Type I Error and Power of Latent Mean Methods and MANOVA in Factorially Invariant and Noninvariant Latent Variable Systems

By G. R. Hancock, F. Lawrence, J. Nevitt. 2000

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Structural equation modeling: strengths, limitations, and misconceptions. (2005, methodology): “For example, both the LGM approaches discussed above and SEM alternatives to the MANOVA (Cole et al. 1993, Hancock et al. 2000, Kano 2001) can be used to compare groups in randomized experiments.”
How to perform and report an impactful analysis using partial least squares: Guidelines for confirmatory and explanatory IS research (2020, background): “To highlight this aspect and to pronounce the difference to the latent variable, we refer to constructs that are composed of indicators emergent variables [20,21].”
Measurement Invariance Testing with Many Groups: A Comparison of Five Approaches (2017, background): “50 is a standardized mean difference that can be interpreted as a moderate effect size (Hancock et al., 2000).”
On Chi-Square Difference and z Tests in Mean and Covariance Structure Analysis when the Base Model is Misspecified (2004, result): “This partially explains the results of Kaplan and George (1995) and Hancock, Lawrence, and Nevitt (2000) regarding the performance of TML in testing factor mean differences when factor pattern coefficients are partially invariant.”