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Marcoulides, George A.; Goldstein, Zvi – Educational and Psychological Measurement, 1991
A method is presented for determining the optimal number of conditions to use in measurement designs when resource constraints are imposed. The method is illustrated using a multivariate two-facet design, and extensions to other designs are discussed. (SLD)
Descriptors: Budgeting, Data Collection, Efficiency, Equations (Mathematics)

van der Ven, A. H. G. S.; Gremmen, F. M. – Applied Psychological Measurement, 1992
A statistical test of the knowledge or random guessing model is presented. A version of the model is introduced in which it is assumed that alternatives can be ordered according to a Guttman scale. Three examples illustrate its application to data from a total of 590 college students. (Author/SLD)
Descriptors: Achievement Tests, College Students, Equations (Mathematics), Guessing (Tests)

Samejima, 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

De 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

Knott, 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

Armstrong, 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

Sloman, 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

Fava, 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)

Dynarski, 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

Guttman, 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

Wong, 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

Bedrick, 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

Williamson, 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

Mazur, 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

Rogers, 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