Confirmatory Factor Analysis (CFA), Exploratory Structural Equation Modeling (ESEM), and Set-ESEM: Optimal Balance Between Goodness of Fit and Parsimony.

CFAs of multidimensional constructs often fail to meet standards of good measurement (e.g., goodness-of-fit, measurement invariance, and well-differentiated factors). Exploratory structural equation modeling (ESEM) represents a compromise between exploratory factor analysis' (EFA) flexibility, and CFA/SEM's rigor and parsimony, but lacks parsimony (particularly in large models) and might confound constructs that need to be kept separate. In Set-ESEM, two or more a priori sets of constructs are modeled within a single model such that cross-loadings are permissible within the same set of factors (as in Full-ESEM) but are constrained to be zero for factors in different sets (as in CFA). The different sets can reflect the same set of constructs on multiple occasions, and/or different constructs measured within the same wave. Hence, Set-ESEM that represents a middle-ground between the flexibility of traditional-ESEM (hereafter referred to as Full-ESEM) and the rigor and parsimony of CFA/SEM. Thus, the purposes of this article are to provide an overview tutorial on Set-ESEM, juxtapose it with Full-ESEM, and to illustrate its application with simulated data and diverse "real" data applications with accessible, heuristic explanations of best practice.

School principals' mental health and well-being under threat: A longitudinal analysis of workplace demands, resources, burnout, and well-being.

Schools are critical organisational settings, and school principals face extreme stress levels. However, there are few large-scale, longitudinal studies of demands and resources that drive principals' health and well-being. Using the Job Demands-Resources (JD-R) framework, we evaluated longitudinal reciprocal effects over 3 years relating to job demands, job resources (resilience), job-related outcomes (burnout and job satisfaction), and personal outcomes (happiness and physical health) for a nationally representative sample of 3683 Australian school principals. Prior demands and resources led to small changes in subsequent outcomes, beneficial effects of resources, and adverse effects of demands, particularly for job-related outcomes. Furthermore, we also found reverse-reciprocal effects, prior outcomes (burnout and job satisfaction) influencing subsequent job characteristics. However, in response to substantively and theoretically important research questions, we found no support for Yerkes-Dodson Law (nonlinear effects of demands) or Nietzsche effects and inoculation effects (that which does not kill you, makes you stronger; manageable levels of demands build resilience). Relating our study to new and evolving issues in JD-R research, we offer limitations of our research-and JD-R theory and research more generally-and directions for further research in this essentially unstudied application of JD-R to school principals' mental health and well-being.

Mastery-approach goals: A large-scale cross-cultural analysis of antecedents and consequences.

Mastery-approach (MAP) goals, focusing on developing competence and acquiring task mastery, are posited to be the most optimal, beneficial type of achievement goal for academic and life outcomes. Although there is meta-analytic evidence supporting this finding, such evidence does not allow us to conclude that the extant MAP goal findings generalize across cultures. Meta-analyses have often suffered from overrepresentation of Western, educated, industrialized, rich, and democratic (WEIRD) samples; reliance on bivariate correlations; and lack the ability to directly control individual-level background variables. To address these limitations, this study used nationally representative data from 77 countries/regions (N = 595,444 adolescents) to examine the relations of MAP goals to four antecedents (workmastery, competitiveness, fear of failure, fixed mindset) and 16 consequences (task-specific motivational, achievement-related, and well-being outcomes), and tested the cross-cultural generalizability of these relations. Results showed that MAP goals were: (a) grounded primarily in positive but not negative achievement motives/beliefs; (b) most strongly predictive of well-being outcomes, followed by adaptive motivation; (c) positively but consistently weakly associated with achievement-related outcomes, particularly for academic performance (ß = .069); (d) negatively and weakly associated with maladaptive outcomes; and (e) uniquely predictive of various consequences, controlling for the antecedents and covariates. Further, the MAP goal predictions were generalizable across countries/regions for 13 of 16 consequences. While directions of effect sizes were slightly mixed for academic performance, perceived reading, and PISA test difficulty, the effect sizes were consistently small for most countries/regions. This generalizability points to quite strong cross-cultural support for the observed patterns. (PsycInfo Database Record (c) 2023 APA, all rights reserved).

The Dimensionality of Reading Self-Concept: Examining Its Stability Using Local Structural Equation Models.

For results from large-scale surveys to inform policy and practice appropriately, all participants must interpret and respond to items similarly. While organizers of surveys assessing student outcomes often ensure this for achievement measures, doing so for psychological questionnaires is also critical. We demonstrate this by examining the dimensionality of reading self-concept-a crucial psychological construct for several outcomes-across reading achievement levels. We use Programme for International Student Assessment 2018 data (N = 529,966) and local structural equation models (LSEMs) to do so. Results reveal that reading self-concept dimensions (assessed through reading competence and difficulty) vary across reading achievement levels. Students with low reading achievement show differentiated responses to the two item sets (high competence-high difficulty). In contrast, students with high reading achievement have reconciled responses (high competence-low difficulty). Our results highlight the value of LSEMs in examining factor structure generalizability of constructs in large-scale surveys and call for greater cognitive testing during item development.

