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A Note on the Identifiability of Fixed-Effect 3PL Models

Published online by Cambridge University Press:  01 January 2025

Hao Wu Open the ORCID record for Hao Wu [Opens in a new window]
Hao Wu*
Affiliation:
Boston College
*
Correspondence should be made to Hao Wu, Department of Psychology, Boston College, 140 Commonwealth Ave, Chestnut Hill, MA 02467, USA. Email: hao.wu.5@bc.edu
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Abstract

In this note, we prove that the 3 parameter logistic model with fixed-effect abilities is identified only up to a linear transformation of the ability scale under mild regularity conditions, contrary to the claims in Theorem 2 of San Martín et al. (Psychometrika, 80(2):450–467, 2015a).

Keywords

item response theory3PL modelidentification
Type
Article
Information
Psychometrika , Volume 81 , Issue 4 , December 2016 , pp. 1093 - 1097
Copyright
Copyright © 2016 The Psychometric Society

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References

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