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Lord, Frederic M. – Educational and Psychological Measurement, 1973
A group of 21 students was tested under a time limit considerably shorter than should have been allowed. This report describes a tryout of a method for estimating the power'' scores that would have been obtained if the students had had enough time to finish. (Author/CB)
Descriptors: Mathematical Models, Scoring Formulas, Statistical Analysis, Theories
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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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Penfield, Douglas A.; Koffler, Stephen L. – Journal of Experimental Education, 1978
Three nonparametric alternatives to the parametric Bartlett test are presented for handling the K-sample equality of variance problem. The two-sample Siegel-Tukey test, Mood test, and Klotz test are extended to the multisample situation by Puri's methods. These K-sample scale tests are illustrated and compared. (Author/GDC)
Descriptors: Comparative Analysis, Guessing (Tests), Higher Education, Mathematical Models
Childs, Roy – 1976
The norm-referenced score scale used by the National Foundation for Educational Research (NFER) is described. The usefulness of standardized scores is explained by a simple numerical example, and the formulas and computations are shown for calculating a mean, a standard deviation, and a deviation or z score. The need for a representative sample is…
Descriptors: Computation, Foreign Countries, Guides, Mathematical Formulas
Livingston, Samuel A. – 1986
This paper deals with test fairness regarding a test consisting of two parts: (1) a "common" section, taken by all students; and (2) a "variable" section, in which some students may answer a different set of questions from other students. For example, a test taken by several thousand students each year contains a common multiple-choice portion and…
Descriptors: Difficulty Level, Error of Measurement, Essay Tests, Mathematical Models