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Estimation of an IRT Model by Mplus for Dichotomously Scored Responses Under Different Estimation Methods

Bibliographic Data

ID20282935
AuthorsInsu Paek (0000-0002-2552-9475, Florida State University, Tallahassee, FL, USA, corresponding author), Mengyao Cui (Amplify Education, Inc, Brooklyn, NY, USA), Neşe Öztürk Gübeş (0000-0003-0179-1986, Mehmet Akif Ersoy University, Burdur, Turkey), Yanyun Yang (0000-0001-6671-1583, Florida State University, Tallahassee, FL, USA)
Year2018
Volume78
Issue4
Pages569-588
Publication date2018-08-01
Open AccessYes
TypeARTICLE
VenueEducational and Psychological Measurement (JOURNAL)
Journal identifiersISSN: 0013-1644 • E-ISSN: 1552-3888
PublisherSAGE Publications (PUBLISHER • US)
DOI10.1177/0013164417715738
PMID30147117
OpenAlexW2697533425
LanguageEN
Citations received8
References cited9

The purpose of this article is twofold. The first is to provide evaluative information on the recovery of model parameters and their standard errors for the two-parameter item response theory (IRT) model using different estimation methods by Mplus. The second is to provide easily accessible information for practitioners, instructors, and students about the relationships between IRT and item factor analysis (FA) parameterizations. Specifically, this is done using the “Theta” and “Delta” parameterizations in Mplus for unidimensional and multidimensional modeling with dichotomous and polytomous responses with and without the scaling constant D. The first objective aims at investigating differences that may occur when using different estimation methods in Mplus for binary response modeling. The second objective was motivated by practical interest observed among graduate students and applied researchers. The relations between IRT and Mplus FA “Theta” and “Delta” parameterizations are described using expressions without the use of matrices, which can be understood efficiently by applied researchers and students

Developmental psychology · Econometrics · Estimation · Item response theory · Polytomous Rasch model · Psychometrics · Statistics · Structural equation modeling · Advanced Statistical Modeling Techniques · Mathematics · Psychology · Psychometric Methodologies and Testing

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Citations per year1.14
Citation span2019 - 2025 (7)
Highly citedNo

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