Skip to main content

ETHNOS_APP

Home • Search • Journals • List 0

Measurement Invariance

Dealing with the Uncertainty in Anchor Item Choice by Model Averaging

Bibliographic Data

ID21641705
AuthorsDaniel Schulze (0000-0001-9415-2555, Freie Universität Berlin, corresponding author), Benedikt Reuter (0000-0002-3382-1396, Humboldt-Universität zu Berlin), Steffi Pohl (0000-0002-5178-8171, Freie Universität Berlin)
Year2022
Volume29
Issue4
Pages521-530
Publication date2022-07-04
Open AccessNo
TypeARTICLE
VenueStructural Equation Modeling: A Multidisciplinary Journal (JOURNAL)
Journal identifiersISSN: 1070-5511 • E-ISSN: 1532-8007
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1080/10705511.2021.2012785
OpenAlexW4213267532
LanguageEN
Citations received1
References cited39

A core challenge in modeling partial measurement invariance (MI) is choosing reference items as anchors for which MI indeed holds. Many approaches dealing with this issue have been proposed, each making a different assumption about MI and yielding a single set of anchor items. Here, we consider the case where i) partial MI modeling is used for estimating effects, e.g., a group mean difference, and ii) there is no straightforward theoretical reason to choose specific items as anchors. We argue that in this situation the uncertainty of anchor item choice should be considered and propose to use model averaging with a priori defined model weights. The approach allows not only to depict uncertainty in the anchor items choice but also allows to include prior knowledge and beliefs of the researcher. We derive the properties of the approach and illustrate its use with an example on the assessment of obsessive-compulsive disorder

A priori and a posteriori · Confirmatory factor analysis · Econometrics · Epistemology · Machine learning · Measurement invariance · Structural equation modeling · Advanced Causal Inference Techniques · Behavioral and Psychological Studies · Computer Science · Health Systems, Economic Evaluations, Quality of Life · Mathematics · Artificial Intelligence

  • Using Item Response Theory Models in Scaling Severity Scores in Alcohol Research—A Tutorial

    Open Access•Daniel Schulze, Kim Bloomfield et al.•Drug and Alcohol Review•2026

  • Stan

    Open Access•Bob Carpenter, Andrew Gelman et al.•Journal of Statistical Software•2017

  • The Yale-Brown Obsessive Compulsive Scale

    Wayne K Goodman•Archives of General Psychiatry•1989

  • A General Structural Equation Model with Dichotomous, Ordered Categorical, and Continuous Latent Variable Indicators

    Open Access•Bengt Muthén•Psychometrika•1984

  • A more general model for testing measurement invariance and differential item functioning.

    Open Access•Daniel J Bauer•Psychological Methods•2017

  • Multiple-Group Factor Analysis Alignment

    Tihomir Asparouhov, Bengt Muthén•Structural Equation Modeling: A…•2014

  • Stacked generalization

    Open Access•David H Wolpert•Neural Networks•1992

  • Bagging predictors

    Open Access•Leo Breiman•Machine Learning•1996

  • Bayes Factors

    Robert E Kass, Adrian E Raftery•Journal of the American…•1995

  • Measurement Invariance, Factor Analysis and Factorial Invariance

    Open Access•William Meredith•Psychometrika•1993

  • A checklist for testing measurement invariance

    Rens Van De Schoot, Peter Lugtig et al.•European Journal of Developmental…•2012

  • Finding Clusters of Measurement Invariant Items for Continuous Covariates

    Daniel Schulze, Steffi Pohl•Structural Equation Modeling: A…•2021

  • Anchor Selection Strategies for DIF Analysis

    Open Access•Julia Kopf, Achim Zeileis et al.•Educational and Psychological…•2015

  • Testing for the equivalence of factor covariance and mean structures

    Barbara M Byrne, Richard J Shavelson et al.•Psychological Bulletin•1989

  • What happens if we compare chopsticks with forks? The impact of making inappropriate comparisons in cross-cultural research

    Fangfang Chen, Fang Fang Chen•Journal of Personality and Social…•2008

Citations per year1
Citation span2026 - 2026 (1)
Highly citedNo

Tools

Open DOI
Ethnos_APP • Open Source Project • MIT License • Frontend v2.0.0 • Privacy and Cookies • API Documentation: api.ethnos.app/docs • API Source Code: GitHub • DOI: 10.5281/zenodo.17049435 • Frontend Source Code: GitHub • DOI: 10.5281/zenodo.17050053 • cruz.rio.br • Expectantes Misericordiae