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Hayashi, Kentaro; Bentler, Peter M. – Psychometrika, 2000
Investigated the conditions under which the matrix of factor loadings from the factor analysis model with equal unique variances will give a good approximation to the matrix of factor loadings from the regular factor analysis model. Extends the results to the image factor analysis model. Discusses implications for practice. (SLD)
Descriptors: Factor Analysis, Factor Structure
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van der Linden, Wim J. – Psychometrika, 1998
This paper suggests several item selection criteria for adaptive testing that are all based on the use of the true posterior. Some of the ability estimators produced by these criteria are discussed and empirically criticized. (SLD)
Descriptors: Ability, Adaptive Testing, Bayesian Statistics, Computer Assisted Testing
Peer reviewed Peer reviewed
Muthen, Bengt O. – Psychometrika, 1989
A method for detecting instructional sensitivity (item bias) in test items is proposed. This method extends item response theory by allowing for item-specific variation in measurement relations across students' varying instructional backgrounds. Item bias detection is a by-product. Traditional and new methods are compared. (SLD)
Descriptors: Achievement Tests, Educational Background, Educational Opportunities, Elementary Secondary Education
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Ogasawara, Haruhiko – Psychometrika, 1996
Rasch's multiplicative Poisson model is extended so that parameters for individuals in the prior gamma distribution have continuous covariates. Parameters for individuals are integrated out, and hyperparameters in the prior distribution are estimated by a numerical method separately from difficulty parameters that are treated as fixed parameters…
Descriptors: Ability, Equations (Mathematics), Estimation (Mathematics), Item Response Theory
Peer reviewed Peer reviewed
Bollen, Kenneth A. – Psychometrika, 1996
An alternative two-stage least squares (2SLS) estimator of the parameters in LISREL type models is proposed and contrasted with existing estimators. The new 2SLS estimator allows observed and latent variables to originate from nonnormal distributions, is consistent, has a known asymptotic covariance matrix, and can be estimated with standard…
Descriptors: Computer Software, Equations (Mathematics), Estimation (Mathematics), Factor Analysis
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Cliff, Norman; Donoghue, John R. – Psychometrika, 1992
A test theory using only ordinal assumptions is presented, based on the idea that the test items are a sample from a universe of items. The sum across items of the ordinal relations for a pair of persons on the universe items is analogous to a true score. (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Item Response Theory, Item Sampling
Peer reviewed Peer reviewed
Molenaar, Ivo W. – Psychometrika, 1998
Explores the robustness of conclusions from a statistical model against variations in model choice with an illustration from G. Box and G. Tiao (1973). Suggests that simultaneous consideration of a class of models for the same data is sometimes superior to analyzing the data under one model and demonstrates advantages to Adaptive Bayesian…
Descriptors: Bayesian Statistics, Data Analysis, Models, Robustness (Statistics)
Peer reviewed Peer reviewed
van der Linden, Wim J. – Psychometrika, 1998
Dichotomous item response theory (IRT) models can be viewed as families of stochastically ordered distributions of responses to test items. This paper explores several properties of such distributions, especially those related to transfer to other distributions. Results are formulated as a series of theorems and corollaries that apply to…
Descriptors: Item Response Theory, Responses, Statistical Distributions, Test Items
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Snijders, Tom A. B. – Psychometrika, 1991
A complete enumeration method and a Monte Carlo method are presented to calculate the probability distribution of arbitrary statistics of adjacency matrices when these matrices have the uniform distribution conditional on given row and column sums, and possibly on a given set of structural zeros. (SLD)
Descriptors: Computer Simulation, Equations (Mathematics), Mathematical Models, Matrices
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Wasserman, Stanley; Pattison, Philippa – Psychometrika, 1996
The Markov random graphs of O. Frank and D. Strauss (1986) and the estimation strategy for these models developed by Strauss and M. Ikeda (1990) are promising contributions. This paper describes a large class of models that can be used to investigate structure in social networks and illustrates their use. (SLD)
Descriptors: Data Analysis, Estimation (Mathematics), Graphs, Markov Processes
Peer reviewed Peer reviewed
Nishisato, Shizuhiko – Psychometrika, 1996
Issues related to dual scaling are explored, and it is illustrated that quantification theory still contains a number of missing links between its mathematics and the validity of applications. Normed versus projected weights, problems of multidimensional unfolding, and option standardization are among the questions requiring study. (SLD)
Descriptors: Equations (Mathematics), Research Methodology, Responses, Scaling
Peer reviewed Peer reviewed
Kiers, Henk A. L.; Ten Berge, Jos M. F.; Rocci, Roberto – Psychometrika, 1997
Three-mode factor analysis (3MFA) and PARAFAC are methods that describe three-way data. A class of 3MFA models is introduced that falls between 3MFA and PARAFAC and contains the good properties of both approaches, including the unique axes property that has distinguished the PARAFAC model. (SLD)
Descriptors: Factor Analysis, Factor Structure
Peer reviewed Peer reviewed
Zhang, Jinming; Stout, William – Psychometrika, 1999
Investigates the structure of item-pair conditional covariances given a unidimensional latent composite using a generalized semiparametric-modeling approach. Conditional covariances are shown to be highly informative about the latent dimensionality required to achieve local independence. Uses the new approach to justify the DIMTEST procedure. (SLD)
Descriptors: Equations (Mathematics), Item Response Theory, Models, Nonparametric Statistics
Peer reviewed Peer reviewed
Meredith, William – Psychometrika, 1993
A conceptual framework is provided for thinking about measurement invariance (or bias), and conditions are demonstrated under which invariance can occur. Tools are suggested for addressing such issues as fairness in employment testing, salary equity, and cross-sectional developmental change. Strict factorial invariance is required for…
Descriptors: Change, Equal Opportunities (Jobs), Equations (Mathematics), Factor Analysis
Peer reviewed Peer reviewed
De Soete, Geert; Heiser, Willem J. – Psychometrika, 1993
A latent class unfolding model is developed for single stimulus preference ratings. One advantage is the possibility of testing the spatial unfolding model against the unconstrained latent class model for rating data. The model is applied to data about party preferences of members of the Dutch parliament. (SLD)
Descriptors: Equations (Mathematics), Foreign Countries, Government Employees, Legislators
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