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Kwok, K. L. – Journal of the American Society for Information Science, 1985
Introduces a new model of viewing documents based on citing-cited relationship between them. Using Bayes' decision theory, it is shown how source document may be indexed and weighted by relevant cited document features, corresponding to one pass relevance feedback Model 1 (probabilistic indexing) or Model 2 (probabilistic retrieval). (24…
Descriptors: Citations (References), Feedback, Indexing, Information Retrieval

James, Lawrence R.; Tetrick, Lois E. – Educational and Psychological Measurement, 1984
An analytic procedure is presented for testing the homogeneity of unstandardized regression weight vectors when the vectors are correlated. The basic design involves repeated measurements on a dependent variable and a set of independent variables. The method is illustrated with a study of perceived leader behavior. (Author/BW)
Descriptors: Correlation, Leadership, Mathematical Models, Regression (Statistics)

Mandell, Marvin B.; Bretschneider, Stuart I. – Evaluation Review, 1984
The authors demonstrate how exponential smoothing can play a role in the identification of the intervention component of an interrupted time-series design model that is analogous to the role that the sample autocorrelation and partial autocorrelation functions serve in the identification of the noise portion of such a model. (Author/BW)
Descriptors: Data Analysis, Evaluation Methods, Graphs, Intervention

Yarnold, Paul R. – Educational and Psychological Measurement, 1984
Unreliable profiles impose the difficulty that ordinal and interval relations among the individual's scores become uncertain or unstable. A profile reliability coefficient is derived to estimate the relative expected extent of this ordinal and interval "inversion" for any profile of K measures. (Author/DWH)
Descriptors: Error of Measurement, Mathematical Models, Profiles, Test Reliability

Steiner, Hans Georg – Educational Studies in Mathematics, 1976
An example of mathematizing a situation and mathematical model-building by means of using a finite geometry is presented. (DT)
Descriptors: Geometry, Instruction, Mathematical Models, Mathematics
Kim, Seock-Ho – 2002
Continuation ratio logits are used to model the possibilities of obtaining ordered categories in a polytomously scored item. This model is an alternative to other models for ordered category items such as the graded response model and the generalized partial credit model. The discussion includes a theoretical development of the model, a…
Descriptors: Ability, Classification, Item Response Theory, Mathematical Models
Garner, Mary; Engelhard, George, Jr. – 1997
This paper considers the following questions: (1) what is the relationship between the method of paired comparisons and Rasch measurement theory? (2) what is the relationship between the method of paired comparisons and graph theory? and (3) what can graph theory contribute to the understanding of Rasch measurement theory? It is specifically shown…
Descriptors: Comparative Analysis, Estimation (Mathematics), Graphs, Item Response Theory
Wang, Jianjun – 2000
Multilevel international data have been released from the Third International Mathematics and Science Study (TIMSS), providing an opportunity to apply multilevel modeling techniques in educational research. In this paper, TIMSS factors are classified in fixed and random categories according to the project design. Classifying fixed and random…
Descriptors: Data Analysis, Elementary Secondary Education, International Studies, Mathematical Models
Harwell, Michael; Serlin, Ronald C. – 2002
When normality does not hold, nonparametric tests represent an important data-analytic alternative to parametric tests. However, the use of nonparametric tests in educational research has been limited by the absence of easily performed tests for complex experimental designs and analyses, such as factorial designs and multiple regression analyses,…
Descriptors: Chi Square, Computer Simulation, Data Analysis, Mathematical Models
Hsu, Yaowen; Ackerman, Terry A.; Fan, Meichu – 1999
It has previously been shown that the Bock-Aitkin procedure (R. Bock and M. Aitkin, 1981) is an instance of the EM algorithm when trying to find the marginal maximum likelihood estimate for a discrete latent ability variable (latent trait). In this paper, it is shown that the Bock-Aitkin procedure is a numerical implementation of the EM algorithm…
Descriptors: Equations (Mathematics), Estimation (Mathematics), Item Response Theory, Mathematical Models

Freund, James L. – Industrial and Labor Relations Review, 1974
This study tested the effects of market forces and unionism on the wages of all municipal employees in a large number of cities. Increases in the average weekly earnings from 1965-1971 were significantly related to intercity differences in market factors. Unionism exerted only a weak influence on city pay scales. (Author/DS)
Descriptors: Employees, Labor Market, Mathematical Models, Municipalities

Bart, William M.; Krus, David J. – Educational and Psychological Measurement, 1973
With the ordering-theoretic method of item hierarchy construction any array of bivalued item data can be analyzed to determine the item hierarchy structure. (Authors)
Descriptors: Item Analysis, Mathematical Models, Measurement Techniques, Organization

Schonemann, Peter H. – Psychometrika, 1972
Paper shows that an obvious generalization of the subjective metrics model by Bloxom, Horan, Carroll and Chang has a very simple algebraic solution which was previously considered by Meredith in a different context. (Author)
Descriptors: Algebra, Analytic Geometry, Mathematical Models, Measurement Techniques

Holman, Eric W. – Psychometrika, 1972
Two models for psychological distances, the hierarchical clustering model and the multidimensional Euclidean model, are compared to see how they relate to each other. (Author/RK)
Descriptors: Geometric Concepts, Mathematical Applications, Mathematical Models, Multidimensional Scaling

Sharpe, D. W. – Mathematical Spectrum, 1971
Descriptors: Algebra, Graphs, Linear Programing, Mathematical Applications