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Wilcox, Rand R. – Journal of Educational Statistics, 1981
Both the binomial and beta-binomial models are applied to various problems occurring in mental test theory. The paper reviews and critiques these models. The emphasis is on the extensions of the models that have been proposed in recent years, and that might not be familiar to many educators. (Author)
Descriptors: Error of Measurement, Item Analysis, Mathematical Models, Test Reliability
Peer reviewed Peer reviewed
Huynh, Huynh – Journal of Educational Statistics, 1986
Under the assumptions of classical measurement theory and the condition of normality, a formula is derived for the reliability of composite scores. The formula represents an extension of the Spearman-Brown formula to the case of truncated data. (Author/JAZ)
Descriptors: Computer Simulation, Error of Measurement, Expectancy Tables, Scoring Formulas
Peer reviewed Peer reviewed
Armstrong, Ronald D.; And Others – Journal of Educational Statistics, 1994
A network-flow model is formulated for constructing parallel tests based on classical test theory while using test reliability as the criterion. Practitioners can specify a test-difficulty distribution for values of item difficulties as well as test-composition requirements. An empirical study illustrates the reliability of generated tests. (SLD)
Descriptors: Algorithms, Computer Assisted Testing, Difficulty Level, Item Banks
Peer reviewed Peer reviewed
Morgan, Anne; Wainer, Howard – Journal of Educational Statistics, 1980
Two estimation procedures for the Rasch Model of test analysis are reviewed in detail, particularly with respect to new developments that make the more statistically rigorous conditional maximum likelihood estimation practical for use with longish tests. (Author/JKS)
Descriptors: Error of Measurement, Latent Trait Theory, Maximum Likelihood Statistics, Psychometrics