Revisiting the Empirical Distinction Between Hedonic and Eudaimonic Aspects of Well-Being Using Exploratory Structural Equation Modeling

The distinction between hedonic (i.e., subjective well-being) and eudaimonic (i.e., psycho-social functioning) components of well-being is questioned by some researchers on the grounds that these two aspects of well-being are highly correlated. However, I argue that previous research has relied on confirmatory factor analysis (CFA), which is likely to overestimate interfactor correlations, because cross-loadings are constrained to be zero in CFA. In contrast, the new method of exploratory structural equation modeling (ESEM) does not constrain cross-ladings to zero, which results in more accurate factor intercorrelations. The present study used ESEM to reinvestigate the relationship between hedonic and eudaimonic aspects of well-being in a sample of 3986 American adults. The results showed that the ESEM model fitted the data better than the CFA model. As expected, interfactor correlations obtained with ESEM were substantially smaller than those obtained with CFA, indicating greater factor distinctiveness. These results suggest that hedonic and eudaimonic factors are correlated yet largely independent from each other. The results also suggest that ESEM is a more appropriate method than CFA in the study of multi-dimensional constructs, such as mental well-being.     

Factor Structure of Subjective Well-Being in Iran

Subjective well-being is predominantly conceived as having 3 components: life satisfaction, positive affect, and negative affect. This article reports 2 studies that seek to investigate the factor structure of subjective well-being in Iran. One-, two-, and three-factor models of subjective well-being were evaluated using confirmatory factor analysis (CFA) and exploratory structural equation modeling (ESEM). The results of Study 1 (N = 2,197) and Study 2 (N = 207) show that whereas the 1- and 2-factor models do not fit the data well, the 3-factor model provides an adequate fit. These results indicate that the 3 components of subjective well-being constitute 3 interrelated, yet distinct, factors. The analyses demonstrate how traditional CFA and ESEM can be combined to obtain a clear picture of the measurement model of subjective well-being and generate new insights about individual items and cross-loadings needed to derive more parsimonious measures. Nuances relating to the assessment of subjective well-being in more collectivist and Muslim countries are discussed.     

Testing the Factor Structure and Measurement Invariance Across Gender of the Big Five Inventory Through Exploratory Structural Equation Modeling

Confirmatory factor analyses (CFAs) typically fail to support the a priori 5-factor structure of Big Five self-report instruments, due in part to the overly restrictive CFA assumptions. We show that exploratory structural equation modeling (ESEM), an integration of CFA and exploratory factor analysis, overcomes these problems in relation to responses to the 44-item Big Five Inventory (BFI) administered to a large Italian community sample. ESEM fitted the data better and resulted in less correlated factors than CFA, although ESEM and CFA factor scores correlated at near unity with observed raw scores. Tests of gender invariance with a 13-model taxonomy of full measurement invariance showed that the factor structure of the BFI is gender-invariant and that women score higher on Neuroticism, Agreeableness, Extraversion, and Conscientiousness. Through ESEM one could address substantively important issues about BFI psychometric properties that could not be appropriately addressed through traditional approaches.     

Evidence for a Higher-Order ESEM Structure of ADHD in a Sample of Chinese Children

Exploratory structural equation modeling (ESEM) solutions have been proposed to represent the factor structures of attention-deficit/hyperactivity disorder (ADHD) in recent literature, yet no studies have assessed those structures in Chinese children. The primary aim of this study was to comprehensively examine the factor structures of the Chinese version of the ADHD Rating Scale-IV (ADHD RS-IV): Home Version. Data on 458 Chinese children aged 3–8 years (boys: 246; 54%) were used to test and compare eleven factor models: confirmatory factor analysis (CFA) models (one-factor, two-factor and three-factor), second-order CFA model, bifactor CFA models (two and three specific factors), ESEM models (two-factor and three-factor), second-order ESEM model, and bifactor ESEM models (two and three specific factors). The results showed that, overall, ESEM models displayed better fit than CFA models. Specifically, the second-order ESEM model with three first-order factors best represented of the ADHD factor structure in our sample. In addition, measurement invariance testing results showed that scalar invariance was established across gender, age and informant groups. Implications for future research are discussed.

