Re-Applying the Basic Psychological Needs in Exercise Scale to Various Portuguese Exercise Groups: An Analysis of Bifactor Models and Contextual Invariance

Bifactor exploratory structural equation modeling: A meta-analytic review of model fit

Multivariate behavioral research often focuses on latent constructs—such as motivation, self-concept, or wellbeing—that cannot be directly observed. Typically, these latent constructs are measured with items in standardized instruments. To test the factorial structure and multidimensionality of latent constructs in educational and psychological research, Morin et al. (2016a) proposed bifactor exploratory structural equation modeling (B-ESEM). This meta-analytic review (158 studies, k = 308, N = 778,624) aimed to estimate the extent to which B-ESEM model fit differs from other model representations, including confirmatory factor analysis (CFA), exploratory structural equation modeling (ESEM), hierarchical CFA, hierarchical ESEM, and bifactor-CFA. The study domains included learning and instruction, motivation and emotion, self and identity, depression and wellbeing, and interpersonal relations. The meta-analyzed fit indices were the χ²/df ratio, the comparative fit index (CFI), the Tucker-Lewis index (TLI), the root mean square error of approximation (RMSEA), and the standardized root mean squared residual (SRMR). The findings of this meta-analytic review indicate that the B-ESEM model fit is superior to the fit of reference models. Furthermore, the results suggest that model fit is sensitive to sample size, item number, and the number of specific and general factors in a model.

Adaptation and Validation of a Portuguese Version of the Sports Motivation Scale-II (SMS-II-P) Showing Invariance for Gender and Sport Type

In the present cross-sectional study, we adapted and examined the validity of a Portuguese version of the Sport Motivation Scale II (SMS-II-P) within a sample of 1148 Portuguese athletes (women = 546, men = 602) with a mean age of 18.45 years (SD = 5.36), participating in a variety of sports (i.e., football, basketball, swimming, and athletics). We conducted confirmatory factor analysis, convergent and discriminant validity analysis, and multigroup analysis across participants' sport type (team and individual) and gender. We also examined the correlations between the SMS-II-P behavioral regulations and basic psychological needs satisfaction. The results supported that the SMS-II-P had good psychometric properties and was invariant across gender and sport type. The scale demonstrated good convergent and discriminant validity, and the subscales achieved adequate internal consistency. Correlations between the six types of regulation measured in the SMS-II supported the distinction between autonomous and controlled behavioral regulations, and the correlations between these subscales and other measures of autonomy, competence, and relatedness satisfaction provided evidence of the self-determination continuum. Implications of this research for assessing Portuguese athletes and conducting future research are discussed.