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Sak, Ugur – Roeper Review, 2009
In this study, psychometric properties of the test of the three-mathematical minds (M3) were investigated. The M3 test was developed based on a multidimensional conception of giftedness to identify mathematically talented students. Participants included 291 middle-school students. Data analysis indicated that the M3 had a 0.73 coefficient as a…
Descriptors: Academically Gifted, Factor Analysis, Psychometrics, Ability Identification
Peer reviewedBookstein, Abraham – Information Processing and Management, 1975
Discusses the modelling of library circulation systems. (PF)
Descriptors: Library Circulation, Mathematical Models
PDF pending restorationDavis, Charles E. – 1976
Bayesian techniques were developed for approximating the joint and marginal distributions of universe scores in single-facit-mixed-model designs with unknown covariance structure. Empirical results indicate that when compared with Cronbach's estimates, marginal means obtained through this procedure are substantially better predictors of subsequent…
Descriptors: Bayesian Statistics, Mathematical Models
Peer reviewedFink, Edward L.; Mabee, Timothy I. – Sociological Methods and Research, 1978
When a linear structural equation model results in nonlinear procedures for solution, multiple (but finite) sets of solutions may be possible, even with population data. An example of a three-variable feedback system is given in which two sets of solutions may be generated. (Author/CTM)
Descriptors: Mathematical Models, Statistical Analysis
Peer reviewedBookstein, Abraham – Library Quarterly, 1976
One of the more surprising findings in the information sciences is the recurrence of a small number of frequency distributions. In this paper, these distributions are described, and a point of view is adopted that allows us to understand them as being different versions of a single distribution. (Author)
Descriptors: Mathematical Models, Statistical Analysis
Roberts, James S.; Bao, Han; Huang, Chun-Wei; Gagne, Phill – 2003
Characteristic curve approaches for linking parameters from the generalized partial credit model were examined for cases in which common (anchor) items are calibrated separately in two groups. Three of these approaches are simple extensions of the test characteristic curve (TCC), item characteristic curve (ICC), and operating characteristic curve…
Descriptors: Estimation (Mathematics), Mathematical Models
Hodel, M. L. – Instructor, 1971
Mathematical models in which operators are used are described. (DB)
Descriptors: Mathematical Models, Mathematics Instruction
Peer reviewedFishburn, Peter C. – Psychometrika, 1980
A model for the utility of gambling that is based on Von Neumann-Morgenstern utility theory is proposed and analyzed. Aspects of the utility of gambling are noted, and comparisons are made to standard concepts of risk attitudes. (Author/JKS)
Descriptors: Games, Mathematical Models, Risk
Peer reviewedLin, Ting Hsiang; Dayton, C. Mitchell – Journal of Educational and Behavioral Statistics, 1997
The use of these three model selection information criteria for latent class models was studied for nonnested models: (1) Akaike's information criterion (H. Akaike, 1973) (AIC); (2) the Schwarz information (G. Schwarz, 1978) (SIC) criterion; and (3) the Bozdogan version of the AIC (CAIC) (H. Bozdogan, 1987). Situations in which each is preferable…
Descriptors: Criteria, Mathematical Models, Selection
Peer reviewedDzhafarov, Ehtibar N. – Psychometrika, 2003
Presents a generalization and improvement for the definition proposed by E. Dzhafarov (2001) for selectiveness in the dependence of several random variables on several (sets of) external factors. This generalization links the notion of selective influence with that of conditional independence. (SLD)
Descriptors: Definitions, Mathematical Models, Selection
Peer reviewedCandel, Math J. J. M. – Psychometrika, 1997
Explored the use of additive tree models to represent set-symmetric distances for feature arrangements in set-theoretic or feature models. Studied arrangements of feature sets that have been proposed to represent qualitative and quantitative variation among objects in situations in which feature structures are defined in various ways. (SLD)
Descriptors: Mathematical Models, Set Theory
Peer reviewedWilcox, Rand R. – Psychometrika, 1989
Recent attempts have been made to find a robust method for comparing the variances of "J" dependent random variables. However, these procedures can give unsatisfactory results. Several new procedures that are derived heuristically are examined. The most effective method is based on the statistic derived by D. Quade. (TJH)
Descriptors: Heuristics, Mathematical Models, Psychometrics
Peer reviewedBlozis, Shelley M.; Cudeck, Robert – Journal of Educational and Behavioral Statistics, 1999
Presents a version of the nonlinear mixed-effects model that allows random effects only on the linear coefficients, and in which nonlinear parameters are not stochastic. Highlights the flexibility of the model and illustrates features through two examples. (SLD)
Descriptors: Equations (Mathematics), Mathematical Models
Peer reviewedRovine, Michael J.; Molenaar, Peter C. M. – Multivariate Behavioral Research, 2000
Presents a method for estimating the random coefficients model using covariance structure modeling and allowing one to estimate both fixed and random effects. The method is applied to real and simulated data, including marriage data from J. Belsky and M. Rovine (1990). (SLD)
Descriptors: Estimation (Mathematics), Mathematical Models
Peer reviewedKwan, C. W.; Fung, W. K. – Psychometrika, 1998
General formulas are derived for assessing local influence under restrictions in which the first derivatives are still zeros, and then these results are applied to factor analysis, as the usually used restriction in factor analysis satisfies the conditions. (SLD)
Descriptors: Factor Analysis, Mathematical Models

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