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Brennan, Robert L.; Prediger, Dale J. – Educational and Psychological Measurement, 1981
This paper considers some appropriate and inappropriate uses of coefficient kappa and alternative kappa-like statistics. Discussion is restricted to the descriptive characteristics of these statistics for measuring agreement with categorical data in studies of reliability and validity. (Author)
Descriptors: Classification, Error of Measurement, Mathematical Models, Test Reliability
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Williams, Richard H.; Zimmerman, Donald W. – Journal of Experimental Education, 1982
A mathematical link between test reliability and test validity is derived, taking into account the correlation between error scores on a test and error scores on a criterion measure. When this correlation is positive, the "paradoxical" nonmonotonic relation between test reliability and test validity occurs universally. (Author/BW)
Descriptors: Correlation, Error of Measurement, Mathematical Models, Test Reliability
Peer reviewed Peer reviewed
Whitely, Susan E. – Journal of Educational Measurement, 1977
A debate concerning specific issues and the general usefulness of the Rasch latent trait test model is continued. Methods of estimation, necessary sample size, and the applicability of the model are discussed. (JKS)
Descriptors: Error of Measurement, Item Analysis, Mathematical Models, Measurement
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Woodruff, David – Journal of Educational Measurement, 1990
A method of estimating conditional standard error of measurement at specific score/ability levels is described that avoids theoretical problems identified for previous methods. The method focuses on variance of observed scores conditional on a fixed value of an observed parallel measurement, decomposing these variances into true and error parts.…
Descriptors: Error of Measurement, Estimation (Mathematics), Mathematical Models, Predictive Measurement
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Wright, Benjamin D. – Journal of Educational Measurement, 1977
Statements made in a previous article of this journal concerning the Rasch latent trait test model are questioned. Methods of estimation, necessary sample sizes, several formuli, and the general usefulness of the Rasch model are discussed. (JKS)
Descriptors: Computers, Error of Measurement, Item Analysis, Mathematical Models
Peer reviewed Peer reviewed
Kristof, Walter – Psychometrika, 1971
Descriptors: Cognitive Measurement, Error of Measurement, Mathematical Models, Psychological Testing
Kane, Michael T. – 1980
The reliability and validity of measurement is analyzed by a sampling model based on generalizability theory. A model for the relationship between a measurement procedure and an attribute is developed from an analysis of how measurements are used and interpreted in science. The model provides a basis for analyzing the concept of an error of…
Descriptors: Attribution Theory, Behavioral Sciences, Error of Measurement, Mathematical Models
Douglass, James B. – 1979
A general process for testing the feasibility of applying alternative mathematical or statistical models to the solution of a practical problem is presented and flowcharted. The system is used to develop a plan to compare models for test equating. The five alternative models to be considered for equating are: (1) anchor test equating using…
Descriptors: Equated Scores, Error of Measurement, Latent Trait Theory, Mathematical Models
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Embretson, Susan; And Others – Journal of Educational Measurement, 1986
This study examined the influence of processing strategies, and the metacomponents that determine when to apply them, on the construct validity of a verbal reasoning test. A rule-oriented strategy, an association strategy, and a partial rule strategy were examined. All three strategies contributed to individual differences in verbal reasoning.…
Descriptors: Cognitive Processes, Elementary Secondary Education, Error of Measurement, Latent Trait Theory
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Shavelson, Richard J.; And Others – Journal of Educational Measurement, 1993
Evidence is presented on the generalizability and convergent validity of performance assessments using data from six studies of student achievement that sampled a wide range of measurement facets and methods. Results at individual and school levels indicate that task-sampling variability is the major source of measurement error. (SLD)
Descriptors: Academic Achievement, Educational Assessment, Error of Measurement, Generalizability Theory
Harris, Chester W.; And Others – 1977
The implications of a mathematical model of test scores are explored where the data are limited to a random sample of items without replacement from an indefinitely large population or item domain in which items are scored either zero or one. The purpose is to obtain an unbiased estimate of a student's proportion of items correct in the item…
Descriptors: Academic Achievement, Achievement Tests, Annotated Bibliographies, Bibliographies
Cason, Gerald J.; And Others – 1983
Prior research in a single clinical training setting has shown Cason and Cason's (1981) simplified model of their performance rating theory can improve rating reliability and validity through statistical control of rater stringency error. Here, the model was applied to clinical performance ratings of 14 cohorts (about 250 students and 200 raters)…
Descriptors: Clinical Experience, Error of Measurement, Evaluation Methods, Higher Education
Davison, Mark L.; Chang, Yu-Wen – 1992
A two-dimensional, compensatory item response model and a unidimensional model were fitted to the reading and mathematics items in the Woodcock-Johnson Psycho-Educational Battery-Revised for a sample of 1,000 adults aged 20-39 years. Multidimensional information theory predicts that if the unidimensional abilities can be represented as vectors in…
Descriptors: Achievement Tests, Adults, Equations (Mathematics), Error of Measurement
Haladyna, Tom; Roid, Gale – 1976
Three approaches to the construction of achievement tests are compared: construct, operational, and empirical. The construct approach is based upon classical test theory and measures an abstract representation of the instructional objectives. The operational approach specifies instructional intent through instructional objectives, facet design,…
Descriptors: Academic Achievement, Achievement Tests, Career Development, Comparative Analysis