Title: On the unidentifiability of the fixed-effects 3PL model
Authors: San Martín, Ernesto ×
Gonzalez Burgos, Jorge
Tuerlinckx, Francis #
Issue Date: Jun-2015
Publisher: Psychometric Society
Series Title: Psychometrika vol:80 issue:2 pages:450-467
Abstract: The paper offers a general review of the basic concepts of both statistical model and parameter
identification, and revisit the conceptual relationships between parameter identification
and both parameter interpretability and properties of parameter estimates. All these issues are
then exemplified for the 1PL, 2PL and 1PL-G fixed-effects models. For the 3PL model, however,
we provide a theorem proving that the item parameters are not identified, do not have an
empirical interpretation and that it is not possible to obtain consistent and unbiased estimates
of them.
ISSN: 0033-3123
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Quantitative Psychology and Individual Differences
× corresponding author
# (joint) last author

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