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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 reviewedMeredith, William; Millsap, Roger E. – Psychometrika, 1992
A unified treatment is presented for conditions that should allow detection of measurement bias using statistical procedures involving only observed or manifest variables. Computational results demonstrate that methods for studying bias that rely exclusively on manifest variables are not generally diagnostic of the presence or absence of…
Descriptors: Bayesian Statistics, Equations (Mathematics), Identification, Item Bias
Brennan, Robert L. – 1990
In 1955, R. Levine introduced two linear equating procedures for the common-item non-equivalent populations design. His procedures make the same assumptions about true scores; they differ in terms of the nature of the equating function used. In this paper, two parameterizations of a classical congeneric model are introduced to model the variables…
Descriptors: Equated Scores, Equations (Mathematics), Mathematical Models, Research Design
Shealy, Robin; Stout, William – 1991
A statistical procedure is presented that is designed to test for unidirectional test bias existing simultaneously in several items of an ability test, based on the assumption that test bias is incipient within the two groups' ability differences. The proposed procedure--Simultaneous Item Bias (SIB)--is based on a multidimensional item response…
Descriptors: Ability, Computer Simulation, Equations (Mathematics), Item Bias
Peer reviewedLecoutre, Bruno – Journal of Educational Statistics, 1991
The routine epsilon approximate test in repeated measures designs when the condition of circularity is unfulfilled uses an erroneous formula in the case of two or more groups. Because this may lead to underestimation of the deviation from circularity when the subject number is small, a correction is proposed. (Author/SLD)
Descriptors: Equations (Mathematics), Error Correction, Estimation (Mathematics), Mathematical Models
Boekkooi-Timminga, Ellen – 1989
The construction of parallel tests from item response theory (IRT) based item banks is discussed. Tests are considered parallel whenever their information functions are identical. After the methods for constructing parallel tests are considered, the computational complexity of 0-1 linear programming and the heuristic procedure applied are…
Descriptors: Heuristics, Item Banks, Latent Trait Theory, Mathematical Models
Schumacker, Randall E.; Harris, Mark J. – 1991
Designing a test using three-parameter item response theory (IRT) is discussed. A brief review of IRT is followed by a discussion of two types of test design: (1) selecting items using confidence envelopes (confidence envelope method); and (2) using item characteristic curves and their confidence intervals (test envelope method). The confidence…
Descriptors: Ability, Equations (Mathematics), Item Banks, Item Response Theory
Peer reviewedGross, Alan L. – Psychometrika, 1990
A model is proposed for investigating test validity as a predictor of a criterion variable when there are both missing and censored scores in the data set. Implications for maximum likelihood estimation are discussed, and the method is illustrated with hypothetical data sets. (SLD)
Descriptors: Equations (Mathematics), Mathematical Models, Maximum Likelihood Statistics, Predictive Measurement
Peer reviewedBird, Kevin D. – Educational and Psychological Measurement, 1991
A method is outlined for analysis of the shape of an individual profile of scores on a standardized test battery. The method uses a simultaneous test procedure allowing for an overall test of profile flatness, with follow-up tests on all contrasts of interest. (SLD)
Descriptors: Equations (Mathematics), Hypothesis Testing, Mathematical Models, Profiles
Nandakumar, Ratna – 1989
The theoretical differences between the traditional definition of dimensionality and the more recently defined notion of essential dimensionality are presented. Monte Carlo simulations are used to demonstrate the utility of W. F. Stout's procedure to assess the essential unidimensionality of the latent space underlying a set of terms. The…
Descriptors: Definitions, Educational Assessment, Latent Trait Theory, Mathematical Models
Bejar, Isaac I.; Wingersky, Marilyn S. – 1981
The study reports a feasibility study for using Item Response Theory (IRT) as a means of equating the Test of Standard Written English (TSWE). The study focused on the possibility of pre-equating, that is, deriving the equating transformation prior to the final administration of the test. The three-parameter logistic model was postulated as the…
Descriptors: College Entrance Examinations, Equated Scores, Goodness of Fit, Higher Education
Peer reviewedGresham, Frank M. – School Psychology Review, 1983
The multitrait multimethod model of test validation is a conceptual approach for collecting, organizing, and integrating this information in making classification and intervention decisions for handicapped children. Typical problems with assessment practice are discussed with suggestions for overcoming these difficulties using the…
Descriptors: Classification, Disabilities, Identification, Mathematical Models
Peer reviewedWoodruff, David – Journal of Educational Measurement, 1991
Improvements are made on previous estimates for the conditional standard error of measurement in prediction, the conditional standard error of estimation (CSEE), and the conditional standard error of prediction (CSEP). Better estimates of how test length affects CSEE and CSEP are derived. (SLD)
Descriptors: Equations (Mathematics), Error of Measurement, Estimation (Mathematics), Mathematical Models
van der Linden, Wim J. – 1980
A classical problem in mastery testing is the choice of passing score and test length so that the mastery decisions are optimal. This problem has been addressed several times from a variety of viewpoints. In this paper, the usual indifference zone approach is adopted, with a new criterion for optimizing the passing score. Specifically,…
Descriptors: Classification, Cutting Scores, Error Patterns, Guessing (Tests)
Mislevy, Robert J. – 1992
A closed form approximation is given for the variance of examinee proficiency estimates in the Rasch model for dichotomous items, under the condition that only estimates, rather than true values, of item difficulty parameters are available. The term that must be added to the usual response-sampling variance is inversely proportional to both the…
Descriptors: Academic Achievement, Achievement Tests, Equations (Mathematics), Estimation (Mathematics)


