The Use of an Identifiability-Based Strategy for the Interpretation of Parameters in the 1PL-G and Rasch Models

Paula Fariña (), Jorge González () and Ernesto San Martín ()
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Paula Fariña: Universidad Diego Portales
Jorge González: Pontificia Universidad Católica de Chile
Ernesto San Martín: Pontificia Universidad Católica de Chile

Psychometrika, 2019, vol. 84, issue 2, No 9, 528 pages

Abstract: Abstract Using the well-known strategy in which parameters are linked to the sampling distribution via an identification analysis, we offer an interpretation of the item parameters in the one-parameter logistic with guessing model (1PL-G) and the nested Rasch model. The interpretations are based on measures of informativeness that are defined in terms of odds of correctly answering the items. It is shown that the interpretation of what is called the difficulty parameter in the random-effects 1PL-G model differs from that of the item parameter in a random-effects Rasch model. It is also shown that the traditional interpretation of the guessing parameter in the 1PL-G model changes, depending on whether fixed-effects or random-effects versions of both models are considered.

Keywords: parameter interpretation; identifiability; IRT models (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s11336-018-09659-w

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