2017
DOI: 10.1177/1073191117711020
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The Impact of Partial Factorial Invariance on Cross-Group Comparisons

Abstract: This study explored the impact of partial factorial invariance on cross-group comparisons of latent variables, including latent means, latent variances, structural relations (or correlations) with other constructs, and regression coefficients as predicting external variables. The results indicate that the estimates of factor mean differences are sensitive to violations of invariance on both factor loadings and intercepts. Noninvariant factor loadings were also found to influence the cross-group comparisons of … Show more

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Cited by 44 publications
(46 citation statements)
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“…The results suggest that incorrectly assuming metric invariance holds while estimating moderation effects would lead to biased estimates. The impact is more salient as the number of non-invariant items increases, which is consistent with Guenole and Brown ( 2014 )'s and Shi et al ( 2017 )'s findings with direct effects. On the other hand, fitting models correctly assuming partial metric invariance yielded accurate estimates regardless of samples size, main effects, number of non-invariant items, and the location of the non-invariance occurred.…”
Section: Discussionsupporting
confidence: 85%
“…The results suggest that incorrectly assuming metric invariance holds while estimating moderation effects would lead to biased estimates. The impact is more salient as the number of non-invariant items increases, which is consistent with Guenole and Brown ( 2014 )'s and Shi et al ( 2017 )'s findings with direct effects. On the other hand, fitting models correctly assuming partial metric invariance yielded accurate estimates regardless of samples size, main effects, number of non-invariant items, and the location of the non-invariance occurred.…”
Section: Discussionsupporting
confidence: 85%
“…However, the weak invariance assumption [χ 2 (101) = 336.436, CFI = 0.935, TLI = 0.915, RMSEA = 0.080, SRMR = 0.072], which states that the factor loadings from the items to the general factor are equivalent across groups, did not hold [Δχ 2 (11) = 54.72, p < 0.001]. Provided that not all factor loadings are equivalent across the two groups, we examined which factor loadings are non-invariant by testing partial weak invariance using suggestions and guidelines found in Byrne et al (1989) and Shi et al (2017).…”
Section: Resultsmentioning
confidence: 99%
“…For instance, when metric invariance is observed, it allows for the comparison of unstandardized regression coefficients across groups (Davidov et al, 2014). When only partial invariance is observed in the metric, using standardized regression coefficients removes the risk of bias (Shi et al, 2019).…”
Section: Methodsmentioning
confidence: 99%