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Culpepper, Steven Andrew – Applied Psychological Measurement, 2013
A classic topic in the fields of psychometrics and measurement has been the impact of the number of scale categories on test score reliability. This study builds on previous research by further articulating the relationship between item response theory (IRT) and classical test theory (CTT). Equations are presented for comparing the reliability and…
Descriptors: Item Response Theory, Reliability, Scores, Error of Measurement
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Ip, Edward Hak-Sing; Chen, Shyh-Huei – Applied Psychological Measurement, 2012
The problem of fitting unidimensional item-response models to potentially multidimensional data has been extensively studied. The focus of this article is on response data that contains a major dimension of interest but that may also contain minor nuisance dimensions. Because fitting a unidimensional model to multidimensional data results in…
Descriptors: Measurement, Item Response Theory, Scores, Computation
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Beauducel, Andre – Applied Psychological Measurement, 2013
The problem of factor score indeterminacy implies that the factor and the error scores cannot be completely disentangled in the factor model. It is therefore proposed to compute Harman's factor score predictor that contains an additive combination of factor and error variance. This additive combination is discussed in the framework of classical…
Descriptors: Factor Analysis, Predictor Variables, Reliability, Error of Measurement
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Culpepper, Steven Andrew – Applied Psychological Measurement, 2012
Measurement error significantly biases interaction effects and distorts researchers' inferences regarding interactive hypotheses. This article focuses on the single-indicator case and shows how to accurately estimate group slope differences by disattenuating interaction effects with errors-in-variables (EIV) regression. New analytic findings were…
Descriptors: Evidence, Test Length, Interaction, Regression (Statistics)
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Roberts, James S.; Thompson, Vanessa M. – Applied Psychological Measurement, 2011
A marginal maximum a posteriori (MMAP) procedure was implemented to estimate item parameters in the generalized graded unfolding model (GGUM). Estimates from the MMAP method were compared with those derived from marginal maximum likelihood (MML) and Markov chain Monte Carlo (MCMC) procedures in a recovery simulation that varied sample size,…
Descriptors: Statistical Analysis, Markov Processes, Computation, Monte Carlo Methods
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Finch, Holmes – Applied Psychological Measurement, 2011
Estimation of multidimensional item response theory (MIRT) model parameters can be carried out using the normal ogive with unweighted least squares estimation with the normal-ogive harmonic analysis robust method (NOHARM) software. Previous simulation research has demonstrated that this approach does yield accurate and efficient estimates of item…
Descriptors: Item Response Theory, Computation, Test Items, Simulation
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Kim, Seonghoon – Applied Psychological Measurement, 2010
The three types (generalized, unweighted, and weighted) of least squares methods, proposed by Ogasawara, for estimating item response theory (IRT) linking coefficients under dichotomous models are extended to the graded response model. A simulation study was conducted to confirm the accuracy of the extended formulas, and a real data study was…
Descriptors: Least Squares Statistics, Computation, Item Response Theory, Models
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Andrich, David; Kreiner, Svend – Applied Psychological Measurement, 2010
Models of modern test theory imply statistical independence among responses, generally referred to as "local independence." One violation of local independence occurs when the response to one item governs the response to a subsequent item. Expanding on a formulation of this kind of violation as a process in the dichotomous Rasch model,…
Descriptors: Test Theory, Item Response Theory, Test Items, Correlation
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Woods, Carol M. – Applied Psychological Measurement, 2011
Differential item functioning (DIF) occurs when an item on a test, questionnaire, or interview has different measurement properties for one group of people versus another, irrespective of true group-mean differences on the constructs being measured. This article is focused on item response theory based likelihood ratio testing for DIF (IRT-LR or…
Descriptors: Simulation, Item Response Theory, Testing, Questionnaires
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Okada, Kensuke; Shigemasu, Kazuo – Applied Psychological Measurement, 2009
Bayesian multidimensional scaling (MDS) has attracted a great deal of attention because: (1) it provides a better fit than do classical MDS and ALSCAL; (2) it provides estimation errors of the distances; and (3) the Bayesian dimension selection criterion, MDSIC, provides a direct indication of optimal dimensionality. However, Bayesian MDS is not…
Descriptors: Bayesian Statistics, Multidimensional Scaling, Computation, Computer Software
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Laenen, Annouschka; Alonso, Ariel; Molenberghs, Geert; Vangeneugden, Tony; Mallinckrodt, Craig H. – Applied Psychological Measurement, 2010
Longitudinal studies are permeating clinical trials in psychiatry. Therefore, it is of utmost importance to study the psychometric properties of rating scales, frequently used in these trials, within a longitudinal framework. However, intrasubject serial correlation and memory effects are problematic issues often encountered in longitudinal data.…
Descriptors: Psychiatry, Rating Scales, Memory, Psychometrics
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Finch, Holmes – Applied Psychological Measurement, 2010
The accuracy of item parameter estimates in the multidimensional item response theory (MIRT) model context is one that has not been researched in great detail. This study examines the ability of two confirmatory factor analysis models specifically for dichotomous data to properly estimate item parameters using common formulae for converting factor…
Descriptors: Item Response Theory, Computation, Factor Analysis, Models
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Cui, Zhongmin; Kolen, Michael J. – Applied Psychological Measurement, 2008
This article considers two methods of estimating standard errors of equipercentile equating: the parametric bootstrap method and the nonparametric bootstrap method. Using a simulation study, these two methods are compared under three sample sizes (300, 1,000, and 3,000), for two test content areas (the Iowa Tests of Basic Skills Maps and Diagrams…
Descriptors: Test Length, Test Content, Simulation, Computation
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Hoshino, Takahiro; Shigemasu, Kazuo – Applied Psychological Measurement, 2008
The authors propose a concise formula to evaluate the standard error of the estimated latent variable score when the true values of the structural parameters are not known and must be estimated. The formula can be applied to factor scores in factor analysis or ability parameters in item response theory, without bootstrap or Markov chain Monte…
Descriptors: Monte Carlo Methods, Markov Processes, Factor Analysis, Computation
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Raju, Nambury S.; Lezotte, Daniel V.; Fearing, Benjamin K.; Oshima, T. C. – Applied Psychological Measurement, 2006
This note describes a procedure for estimating the range restriction component used in correcting correlations for unreliability and range restriction when an estimate of the reliability of a predictor is not readily available for the unrestricted sample. This procedure is illustrated with a few examples. (Contains 1 table.)
Descriptors: Correlation, Reliability, Predictor Variables, Error Correction
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