Robust Mean and Covariance Structure Analysis Through Iteratively Reweighted Least Squares

Yuan, Ke‐Hai; Bentler, Peter M.

doi:10.1007/bf02294185

Cited by 47 publications

(39 citation statements)

References 47 publications

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“…In this study, conditional models, including predictor variables, for RCADS anxiety and RCADS depression were fit to the data. All models were fit using Mplus version 6 (Muthén and Muthén 2011) using FIML to account for missing data and the Y-B χ 2 to provide corrected standard errors to account for nonnormality and nonindependence of observations due to the longitudinal design (i.e., Yuan and Bentler 2000). The Y-B χ 2 and several fit indices were used to assess overall model fit.…”

Section: Methodsmentioning

confidence: 99%

Developmental Trajectories of Anxiety Symptoms in Early Adolescence: The Influence of Anxiety Sensitivity

Allan

Capron

Lejuez

et al. 2013

J Abnorm Child Psychol

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Children and adolescents seem to suffer from anxiety disorders at rates similar to adults. Interestingly, anxiety symptoms appear to generally decline over time within children as evidenced by lower rates in early and middle adolescence. There is some evidence that there may be heterogeneous subpopulations of adolescent children with different trajectories of anxiety symptoms, including a class of adolescents with elevated levels of anxiety that do not dissipate over time. Anxiety sensitivity has been identified as an important risk factor in the development of anxiety psychopathology. This study prospectively examined the development of anxiety symptoms in a sample of 277 adolescents (Mage=11.52; 44 % female, 56 % male) over a 3 year period including the influence of anxiety sensitivity on this development. Further, this study investigated whether there were distinct classes of adolescents based on their anxiety symptom trajectories and including anxiety sensitivity as a predictor. Consistent with other reports, findings indicated an overall decline in anxiety symptoms over time in the sample. However, three classes of adolescents were found with distinct anxiety symptom trajectories and anxiety sensitivity was an important predictor of class membership. Adolescents with elevated anxiety sensitivity scores were more likely to be classified as having high and increasing anxiety symptoms over time versus having moderate to low and decreasing anxiety symptoms over time. There are important implications for identification of adolescents and children who are at risk for the development of an anxiety disorder.

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Section: Methodsmentioning

confidence: 99%

Developmental Trajectories of Anxiety Symptoms in Early Adolescence: The Influence of Anxiety Sensitivity

Allan

Capron

Lejuez

et al. 2013

J Abnorm Child Psychol

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“…Thus, herein, we apply an iteratively reweighted least squares (IRLS; Yuan & Bentler, 2000) factor analytic methodology to study the latent structure and direction of wording effects in a large, publicly available set of responses to the Rosenberg Self-Esteem Scale (RSES; Rosenberg, 1965). One of the goals of this article is to introduce some key features of IRLS estimation to a broader audience.…”

Section: Present Study: Goals and Motivationsmentioning

confidence: 99%

“…To shed new light on these issues, we ask: (1) for what percentage of individuals is a unidimensional model adequate, (2) what additional percentage of individuals can be modeled with multidimensional specifications, and (3) what percentage of individuals respond so inconsistently that they cannot be well modeled? To estimate these percentages, we applied iteratively reweighted least squares (IRLS; Yuan & Bentler, 2000) to examine the structure of the RSES in a large, publicly available dataset. A distance measure, d s , reflecting a distance between a response pattern and an estimated model, was used for case weighting.…”

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confidence: 99%

Is the Bifactor Model a Better Model or Is It Just Better at Modeling Implausible Responses? Application of Iteratively Reweighted Least Squares to the Rosenberg Self-Esteem Scale

Reise

Kim

Mansolf

et al. 2016

Multivariate Behavioral Research

134

195

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Although the structure of the Rosenberg Self-Esteem Scale (RSES; Rosenberg, 1965) has been exhaustively evaluated, questions regarding dimensionality and direction of wording effects continue to be debated. To shed new light on these issues, we ask: (1) for what percentage of individuals is a unidimensional model adequate, (2) what additional percentage of individuals can be modeled with multidimensional specifications, and (3) what percentage of individuals respond so inconsistently that they cannot be well modeled? To estimate these percentages, we applied iteratively reweighted least squares (IRLS; Yuan & Bentler, 2000) to examine the structure of the RSES in a large, publicly available dataset. A distance measure, ds, reflecting a distance between a response pattern and an estimated model, was used for case weighting. We found that a bifactor model provided the best overall model fit, with one general factor and two wording-related group factors. But, based on dr values, a distance measure based on individual residuals, we concluded that approximately 86% of cases were adequately modeled through a unidimensional structure, and only an additional 3% required a bifactor model. Roughly 11% of cases were judged as “unmodelable” due to their significant residuals in all models considered. Finally, analysis of ds revealed that some, but not all, of the superior fit of the bifactor model is owed to that model’s ability to better accommodate implausible and possibly invalid response patterns, and not necessarily because it better accounts for the effects of direction of wording.

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“…la méthode d'estimation du maximum de vraisemblance, l'option variable catégorielle et l'option Robust ont été utilisées aux fins d'analyse. l'option Robust a été retenue, car certains indicateurs ne respectaient pas l'hypothèse de normalité des données (Yuan & Bentler, 2000). Gaudreau (2011) ont été ajoutés.…”

Section: La Structure Factorielleunclassified

Élaboration de l’Échelle du sentiment d’efficacité personnelle des enseignants en gestion de classe (ÉSEPGC)

Gaudreau

Frénette

Thibodeau

2016

mee

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Cet article présente l’élaboration d’une échelle portant sur le sentiment d’efficacité personnelle des enseignants en gestion de la classe. Développée selon les recommandations de Bandura (2006) et la procédure proposée par Dussault, Valois et Frenette (2007), cette échelle porte sur les cinq dimensions de la gestion de classe suggérées par O’Neill et Stephenson (2011). Lors du prétest, des analyses réalisées à partir du modèle de Rasch (Wright & Masters, 1982) ont permis d’élaborer une version constituée de 28 énoncés. De plus, des analyses factorielles confirmatoires soutiennent le modèle théorique à cinq dimensions. Des résultats similaires sont obtenus auprès d’un échantillon tiré de la population. Les forces et les limites de cette recherche sont discutées eu égard à la littérature.

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Robust Mean and Covariance Structure Analysis Through Iteratively Reweighted Least Squares

Abstract: mean and covariance structures, structural equations, generalized least squares,

Cited by 47 publications

References 47 publications

Developmental Trajectories of Anxiety Symptoms in Early Adolescence: The Influence of Anxiety Sensitivity

Developmental Trajectories of Anxiety Symptoms in Early Adolescence: The Influence of Anxiety Sensitivity

Is the Bifactor Model a Better Model or Is It Just Better at Modeling Implausible Responses? Application of Iteratively Reweighted Least Squares to the Rosenberg Self-Esteem Scale

Élaboration de l’Échelle du sentiment d’efficacité personnelle des enseignants en gestion de classe (ÉSEPGC)

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