On the Unidentifiability of the Fixed-Effects 3PL Model

Ernesto Martín (), Jorge González () and Francis Tuerlinckx ()

Psychometrika, 2015, vol. 80, issue 2, 450-467

Abstract: The paper offers a general review of the basic concepts of both statistical model and parameter identification, and revisits 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. Copyright The Psychometric Society 2015

Keywords: consistent estimator; identified parameters; parameters of interest; statistical model; unbiased estimator (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s11336-014-9404-2

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