Invariance in Measurement and Prediction Revisited

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Testing for Factorial Invariance in the Context of Construct Validation (2010, methodology): “…can be based, ideally, on sound theoretical considerations or recently developed procedures for selecting RIs (e.g., Rensvold & Cheung, 2001; Yoon & Millsap, 2007); the computations in the procedure proposed by Yoon and Millsap (2007) are less complicated than those in the procedure proposed by…”
Correcting for Test Score Measurement Error in ANCOVA Models for Estimating Treatment Effects (2014, background): “Culpepper and Aguinis (2011) and Millsap (2007) provide expressions for bias in group differences when ME is ignored.”
Educational Measurement (4th ed.) (2009, background): “…appear to have been missed entirely by the educational testing field (e.g., the issue of prediction vs. measurement invariance as discussed in Millsap, 1997, 2007; the distinction between reflective and formative models as discussed in Bollen & Lennox, 1991; Edwards & Bagozzi, 2000; Howell,…”
A Direct Comparison Approach for Testing Measurement Invariance (2012, methodology): “Nevertheless, it should be noted that the MI method tends to have high Type I error and inadequate power (Yoon & Millsap, 2007).”