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Young, Forrest W.; Cliff, Norman – Psychometrika, 1972
A metric multidimensional scaling (MDS) procedure based on computer-subject interaction is developed, and an experiment designed to validate the procedure is presented. (Author)
Descriptors: Algorithms, Mathematical Models, Multidimensional Scaling, Predictive Measurement

Kristof, Walter – Psychometrika, 1973
Paper is concerned with the hypothesis that two variables have a perfect disattenuated correlation, hence measure the same trait except for errors of measurement. (Author/RK)
Descriptors: Analysis of Variance, Correlation, Error of Measurement, Mathematical Models

Samejima, Fumiko – Psychometrika, 1972
This paper proposes a general model for free-response data collected for measuring a specified unidimensional psychological process; systematizes situations which vary with respect to the scoring level of items; and finds out general conditions for the operating characteristic of an item response category to provide a unique maximum likelihood…
Descriptors: Mathematical Applications, Mathematical Models, Mathematics, Measurement Techniques

Ebert, Ronald J. – Psychometrika, 1971
Descriptors: Comparative Analysis, Decision Making, Management Systems, Mathematical Models

Corballis, M. C. – Psychometrika, 1971
Descriptors: Analysis of Covariance, Componential Analysis, Data Analysis, Factor Analysis
Yuan, Ke-Hai; Hayashi, Kentaro – Psychometrika, 2005
Data in social and behavioral sciences are often hierarchically organized. Special statistical procedures that take into account the dependence of such observations have been developed. Among procedures for 2-level covariance structure analysis, Muthen's maximum likelihood (MUML) has the advantage of easier computation and faster convergence. When…
Descriptors: Sample Size, Behavioral Sciences, Maximum Likelihood Statistics, Statistical Analysis

van Driel, Otto P. – Psychometrika, 1978
In maximum likelihood factor analysis, there arises a situation whereby improper solutions occur. The causes of those improper solution are discussed and illustrated. (JKS)
Descriptors: Computer Programs, Data Analysis, Factor Analysis, Goodness of Fit

Johnson, Richard M. – Psychometrika, 1973
A method of nonmetric multidimensional scaling is described which minimizes pairwise departures from monotonicity. (Author)
Descriptors: Algorithms, Calculus, Computer Programs, Data Analysis

Novick, Melvin R.; And Others – Psychometrika, 1973
This paper develops theory and methods for the application of the Bayesian Model II method to the estimation of binomial proportions and demonstrates its application to educational data. (Author/RK)
Descriptors: Bayesian Statistics, Educational Testing, Mathematical Models, Measurement

Lundberg, Ulf; Ekman, Gosta – Psychometrika, 1973
The interdistances between thirteen places situated in different parts of the world were estimated by 60 subjects. The estimates were analysed by Kruskal's multidimensional technique and, after a cosine transformation, by factor analysis. (Author)
Descriptors: Association (Psychology), Distance, Factor Analysis, Geographic Location

Cliff, Norman – Psychometrika, 1979
This paper traces the course of the consequences of viewing test responses as simply providing dichotomous data concerning ordinal relations. It begins by proposing that the score matrix is best considered to be items-plus-persons by items-plus-persons, and recording the wrongs as well as the rights. (Author/CTM)
Descriptors: Adaptive Testing, Mathematical Models, Matrices, Measurement

Lee, S. Y.; Jennrich, R. I. – Psychometrika, 1979
A variety of algorithms for analyzing covariance structures are considered. Additionally, two methods of estimation, maximum likelihood, and weighted least squares are considered. Comparisons are made between these algorithms and factor analysis. (Author/JKS)
Descriptors: Analysis of Covariance, Comparative Analysis, Correlation, Factor Analysis

Rosenbaum, Paul R. – Psychometrika, 1989
Single construct validity is examined, and appropriate statistical tests are described when criterion information is available for: (1) examinees selected at random; (2) examinees selected on the basis of the current test; and (3) examinees selected using other measures of the latent construct. Discriminant validity is also discussed. (SLD)
Descriptors: College Entrance Examinations, Construct Validity, Equations (Mathematics), Item Response Theory

Glas, C. A. W.; Verhelst, N. D. – Psychometrika, 1989
Some extensions of the partial credit model are presented. A marginal maximum likelihood estimation procedure is developed to allow for incomplete data and linear restrictions on the item and population parameters. Two statistical tests for evaluating model fit are also presented. (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Goodness of Fit, Item Response Theory

Tenenhaus, Michel – Psychometrika, 1988
Canonical analysis of two convex polyhedral cones involves looking for two vectors whose square cosine is a maximum. New results about the properties of the optimal solution to this problem are presented. The convergence of an alternating least squares algorithm and properties of limits of calculated sequences are discussed. (SLD)
Descriptors: Algorithms, Analysis of Variance, Graphs, Least Squares Statistics