2PL IRT
The two-parameter logistic item response model, formalised by Frederic Lord (1980), describes the probability that a respondent answers a binary test item correctly as a smooth S-shaped function of the respondent's latent ability. By estimating a separate discrimination parameter for each item alongside a difficulty parameter, 2PL allows items to differ in how sharply they distinguish high- from low-ability respondents — making it the standard model for large-scale educational and psychological assessments.
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- Lord, F. M. (1980). Applications of Item Response Theory to Practical Testing Problems. Erlbaum. · URL
- Embretson, S. E. & Reise, S. P. (2000). Item Response Theory for Psychologists. Erlbaum. · ISBN 978-0805828191
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