Peer reviewed Peer reviewed
Edmonds, James D., Jr. – Physics Education, 1974
The history of the concept of antimatter is traced. A hypothetical situation involving antimen who move and think backwards in time is considered. (DT)
Descriptors: Atomic Theory, Mathematical Models, Physics, Science History
Peer reviewed Peer reviewed
Heine, M. H. – Journal of the American Society for Information Science, 1974
Swets' theory of information retrieval allows the threads of document weighting formulae, probabilistic measures of effectiveness, and management theory, to be woven into a coherent pattern. Benefits are: the beginnings of a quantitative description of retrieval languages; destinction between retrieval systems and language; and question generality…
Descriptors: Documentation, Information Retrieval, Mathematical Models, Probability
Peer reviewed Peer reviewed
Robertson, S. E. – Journal of Documentation, 1974
Poses questions concerning methods of using specificity information in a weighting scheme. (JB)
Descriptors: Documentation, Information Retrieval, Mathematical Models, Relevance (Information Retrieval)
Peer reviewed Peer reviewed
Gebhardt, Friedrich – Information Processing and Management, 1975
The model assumes that the relevance assigned to a document by a juror is a random variable. (PF)
Descriptors: Information Retrieval, Mathematical Models, Probability, Relevance (Information Retrieval)
Trueswell, Richard L. – Wilson Libr Bull, 1969
Descriptors: Library Circulation, Library Collections, Mathematical Models, Use Studies
Kohn, Robert E. – Sch Sci Math, 1969
Paper presented at the Annual Convention of the Central Association of Science and Mathematics Teachers, St. Louis, Missouri, November 1968
Descriptors: Air Pollution, College Mathematics, Mathematical Models, Mathematics
Zimmerman, Donald W. – J Exp Educ, 1969
Research supported by the National Research Council of Canada, Grant APA-252-2057-B.
Descriptors: Analysis of Variance, Mathematical Models, Scoring, Test Reliability
Peer reviewed Peer reviewed
Huffman, David C. – Math Teacher, 1969
Descriptors: College Mathematics, Geometric Concepts, Geometry, Mathematical Models
Samejima, Fumiko – 1980
The rationale behind the method of estimating the operating characteristics of discrete item responses when the test information of the Old Test is not constant was presented previously. In the present study, two subtests of the Old Test, i.e. Subtests 1, and 2, each of which has a different non-constant test information function, are used in…
Descriptors: Computer Assisted Testing, Latent Trait Theory, Mathematical Models
Mattenklott, Axel; And Others – 1981
A stochastic model for paired comparisons of multi-attribute social stimuli is proposed where one objective is to find the relative importance of the attributes for a judge. Is is related to the Bradley-Terry model where log-parameters are linear combinations of functions of the stimuli's attributes. This model neither assumes that the functions…
Descriptors: Judges, Mathematical Models, Maximum Likelihood Statistics, Pictorial Stimuli
Doerann-George, Judith – 1975
The Integrated Moving Average (IMA) model of time series, and the analysis of intervention effects based on it, assume random shocks which are normally distributed. To determine the robustness of the analysis to violations of this assumption, empirical sampling methods were employed. Samples were generated from three populations; normal,…
Descriptors: Hypothesis Testing, Mathematical Models, Power (Statistics), Statistics
Gorn, Saul – 1967
This paper examines the growth of mechanical languages, and suggests how such growth may be understood and controlled. The paper is restricted to a very special category of mechanical languages with a very strong structure, and which grows by a very limited means called "explicit definition." (Author/FWB)
Descriptors: Computational Linguistics, Mathematical Logic, Mathematical Models, Programing Languages
Gleser, Leon Jay; Olkin, Ingram – 1972
Box's method of approximation for the null distributions of likelihood criteria is described. It simplifies the formulas, describes a method of obtaining f, phi, and rho directly from given values, and provides two illustrations of the method. (DJ)
Descriptors: Mathematical Models, Research Methodology, Research Reports, Statistical Analysis
Forster, Fred – 1976
Various factors which influence the relationship between the Rasch item characteristic curve and the actual performance of an item are identified. The Rasch item characteristic curve is a new concept in test design and analysis. The Rasch test model provides information concerning the percent of students with a specified achievement level who…
Descriptors: Goodness of Fit, Item Analysis, Mathematical Models, Probability
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