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Cohen, Patricia; And Others – Applied Psychological Measurement, 1990
Problems in the measurement of latent variables (LVs) in structural equations causal models are presented, with examples from recent empirical studies. Main issues addressed are (1) two general types of increased operative variables; (2) criteria for indicators of LVs; and (3) disattenuation effects in LV models. (SLD)
Descriptors: Causal Models, Literature Reviews, Mathematical Models, Measurement Techniques

Viernstein, Nikolaus – Educational and Psychological Measurement, 1990
A new coefficient--psi-star--is presented for measuring agreement on bidirectional response continua. The coefficient is designed to measure agreement in larger square contingency tables with even numbers of rows and columns. Advantages of the procedure are discussed. (SLD)
Descriptors: Correlation, Equations (Mathematics), Mathematical Models, Rating Scales

Reise, Steve P.; Yu, Jiayuan – Journal of Educational Measurement, 1990
Parameter recovery in the graded-response model was investigated using the MULTILOG computer program under default conditions. Results from 36 simulated data sets suggest that at least 500 examinees are needed to achieve adequate calibration under the graded model. Sample size had little influence on the true ability parameter's recovery. (SLD)
Descriptors: Computer Assisted Testing, Computer Simulation, Computer Software, Estimation (Mathematics)

Fligner, Michael A.; Verducci, Joseph S. – Psychometrika, 1990
The concept of consensus ordering is defined, and formulas for exact and approximate posterior probabilities for consensus ordering are developed under the assumption of a generalized Mallows' model with a diffuse conjugate prior. These methods are applied to a data set concerning 98 college students. (SLD)
Descriptors: Bayesian Statistics, College Students, Equations (Mathematics), Estimation (Mathematics)

Schroeder, Marsha L.; Hakstian, A. Ralph – Psychometrika, 1990
A 2-facet measurement model is identified, and its coefficient of generalizability (CG) is examined. Three other multifaceted measurement models and their CGs are identified. An empirical investigation of all four procedures is conducted using data from a study of the psychopathology of 71 prison inmates. (SLD)
Descriptors: Comparative Analysis, Equations (Mathematics), Generalizability Theory, Mathematical Models

Jannarone, Robert J.; And Others – Psychometrika, 1990
A Bayes estimation procedure for Rasch-type model estimation that has statistical and computational advantages over existing methods is described. It involves constructing posterior distributions based on sample data and artificial data reflecting prior information. Its use for some Rasch-type cases, and how it can improve parameter estimation are…
Descriptors: Bayesian Statistics, Equations (Mathematics), Estimation (Mathematics), Item Response Theory

Nicholls, Paul Travis – Journal of the American Society for Information Science, 1989
Examines the elements involved in fitting a bibliometric model to empirical data, proposes a consistent methodology for applying Lotka's law, and presents the results of an empirical test of the methodology. The results are discussed in terms of the validity of Lotka's law and the suitability of the proposed methodology. (49 references) (CLB)
Descriptors: Bibliometrics, Data Analysis, Goodness of Fit, Mathematical Models

Lewandowsky, Stephan; Murdock, Bennet B., Jr. – Psychological Review, 1989
An extension to Murdock's Theory of Distributed Associative Memory, based on associative chaining between items, is presented. The extended theory is applied to several serial order phenomena, including serial list learning, delayed recall effects, partial report effects, and buildup and release from proactive interference. (TJH)
Descriptors: Association (Psychology), Learning Theories, Linguistic Theory, Mathematical Models

Kiers, Henk A. L. – Psychometrika, 1989
An alternating least squares algorithm is offered for fitting the DEcomposition into DIrectional COMponents (DEDICOM) model for representing asymmetric relations among a set of objects via a set of coordinates for the objects on a limited number of dimensions. An algorithm is presented for fitting the IDIOSCAL model in the least squares sense.…
Descriptors: Algorithms, Estimation (Mathematics), Goodness of Fit, Least Squares Statistics

Fox, R. O.; Fan, L. T. – Chemical Engineering Education, 1990
Describes stochastic models. Discusses the rationale for stochastic analysis and modeling, and provides a master equation for the models with respect to chemical processes. Lists 29 references. (YP)
Descriptors: Chemical Engineering, Chemical Reactions, College Science, Engineering

Boekkooi-Timminga, Ellen – Journal of Educational Statistics, 1990
The construction of parallel tests from item-response-theory-based item banks is discussed. Two methods for sequentially selecting parallel tests and two methods for simultaneously constructing tests using 0-1 linear programing are compared. Advantages and disadvantages of these techniques are reviewed. (SLD)
Descriptors: Equations (Mathematics), Item Banks, Item Response Theory, Linear Programing

Wong, S. K. M.; Yao, Y. Y. – Information Processing and Management, 1989
Proposes an information retrieval model in which documents are characterized by a simple probability measure on the set of index terms, and describes two retrieval strategies, one based on utility theory and the other on information theory. The discussion covers experimental findings of retrieval effectiveness and insights into fundamental…
Descriptors: Functions (Mathematics), Information Retrieval, Information Theory, Mathematical Models

Buchanan, Bruce – Psychometrika, 1988
A model is proposed that describes subject behavior on repeat paired comparison preference tests. The model extends prior work in this area in that it explicitly allows for abstentions and permits the derivation of individual true scores of discrimination ability as well as conditional estimates of proportionate preference. (Author/TJH)
Descriptors: Attitude Measures, Equations (Mathematics), Guessing (Tests), Mathematical Models

Joe, George W.; Mendoza, Jorge L. – Journal of Educational Statistics, 1989
A response to comments on internal correlation for statistical analysis, as proposed by the present authors (1989), is provided. Focus is on issues raised by W. W. Rozeboom (1989). Comments by J. H. Schuenemeyer (1989) and R. Bargmann (1989) are briefly considered. (TJH)
Descriptors: Correlation, Factor Analysis, Generalization, Mathematical Models

Boik, Robert J. – Psychometrika, 1988
Both doubly multivariate and multivariate mixed models of analyzing repeated measures on multivariate responses are reviewed. Given multivariate normality, a condition called multivariate sphericity of the covariance matrix is both necessary and sufficient for the validity of the multivariate mixed model analysis. (SLD)
Descriptors: Analysis of Covariance, Equations (Mathematics), Mathematical Models, Matrices