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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

Peer reviewed

Cudeck, Robert; McGuire, Dennis P. – Psychometrika, 1987

Three technical word processing systems for microcomputers are reviewed. Tech/Print, a basic addition to Word Star, is easy to use and adequate for simple or low volume mathematics. Math Text is very good, but not well suited for heavy text processing. T3, the most expensive, is excellent for both standard and technical text. (JAZ)

Descriptors: Computer Software Reviews, Keyboarding (Data Entry), Mathematics, Microcomputers

Peer reviewed

Ramsay, J. O. – Psychometrika, 1995

A similarity-based smoothing approach to nondimensional item analysis was studied. Simulated and actual data are presented to show that when responses are determined by a latent ability variable, this similarity-based smoothing procedure can reveal the dimensionality of ability satisfactorily. (SLD)

Descriptors: Ability, Item Analysis, Item Response Theory, Nonparametric Statistics

Peer reviewed

Gross, Alan L.; Torres-Quevedo, Rocio – Psychometrika, 1995

The posterior distribution of the bivariate correlation is analytically derived given a data set where "X" is completely observed, but "Y" is missing at random for a portion of the sample. Interval estimates of the correlation are constructed from the posterior distribution in terms of the highest density regions. (SLD)

Descriptors: Bayesian Statistics, Correlation, Equations (Mathematics), Estimation (Mathematics)

Peer reviewed

Sinha, Atanu R.; Buchanan, Bruce S. – Psychometrika, 1995

This paper presents an analysis of the stability of principal components. Stability is measured by the expectation of the absolute inner product of the sample principal component with the corresponding population component. The usefulness and predictive validity of the model were supported through simulation. (SLD)

Descriptors: Evaluation Utilization, Factor Analysis, Models, Predictive Validity

Peer reviewed

Carroll, J. Douglas – Psychometrika, 1995

A theorem is proved stating that the set of all "minimax links," defined as links minimizing, over paths, the maximum length of links in any path connecting a pair of objects comprising nodes in an undirected weighted graph, comprises the union of all minimum spanning trees of that graph. (Author/SLD)

Descriptors: Graphs, Matrices, Networks

Peer reviewed

Andersen, Erling B. – Psychometrika, 1995

Residuals for checking model fit in the polytomous Rasch model are examined. Comparisons are made between using counts for all response patterns and using item totals for score groups in the construction of the residuals. Using item totals for residuals based on score group totals was compared with using the estimated item parameters. (SLD)

Descriptors: Equations (Mathematics), Estimation (Mathematics), Goodness of Fit, Models

Peer reviewed

Keselman, H. J.; And Others – Psychometrika, 1995

This paper explains how to obtain generally robust and powerful analyses with any of the recommended nonorthogonal solutions by adapting a modification of the Welch-James procedure for comparing means when population variances are heterogeneous. Results from a Monte Carlo study support use of the procedure. (SLD)

Descriptors: Comparative Analysis, Equations (Mathematics), Monte Carlo Methods, Power (Statistics)

Peer reviewed

Vevea, Jack L.; Hedges, Larry V. – Psychometrika, 1995

When the process of publication favors studies with small p-values and large effect estimates, combined estimates from many studies may be biased. This paper describes a model for estimation of effect size when there is selection based on one-tailed p-values. (SLD)

Descriptors: Bias, Effect Size, Equations (Mathematics), Estimation (Mathematics)

Peer reviewed

Berge, Jos M. F. ten – Psychometrika, 1995

In Varimax rotation, permutations and reflections can give rise to the phenomenon that certain pairs of columns are consistently skipped in the iterative process, causing Varimax to terminate at a nonstationary point. This skipping phenomenon is demonstrated, and how to prevent it is described. (SLD)

Descriptors: Equations (Mathematics), Matrices, Research Methodology, Simulation

Peer reviewed

Maris, Eric; And Others – Psychometrika, 1996

Generalizing Boolean matrix decomposition to a larger class of matrix decomposition models is demonstrated, and probability matrix decomposition (PMD) models are introduced as a probabilistic version of the larger class. An algorithm is presented for the computation of maximum likelihood and maximum a posteriori estimates of the parameters of PMD…

Descriptors: Algorithms, Diagnostic Tests, Estimation (Mathematics), Matrices

Peer reviewed

Huynh, Huynh – Psychometrika, 1996

Each Rasch (Masters) partial credit item can be expressed as the sum of independent Rasch binary items and Rasch (or Masters) indecomposable trinary items. If each trinary item is then expressed as the sum of two binary items, the binary items are positively dependent and cannot be both Rasch types. (SLD)

Descriptors: Educational Assessment, Item Response Theory, Performance Based Assessment, Performance Factors

Peer reviewed

Mislevy, Robert J.; Wilson, Mark – Psychometrika, 1996

Marginal maximum likelihood estimation equations are derived for the structural parameters of the Saltus model, and a computing approximation is suggested based on the EM algorithm. The solution is illustrated with simulated data and an example from the domain of mixed number subtraction. (SLD)

Descriptors: Bayesian Statistics, Cognitive Tests, Equations (Mathematics), Individual Development

Peer reviewed

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

Lee, Sik-Yum; Wang, S. J. – Psychometrika, 1996

The sensitivity analysis of structural equation models when minor perturbation is introduced is investigated. An influence measure based on the general case weight perturbation is derived for the generalized least squares estimation, and an influence measure is developed for the special case deletion perturbation scheme. (Author/SLD)

Descriptors: Equations (Mathematics), Estimation (Mathematics), Least Squares Statistics, Mathematical Models