Testing for Measurement and Structural Equivalence in Large-Scale Cross-Cultural Studies: Addressing the Issue of Nonequivalence

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The mediating role of place attachment between nature connectedness and human well-being: perspectives from Japan (2019, background): “As Chi-square is sensitive to large sample size and nearly always reject the model when large samples are used (Byrne and Vijver 2010), other fit indices were included in the study.”
Cross-cultural comparability of noncognitive constructs in TIMSS and PISA (2018, background): “…with multiple cultures is understandable; however, we can either lower the strictness in parameter constraints to seek partial invariance (Byrne & van de Vijver, 2010) or approximate invariance (Asparouhov & Muthén, 2014; Muthén & Asparouhov, 2012) to tolerate trivial…”
Reciprocal effects of psychological contract breach on counterproductive and organizational citizenship behaviors: The role of time (2018, unknown): “…score for each PC breach dimension (i.e., transactional, relational, ideological, or any combination of the aforementioned) and used this composite score to test for potential differential effects on the outcomes under study; testing for multi-group equivalence (Byrne & van de Vijver, 2010).”
Motivation and coping with the stress of assessment: Gender differences in outcomes for university students (2017, methodology): “Model 1: The models were tested using one single group to validate the structural relationship between the variables (Byrne, 1994, 2012; Byrne & van de Vijver, 2010).”