     

Structural validity of the Mental Health Continuum-Short Form: The bifactor model of emotional,social and psychological well-being

The Mental Health Continuum-Short Form (MHC-SF) is a growingly popular questionnaire designed to assess three components of well-being: emotional, social, and psychological. The main goal of the present study was to evaluate the structural validity of the MHC-SF and test the bifactor model of the MHC-SF, which includes one general factor and three specific factors of well-being. Sample 1 consisted of 1095 Serbian students (aged 18–26 years), while Sample 2 included 325 Serbian adults (aged 27–63 years). The bifactor model of the MHC-SF yielded the best fit to the data across the two samples. The results showed that the general factor of well-being accounted for substantially greater amount of variance of the MHC-SF than three specific factors of well-being. After controlling for the general factor, three specific factors explained a small portion of variance in well-being. In addition, the three subscales of the MHC-SF showed low reliability as estimated by omega-subscale coefficients, indicating that these subscales comprise too small amount of reliable variance to interpret. The present findings suggest that researchers should not calculate separate scores for three types of well-being when using the MHC-SF and that alternative measures of specific components of well-being should be considered.     

Measurement invariance of the Mental Health Continuum-Short Form (MHC-SF) across three cultural groups

This study investigated the factorial structure and invariance of the Mental Health Continuum-Short Form (MHC-SF) across cultural groups from three nations, namely, the Netherlands, South Africa, and Iran (N = 1120). The three-dimensional structure of mental well-being was supported in all the groups. The results of measurement invariance testing confirmed the full metric and partial scalar invariance of the MHC-SF. The study also compared the latent means for the aspects of mental well-being in the three cultural groups, and found significant differences. The significance and implications of the results are discussed.     

Psychometric Properties of the Mental Health Continuum-Short Form: A Study of Portuguese Speaking Children/Youths

The development of measures of children and adolescents’ subjective well-being is crucial to the conceptualization and evaluation of positive mental health. The aim of this study was to investigate the factorial structure and invariance of the Mental Health Continuum-Short Form (MHC-SF—adolescents) across children and youths. Participants were from two different samples: 208 elementary school children (sample 1) and 216 middle school youths (sample 2). Results confirmed the three-dimensional structure of subjective well-being in both samples. The three sub-scales of the MHCSF yielded high internal consistency and results from the HTMT85 indicated discriminant validity. Measurement invariance testing across three different age groups (7–8, 9–10 and 11–14 years) confirmed the full metric and approximate scalar invariance of the MHC-SF. Full scalar invariance was achieved across gender. The study also compared the latent means for mental well-being in the three age groups, and found that the younger groups showed significantly higher levels of wellbeing. The present research study strongly suggests that the MHC-SF (adolescents) is an appropriate instrument to measure the positive mental health and well-being of children and pre-adolescents as multidimensional construct.     

The Factor Structure and Measurement Invariance of the Daily Spiritual Experiences Scale

The current study has two main goals: (a) to identify a factor structure of the Daily Spiritual Experiences Scale (DSES) on a large archival data, collected from 1,325 adults in the United States (709 women, 616 men) by the U.S. General Social Survey in 2004 and (b) to examine the measurement invariance of the 16 DSES items between women and men in the same data to see whether any of the items are favoring or biased toward either women or men. The one-factor confirmatory factor analysis (CFA) model fit our data better than the two-factor CFA models because of high correlations between the two factors (r > .90). The fit of the one-factor CFA to our sample data was improved when we specified seven correlated residuals suggested by overlapping item content and large modification indices. The ensuing measurement invariance testing of the one-factor CFA model with seven correlated residuals supported full measurement invariance of factor loadings, thresholds, and residual variances, as well as factor variances between the women and the men. Yet the factor mean for the women was .841 units (Cohen’s d = .496) higher than it was for the men, indicating that higher levels of daily spiritual experiences for women reported in gender comparison studies in the United States are not likely to be an artifact of bias in the questionnaire.     

Construct Validity of the Acquired Capability for Suicide Scale: Factor Structure,Convergent and Discriminant Validity

The Acquired Capability for Suicide Scale (ACSS) assesses one of three main constructs in the Interpersonal Theory of Suicide but evidence of its validity is limited. In two studies (Ns = 287 and 738) validity of the full 20-item ACSS and its shorter versions (ACSS-5, ACSS-8, ACSS-FAD) were examined in terms of factor structure and relation to indices of self-reported suicidal behaviour and self-harm. Confirmatory factor analysis (CFA) failed to show good fit for one-, two-, or three-factor models of the ACSS in its various versions. Exploratory factor analysis of the 20-item scale in the first study pointed instead to a five-factor structure and this was supported using CFA in the second study. In both studies all scale versions showed moderate negative correlations to fear of death and dying, indicating scale validity for the purpose of assessing fearlessness about death. In the second study, a model in which the five factors were indicators of a latent variable of Capability was found to predict a latent variable of Suicidality as indicated by suicidal behaviours, but the prediction was substantially enhanced by the addition of Item 20 to the model. This single item was also found in the first study to better predict suicidal and self-harming behaviour than the full ACSS or any of its short versions.     

