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de Gruijter, Dato N. M. – Journal of Educational Measurement, 1997
K. May and W. A. Nicewander recently concluded (1994) that percentile ranks are inferior or raw scores as indicators of latent ability. It is argued that their conclusions are incorrect, and an error in their derivation is identified. The incorrect equation results in an incorrect conclusion, as work by F. M. Lord (1980) also indicates.…
Descriptors: Equations (Mathematics), Estimation (Mathematics), Raw Scores, Statistical Distributions
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de Gruijter, Dato N. M. – Journal of Educational Measurement, 1990
D. R. Divgi (1986) demonstrated that the bias of unconditional maximum likelihood (UCON) item-parameter estimates is not removed by the factor (n-1)/n. D. Andrich (1989) argued that the demonstration was faulty. In this note, a complete proof of Divgi's conclusion is presented. (Author/TJH)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Item Response Theory, Mathematical Models
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Hambleton, Ronald K.; De Gruijter, Dato N. M. – Journal of Educational Measurement, 1983
Addressing the shortcomings of classical item statistics for selecting criterion-referenced test items, this paper describes an optimal item selection procedure utilizing item response theory (IRT) and offers examples in which random selection and optimal item selection methods are compared. Theoretical advantages of optimal selection based upon…
Descriptors: Criterion Referenced Tests, Cutting Scores, Item Banks, Latent Trait Theory