ArticlePsychometrika2015
Quantifying Adventitious Error in a Covariance Structure as a Random Effect.
Article in Psychometrika, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- Historical Measurement Information Can Be Used to Improve Estimation of Structural Parameters in Structural Equation Models With Small Samples.Educational and psychological measurement · 2025Article
- The simulation-cum-ROC approach: A new approach to generate tailored cutoffs for fit indices through simulation and ROC analysis.Behavior research methods · 2025Article
- Rotation Local Solutions in Multidimensional Item Response Theory Models.Educational and psychological measurement · 2024Article
- Handling dependent samples in meta-analytic structural equation models: A Wishart-based approach.Behavior research methods · 2024Article
- Adventitious Error and Its Implications for Testing Relations Between Variables and for Composite Measurement Outcomes.Psychometrika · 2024Article
- Modeling Misspecification as a Parameter in Bayesian Structural Equation Models.Educational and psychological measurement · 2024Article
- To Check or Not to Check? A Comment on the Contemporary Psychometrics (ConPsy) Checklist for the Analysis of Questionnaire Items.European journal of investigation in health, psychology and education · 2023Article
- Dynamic fit index cutoffs for one-factor models.Behavior research methods · 2023Article
- Reanalysis of the German PISA Data: A Comparison of Different Approaches for Trend Estimation With a Particular Emphasis on Mode Effects.Frontiers in psychology · 2020Article
- Creating Misspecified Models in Moment Structure Analysis.Psychometrika · 2019Article
- Modified Distribution-Free Goodness-of-Fit Test Statistic.Psychometrika · 2018Article
- Assessing the Size of Model Misfit in Structural Equation Models.Psychometrika · 2017Article
- Random Model Discrepancy: Interpretations and Technicalities (A Rejoinder).Psychometrika · 2015Article
- Advances in Modeling Model Discrepancy: Comment on Wu and Browne (2015).Psychometrika · 2015Article
Corrections and comments
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- Erratum issued
Authors and funding
2 authors.
Funding
Abstract
We present an approach to quantifying errors in covariance structures in which adventitious error, identified as the process underlying the discrepancy between the population and the structured model, is explicitly modeled as a random effect with a distribution, and the dispersion parameter of this distribution to be estimated gives a measure of misspecification. Analytical properties of the resultant procedure are investigated and the measure of misspecification is found to be related to the root mean square error of approximation. An algorithm is developed for numerical implementation of the procedure. The consistency and asymptotic sampling distributions of the estimators are established under a new asymptotic paradigm and an assumption weaker than the standard Pitman drift assumption. Simulations validate the asymptotic sampling distributions and demonstrate the importance of accounting for the variations in the parameter estimates due to adventitious error. Two examples are also given as illustrations.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.