Overcoming Limitations in Peer-Victimization Research That Impede Successful Intervention: Challenges and New Directions.

Peer victimization at school is a worldwide problem with profound implications for victims, bullies, and whole-school communities. Yet the 50-year quest to solve the problem has produced mostly disappointing results. A critical examination of current research reveals both pivotal limitations and potential solutions. Solutions include introducing psychometrically sound measures to assess the parallel components of bullying and victimization, analyzing cross-national data sets, and embracing a social-ecological perspective emphasizing the motivation of bullies, importance of bystanders, pro-defending and antibullying attitudes, classroom climate, and a multilevel perspective. These solutions have been integrated into a series of recent interventions. Teachers can be professionally trained to create a highly supportive climate that allows student-bystanders to overcome their otherwise normative tendency to reinforce bullies. Once established, this intervention-enabled classroom climate impedes bully-victim episodes. The take-home message is to work with teachers on how to develop an interpersonally supportive classroom climate at the beginning of the school year to catalyze student-bystanders' volitional internalization of pro-defending and antibullying attitudes and social norms. Recommendations for future research include studying bullying and victimization simultaneously, testing multilevel models, targeting classroom climate and bystander roles as critical intervention outcomes, and integrating school-wide and individual student interventions only after improving social norms and the school climate.

Development in relationship self-concept from high school to university predicts adjustment.

Helping students adjust to university life is a critical developmental issue. Using longitudinal data from 1652 German late adolescents, this research tested the effect of initial high-school parent, same-sex, and opposite sex self-concept and its change on university dropout intentions, study stress, and study satisfaction. High-school self-concept predicted all outcomes. Change across the postschool transition in parent and same self-concept also predicted most outcomes. Change in opposite sex self-concept predicted no outcome. We argue young people's relationship self-beliefs are critical for successful developmental transitions. Consistent with previous research, we argue that parents remain a vital relationship for late adolescents. (PsycInfo Database Record (c) 2020 APA, all rights reserved).

Effects of Physical Activity on the Physical and Psychosocial Health of Youth With Intellectual Disabilities: A Systematic Review and Meta-Analysis.

BACKGROUND: The physical and psychosocial benefits of physical activity for typically developing youth are well established; however, its impact on youth with intellectual disabilities is not as well understood. The aims of this review and meta-analysis were to synthesize the literature and quantify the effects of physical activity on the physical and psychosocial health of youth with intellectual disabilities. METHOD: Studies meeting the inclusion criteria were grouped by their focus on physical health and/or psychosocial health outcomes. Meta-analyses were performed using 3-level, random effects and mixed effects models. RESULTS: One hundred nine studies met the inclusion criteria. Physical activity had a large effect on physical health (g = 0.773, P < .001) and a moderately large effect (g = 0.682, P < .001) on psychosocial health. Participant age, intellectual disability level, other developmental disabilities, outcome type, and intervention type moderated the effects of physical activity on physical health, whereas study design, risk of bias, other developmental disabilities, outcome type, and intervention type were moderators on psychosocial health. CONCLUSIONS: Physical activity has positive effects on the physical and psychosocial health of youth with intellectual disabilities. Although resistance training shows the most physical benefits, teaching movement and sports skills appear to benefit their physical and psychosocial health.

A longitudinal study of teachers' occupational well-being: Applying the job demands-resources model.

The job demands-resources model (JD-R model; Bakker & Demerouti, 2014) is well established in occupational research, and the proposed processes it posits have been replicated numerous times. Thus, the JD-R model provides an excellent framework for explaining the occupational well-being of beginning teachers-an occupation associated with particularly high levels of strain and consequently, high attrition rates. However, the model's assumptions have to date mostly been tested piecewise, and seldom on the basis of longitudinal models. With a series of longitudinal autoregressive SEM models (N = 1,700) we tested all assumptions of the JD-R model simultaneously in one model with an applied focus on beginning teachers. We assessed self-reports of beginning teachers at three time waves: at the beginning and end (one and a half to two years later) of their preservice period, and again, one year later. Results revealed significant direct effects of resources (self-efficacy) on engagement, of demands (classroom disturbances) on strain (emotional exhaustion), and a significant reverse path of engagement on self-efficacy. Additionally, the results showed two moderation effects: Self-efficacy buffered the demands-strain relationship, while self-efficacy also predicted engagement, especially when disturbances were high. Thus, self-efficacy in classroom management plays an important role in the teachers' stress development process, as it will, in case of high classroom disturbances, not only buffer the strain-enhancing effects, but also boost engagement. Commitment was predicted directly by emotional exhaustion and engagement, but indirectly only by self-efficacy (via engagement). Thus, we provide strong empirical support for the JD-R model. (PsycINFO Database Record

What to do when scalar invariance fails: The extended alignment method for multi-group factor analysis comparison of latent means across many groups.

