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Peer reviewedSamejima, Fumiko – Psychometrika, 1993
F. Samejima's approximation for the bias function for the maximum likelihood estimate of the latent trait in the general case where item responses are discrete is explored. Observations are made about the behavior of this bias function for the dichotomous response level in general. Empirical examples are given. (SLD)
Descriptors: Ability, Equations (Mathematics), Estimation (Mathematics), Graphs
Peer reviewedDe Soete, Geert; Winsberg, Suzanne – Psychometrika, 1993
A probabilistic choice model, based on L. L. Thurstone's Law of Comparative Judgment Case V, is developed for paired comparisons data about psychological stimuli. The model assumes that each stimulus is measured on a small number of physical variables. An algorithm for estimating parameters is illustrated with real data. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Estimation (Mathematics), Graphs
Peer reviewedKnott, M.; Bartholomew, D. J. – Psychometrika, 1993
Scoring of response vectors to give maximum test-retest correlation is investigated. A general method is given for finding the best scores, deriving them for the normal factor model, and showing that for a standard model for binary response it is easy to approximate the best scores. (SLD)
Descriptors: Correlation, Equations (Mathematics), Factor Analysis, Mathematical Models
Peer reviewedArmstrong, Ronald D.; Jones, Douglas H. – Applied Psychological Measurement, 1992
Polynomial algorithms are presented that are used to solve selected problems in test theory, and computational results from sample problems with several hundred decision variables are provided that demonstrate the benefits of these algorithms. The algorithms are based on optimization theory in networks (graphs). (SLD)
Descriptors: Algorithms, Decision Making, Equations (Mathematics), Mathematical Models
Peer reviewedSloman, Steven A. – Cognitive Psychology, 1993
A connectionist model of argument strength that applies to categorical arguments involving natural categories and predicates about which subjects have few prior beliefs is proposed. This feature-based model was tested in argument strength rating studies with 34 undergraduates, and its validity is discussed. (SLD)
Descriptors: Beliefs, Classification, Equations (Mathematics), Higher Education
Peer reviewedFava, Joseph L.; Velicer, Wayne F. – Multivariate Behavioral Research, 1992
Principal component, image component, three types of factor score estimates, and one scale score method were compared over different levels of variables, saturations, sample sizes, variable to component ratios, and pattern rotations. There were virtually no overall differences among methods, with the average correlation between matched scores…
Descriptors: Comparative Analysis, Correlation, Equations (Mathematics), Estimation (Mathematics)
Peer reviewedDynarski, Mark – Evaluation Review, 1993
The problem of measuring impacts of employment and training programs when workers not receiving services are affected by the program is explored, using a reemployment bonus program as an example. The conventional measures of bonus impacts may significantly overestimate the net impact of the bonus offer. (SLD)
Descriptors: Employment Programs, Evaluation Methods, Federal Programs, Government Role
Peer reviewedGuttman, Ruth; And Others – Applied Psychological Measurement, 1990
After a brief review of the contributions of factor analysis and regional analysis to the elaboration of the structures of spatial abilities, a facet design and regional model for spatial abilities are presented. A cylindrical-wedge model is proposed to represent the correlational structure of spatial ability tests. (SLD)
Descriptors: Cognitive Structures, Epistemology, Factor Analysis, Intelligence
Peer reviewedWong, S. K. M.; Yao, Y. Y. – Journal of the American Society for Information Science, 1990
Describes a theoretical model based on binary vectors that was developed to improve relevance in information retrieval systems. Earlier probabilistic models are examined, quadratic and linear discriminant functions are discussed, relationships between queries and documents are considered, and further research is suggested. (15 references) (LRW)
Descriptors: Discriminant Analysis, Documentation, Information Retrieval, Mathematical Models
Peer reviewedBedrick, Edward J. – Psychometrika, 1990
Asymptotic distributions of H. Brogden's and F. Lord's modified sample biserial correlation coefficients (SBCCs) are derived. Asymptotic variances of these estimators are evaluated for bivariate normal populations and compared to the maximum likelihood estimator's asymptotic variance. These estimators are less variable than ordinary SBCCs when the…
Descriptors: Correlation, Equations (Mathematics), Estimation (Mathematics), Mathematical Models
Peer reviewedWilliamson, Gary L. – Journal of Experimental Education, 1990
A growth curve approach to longitudinal profile analysis is presented by which univariate and multivariate descriptions of achievement and rate of growth are provided, and intraindividual strengths and weaknesses are computed for profiles of achievement and progress. Analyses are reported for simulated data conforming to a straight-line growth…
Descriptors: Academic Achievement, Achievement Gains, Data Analysis, Individual Characteristics
Peer reviewedMazur, Zygmunt – Information Processing and Management, 1994
Discusses distributed information retrieval systems that take into account the weights of descriptors from thesauri. Topics addressed include a mathematical model for information retrieval subsystems; organization of inverted files; models for the distributed homogeneous information systems; a distributed information retrieval system based on…
Descriptors: Computer Networks, Information Retrieval, Information Systems, Mathematical Formulas
Peer reviewedRogers, H. Jane; Swaminathan, Hariharan – Applied Psychological Measurement, 1993
Performance of the logistic regression (LR) procedure was compared to that of the Mantel Haenszel (MH) procedure in the detection of uniform and nonuniform differential item functioning on a simulation examining distributional properties of the LR and MH test statistics and the relative power of the two procedures. (SLD)
Descriptors: Comparative Analysis, Computer Simulation, Item Bias, Mathematical Models
Peer reviewedSwanson, Len; Stocking, Martha L. – Applied Psychological Measurement, 1993
A model for solving very large item selection problems is presented. The model builds on binary programming applied to test construction. A heuristic for selecting items that satisfy the constraints in the model is also presented, and various problems are solved using the model and heuristic. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Heuristics, Item Response Theory
Peer reviewedBraun, Henry I.; Zwick, Rebecca – Journal of Educational Statistics, 1993
An approach to empirical Bayes analysis of aggregated survival data from different groups of subjects is presented based on a contingency table representation of data using transformations to permit the use of normal priors. Analysis of families of survival curves leads to improvements over classical estimates. (SLD)
Descriptors: Bayesian Statistics, Degrees (Academic), Educational Attainment, Equations (Mathematics)


