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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

Davison, Mark L. – Psychometrika, 1988
A reparameterization of the general Euclidean model for the external analysis of preference data and a simple least squares method for fitting the model to metric single stimulus data are discussed. The reformulated model is less general than is the earlier formulation by J. D. Carroll (1972). (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Least Squares Statistics, Multidimensional Scaling

Flack, Virginia F.; And Others – Psychometrika, 1988
A method is presented for determining sample size that will achieve a pre-specified bound on confidence interval width for the interrater agreement measure "kappa." The same results can be used when a pre-specified power is desired for testing hypotheses about the value of kappa. (Author/SLD)
Descriptors: Evaluation Methods, Interrater Reliability, Research Methodology, Research Problems

Rost, Jurgen – Psychometrika, 1988
A general approach for analyzing rating data with latent class models is described, paralleling rating models in the framework of latent trait theory. A general rating model and a two-parameter model with location and dispersion parameters are derived and illustrated. (Author/SLD)
Descriptors: Algorithms, Equations (Mathematics), Estimation (Mathematics), Latent Trait Theory
Wenger, Michael J. – Psychometrika, 2005
Van Breukelen offers a promising method for modeling both response speed and response accuracy. However, the underlying conception of both dependent measures is somewhat flawed, leading the author to conclude that the approach possesses limitations that, under revised assumptions, may not hold. The central misconception, and a set of related…
Descriptors: Misconceptions, Statistical Analysis, Models, Measures (Individuals)
Rouder, Jeffrey N. – Psychometrika, 2005
Glickman, Gray, and Morales (this issue) propose a statistical model for measuring the unobserved latency of stimulus-controlled processes. The model accounts for both speed and accuracy and does so by assuming that participants set an internal deadline. If a stimulus-controlled response is not produced by the deadline, the participant then…
Descriptors: Models, Statistical Analysis, Stimuli, Response Style (Tests)

Swain, A. J. – Psychometrika, 1975
Considers a class of estimation procedures for the factor model. The procedures are shown to yield estimates possessing the same asymptotic sampling properties as those from estimation by maximum likelihood or generalized last squares, both special members of the class. General expressions for the derivatives needed for Newton-Raphson…
Descriptors: Factor Analysis, Least Squares Statistics, Matrices, Maximum Likelihood Statistics

Douglas, Graham A. – Psychometrika, 1978
A goodness of fit test presented by Andersen (EJ 143 939) is shown to be incorrect. The correct test is described and a re-analysis of Andersen's data is provided. (Author/CTM)
Descriptors: Goodness of Fit, Individual Differences, Mathematical Models, Maximum Likelihood Statistics

Andersen, Erling B. – Psychometrika, 1978
Graham Douglas' claims (TM 503 496) that the X2-test statistics of the paper, "Paired Comparisons with Individual Differences" (EJ 143 939), are incorrect are acknowledged to be justified (Author/CTM)
Descriptors: Goodness of Fit, Individual Differences, Mathematical Models, Maximum Likelihood Statistics

Andersen, Erling B. – Psychometrika, 1973
The Rasch model is an item analysis model with logistic item characteristic curves of equal slope, i.e. with constant item discriminating powers. The proposed goodness of fit test is based on a comparison between difficulties estimated from different scoregroups and over-all estimates. (Author)
Descriptors: Achievement Tests, Goodness of Fit, Mathematical Models, Psychometrics

Ramsay, J. O. – Psychometrika, 1980
Some aspects of the small sample behavior of maximum likelihood estimates in multidimensional scaling are investigated with Monte Carlo techniques. In particular, the chi square test for dimensionality is examined and a correction for bias is proposed and evaluated. (Author/JKS)
Descriptors: Computer Programs, Goodness of Fit, Maximum Likelihood Statistics, Multidimensional Scaling

Young, Martin R.; DeSarbo, Wayne S. – Psychometrika, 1995
A new parametric maximum likelihood procedure is proposed for estimating ultrametric trees for the analysis of conditional rank order proximity data. Technical aspects of the model and the estimation algorithm are discussed, and Monte Carlo results illustrate its application. A consumer psychology application is also examined. (SLD)
Descriptors: Algorithms, Consumer Economics, Estimation (Mathematics), Maximum Likelihood Statistics
Rouder, Jeffrey N. – Psychometrika, 2005
Van Breukelen (this issue) provides an approach to using both response time (RT) and accuracy for (1) measuring latent abilities of participants even when they may trade speed for accuracy, and for (2) providing insight into the psychological processes underlying task performance. In this commentary, I focus on the second of these aims and assess…
Descriptors: Reaction Time, Cognitive Psychology, Computation, Psychological Patterns
Dusseldorp, Elise; Meulman, Jacqueline J. – Psychometrika, 2004
The regression trunk approach (RTA) is an integration of regression trees and multiple linear regression analysis. In this paper RTA is used to discover treatment covariate interactions, in the regression of one continuous variable on a treatment variable with "multiple" covariates. The performance of RTA is compared to the classical…
Descriptors: Simulation, Psychometrics, Multiple Regression Analysis, Models

Peay, Edmund R. – Psychometrika, 1975
A class of closely related hierarchical grouping methods are discussed and a procedure which implements them in an integrated fashion is presented. These methods avoid some theoretical anomalies inherent in clustering and provide a framework for viewing partitioning and nonpartitioning grouping. Significant relationships between these methods and…
Descriptors: Classification, Cluster Grouping, Computer Programs, Data Analysis