Scalar invariance is an unachievable ideal that in practice can only be approximated; often using potentially questionable approaches such as partial invariance based on a stepwise selection of parameter estimates with large modification indices. Study 1 demonstrates an extension of the power and flexibility of the alignment approach for comparing latent factor means in large-scale studies (30 OECD countries, 8 factors, 44 items, N = 249,840), for which scalar invariance is typically not supported in the traditional confirmatory factor analysis approach to measurement invariance (CFA-MI). Importantly, we introduce an alignment-within-CFA (AwC) approach, transforming alignment from a largely exploratory tool into a confirmatory tool, and enabling analyses that previously have not been possible with alignment (testing the invariance of uniquenesses and factor variances/covariances; multiple-group MIMIC models; contrasts on latent means) and structural equation models more generally. Specifically, it also allowed a comparison of gender differences in a 30-country MIMIC AwC (i.e., a SEM with gender as a covariate) and a 60-group AwC CFA (i.e., 30 countries × 2 genders) analysis. Study 2, a simulation study following up issues raised in Study 1, showed that latent means were more accurately estimated with alignment than with the scalar CFA-MI, and particularly with partial invariance scalar models based on the heavily criticized stepwise selection strategy. In summary, alignment augmented by AwC provides applied researchers from diverse disciplines considerable flexibility to address substantively important issues when the traditional CFA-MI scalar model does not fit the data. (PsycINFO Database Record

An integrated model of academic self-concept development: Academic self-concept, grades, test scores, and tracking over 6 years.

Our newly proposed integrated academic self-concept model integrates 3 major theories of academic self-concept formation and developmental perspectives into a unified conceptual and methodological framework. Relations among math self-concept (MSC), school grades, test scores, and school-level contextual effects over 6 years, from the end of primary school through the first 5 years of secondary school (a representative sample of 3,370 German students, 42 secondary schools, 50% male, M age at grade 5 = 11.75) support the (1) internal/external frame of reference model: Math school grades had positive effects on MSC, but the effects of German grades were negative; (2) reciprocal effects (longitudinal panel) model: MSC was predictive of and predicted by math test scores and school grades; (3) big-fish-little-pond effect: The effects on MSC were negative for school-average achievement based on 4 indicators (primary school grades in math and German, school-track prior to the start of secondary school, math test scores in the first year of secondary school). Results for all 3 theoretical models were consistent across the 5 secondary school years: This supports the prediction of developmental equilibrium. This integration highlights the robustness of support over the potentially volatile early to middle adolescent period; the interconnectedness and complementarity of 3 ASC models; their counterbalancing strengths and weaknesses; and new theoretical, developmental, and substantive implications at their intersections. (PsycINFO Database Record

Validating the Copenhagen Psychosocial Questionnaire (COPSOQ-II) Using Set-ESEM: Identifying Psychosocial Risk Factors in a Sample of School Principals.

School principals world-wide report high levels of strain and attrition resulting in a shortage of qualified principals. It is thus crucial to identify psychosocial risk factors that reflect principals' occupational wellbeing. For this purpose, we used the Copenhagen Psychosocial Questionnaire (COPSOQ-II), a widely used self-report measure covering multiple psychosocial factors identified by leading occupational stress theories. We evaluated the COPSOQ-II regarding factor structure and longitudinal, discriminant, and convergent validity using latent structural equation modeling in a large sample of Australian school principals (N = 2,049). Results reveal that confirmatory factor analysis produced marginally acceptable model fit. A novel approach we call set exploratory structural equation modeling (set-ESEM), where cross-loadings were only allowed within a priori defined sets of factors, fit well, and was more parsimonious than a full ESEM. Further multitrait-multimethod models based on the set-ESEM confirm the importance of a principal's psychosocial risk factors; Stressors and depression were related to demands and ill-being, while confidence and autonomy were related to wellbeing. We also show that working in the private sector was beneficial for showing a low psychosocial risk, while other demographics have little effects. Finally, we identify five latent risk profiles (high risk to no risk) of school principals based on all psychosocial factors. Overall the research presented here closes the theory application gap of a strong multi-dimensional measure of psychosocial risk-factors.

Temporal ordering effects of adolescent depression, relational aggression, and victimization over six waves: Fully latent reciprocal effects models.

The temporal ordering of depression, aggression, and victimization has important implications for theory, policy, and practice. For a representative sample of high school students (Grades 7-10; N = 3,793) who completed the same psychometrically strong, multiitem scales 6 times over a 2-year period, there were reciprocal effects between relational-aggression and relational-victimization factors: aggression led to subsequent victimization and victimization led to subsequent aggression. After controlling for prior depression, aggression, and victimization, depression had a positive effect on subsequent victimization, but victimization had no effect on subsequent depression. Aggression neither affected nor was affected by depression. The results suggest that depression is a selection factor that leads to victimization, but that victimization has little or no effect on subsequent depression beyond what can be explained by the preexisting depression. In support of developmental equilibrium, the results were consistent across the 6 waves. (PsycINFO Database Record