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Raju, Nambury S. – Psychometrika, 1988
Formulas for computing the exact signed and unsigned areas between two item characteristic curves (ICCs) are presented. It is further shown that when the "c" parameters are unequal, the area between two ICCs is infinite. The significance of the exact area measures for item bias research is discussed. (Author)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Item Analysis, Latent Trait Theory

Ashby, F. Gregory; Perrin, Nancy A. – Psychological Review, 1988
Using general recognition theory, a new theory of similarity is developed, postulating that perceived similarity is determined by distributional overlap. This theory is related to existing theories of similarity. Three experiments using a total of 19 university students are presented, testing the empirical validity of the theory. (SLD)
Descriptors: Cognitive Psychology, College Students, Equations (Mathematics), Higher Education

Kaplan, David – Multivariate Behavioral Research, 1989
The sampling variability and zeta-values of parameter estimates for misspecified structural equation models were examined. A Monte Carlo study was used. Results are discussed in terms of asymptotic theory and the implications for the practice of structural equation models. (SLD)
Descriptors: Error of Measurement, Estimation (Mathematics), Mathematical Models, Monte Carlo Methods

Wilson, Mark – Applied Psychological Measurement, 1988
A method for detecting and interpreting disturbances of the local-independence assumption among items that share common stimulus material or other features is presented. Dichotomous and polytomous Rasch models are used to analyze structure of the learning outcome superitems. (SLD)
Descriptors: Item Analysis, Latent Trait Theory, Mathematical Models, Test Interpretation

Guttman, Louis – Psychometrika, 1988
Two discrimination coefficients, known as "disco" and "odisco," are proposed for measuring the extent of overlap in distributions as a direct function of the variance between the arithmetic means. These coefficients are related to K. Pearson's "eta" (1905) and R. A. Fisher's "F" (1950). (SLD)
Descriptors: Analysis of Variance, Computer Software, Discriminant Analysis, Equations (Mathematics)

Reckase, Mark D.; And Others – Journal of Educational Measurement, 1988
It is demonstrated, theoretically and empirically, that item sets can be selected that meet the unidimensionality assumption of most item response theory models, even though they require more than one ability for a correct response. A method for identifying such item sets for test development purposes is presented. (SLD)
Descriptors: Computer Simulation, Item Analysis, Latent Trait Theory, Mathematical Models

Carter, Randy L.; And Others – Psychometrika, 1989
The partitioning of squared Euclidean--E(sup 2)--distance between two vectors in M-dimensional space into the sum of squared lengths of vectors in mutually orthogonal subspaces is discussed. Applications to specific cluster analysis problems are provided (i.e., to design Monte Carlo studies for performance comparisons of several clustering methods…
Descriptors: Cluster Analysis, Distance, Mathematical Models, Monte Carlo Methods

Frei, H. P.; Stieger, D. – Information Processing & Management, 1995
Highlights semantic links and shows how the semantic content of hypertext links can be used for information retrieval. Discussion includes indexing and retrieval algorithms that exploit link content and node content; retrieval strategies exploiting semantic links, including conventional retrieval and constrained spreading activation techniques;…
Descriptors: Algorithms, Experiments, Graphs, Hypermedia

Glanzel, W.; Schubert, A. – Information Processing & Management, 1995
A statistical model for citation processes is presented as a particular version of a nonhomogenous birth process. The mean value function and special transition probabilities, which can readily be calculated on the basis of known and estimated parameters, give essential information on the change of citation impact in time. (10 references) (KRN)
Descriptors: Bibliometrics, Citation Analysis, Graphs, Mathematical Models

Kraines, David; Kraines, Vivian – Journal of Conflict Resolution, 1995
Pavlov denotes a family of stochastic learning strategies that achieves the mutually cooperative outcome in the iterated prisoner's dilemma against a wide variety of strategies. Although faster learners will eventually dominate a given homogeneous Pavlov population, the process must proceed through a gradual increase in the rate of learning. (JBJ)
Descriptors: Educational Games, Evolution, Learning, Learning Strategies

DiCarlucci, Joseph A. – School Science and Mathematics, 1995
Presents a secondary classroom investigation into mathematical modeling techniques with the graphing calculator using a match stick puzzle. Geometric models, through their corresponding area formulas, are constructed, tested, and analyzed graphically to fit specified problem conditions. (Author/MKR)
Descriptors: Geometry, Graphing Calculators, Graphs, Mathematical Models

Howe, Mark L. – Journal of Experimental Child Psychology, 1994
Notes advantages of using dynamic models to understand cognitive functioning: (1) they are specifically intended to represent changes that systems undergo as they evolve; (2) they can capture change in a continuous fashion; (3) they can account for development of behavior that appears orderly at times and disorderly at others, and (4) chaotic…
Descriptors: Behavior Development, Chaos Theory, Cognitive Development, Developmental Stages

Johnson, Blair T.; Turco, Robin Maria – Communication Monographs, 1992
Recommends that analysts (1) use conventional meta-analytic statistics when testing for moderator variables; (2) perform tests between mean effect sizes; and (3) continue to perform model tests in meta-analyses for which study outcomes are already consistent if they have theoretical expectations about moderators. (RS)
Descriptors: Effect Size, Goodness of Fit, Mathematical Models, Meta Analysis

Kiers, Henk A. L.; And Others – Psychometrika, 1992
A modification of the TUCKALS3 algorithm is proposed that handles three-way arrays of order I x J x K for any I. The reduced work space needed for storing data and increased execution speed make the modified algorithm very suitable for use on personal computers. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Least Squares Statistics, Mathematical Models

Valente, Thomas W. – Journal of Communication, 1993
Presents a general mathematical model of the diffusion of innovations that incorporates mass media and interpersonal influence. Suggests that policymakers can use diffusion models to evaluate the effectiveness of media versus interpersonal campaigns, make comparisons between subgroups, and evaluate the effect of a policy. (RS)
Descriptors: Communication Research, Interpersonal Relationship, Mass Media, Mass Media Role