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Lowerre, George F. – Educational and Psychological Measurement, 1973
The purpose of this note is to derive a simple formula which gives the correlation between shortened versions of two tests, based on the correlations between the longer tests. (Author)
Descriptors: Correlation, Mathematical Applications, Scoring Formulas, Statistical Analysis
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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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Pandey, Tej N.; Shoemaker, David M. – Educational and Psychological Measurement, 1975
Described herein are formulas and computational procedures for estimating the mean and second through fourth central moments of universe scores through multiple matrix sampling. Additionally, procedures are given for approximating the standard error associated with each estimate. All procedures are applicable when items are scored either…
Descriptors: Error of Measurement, Item Sampling, Matrices, Scoring Formulas
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Zimmerman, Donald W. – Educational and Psychological Measurement, 1972
Although a great deal of attention has been devoted over a period of years to the estimation of reliability from item statistics, there are still gaps in the mathematical derivation of the Kuder-Richardson results. The main purpose of this paper is to fill some of these gaps, using language consistent with modern probability theory. (Author)
Descriptors: Mathematical Applications, Probability, Scoring Formulas, Statistical Analysis
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Gordon, Leonard V. – Educational and Psychological Measurement, 1971
Results indicate that extremeness response sets at the two ends of the continuum differentially contribute to scale validity. (MS)
Descriptors: Attitude Measures, Rating Scales, Response Style (Tests), Scoring Formulas
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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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Scott, William A. – Educational and Psychological Measurement, 1972
Descriptors: Item Sampling, Mathematical Applications, Scoring Formulas, Statistical Analysis
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Gleser, Leon Jay – Educational and Psychological Measurement, 1972
Paper is concerned with the effect that ipsative scoring has upon a commonly used index of between-subtest correlation. (Author)
Descriptors: Comparative Analysis, Forced Choice Technique, Mathematical Applications, Measurement Techniques
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Frary, Robert B.; Hutchinson, T.P. – Educational and Psychological Measurement, 1982
Alternate versions of Hutchinson's theory were compared, and one which implies the existence of partial knowledge was found to be better than one which implies that an appropriate measure of ability is obtained by applying the conventional correction for guessing. (Author/PN)
Descriptors: Guessing (Tests), Latent Trait Theory, Multiple Choice Tests, Scoring Formulas