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- Title
Fixing the c Parameter in the Three-Parameter Logistic Model.
- Authors
Han, Kyung T.
- Abstract
For several decades, the three-parameter logistic model (3PLM) has been the dominant choice for practitioners in the field of educational measurement for modeling examinees' response data from multiple-choice (MC) items. Past studies, however, have pointed out that the c-parameter of 3PLM should not be interpreted as a guessing parameter. This study found logical, empirical evidence showing that neither the a-, b-, or cparameters of 3PLM can accurately reflect the discrimination, difficulty, and guessing properties of an item, respectively. This study reconceptualized the problem-solving and guessing processes with a modification of the 3PLM that eliminates ambiguity in modeling the guessing process. A series of studies using various real and simulated data demonstrated that the suggested model, in which the c-parameters were fixed at a computed probability for successful random guessing (i.e., c = 1 / k with k being the number of options), could provide a more feasible, stable, and accurate item estimation solution without sacrificing the model fit compared with a typical 3PLM.
- Subjects
GUESSING (Educational tests &; measurements); EDUCATIONAL tests &; measurements; RESPONSE styles (Examinations)
- Publication
Practical Assessment, Research & Evaluation, 2012, Vol 17, Issue 1, p1
- ISSN
1531-7714
- Publication type
Article