Evaluating the Factor Structure of the MIDI Personality Scale Using Exploratory Structural Equation Modeling

This study investigated the factor structure of the 26‐item Midlife Development Inventory (MIDI) Personality Scale in a sample of 2,720 Americans. It was found that whereas confirmatory factor analysis (CFA) did not provide an acceptable fit to the data, exploratory structural equation modeling (ESEM) provided an acceptable fit. The results of ESEM revealed that the a priori five‐factor structure of personality was generally consistent with the data, and all items had salient loadings on their target factors. ESEM also revealed that some of the items contributed significantly to more than one personality factor. The results are in line with previous research, and indicate that ESEM is more suitable than CFA for the study of personality traits.     

Initial validation of the coach-created Empowering and Disempowering Motivational Climate Questionnaire (EDMCQ-C)

This article employs Duda's (2013) hierarchical conceptualization of the coach-created motivational climate to inform the validation of a questionnaire (Empowering and Disempowering Motivational Climate Questionnaire-Coach; EDMCQ-C) that assesses junior athletes' perceptions of the social environmental dimensions proposed by achievement goal theory and self-determination theory. Confirmatory factor analyses (CFA) were initially employed to reduce the number of items required to measure the targeted climate dimensions. A series of competing models were then tested to determine the best representation of the questionnaire's factor structure. The findings revealed that exploratory structural equation modelling (ESEM) provided a better fit of the data to the hypothesised model than CFA solutions. Specifically, the bi-factor ESEM provided the best fit, although parameter estimates suggest that none of the ESEM solutions replicated the underlying theoretical model of the motivational climate proposed by Duda (2013). The evidence from this study suggests that the EDMCQ-C is a promising, parsimonious questionnaire to assess empowering and disempowering facets of the motivational climate albeit the development of the questionnaire remains a work in progress.     

The spiritual well-being questionnaire: Testing for model applicability, measurement and structural equivalencies, and latent mean differences across gender

Fisher (1998) proposed a spiritual well-being model, comprising primary factors for the domains of personal, communal, environmental and transcendental well-being, that cohere to form a single higher order or global spiritual well-being dimension. In line with this model, Gomez and Fisher (2003) published the Spiritual Well-Being Questionnaire (SWBQ), with scales for measuring personal, communal, environmental and transcendental spiritual well-being. This study used multi-group confirmatory factor analysis (CFA) to examine gender equivalencies of the measurement and structural models of the SWBQ, and the latent mean in the four SWBQ factors. A total of 3101 females and 1361 males, with age ranging from 15 to 32 years, completed the SWBQ. The statistical fit results supported the invariance of the measurement model, and some aspects of the structural model. The practical fit indices results provided support for the invariance of both the measurement and structural models. The results also showed little gender differences. Together, these findings support gender equivalencies for the SWBQ.     

Analysis of the factor structure of the Sociocultural Attitudes Towards Appearance Questionnaire (SATAQ-3) in Spanish secondary-school students through exploratory structural equation modeling

The aims of the present study were: (1) to assess the factor structure of the SATAQ-3 in Spanish secondary-school students by means of exploratory factor analysis (EFA), confirmatory factor analysis (CFA) and exploratory structural equation modeling (ESEM) models; and (2) to study its invariance by sex and school grade. ESEM is a technique that has been proposed for the analysis of internal structure that overcomes some of the limitations of EFA and CFA. Participants were 1559 boys and girls in grades seventh to tenth. The results support the four-factor solution of the original version, and reveal that the best fit was obtained with ESEM, excluding Item 20 and with correlated uniqueness between reverse-keyed items. Our version shows invariance by sex and grade. The differences between scores of different groups are in the expected direction, and support the validity of the questionnaire. We recommend a version excluding Item 20 and without reverse-keyed items.     

The big none: No evidence for a general factor of personality in chimpanzees, orangutans, or rhesus macaques

We examined whether a general factor of personality (GFP) was present in chimpanzees, orangutans, or rhesus macaques. We used confirmatory factor analysis (CFA) to model correlations among first-order factors as arising from a GFP. We then conducted principal axis factor analyses (PFA) of the first-order factors to extract a single higher-order factor and then to extract two oblique higher-order factors. The CFA model fit was poor for chimpanzees and orangutans, but not rhesus macaques. The single higher-order factors extracted via PFA did not resemble the GFP in all three species. The oblique higher-order factors extracted via PFA were only weakly correlated in all three species. These results do not support the existence of a GFP in nonhuman primates.     

