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Cahan, Sorel – Educational and Psychological Measurement, 1986
This paper points out the logical, theoretical, and statistical problems associated with the computation of the "pooled-within" correlation coefficient in partially segregated educational systems. (Author/LMO)
Descriptors: Correlation, Educational Research, Heterogeneous Grouping, Homogeneous Grouping
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Watkins, David; Astilla, Estela – Educational and Psychological Measurement, 1986
Based on data from 411 Filipino secondary school students, the hypothesis was tested that press for achievement from parents, peers, and teachers mediates the relationship between school grades from one year to the next. No support was found for this contention after linear and curvilinear regression models were examined. (Author/LMO)
Descriptors: Academic Achievement, Correlation, Foreign Countries, Grades (Scholastic)
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Cannon, Larry – College Mathematics Journal, 1986
The rational plane, consisting of the points in the Cartesian plane having two rational coordinates, is a model in which certain properties do not hold. Nine theorems are discussed. (MNS)
Descriptors: College Mathematics, Geometric Concepts, Higher Education, Mathematical Models
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de Leeuw, Jan; Verhelst, Norman – Journal of Educational Statistics, 1986
Maximum likelihood procedures are presented for a general model to unify the various models and techniques that have been proposed for item analysis. Unconditional maximum likelihood estimation, proposed by Wright and Haberman, and conditional maximum likelihood estimation, proposed by Rasch and Andersen, are shown as important special cases. (JAZ)
Descriptors: Algorithms, Estimation (Mathematics), Item Analysis, Latent Trait Theory
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Mislevy, Robert J. – Psychometrika, 1986
This article describes a Bayesian framework for estimation in item response models, with two-stage distributions on both item and examinee populations. Strategies for point and interval estimation are discussed, and a general procedure based on the EM algorithm is presented. (Author/LMO)
Descriptors: Algorithms, Bayesian Statistics, Estimation (Mathematics), Latent Trait Theory
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Becker, William E.; Williams, Arlington W. – Economics of Education Review, 1986
Develops a model of ideal minority representation to assess whether or not an employer's current personnel policies are consistent with a random hiring policy. The model is then applied to a case alleging sex discrimination in the hiring practices of a university academic department. Appended are 12 references. (MLF)
Descriptors: Affirmative Action, Case Studies, Employment Practices, Females
Sharma, Raj – Journal of Tertiary Educational Administration, 1986
A mathematical model for costing college courses, designed for purposes of accountability, subprogram cost analysis, marketing to foreign students (in Australia), and course cost analysis across institutions, is presented and discussed. (MSE)
Descriptors: College Administration, Costs, Courses, Educational Economics
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Burrell, Quentin L. – Journal of Documentation, 1986
Correlation structure of the Burrell and Cane mixed Poisson model for library loans with aging is presented and illustrated by data from University of Sussex. The approach is compared and contrasted with that originally formulated by Morse and recently reevaluated by Beheshti and Tague. Directions for future investigations are suggested. (Author)
Descriptors: Correlation, Library Circulation, Library Materials, Literature Reviews
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Mathematics Teacher, 1986
Included are brief articles on multiplication of negative integers and testing knowledge by asking true-false questions that involve a relatively high level of abstraction. A number of specific examples are included. (MNS)
Descriptors: Integers, Mathematical Models, Mathematics Instruction, Questioning Techniques
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Levin, Joseph – Multivariate Behavioral Research, 1986
The relation between the power of a significance test in a block design with correlated measurements and the reliability of the measuring instrument is analyzed in terms of the components of variance entering the reliability coefficient and the noncentrality parameter. (Author/LMO)
Descriptors: Analysis of Variance, Hypothesis Testing, Mathematical Models, Power (Statistics)
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Ethington, Corinna A.; Wolfle, Lee M. – American Educational Research Journal, 1986
A latent-construct causal model of the process of mathematics achievement is presented. When the model was compared between men and women, it was found that mathematics ability and attitudes toward mathematics had stronger effects on mathematics achievement for men than for women. (Author/LMO)
Descriptors: Correlation, Grade 10, High Schools, Mathematical Models
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Muthen, Bengt; Lehman, James – Journal of Educational Statistics, 1985
The applicability of a new multiple-group factor analysis of dichotomous variables is shown and contrasted with the item response theory approach to item bias analysis. Situations are considered where the same set of test items has been administered to more than one group of examinees. (Author/BS).
Descriptors: Factor Analysis, Item Analysis, Latent Trait Theory, Mathematical Models
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Rachman-Moore, Dalia; Wolfe, Richard G. – Journal of Educational Statistics, 1984
A statistical model is proposed that describes the determination of an educational outcome variable as a nonlinear function of explanatory variables defined at different levels of a survey data hierarchy, such as students and classes. The theoretical and practical derivation of the model is discussed, and an example is given. (Author/BW)
Descriptors: Academic Achievement, Educational Assessment, Elementary Secondary Education, Mathematical Models
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Chilvers, Peter – Australian Mathematics Teacher, 1984
A model for directed numbers, using a sentry moving along the number line, is described. (MNS)
Descriptors: Computation, Elementary Secondary Education, Integers, Mathematical Models
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Hedges, Larry V. – New Directions for Program Evaluation, 1984
The adequacy of traditional effect size measures for research synthesis is challenged. Analogues to analysis of variance and multiple regression analysis for effect sizes are presented. The importance of tests for the consistency of effect sizes in interpreting results, and problems in obtaining well-specified models for meta-analysis are…
Descriptors: Analysis of Variance, Effect Size, Mathematical Models, Meta Analysis
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