The Rediscovery of Bifactor Measurement Models

Reise, Steven P.

doi:10.1080/00273171.2012.715555

Cited by 2,112Psychometric Methodologies and TestingMental Health Research TopicsPersonality Traits and Psychology

The Rediscovery of Bifactor Measurement Models

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Reise, Steven P.·2012·Multivariate Behavioral Research

DOI 10.1080/00273171.2012.715555PMC PMC3773879

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Abstract

multidimensionality in a set of ordered categorical item responses. I begin by describing the Schmid-Leiman bifactor procedure (Schmid & Leiman, 1957), and highlight its relations with correlated-factors and second-order exploratory factor models. After describing limitations of the Schmid-Leiman, two newer methods of exploratory bifactor modeling are considered, namely, analytic bifactor (Jennrich & Bentler, 2011) and target bifactor rotations (Reise, Moore, & Maydeu-Olivares, 2011). In section two, I discuss limited and full-information estimation approaches to confirmatory bifactor models that have emerged from the item response theory and factor analysis traditions, respectively. Comparison of the confirmatory bifactor model to alternative nested confirmatory models and establishing parameter invariance for the general factor also are discussed. In the final section, important applications of bifactor models are reviewed. These applications demonstrate that bifactor modeling potentially provides a solid foundation for conceptualizing psychological constructs, constructing measures, and evaluating a measure's psychometric properties. However, some applications of the bifactor model may be limited due to its restrictive assumptions.

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Model-based reliability estimates have often been proposed as an alternative measure of reliability for structural equation modeling due to the practical limitations of Cronbach's alpha.
“Model-based reliability estimates have often been proposed as an alternative measure of reliability for structural equation modeling (Brunner et al. 2012; Reise 2012; Rodriguez et al. 2016) due to the practical limitations of Cronbach’s alpha (Dunn et al. 2014; Sijtsma 2009; Yang and Green 2011).”
From Measurement Invariance of the WISC-V across a Clinical Sample of Children and Adolescents with ADHD and a Matched Control Group (2024) · cites this paper as Reise 2012

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Authors: Reise, S. P.
Affiliations: University of California, Los Angeles (US)
Corresponding author: Reise, Steven P.
ORCID: Reise, Steven P.
Venue: Multivariate Behavioral Research
Publisher: Informa UK Limited
Published: 2012-09
Volume: 47
Issue: 5
Pages: 667-696
ISSN: 0027-3171 (ISSN-L)
1532-7906
DOI: 10.1080/00273171.2012.715555
PMC: PMC3773879
OpenAlex: W2025929695
Cited by: 2,112
References: 70
Citations by year: 2026: 203 · 2025: 113 · 2024: 134 · 2023: 174 · 2022: 165 · 2021: 200 · 2020: 222 · 2019: 181 · 2018: 203 · 2017: 175 · 2016: 139 · 2015: 98 · 2014: 68 · 2013: 32 · 2012: 4
FWCI: 85.93
Type: journal article
Language: en
Open access: bronze
doi.org
Locations: Multivariate Behavioral Research (publishedVersion)
PubMed (publishedVersion)
Europe PMC (PubMed Central) (acceptedVersion)
PubMed Central (acceptedVersion)
Funders: National Institutes of Health
National Institute on Drug Abuse (RL1DA024853)
National Institute of Arthritis and Musculoskeletal and Skin Diseases (U01AR052177)
National Institute of Dental and Craniofacial Research (UL1DE019580)
Topics: Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
Social Sciences › Psychology › Experimental and Cognitive Psychology › Mental Health Research Topics
Social Sciences › Psychology › Clinical Psychology › Personality Traits and Psychology
Keywords: bifactor model, multidimensionality, general factor, parameter invariance, nested models, construct measurement, psychometric properties

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The Rediscovery of Bifactor Measurement Models

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