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Wild, Bradford S.; Cabral, Robert M. – Educational and Psychological Measurement, 1976
Two models for scaling of paired comparison data are compared to the Thurstone case III model. Two goodness of fit indices are presented for each model for five data sets. The results illustrate the inability of the Thurstone model to adequately account for data when the scale includes extreme stimuli. (Author)
Descriptors: Mathematical Models, Matrices, Statistical Analysis
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Wells, Donald G.; Fruchter, Benjamin – Educational and Psychological Measurement, 1970
Descriptors: Correlation, Mathematical Models, Statistical Analysis
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Price, Lewis C. – Psychometrika, 1980
Two algorithms based on a latent class model are presented for discovering hierarchical relations that exist among a set of dichotomous items. The algorithms presented, and three competing deterministic algorithms are compared using computer-generated data. (Author/JKS)
Descriptors: Algorithms, Mathematical Models, Statistical 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
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
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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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Choulakian, Vartan – Psychometrika, 1996
Generalized bilinear models are presented for the statistical analysis of two-way arrays. These models combine bilinear models and generalized linear modeling, and yield a family that includes many useful models. A three-step procedure is presented for analyzing data sets by generalized bilinear models. (SLD)
Descriptors: Equations (Mathematics), Mathematical Models, Statistical Analysis
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Curran, Patrick J.; Bauer, Daniel J. – Psychological Methods, 2007
Multilevel models have come to play an increasingly important role in many areas of social science research. However, in contrast to other modeling strategies, there is currently no widely used approach for graphically diagramming multilevel models. Ideally, such diagrams would serve two functions: to provide a formal structure for deriving the…
Descriptors: Equations (Mathematics), Social Science Research, Social Sciences, Mathematical Models
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Massetti, Greta M.; Crean, Hugh; Johnson, Deborah; DuBois, David; Ji, Peter – Journal of Research in Character Education, 2009
Interventions that aim to promote social competence, reduce problem behavior, and improve school climate are common at all levels of schooling. This whole-school focus, coupled with researchers' concerns about contamination or spillover effects in evaluations that randomly assign classrooms or students to conditions, as well as advances in…
Descriptors: Intervention, Prevention, Recruitment, Interpersonal Competence
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Glockmann, H. P.; Ludwig, B. M. – Journal of the American Society for Information Science, 1975
A statistical description of a text retrieval system allows the derivation of a unique and measurable performance criterion that, in turn, may be used in discussing various parameters of systems performance. (Author/PF)
Descriptors: Databases, Information Retrieval, Mathematical Models, Statistical Analysis
SAW, J.G. – 1964
THIS VOLUME DEALS WITH THE BIVARIATE NORMAL DISTRIBUTION. THE AUTHOR MAKES A DISTINCTION BETWEEN DISTRIBUTION AND DENSITY FROM WHICH HE DEVELOPS THE CONSEQUENCES OF THIS DISTINCTION FOR HYPOTHESIS TESTING. OTHER ENTRIES IN THIS SERIES ARE ED 003 044 AND ED 003 045. (JK)
Descriptors: Hypothesis Testing, Mathematical Models, Mathematics, Statistical Analysis
Willson, Victor L. – 1973
A model for the integrated moving averages process of order one, IMA (1, 1), having a seasonal (cyclic) component is presented. The model incorporates a parameter for possible change in level of the process after intervention, following methods developed by Box and Tiao (1965), and Glass, Willson, and Gottmann (1972). Least-squares estimates and…
Descriptors: Linear Programing, Mathematical Models, Speeches, Statistical Analysis
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Johnson, Thomas – American Economic Review, 1978
Explores the properties of a life cycle model of human capital accumulation under the assumptions that the individual cannot borrow to finance his schooling, but may receive an allowance while specializing. (Author/IRT)
Descriptors: Human Capital, Mathematical Models, Statistical Analysis, Students
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Sampson, Allan R. – Journal of Multivariate Analysis, 1976
Consistent, asymptotically efficient and asymptotically normal stepwise estimators are given for a subclass of the uniparametric and multiparametric exponential families. Estimators are derived from the Robbins-Monro stochastic approximation procedure with certain families of random variables arising from the normalized log-likehood. Three…
Descriptors: Mathematical Models, Maximum Likelihood Statistics, Statistical Analysis
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Goetschel, Roy; Voxman, William – Journal of the American Society for Information Science, 1987
Relations on a finite set V are viewed as weighted graphs. Using the language of graph theory, two methods of partitioning V are examined: selecting threshold values and applying them to a maximal weighted spanning forest, and using a parametric linear program to obtain a most adhesive partition. (Author/EM)
Descriptors: Graphs, Mathematical Models, Research Methodology, Statistical Analysis
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