“…However, there seems to be a conception, among both applied researchers and methodologists, that if one uses factor scores from a partial invariance model, the factor scores will be free of systematic measurement bias and can be validly compared across groups. For example, when Curran and Hussong (2009) proposed the integrative data analysis framework for harmonizing measures from different samples, they recommend researchers to assess measurement invariance across samples, and calculate person scores "by using one of several available factor score estimates in the factor model" (p. 97; see also Curran et al, 2014Curran et al, , 2016Davoudzadeh et al, 2020); subsequent applied research generally follows such a practice of using factor scores after invariance testing (e.g., Luningham et al, 2019;MacDonald & Park, 2022;Zhao et al, 2022). McNeish (2022), on discussing a potential benefit of using factor scores over sum scores, suggested that "it would not make sense to compare sum scores across populations" when invariance is violated, but " [F]actor scoring can address some of these issues" by "allowing partial measurement invariance."…”