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Peer reviewedWilcox, Rand R. – Educational and Psychological Measurement, 1979
Wilcox has described three probability models which characterize a single test item in terms of a population of examinees (ED 156 718). This note indicates indicates that similar models can be derived which characterize a single examinee in terms of an item domain. A numerical illustration is given. (Author/JKS)
Descriptors: Achievement Tests, Item Analysis, Mathematical Models, Probability
Peer reviewedWilson, Mark – Applied Psychological Measurement, 1988
A method for detecting and interpreting disturbances of the local-independence assumption among items that share common stimulus material or other features is presented. Dichotomous and polytomous Rasch models are used to analyze structure of the learning outcome superitems. (SLD)
Descriptors: Item Analysis, Latent Trait Theory, Mathematical Models, Test Interpretation
Peer reviewedvan der Linden, Wim J. – Applied Psychological Measurement, 1979
The restrictions on item difficulties that must be met when binomial models are applied to domain-referenced testing are examined. Both a deterministic and a stochastic conception of item responses are discussed with respect to difficulty and Guttman-type items. (Author/BH)
Descriptors: Difficulty Level, Item Sampling, Latent Trait Theory, Mathematical Models
McKinley, Robert L.; Reckase, Mark D. – 1982
Several special cases of the general Rasch model, varying in complexity, were investigated to determine whether they could successfully model realistic multidimensional item response data. Whether the parameters of the model could be readily interpreted was also investigated. The models investigated included: (1) the vector model; (2) the product…
Descriptors: Goodness of Fit, Item Analysis, Latent Trait Theory, Mathematical Models
Bradshaw, Charles W., Jr. – 1968
A method for determining invariant item parameters is presented, along with a scheme for obtaining test scores which are interpretable in terms of a common metric. The method assumes a unidimensional latent trait and uses a three parameter normal ogive model. The assumptions of the model are explored, and the methods for calculating the proposed…
Descriptors: Equated Scores, Item Analysis, Latent Trait Theory, Mathematical Models
Peer reviewedBeaton, Albert E.; Allen, Nancy L. – Journal of Educational Statistics, 1992
The National Assessment of Educational Progress (NAEP) makes possible comparison of groups of students and provides information about what these groups know and can do. The scale anchoring techniques described in this chapter address the latter purpose. The direct method and the smoothing method of scale anchoring are discussed. (SLD)
Descriptors: Comparative Testing, Educational Assessment, Elementary Secondary Education, Knowledge Level
deGruijter, Dato N. M. – 1980
The setting of standards involves subjective value judgments. The inherent arbitrariness of specific standards has been severely criticized by Glass. His antagonists agree that standard setting is a judgmental task but they have pointed out that arbitrariness in the positive sense of serious judgmental decisions is unavoidable. Further, small…
Descriptors: Cutting Scores, Difficulty Level, Error of Measurement, Mastery Tests
Peer reviewedWhitely, Susan E. – Intelligence, 1980
This article examines the potential contribution of latent trait models to the study of intelligence. Nontechnical introductions to both unidimensional and multidimensional latent trait models are given. Multidimensional latent trait models can be used to test alternative multiple component theories of test item processing. (Author/CTM)
Descriptors: Ability, Aptitude Tests, Cognitive Processes, Intelligence
Kreines, David C.; Mead, Ronald J. – 1979
An explanation is given of what is meant by "sample-free" item calibration and by "item-free" person measurement as these terms are applied to the one-parameter logistic test theory model of Georg Rasch. When the difficulty of an item is calibrated separately for two different samples the results may differ; but, according the…
Descriptors: Difficulty Level, Equated Scores, Goodness of Fit, Item Analysis
Peer reviewedSecolsky, Charles – Journal of Educational Measurement, 1983
A model is presented using examinee judgements in detecting ambiguous/misinterpreted items on teacher-made criterion-referenced tests. A computational example and guidelines for constructing domain categories and interpreting the indices are presented. (Author/PN)
Descriptors: Criterion Referenced Tests, Higher Education, Item Analysis, Mathematical Models
Peer reviewedMislevy, Robert J.; And Others – Journal of Educational Measurement, 1993
This paper illustrates how, in the item-response theory framework, collateral information about test items can augment or replace examinee responses when linking or equating new tests to established scales, using data from the Pre-Professional Skills Test for approximately 40,000 examinees. Collateral information can predict item operating…
Descriptors: College Students, Equated Scores, Equations (Mathematics), Higher Education
Douglass, James B. – 1979
A general process for testing the feasibility of applying alternative mathematical or statistical models to the solution of a practical problem is presented and flowcharted. The system is used to compare five models for test equating: (1) anchor test equating using classical test theory; (2) anchor test equating using the one-parameter logistic…
Descriptors: Comparative Analysis, Equated Scores, Flow Charts, Goodness of Fit
Quellmalz, Edys S.; Shaha, Steven – 1982
The potential of a cognitive model task analysis scheme (CMS) that specifies features of test problems shown by research to affect performance is explored. CMS describes the general skill area and the generic task or problem type. It elaborates features of the problem situation and required responses found by research to influence performance.…
Descriptors: Academic Achievement, Cognitive Measurement, Criterion Referenced Tests, Elementary Secondary Education
Samejima, Fumiko – 1990
The shortcomings of the conventional way of using and interpreting multiple-choice tests are summarized. Some theories and methodologies that can be applied for better use multiple-choice test items are described. Empirical facts are introduced to support the theoretical observations. New strategies are proposed that will reduce "noise"…
Descriptors: Ability Identification, Distractors (Tests), Equations (Mathematics), Estimation (Mathematics)
Nandakumar, Ratna – 1992
The phenomenon of simultaneous differential item functioning (DIF) amplification and cancellation and the role of the SIBTEST computer program in detecting it were studied. A variety of simulated test data was generated for this purpose. In addition, the following real test data were used: (1) American College Testing program data for 2,115 males…
Descriptors: Black Students, Comparative Testing, Computer Simulation, Computer Software
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