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A new approach to test score equating using item response theory with fixed C-parameters
Author(s) -
Guemin Lee,
Anne R. Fitzpatrick
Publication year - 2008
Publication title -
asia pacific education review
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.554
H-Index - 32
eISSN - 1876-407X
pISSN - 1598-1037
DOI - 10.1007/bf03026714
Subject(s) - equating , item response theory , metric (unit) , calibration , test theory , mathematics , statistics , linear model , transformation (genetics) , scale (ratio) , econometrics , psychometrics , rasch model , engineering , biochemistry , operations management , chemistry , physics , quantum mechanics , gene
Because parameter estimates from different calibration runs under the IRT model are linearly related, a linear equation can convert IRT parameter estimates onto another scale metric without changing the probability of a correct response (Kolen & Brennan, 1995, 2004). This study was designed to explore a new approach to finding a linear equation by fixing C-parameters for anchor items in IRT equating. A rationale for fixing C-parameters for anchor items in IRT equating can be established from the fact that the C-parameters are not affected by any linear transformation. This new approach can avoid the difficulty in getting accurate C-parameters for anchor items embedded in the application of the IRT model. Based upon our findings in this study, we would recommend using the new approach to fix C-parameters for anchor items in IRT equating.

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