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Tchumtchoua, Sylvie; Dey, Dipak K. – Psychometrika, 2012
This paper proposes a semiparametric Bayesian framework for the analysis of associations among multivariate longitudinal categorical variables in high-dimensional data settings. This type of data is frequent, especially in the social and behavioral sciences. A semiparametric hierarchical factor analysis model is developed in which the…
Descriptors: Factor Analysis, Bayesian Statistics, Behavioral Sciences, Social Sciences
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Zhang, Guangjian; Chow, Sy-Miin; Ong, Anthony D. – Psychometrika, 2011
Structural equation models are increasingly used as a modeling tool for multivariate time series data in the social and behavioral sciences. Standard error estimators of SEM models, originally developed for independent data, require modifications to accommodate the fact that time series data are inherently dependent. In this article, we extend a…
Descriptors: Structural Equation Models, Simulation, Behavioral Sciences, Social Sciences
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Waller, Niels; Jones, Jeff – Psychometrika, 2011
We describe methods for assessing all possible criteria (i.e., dependent variables) and subsets of criteria for regression models with a fixed set of predictors, x (where x is an n x 1 vector of independent variables). Our methods build upon the geometry of regression coefficients (hereafter called regression weights) in n-dimensional space. For a…
Descriptors: Criteria, Regression (Statistics), Correlation, Models
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Waller, Niels G.; Jones, Jeff A. – Psychometrika, 2010
A general theory on the use of correlation weights in linear prediction has yet to be proposed. In this paper we take initial steps in developing such a theory by describing the conditions under which correlation weights perform well in population regression models. Using OLS weights as a comparison, we define cases in which the two weighting…
Descriptors: Least Squares Statistics, Correlation, Comparative Analysis, Prediction
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Bartolucci, Francesco; Solis-Trapala, Ivonne L. – Psychometrika, 2010
We demonstrate the use of a multidimensional extension of the latent Markov model to analyse data from studies with repeated binary responses in developmental psychology. In particular, we consider an experiment based on a battery of tests which was administered to pre-school children, at three time periods, in order to measure their inhibitory…
Descriptors: Markov Processes, Developmental Psychology, Item Response Theory, Inhibition
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Hooker, Giles – Psychometrika, 2010
This paper presents a study of the impact of prior structure on paradoxical results in multidimensional item response theory. Paradoxical results refer to the possibility that an incorrect response could be beneficial to an examinee. We demonstrate that when three or more ability dimensions are being used, paradoxical results can be induced by…
Descriptors: Item Response Theory, Correlation, Tests, Statistical Analysis
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Yang, Manshu; Chow, Sy-Miin – Psychometrika, 2010
Facial electromyography (EMG) is a useful physiological measure for detecting subtle affective changes in real time. A time series of EMG data contains bursts of electrical activity that increase in magnitude when the pertinent facial muscles are activated. Whereas previous methods for detecting EMG activation are often based on deterministic or…
Descriptors: Test Bias, Error of Measurement, Human Body, Diagnostic Tests
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Kim, Jee-Seon; Frees, Edward W. – Psychometrika, 2007
When there exist omitted effects, measurement error, and/or simultaneity in multilevel models, explanatory variables may be correlated with random components, and standard estimation methods do not provide consistent estimates of model parameters. This paper introduces estimators that are consistent under such conditions. By employing generalized…
Descriptors: Simulation, Measurement, Error of Measurement, Computation
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Choulakian, V. – Psychometrika, 2006
Taxicab correspondence analysis is based on the taxicab singular value decomposition of a contingency table, and it shares some similar properties with correspondence analysis. It is more robust than the ordinary correspondence analysis, because it gives uniform weights to all the points. The visual map constructed by taxicab correspondence…
Descriptors: Statistical Analysis, Evaluation Methods, Robustness (Statistics), Tables (Data)
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Lenk, Peter; Wedel, Michel; Bockenholt, Ulf – Psychometrika, 2006
This paper presents a hierarchical Bayes circumplex model for ordinal ratings data. The circumplex model was proposed to represent the circular ordering of items in psychological testing by imposing inequalities on the correlations of the items. We provide a specification of the circumplex, propose identifying constraints and conjugate priors for…
Descriptors: Bayesian Statistics, Models, Psychological Testing, Correlation
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Kistner, Emily O.; Muller, Keith E. – Psychometrika, 2004
Intraclass correlation and Cronbach's alpha are widely used to describe reliability of tests and measurements. Even with Gaussian data, exact distributions are known only for compound symmetric covariance (equal variances and equal correlations). Recently, large sample Gaussian approximations were derived for the distribution functions. New exact…
Descriptors: Correlation, Test Reliability, Test Results, Probability
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Krijnen, Wim P. – Psychometrika, 2004
In many instances it is reasonable to assume that the population covariance matrix has positive elements. This assumption implies for the single factor analysis model that the loadings and regression weights for best linear factor prediction are positive. For the multiple factor analysis model where each variable loads on a single factor and a…
Descriptors: Test Theory, Structural Equation Models, Factor Analysis, Prediction
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Stauffer, Joseph M.; Mendoza, Jorge L. – Psychometrika, 2001
Uses classical test theory to show that it is the nature of the range restriction, rather than the nature of the available reliability coefficient, that determines the sequence for applying corrections for range restriction and unreliability. Shows how the common rule of thumb for choosing the sequence is tenable only when the correction does not…
Descriptors: Correlation, Reliability, Selection, Test Theory
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Bonett, Douglas G.; Wright, Thomas A. – Psychometrika, 2000
Reviews interval estimates of the Pearson, Kendall tau-alpha, and Spearman correlates and proposes an improved standard error for the Spearman correlation. Examines the sample size required to yield a confidence interval having the desired width. Findings show accurate results from a two-stage approximation to the sample size. (SLD)
Descriptors: Correlation, Error of Measurement, Estimation (Mathematics), Sample Size
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Ip, Edward Hak-Sing – Psychometrika, 2000
Provides a general method that adjusts for the inflation of information associated with a test containing item clusters and a computational scheme for the evaluation of the factors of adjustment for clusters in the restrictive and general cases. Illustrates the approach with an analysis of National Assessment of Educational Progress data. (SLD)
Descriptors: Cluster Analysis, Correlation, Test Items
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