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Osler, James Edward; Mansaray, Mahmud A. – Journal of Educational Technology, 2013
The online deployment of Technology Engineered online Student Ratings of Instruction (SRIs) by colleges and universities in the United States has dynamically changed the deployment of course evaluation. This research investigation is the fourth part of a post hoc study that analytically and psychometrically examines the design, reliability, and…
Descriptors: Course Evaluation, Educational Technology, Black Colleges, Higher Education
Brink, Nicholas E. – 1970
A basic description of the Rasch model and a brief review of the work previously done on the model is related. Simulated data was used to test goodness of fit to the Rasch model. It was found that data with near perfect fit to the Guttman model provides perfect fit to the Rasch model, though a perfect Guttman scale collapses. Random data also…
Descriptors: Item Analysis, Mathematical Models, Rating Scales, Statistical Analysis
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Baker, Frank B. – Review of Educational Research, 1977
Recent advances in item analysis have provided greater capabilities for the analysis of tests, but have also significantly increased the gap between the theory and practice of item analysis. This paper traces the lines of development in item analysis under latent trait theory. (MV)
Descriptors: Correlation, Item Analysis, Latent Trait Theory, Mathematical Models
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Bart, William M.; Krus, David J. – Educational and Psychological Measurement, 1973
With the ordering-theoretic method of item hierarchy construction any array of bivalued item data can be analyzed to determine the item hierarchy structure. (Authors)
Descriptors: Item Analysis, Mathematical Models, Measurement Techniques, Organization
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Holland, Paul W. – Psychometrika, 1981
Deciding whether sets of test data are consistent with any of a large class of item response models is considered. The assumption of local independence is weakened to a new condition, local nonnegative dependence (LND). Necessary and sufficient conditions are derived for a LND item response model. (Author/JKS)
Descriptors: Item Analysis, Latent Trait Theory, Mathematical Models, Psychometrics
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Follmann, Dean – Psychometrika, 1988
The equivalence between non-parametric marginal logistic models (NMLMs) and a class of discrete marginal logistic models is examined. Parametric models offer some of the advantages of the NMLMs approach, but there are more restrictions on the manifest probabilities. (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Item Analysis, Mathematical Models
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Wilcox, Rand R. – Educational and Psychological Measurement, 1980
Technical problems in achievement testing associated with using latent structure models to estimate the probability of guessing correct responses by examinees is studied; also the lack of problems associated with using Wilcox's formula score. Maximum likelihood estimates are derived which may be applied when items are hierarchically related.…
Descriptors: Guessing (Tests), Item Analysis, Mathematical Models, Maximum Likelihood Statistics
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Flexser, Arthur J. – Psychological Review, 1981
Contingency analyses have been employed to assess the degree to which outcomes of successive tests of corresponding items deviate from stochastic independence. A method of adjusting contingency tables to remove the effects of subject and item inhomogeneities, is presented. The method represents a partial solution to the "Simpson's…
Descriptors: Correlation, Expectancy Tables, Goodness of Fit, Item Analysis
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Harris, Chester W.; Pearlman, Andrea Pastorok – Journal of Educational Statistics, 1978
A theory and a procedure are presented for estimating a domain parameter and item parameters for test items in a homogeneous domain, such that the combined domain and item parameters account for observed proportions right for each item in a test. (CTM)
Descriptors: Achievement Tests, Difficulty Level, Item Analysis, Mathematical Models
Sympson, James B. – 1976
Latent trait test score theory is discussed primarily in terms of Birnbaum's three-parameter logistic model, and with some reference to the Rasch model. Equations and graphic illustrations are given for item characteristic curves and item information curves. An example is given for a hypothetical 20-item adaptive test, showing cumulative results…
Descriptors: Adaptive Testing, Bayesian Statistics, Item Analysis, Latent Trait Theory
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Yen, Wendy M. – Psychometrika, 1985
An approximate relationship is devised between the unidimensional model used in data analysis and a multidimensional model hypothesized to be generating the item responses. Scale shrinkage is successfully predicted for several sets of simulated data. (Author/LMO)
Descriptors: Difficulty Level, Hypothesis Testing, Item Analysis, Latent Trait Theory
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Lautenschlager, Gary J.; Park, Dong-Gun – Applied Psychological Measurement, 1988
The consequences of using item response theory (IRT) item bias detecting procedures with multidimensional IRT item data are examined. Limitations in procedures for detecting item bias are discussed. (SLD)
Descriptors: Item Analysis, Latent Trait Theory, Mathematical Models, Multidimensional Scaling
Baker, Frank B.; Hoyt, Cyril J. – 1972
A scaling technique known as the Method of Reciprocal Averages has been in use since the early 1930's. This technique yields a set of item response weights for a psychological inventory which maximizes the internal consistency of the inventory for a group of subjects. Although the technique has been used for many years, its mathematical…
Descriptors: Analysis of Variance, Correlation, Evaluation Methods, Item Analysis
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Thissen, David M. – 1977
Few phenomena in psychology have been studied more than reaction time. However, while response latency now provides the basic data for research in many areas of cognitive psychology, little work has been done on the problem of incorporating response latency in the measurement of individual differences. A solution to this problem requires the…
Descriptors: Cognitive Ability, Cognitive Tests, Individual Differences, Item Analysis
Levine, Michael V. – 1976
It is shown that empirical mental test P - P plots are approximately equal to theoretical item-item curves, at least for long tests administered to many people. This result is important because it leads to (1) a distribution free method for estimating points on item-item curves; (2) a general method for defining estimates of item parameters; and…
Descriptors: Item Analysis, Latent Trait Theory, Mathematical Applications, Mathematical Models
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