Exploratory factor analysis (EFA) and confirmatory factor analysis (CFA), path analysis, and structural equation modeling (SEM) have long histories in clinical research. Although CFA has largely superseded EFA, CFAs of multidimensional constructs typically fail to meet standards of good measurement: goodness of fit, measurement invariance, lack of differential item functioning, and well-differentiated factors in support of discriminant validity. Part of the problem is undue reliance on overly restrictive CFAs in which each item loads on only one factor. Exploratory SEM (ESEM), an overarching integration of the best aspects of CFA/SEM and traditional EFA, provides confirmatory tests of a priori factor structures, relations between latent factors and multigroup/multioccasion tests of full (mean structure) measurement invariance. It incorporates all combinations of CFA factors, ESEM factors, covariates, grouping/multiple-indicator multiple-cause (MIMIC) variables, latent growth, and complex structures that typically have required CFA/SEM. ESEM has broad applicability to clinical studies that are not appropriately addressed either by traditional EFA or CFA/SEM.

(This study examines the directionality of the associations among cognitive assets (IQ, academic achievement), motivational beliefs (academic self-concept, task values), and educational and occupational aspirations over time from late adolescence (Grade 10) into early adulthood (5 years post high school). Participants were from a nationally representative sample of U.S. boys N = 2,213). The results suggest that (a) self-concept and intrinsic value have reciprocal effects with academic achievement and predict educational attainment, (b) self-concept is consistently found to predict occupational aspirations, (c) the associations between achievement and aspirations are partially mediated by motivational beliefs, and (d) academic self-concept in high school had stronger long-term indirect effects on future occupational aspirations and educational attainment than task values and IQ.

One’s self-concept and value perceptions can significantly influence one’s behaviours and beliefs. Australian teachers from urban and rural areas of the state of New South Wales were asked to respond to survey items on two predictors (teacher self-concept, valuing of learning) and three outcomes. Confirmatory factor analysis established the five latent factors. Structural equation modelling found significant paths from teacher self-concept to both student-centred and teacher-centred approaches but not beliefs about student ability. The positive path from valuing of learning to student-centred teaching was statistically significant but the path to teacher-centred teaching was not. The significant path from valuing of learning to beliefs about student ability was negative indicating that teachers who value student learning were less likely to believe in ability constraints. Therefore, teacher preparation programmes should enhance self-concept simultaneously with teaching skills and values and facilitate an advocacy for students’ learning.

Background: Students’ motivation is known to influence academic outcomes. However, there is a paucity of research showing the relative influences of motivational factors on short-term and long-term outcomes. Purpose: The study investigates the relative influences of motivational factors – mastery goal orientation, value of schooling, and academic self-concepts (perceived competence in and affect to schoolwork) on four outcomes – rule acceptance, identity, general self-efficacy and achievement. Sample: Students in grades 3 to 6 from six primary schools in the Sydney were surveyed (N = 979). The ages of the participants varied from 8 to 13 years (mean = 9.78). Design and methods: Students completed a questionnaire and literacy and numeracy achievement tests. Structural equation modelling was used to examine the paths from four predictors to four outcomes. Results: Whereas all four predictors were positively associated with all four outcomes, students’ mastery goal had stronger positive influences on self-efficacy and identity. Value, perceived competence and affect were found to influence outcomes in different ways – positive influences were found for value on achievement, rule-acceptance, and identity; for perceived competence on achievement and efficacy; and for affect on rule-acceptance and identity. Conclusion: Mastery goal had stronger influences on long-term outcomes while other predictors are stronger for short-term outcomes. To facilitate short-term and long-term outcomes, all four motivational factors need attention.