Literature DB >> 27646346

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

Hao Wu1.   

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:  3PL model; identification; item response theory

Mesh：

Year:  2016        PMID： 27646346     DOI： 10.1007/s11336-016-9519-8

Source DB:  PubMed          Journal:  Psychometrika        ISSN： 0033-3123            Impact factor:   2.500


  6 in total

1.  Hypothesis testing in a mixture case-control model.

Authors:  Jing Qin; Kung-Yee Liang
Journal:  Biometrics       Date:  2011-03       Impact factor: 2.571

2.  Erratum to: On the Unidentifiability of the Fixed-Effects 3PL Model.

Authors:  Ernesto San Martín; Jorge González; Francis Tuerlinckx
Journal:  Psychometrika       Date:  2015-12       Impact factor: 2.500

3.  Identification of Confirmatory Factor Analysis Models of Different Levels of Invariance for Ordered Categorical Outcomes.

Authors:  Hao Wu; Ryne Estabrook
Journal:  Psychometrika       Date:  2016-07-11       Impact factor: 2.500

4.  On the Unidentifiability of the Fixed-Effects 3PL Model.

Authors:  Ernesto San Martín; Jorge González; Francis Tuerlinckx
Journal:  Psychometrika       Date:  2014-01-31       Impact factor: 2.500

5.  On the likelihood ratio tests in bivariate ACDE models.

Authors:  Hao Wu; Michael C Neale
Journal:  Psychometrika       Date:  2012-12-08       Impact factor: 2.500

6.  Linking Item Response Model Parameters.

Authors:  Wim J van der Linden; Michelle D Barrett
Journal:  Psychometrika       Date:  2015-07-09       Impact factor: 2.500
  6 in total
  3 in total

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

Authors:  Paula Fariña; Jorge González; Ernesto San Martín
Journal:  Psychometrika       Date:  2019-01-23       Impact factor: 2.500

2.  Identification of Confirmatory Factor Analysis Models of Different Levels of Invariance for Ordered Categorical Outcomes.

Authors:  Hao Wu; Ryne Estabrook
Journal:  Psychometrika       Date:  2016-07-11       Impact factor: 2.500

3.  An Item Response Model for True-False Exams Based on Signal Detection Theory.

Authors:  Lawrence T DeCarlo
Journal:  Appl Psychol Meas       Date:  2019-04-23
  3 in total

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