Multidimensional structure and measurement invariance of school engagement

This study examined the multidimensional structure and measurement invariance of a school engagement instrument using confirmatory factor analysis (CFA), exploratory structural equation modeling (ESEM), bifactor CFA (BCFA), and bifactor ESEM (BESEM). Participants consisted of 1731 students in Grades 9 - 11 from the 4-H Study of Positive Youth Development in the United States. The use of the CFA, ESEM, BCFA, and BESEM models was expected to provide more insight into the cross-loading and hierarchical structures of school engagement. We found empirical evidence to support the (a) tripartite factor structure of school engagement, (b) existence of cross-loadings and hierarchical structures, (c) measurement invariance across gender (male vs female) and race (European American vs African American), and (d) expected latent means differences by gender.     

Factor structure of coping: two studies of mothers with high levels of life stress

Exploratory factor analysis (EFA) and confirmatory factor analysis (CFA) were used to investigate the factor structure of coping in mothers with high levels of life stress. In Study 1, EFA of the Coping Orientation to Problems Experienced (C. S. Carver, M. F. Scheier, & J. K. Weintraub, 1989) in a sample of mothers of full-term or very low birth weight 2-year-old children yielded 7 reliable coping factors. Each factor accounted for significant variance in at least 1 of 6 outcomes measuring maternal-child well-being. In Study 2, CFA was used to cross-validate the EFA model on the basis of the responses of mothers of 2-year-old children with prenatal polysubstance exposure. CFA results revealed a moderately good fit, confirming the factor structure in a 2nd, independent sample of mothers with high levels of life stress.     

The Big Five and adolescent adjustment: An empirical test across six cultures

The current cross-cultural study tested the measurement of the Big Five personality dimensions and the relationships between them and four measures of adjustment and well-being, namely measures of depression, anxiety, well-being, and self-esteem. Anonymous data were collected on 5835 middle and late adolescents from six different cultural contexts, namely China, Czech Republic, Slovenia, Spain, Taiwan, and Turkey. Based on an ESEM approach, which fit the data better than a CFA, configural invariance was found for a 28-item short form of the BFI, suggesting that the Big Five model fit adequately across cultures. Findings from path analyses provided evidence that the Big Five factors explained from an average of 21% of the variance in anxiety to 26% in low well-being, net any effects by background variables. Consistent with some previous work, the study provides new evidence on the links between the Big Five and four measures of adolescent adjustment and well-being across six distinct cultural contexts. It also illustrates some of the inherent challenges of modeling the structure and psychometric properties of the Big Five in a cross-national comparative framework.     

Refining the psychometric properties of the circadian type inventory

The psychometric properties of the 18-item circadian type inventory (CTI) were examined in a non-shiftwork sample. Inter-item correlations for each scale were low to moderate. Confirmatory factor analysis (CFA) via structural equation modelling did not support the posited structure of the CTI. Principal components analysis and reliability analyses suggested the CTI is better represented by 11-items. The revised five item FR scale accounted for 27% of the variance, had stronger factor loadings and increased Cronbach alpha. The psychometric properties of the six item LV scale were marginally improved and explained 21% of the variance. The two-factor 11-item model was supported by CFA. Compared to the 18-item model, the 11-item model showed a marked improvement on several incremental fit indices and achieved a more parsimonious model fit. There was some indication of gender differences but a multi-group CFA indicated model parsimony was best for the invariant model. Gender difference needs to be further examined in large samples using a similar gender balance. It is concluded that the 11-item CTI is psychometrically superior to the original. However, its predictive efficacy needs to be examined in longitudinal studies.     

An empirical investigation of the factor structure of the AUDIT

This study investigated the Alcohol Use Disorders Identification Test's (AUDIT) factor structure and psychometric properties. The factor structure was derived from a sample of 7,035 men and women primary care patients. A principal components analysis identified 2 factors in the AUDIT data and was supported in a confirmatory factor analysis (CFA). The 2 factors were Dependence/Consequences and Alcohol Consumption. The CFA also provided support for a 3-factor model whose factors (Alcohol Consumption, Alcohol Dependence, and Related Consequences) matched those proposed by the AUDIT's developers. Psychometric indexes were determined by use of the baseline and 12-month follow-up data of 301 men and women who entered a clinical trial. The results showed that the 2 factors had good reliability. Validity tests supported the interpretation of what the 2 factors measure, its implications for relationships to other variables, and the comparability of the 2- and 3-factor models.