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Guangming Li; Zhengyan Liang – SAGE Open, 2024
In order to investigate the influence of separation of grade distributions and ratio of common items on the precision of vertical scaling, this simulation study chooses common item design and first grade as base grade. There are four grades with 1,000 students each to take part in a test which has 100 items. Monte Carlo simulation method is used…
Descriptors: Elementary School Students, Grade 1, Grade 2, Grade 3
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Shu, Lianghua; Schwarz, Richard D. – Journal of Educational Measurement, 2014
As a global measure of precision, item response theory (IRT) estimated reliability is derived for four coefficients (Cronbach's a, Feldt-Raju, stratified a, and marginal reliability). Models with different underlying assumptions concerning test-part similarity are discussed. A detailed computational example is presented for the targeted…
Descriptors: Item Response Theory, Reliability, Models, Computation
Wang, Tianyou; And Others – 1996
M. J. Kolen, B. A. Hanson, and R. L. Brennan (1992) presented a procedure for assessing the conditional standard error of measurement (CSEM) of scale scores using a strong true-score model. They also investigated the ways of using nonlinear transformation from number-correct raw score to scale score to equalize the conditional standard error along…
Descriptors: Ability, Classification, Error of Measurement, Goodness of Fit