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Peer reviewedBuchanan, Bruce – Psychometrika, 1988
A model is proposed that describes subject behavior on repeat paired comparison preference tests. The model extends prior work in this area in that it explicitly allows for abstentions and permits the derivation of individual true scores of discrimination ability as well as conditional estimates of proportionate preference. (Author/TJH)
Descriptors: Attitude Measures, Equations (Mathematics), Guessing (Tests), Mathematical Models
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
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
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
Peer reviewedDrasgow, Fritz; And Others – Applied Psychological Measurement, 1991
Extensions of unidimensional appropriateness indices are developed for multiunidimensional tests (multidimensional tests composed of unidimensional subtests). Simulated and real data (scores of 2,978 students on the Armed Services Vocational Aptitude Battery) were used to evaluate the indices' effectiveness in determining individuals who are…
Descriptors: Comparative Testing, Computer Simulation, Equations (Mathematics), Graphs
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)
Peer reviewedWilliams, John Delane – Multivariate Behavioral Research, 1991
A proposed solution for the age x cohort x period issue in lifespan research uses all data, even with missing cells; can be used for repeated measures designs or designs in which new subjects are measured at each period; and allows assessment of each main effect and two-way interaction. (SLD)
Descriptors: Age, Analysis of Variance, Cohort Analysis, Data Interpretation
Peer reviewedEiting, Mindert H. – Applied Psychological Measurement, 1991
A method is proposed for sequential evaluation of reliability of psychometric instruments. Sample size is unfixed; a test statistic is computed after each person is sampled and a decision is made in each stage of the sampling process. Results from a series of Monte-Carlo experiments establish the method's efficiency. (SLD)
Descriptors: Computer Simulation, Equations (Mathematics), Estimation (Mathematics), Mathematical Models
Peer reviewedBaker, Frank B.; Al-Karni, Ali – Journal of Educational Measurement, 1991
Two methods of computing test equating coefficients under item response theory by the following authors are compared: (1) B. H. Loyd and H. D. Hoover (1980); and (2) M. L. Stocking and F. M. Lord (1983). Conditions under which the method of Stocking and Lord is preferable are described. (SLD)
Descriptors: Ability, College Entrance Examinations, Comparative Analysis, Equated Scores
Peer reviewedWilson, Mark; Masters, Geoffery N. – Psychometrika, 1993
A strategy is described for dealing with measurement situations in which certain categories of responses are null, that is, persons do not respond in certain categories to certain items. The method is described for the partial credit model while maintaining the integrity of the original response framework. (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Item Response Theory, Mathematical Models
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