Can Unequal Residual Variances Across Groups Mask Differences in Residual Means in the Common Factor Model?

By Gitta H. Lubke, Conor V. Dolan. 2003

60 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/9acb3c9feba99377dd0aaadba57a6d3ec3077947

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In Computer Networks and Communications

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Citations in the corpus

Measurement Invariance in International Surveys: Categorical Indicators and Fit Measure Performance (2017, background): “Although some scholars advocate for equality of residual variances as a condition for comparing latent means (Deshon, 2004; Lubke & Dolan, 2003), intercept equivalence generally supports cross-group comparisons of manifest (or latent) variable means in the multivariate normal context (Hancock,…”
Assessing the Hypothesis of Measurement Invariance in the Context of Large-Scale International Surveys (2014, background): “…advocate for strict factorial invariance (Meredith, 1993) or equality of residual variances as a condition for comparing latent means (Deshon, 2004; Lubke & Dolan, 2003), scalar invariance generally supports cross-group comparisons of manifest (or latent) variable means on the latent variable of…”
Decoding the Meaning of Factorial Invariance and Updating the Practice of Multi-group Confirmatory Factor Analysis: A Demonstration With TIMSS Data (2007, background): “Not until recently, in support of Meredith’s longneglected argument, Deshon (2004) and Lubke and Dolan (2003) revisited the legitimacy of strict invariance for MI and affirmed the necessity for testing equality in the residual variances, in addition to loadings and intercepts.”
Are intelligence tests measurement invariant over time? Investigating the nature of the Flynn effect (2004, background): “Strict factorial invariance enables one to draw clearer conclusions concerning group differences (Lubke & Dolan, 2003).”
Measurement invariance in confirmatory factor analysis: an illustration using IQ test performance of minorities (2010, background): “Therefore, residual variances should also be equal across groups for measurement invariance to hold (DeShon, 2004; Lubke & Dolan, 2003; Meredith, 1993).”
Barriers to the Success of Ethnic Minority Students in School Psychology Graduate Programs (2012, methodology): “Unequal group sizes can have an impact results in multiple-group standard error of the mean (SEM; Lubke & Dolan, 2003), so we also conducted all of our analyses with a randomly selected subset of the ethnic majority graduate students that was equal in size to the sample of ethnic minority graduate…”
Multiple-Group Invariance with Categorical Outcomes Using Updated Guidelines: An Illustration Using Mplus and the lavaan/semTools Packages (2020, background): “…advocate for strict factorial invariance (Meredith, 1993) or equality of residual variances as a condition for comparing latent means (Deshon, 2004; Lubke & Dolan, 2003), in practice, this level of invariance is rarely pursued given that scalar invariance supports cross-group comparisons of…”
Investigating population heterogeneity with factor mixture models. (2005, background): “Lubke and Dolan (2003) have shown that unrestricted residual variances across subpopulations may leave specific factor mean differences undetected.”
On the relationship between sources of within- and between-group differences and measurement invariance in the common factor model (2003, background): “As mentioned before, group-specific residual variances may be problematic (see also Lubke & Dolan, 2003; Meredith, 1993).”
Performance of Factor Mixture Models as a Function of Model Size, Covariate Effects, and Class-Specific Parameters. (2007, background): “If intercepts , loadings, or residual variances differ across classes, measurement invariance is violated (Lubke & Dolan, 2003; Lubke et al., 2003; Meredith, 1993; Widaman & Reise, 1997).”