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Ethan Berkove; Ben Galluzzo – PRIMUS, 2024
This curated collection covers a selection of PRIMUS articles published over a roughly 12-year period that focus on modeling and applications. The collection includes sections on individual projects, courses with a significant modeling component, and modeling and applications in extracurricular settings and throughout the curriculum.
Descriptors: Mathematics Education, Undergraduate Study, Mathematical Models, Mathematical Applications
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Zumbo, Bruno D.; And Others – Journal of Experimental Education, 1992
An error in an essential equation within the article by Williams and Zimmerman is corrected, and the algebraic inequalities are translated into questions a researcher can ask about simple or residualized difference scores. Williams and Zimmerman acknowledge the error and note that main conclusions are not affected. (SLD)
Descriptors: Algebra, Comparative Analysis, Equations (Mathematics), Mathematical Models
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Arabie, Phipps – Psychometrika, 1991
The current state of multidimensional scaling using the city-block metric is reviewed, with attention to (1) substantive and theoretical issues; (2) recent algorithmic developments and their implications for analysis; (3) isometries with other metrics; (4) links to graph-theoretic models; and (5) prospects for future development. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Graphs, Literature Reviews
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Joachimsthaler, Erich A.; Stam, Antonie – Multivariate Behavioral Research, 1990
Mathematical programing formulas are introduced as new approaches to solve the classification problem in discriminant analysis. The research literature is reviewed, and an illustration using a real-world classification problem is provided. Issues relevant to potential uses of these formulations are discussed. (TJH)
Descriptors: Classification, Discriminant Analysis, Equations (Mathematics), Literature Reviews
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Widaman, Keith F. – Multivariate Behavioral Research, 1993
Across conditions, differences between population parameters defined by common factor analysis and component analysis are demonstrated. Implications for data analytic and theoretical issues related to choice of analytic model are discussed. Results suggest that principal components analysis should not be used to obtain parameters reflecting latent…
Descriptors: Comparative Analysis, Equations (Mathematics), Estimation (Mathematics), Factor Analysis
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Grossberg, Stephen; Rudd, Michael E. – Psychological Review, 1992
A large body of data is reviewed to support a new theory of motion perception described by S. Grossberg and M. E. Rudd (1989). The Motion Boundary Contour System is used to explain classical and recent data about motion perception that have not been explained by other models. (SLD)
Descriptors: Biological Influences, Cognitive Processes, Epistemology, Equations (Mathematics)
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Chatterjee, Sangit; Yilmaz, Mustafa – Applied Psychological Measurement, 1992
The importance of regression diagnostics in detecting influential data points is discussed, and five statistics are recommended for the applied researcher. The suggested diagnostics were used on a dataset of 24 subjects, and effects were analyzed. Colinearity-based diagnostics and diagnostics for a variety of procedures are discussed. (SLD)
Descriptors: Behavioral Science Research, Diagnostic Tests, Equations (Mathematics), Error of Measurement
Junker, Brian W.; And Others – 1991
Some item response theory (IRT) techniques work in applications even though the usual structural IRT assumptions, and local independence (LI) in particular, do not hold. When the departure from LI is too great, traditional procedures will break down. Although violations of strictly unidimensional, monotone, locally independent latent structure can…
Descriptors: Ability, Equations (Mathematics), Estimation (Mathematics), Item Response Theory
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Guttman, Louis – Multivariate Behavioral Research, 1992
Argues that Jensen's article contains an inaccurate and misleading account of Spearman's work and distorts the basic concepts of factor analysis. The target article has failed in all its main objectives; its major failing is a result of the irrelevance of factor analysis to the study of group differences. (SLD)
Descriptors: Blacks, Equations (Mathematics), Factor Analysis, Groups
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Hedges, Larry V.; Friedman, Lynn – Review of Educational Research, 1993
Analyzes effect sizes in tails of distribution of scores in Feingold's study of joint effects of gender differences in mean and variability on 28 cognitive-ability scales. Effect sizes are smaller than Feingold assumed. Evaluates joint effect of gender differences by number of males and females in extreme score ranges. (SLD)
Descriptors: Cognitive Tests, Effect Size, Equations (Mathematics), Females
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Rubinfeld, Daniel L. – Evaluation Review, 1991
Issues surrounding a recent voting rights case in Los Angeles (California) are discussed and evaluated in this introduction to the remainder of this special issue. The most important issues are geographical compactness, political cohesiveness, and racial voting blocs. (SLD)
Descriptors: Census Figures, Court Litigation, Demography, Equations (Mathematics)