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Effatpanah, Farshad; Baghaei, Purya – Practical Assessment, Research & Evaluation, 2023
Item response theory (IRT) refers to a family of mathematical models which describe the relationship between latent continuous variables (attributes or characteristics) and their manifestations (dichotomous/polytomous observed outcomes or responses) with regard to a set of item characteristics. Researchers typically use parametric IRT (PIRT)…
Descriptors: Item Response Theory, Feedback (Response), Mathematical Models, Item Analysis
Ranger, Jochen; Kuhn, Jörg-Tobias; Pohl, Steffi – Measurement: Interdisciplinary Research and Perspectives, 2021
The term speed-accuracy tradeoff is used when an increase in response speed comes at the expense of response accuracy. Although originally a concept from experimental psychology, the speed-accuracy tradeoff has been a topic in psychological assessment, too. In the first part of the manuscript, we discuss motivational factors that may be…
Descriptors: Item Response Theory, Reaction Time, Accuracy, Psychological Testing
Trendafilov, Nickolay T. – 1992
In the technique developed by K. G. Joreskog to solve the problem for oblique rotation to a specified simple structure, the basic concept is that the simple structure solution itself is determined only by the zero coefficients of the reference-structure matrix and not by the coefficients of non-zero magnitude. Following this, prior information…
Descriptors: Equations (Mathematics), Factor Structure, Mathematical Models, Psychological Testing
Gleser, Leon Jay; Olkin, Ingram – 1972
Statistical inference concerning the parameters of k multivariate normal populations is considered. Several models in which the parameters have certain hierarchical relationships are discussed, in particular as related to testing the hypothesis that k psychological tests are parallel forms of the same test. The report contains the following…
Descriptors: Hypothesis Testing, Mathematical Applications, Mathematical Models, Psychological Testing
Peer reviewedLewis, Charles – Psychometrika, 1986
On the occasion of Psychometrika's fiftieth anniversary, the past twenty-five years' developments in mental test theory are reviewed. Psychometrika articles treating topics in test theory are listed in a bibliography. (Author/LMO)
Descriptors: Cognitive Measurement, Mathematical Models, Psychological Testing, Psychometrics
Nandakumar, Ratna – 1992
The capability of the DIMTEST statistical test to assess essential dimensionality of the model underlying item responses of real tests as opposed to simulated tests was investigated. A variety of real test data from difference sources was used to assess essential dimensionality. Based on DIMTEST results, some test data are assessed as fitting an…
Descriptors: Ability, Computer Simulation, Evaluation Methods, Item Response Theory
Chang, Hua-Hua; Stout, William – 1991
The empirical Bayes modeling approach--latent ability random sampling in the item response theory (IRT) context--to the IRT modeling of psychological tests is described. Under the usual empirical Bayes unidimensional IRT modeling approach, the posterior distribution of examinee ability given test response is approximately normal for a long test.…
Descriptors: Ability, Bayesian Statistics, Equations (Mathematics), Item Response Theory
Kearns, Jack – 1974
Empirical Bayes point estimates of true score may be obtained if the distribution of observed score for a fixed examinee is approximated in one of several ways by a well-known compound binomial model. The Bayes estimates of true score may be expressed in terms of the observed score distribution and the distribution of a hypothetical binomial test.…
Descriptors: Career Development, Error Patterns, Expectation, Mathematical Models
Wang, Jianjun – 2002
Stochastic models are developed in this article to examine the rate of test misgrading in educational and psychological measurement. The estimation of inadvertent grading errors can serve as a basis for quality control in measurement. Limitations of traditional Poisson models have been reviewed to highlight the need to introduce new models using…
Descriptors: Educational Testing, Grading, Mathematical Models, Measurement Techniques
Peer reviewedAndersen, Erling B. – Psychometrika, 1985
A model for longitudinal latent structure analysis was proposed that combined the values of a latent variable at two time points in a two-dimensional latent density. The correlation coefficient between the two values of the latent variable can then be estimated. (NSF)
Descriptors: Correlation, Latent Trait Theory, Mathematical Models, Maximum Likelihood Statistics
Peer reviewedMolenaar, Peter C. M.; And Others – Psychometrika, 1992
The dynamic factor model proposed by P. C. Molenaar (1985) is exhibited, and a dynamic nonstationary factor model (DNFM) is constructed with latent factor series that have time-varying mean functions. The use of a DNFM is illustrated using data from a television viewing habits study. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Estimation (Mathematics), Factor Analysis
Peer reviewedRoskam, Edward E.; And Others – Multivariate Behavioral Research, 1992
First- and second-round commentaries on an article by L. Guttman are presented. The following authors responded, with two articles each: (1) E. E. Roskam and J. Ellis; (2) P. H. Schonemann; (3) A. R. Jensen; (4) J. C. Loehlin; and (5) J.-E. Gustafsson. (SLD)
Descriptors: Factor Analysis, Groups, Intelligence, Mathematical Models
Peer reviewedDeSarbo, Wayne S.; And Others – Psychometrika, 1992
TSCALE, a multidimensional scaling procedure based on the contrast model of A. Tversky for asymmetric three-way, two-mode proximity data, is presented. TSCALE conceptualizes a latent dimensional structure to describe the judgmental stimuli. A Monte Carlo analysis and two consumer psychology applications illustrate the procedure. (SLD)
Descriptors: Consumer Economics, Data Analysis, Equations (Mathematics), Mathematical Models
Peer reviewedSchmidt, Frank L. – Educational and Psychological Measurement, 1972
Descriptors: Mathematical Models, Multiple Regression Analysis, Predictor Variables, Psychological Testing
Peer reviewedKristof, Walter – Psychometrika, 1973
Paper is concerned with the hypothesis that two variables have a perfect disattenuated correlation, hence measure the same trait except for errors of measurement. (Author/RK)
Descriptors: Analysis of Variance, Correlation, Error of Measurement, Mathematical Models

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