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Huynh, Huynh – Journal of Educational Statistics, 1981
Simulated data based on five test score distributions indicate that a slight modification of the asymptotic normal theory for the estimation of the p and kappa indices in mastery testing will provide results which are in close agreement with those based on small samples from the beta-binomial distribution. (Author/BW)
Descriptors: Error of Measurement, Mastery Tests, Mathematical Models, Test Reliability
Peer reviewed Peer reviewed
Peng, Chao-Ying, J.; Subkoviak, Michael J. – Journal of Educational Measurement, 1980
Huynh (1976) suggested a method of approximating the reliability coefficient of a mastery test. The present study examines the accuracy of Huynh's approximation and also describes a computationally simpler approximation which appears to be generally more accurate than the former. (Author/RL)
Descriptors: Error of Measurement, Mastery Tests, Mathematical Models, Statistical Analysis
Peer reviewed Peer reviewed
Huynh, Huynh; Saunders, Joseph C. – Journal of Educational Measurement, 1980
Single administration (beta-binomial) estimates for the raw agreement index p and the corrected-for-chance kappa index in mastery testing are compared with those based on two test administrations in terms of estimation bias and sampling variability. Bias is about 2.5 percent for p and 10 percent for kappa. (Author/RL)
Descriptors: Comparative Analysis, Error of Measurement, Mastery Tests, Mathematical Models
van der Linden, Wim J. – 1980
Occasionally, situations arise where mixtures of two binomials with one known success parameter are met. An example in educational testing is the mastery or random guessing model in which an examinee is supposed either to master the items or not to master them and to guess blindly. This paper gives moment estimators for such mixtures and presents…
Descriptors: Equations (Mathematics), Error of Measurement, Estimation (Mathematics), Foreign Countries
Scheetz, James P.; vonFraunhofer, J. Anthony – 1980
Subkoviak suggested a technique for estimating both group reliability and the reliability associated with assigning a given individual to a mastery or non-mastery category based on a single test administration. Two assumptions underlie this model. First, it is assumed that had successive test administrations occurred, scores for each individual…
Descriptors: Criterion Referenced Tests, Cutting Scores, Error of Measurement, Higher Education
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
Phillips, Gary W. – 1983
Ways in which the Statistical Package for the Social Sciences (SPSS) can be used to perform some Rasch analyses are described in detail. It is shown how SPSS and a set of item calibrations can be used to estimate person abilities, standard errors of measurement, test characteristic curve, test information curve, classification consistency on a…
Descriptors: Classification, Computer Software, Error of Measurement, Estimation (Mathematics)
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Brennan, Robert L. – 1979
Using the basic principles of generalizability theory, a psychometric model for domain-referenced interpretations is proposed, discussed, and illustrated. This approach, assuming an analysis of variance or linear model, is applicable to numerous data collection designs, including the traditional persons-crossed-with-items design, which is treated…
Descriptors: Analysis of Variance, Cost Effectiveness, Criterion Referenced Tests, Cutting Scores