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Peer reviewedSubkoviak, Michael J. – Journal of Educational Measurement, 1976
A number of different reliability coefficients have recently been proposed for tests used to differentiate between groups such as masters and nonmasters. One promising index is the proportion of students in a class that are consistently assigned to the same mastery group across two testings. The present paper proposes a single test administration…
Descriptors: Criterion Referenced Tests, Mastery Tests, Mathematical Models, Probability
Peer reviewedPedersen, Kjeld Moller – Administrative Science Quarterly, 1977
Suggests a framework for evaluation studies, discusses possible classifications of evaluation studies, and makes a distinction between evaluation and policy studies. The possible uses of evaluation studies are shown as they relate to kinds of decisions and the organizational framework in which decision-making takes place. (Author/IRT)
Descriptors: Decision Making, Evaluation, Evaluation Methods, Mathematical Models
Peer reviewedMacCallum, Robert C.; Kim, Cheongtag; Malarkey, William B.; Kiecolt-Glaser, Janice K. – Multivariate Behavioral Research, 1997
Methods for studying relationships between patterns of change on different variables are considered, showing how the multilevel modeling framework, often used to study univariate change, can be extended to the multivariate case to yield estimates of covariances of parameters representing aspects of change for different variables. (SLD)
Descriptors: Change, Estimation (Mathematics), Item Response Theory, Mathematical Models
Peer reviewedBast, Janwillem; Reitsma, Pieter – Multivariate Behavioral Research, 1997
Two competing longitudinal models, the latent growth curve model and the Simplex model, are used to represent the Matthew effect hypothesis (K. Stanovich, 1986) that the gap between good and poor readers increases with time. Theoretical and empirical arguments support the Simplex model, although it is argued that it should be refined and…
Descriptors: Elementary Education, High Achievement, Low Achievement, Mathematical Models
Peer reviewedHuberty, Carl J.; Lowman, Laureen L. – Educational and Psychological Measurement, 1997
Predictive discriminant analysis and descriptive discriminant analysis are described, and the use of three popular statistical packages to obtain computational results for each type of discriminant analysis is reviewed. Results from two Biomedical Computer Program (BMDP), four Statistical Analysis System, and two Statistical Package for the Social…
Descriptors: Computer Software, Discriminant Analysis, Mathematical Models, Prediction
Peer reviewedHolyoak, Keith J.; Thagard, Paul – American Psychologist, 1997
The use of analogy in human thinking is examined from the perspective of a multiconstraint theory that postulates similarity, structure, and purpose as three kinds of constraints. The theory has been implemented in computational simulations of the analogical human mind using the Analogical Mapping by Constraint Satisfaction (ACME) model. (SLD)
Descriptors: Analogy, Cognitive Psychology, Educational Theories, Mathematical Models
Peer reviewedHullett, Craig R.; Levine, Timothy R. – Communication Monographs, 2003
Notes that because estimates of effect sizes are often either misreported or not reported at all, meta-analysts must use conversion formulas that allow estimates of effect sizes from information available. Focuses on formulas that convert "F" in ANOVA, a statistical test, to eta-squared, "d," or the correlation equivalent. Demonstrates that the…
Descriptors: Effect Size, Estimation (Mathematics), Higher Education, Mathematical Models
Peer reviewedBechger, Timo M.; Verstralen, Huub H. F. M.; Verhelst, Norma D. – Psychometrika, 2002
Discusses the Linear Logistic Test Model (LLTM) and demonstrates that there are many equivalent ways to specify a model. Analyzed a real data set (300 responses to 5 analogies) using a Lagrange multiplier test for the specification of the model, and demonstrated that there may be many ways to change the specification of an LLTM and achieve the…
Descriptors: Equations (Mathematics), Goodness of Fit, Item Response Theory, Mathematical Models
Peer reviewedBoaler, Jo – Teaching Mathematics and Its Applications, 2001
Demonstrates the importance of expanding notions of learning beyond knowledge to the practices in mathematics classrooms. Considers a three-year study of students who learned through mathematical modeling. Shows that a modeling approach encouraged the development of a range of important practices in addition to knowledge that were useful in real…
Descriptors: Learning Theories, Longitudinal Studies, Mathematical Models, Mathematics Education
Peer reviewedWatson, Jane M.; Moritz, Jonathan B. – Educational Studies in Mathematics, 2001
Proposes a developmental model involving four response levels concerning how students arrange pictures to represent data in a pictograph, how they interpret these pictographs, and how they make predictions based on these pictographs. The model is exemplified by responses from three related interview-based studies. Discusses educational…
Descriptors: Elementary Secondary Education, Mathematical Models, Mathematics Education, Thinking Skills
Peer reviewedMayer-Foulkes, David – Economics of Education Review, 2002
Develops an inter-temporal optimization model linking academic achievement reputation, and the pool of student quality available to an institution. Describes empirical study of student-quality dynamics and its relation to the model. Finds that SAT levels of attracted students follow a convergent process as predicted, with graduation rates,…
Descriptors: College Choice, Enrollment Influences, Graduation, Higher Education
Peer reviewedBart, William M.; Williams-Morris, Ruth – Applied Measurement in Education, 1990
Refined item digraph analysis (RIDA) is a way of studying diagnostic and prescriptive testing. It permits assessment of a test item's diagnostic value by examining the extent to which the item has properties of ideal items. RIDA is illustrated with the Orange Juice Test, which assesses the proportionality concept. (TJH)
Descriptors: Diagnostic Tests, Evaluation Methods, Item Analysis, Mathematical Models
Peer reviewedMcClelland, James L. – Cognitive Psychology, 1991
Mathematical analysis and computer simulation methods are used to show that interactive models of context effects can exhibit classical context effects if there is variability in the input to the network or the network itself. Interactive models represent hypotheses about information-processing dynamics leading to the global asymptotic behaviors…
Descriptors: Computer Simulation, Context Effect, Equations (Mathematics), Graphs
Peer reviewedNosofsky, Robert M. – Cognitive Psychology, 1991
This paper proposes that patterns of proximity data that have been characterized in terms of asymmetric similarity may be alternatively characterized in terms of differential bias. An additive similarity and bias model is reviewed, and it is proposed that biases can be stimulus based as well as response based. (SLD)
Descriptors: Bias, Classification, Equations (Mathematics), Mathematical Models
Peer reviewedHolmes, D. J. – Psychometrika, 1990
A theoretical framework is developed in which the effects of some common forms of violation of assumptions of linearity of regression and homoscedasticity can be investigated. Simple expressions are derived for the restricted and corrected correlations in terms of the target (unrestricted) correlation in these situations. (SLD)
Descriptors: Correlation, Equations (Mathematics), Mathematical Models, Regression (Statistics)


