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Gerhard Tutz; Pascal Jordan – Journal of Educational and Behavioral Statistics, 2024
A general framework of latent trait item response models for continuous responses is given. In contrast to classical test theory (CTT) models, which traditionally distinguish between true scores and error scores, the responses are clearly linked to latent traits. It is shown that CTT models can be derived as special cases, but the model class is…
Descriptors: Item Response Theory, Responses, Scores, Models
Soysal, Sumeyra; Yilmaz Kogar, Esin – International Journal of Assessment Tools in Education, 2022
The testlet comprises a set of items based on a common stimulus. When the testlet is used in the tests, there may violate the local independence assumption, and in this case, it would not be appropriate to use traditional item response theory models in the tests in which the testlet is included. When the testlet is discussed, one of the most…
Descriptors: Test Items, Test Theory, Models, Sample Size
Ellis, Jules L. – Educational and Psychological Measurement, 2021
This study develops a theoretical model for the costs of an exam as a function of its duration. Two kind of costs are distinguished: (1) the costs of measurement errors and (2) the costs of the measurement. Both costs are expressed in time of the student. Based on a classical test theory model, enriched with assumptions on the context, the costs…
Descriptors: Test Length, Models, Error of Measurement, Measurement
Joshua B. Gilbert – Annenberg Institute for School Reform at Brown University, 2022
This simulation study examines the characteristics of the Explanatory Item Response Model (EIRM) when estimating treatment effects when compared to classical test theory (CTT) sum and mean scores and item response theory (IRT)-based theta scores. Results show that the EIRM and IRT theta scores provide generally equivalent bias and false positive…
Descriptors: Item Response Theory, Models, Test Theory, Computation