Latent variables should remain as such: Evidence from a Monte Carlo study

Use of subject scores as manifest variables to assess the relationship between latent variables produces attenuated estimates. This has been demonstrated for raw scores from classical test theory (CTT) and factor scores derived from factor analysis. Conclusions on scores have not been sufficiently extended to item response theory (IRT) theta estimates, which are still recommended for estimation of relationships between latent variables. This is because IRT estimates appear to have preferable properties compared to CTT, while structural equation modeling (SEM) is often advised as an alternative to scores for estimation of the relationship between latent variables. The present research evaluates the consequences of using subject scores as manifest variables in regression models to test the relationship between latent variables. Raw scores and three methods for obtaining theta estimates were used and compared to latent variable SEM modeling. A Monte Carlo study was designed by manipulating sample size, number of items, type of test, and magnitude of the correlation between latent variables. Results show that, despite the advantage of IRT models in other areas, estimates of the relationship between latent variables are always more accurate when SEM models are used. Recommendations are offered for applied researchers.     

Factorial validity of the Mental Toughness Questionnaire-48

The purpose of this study was to assess the factorial validity of the Mental Toughness Questionnaire-48 (Clough, Earle, & Sewell, 2002). In total, 8207 participants (male n = 4019, female n = 3922, unspecified = 266) aged between 16 and 68 years (M = 37.00, SD = 12.09) completed the MTQ48. Model fit was assessed using confirmatory factor analysis (CFA) and exploratory structural equation modeling, in addition to the robust maximum likelihood estimator. Overall, our results support the factorial validity of the MTQ48 and indicate that the MTQ48 is a robust psychometric measure of mental toughness. Along with previous data, which supports the internal validity of the MTQ48 in addition to results of this study, it would appear that the MTQ48 is an acceptable method of assessing mental toughness.     

Dynamic Regulation Responding to an External Stimulus: A Differential Equation Model

This study examines the dynamic regulation process responding to an external stimulus. The damped oscillator model has been used to describe this process. However, the model does not allow a nonzero steady state, even though the oscillations may continue and do not necessarily damp toward zero. This study introduces the driven damped oscillator model which has an additional parameter to identify different patterns of the steady state. Three methods, generalized local linear approximation, continuous time structural equation modeling, and analytic solutions of differential equations are provided to estimate model parameters. A simulation study indicates that parameters in the driven damped oscillator model are well recovered. The model is then illustrated using a data set on the daily reports of sales after a sale promotion. Potential applications and possible expansions of this model are also discussed.     

Modeling Interactions Between Latent Variables in Research on Type D Personality: A Monte Carlo Simulation and Clinical Study of Depression and Anxiety

Several approaches exist to model interactions between latent variables. However, it is unclear how these perform when item scores are skewed and ordinal. Research on Type D personality serves as a good case study for that matter. In Study 1, we fitted a multivariate interaction model to predict depression and anxiety with Type D personality, operationalized as an interaction between its two subcomponents negative affectivity (NA) and social inhibition (SI). We constructed this interaction according to four approaches: (1) sum score product; (2) single product indicator; (3) matched product indicators; and (4) latent moderated structural equations (LMS). In Study 2, we compared these interaction models in a simulation study by assessing for each method the bias and precision of the estimated interaction effect under varying conditions. In Study 1, all methods showed a significant Type D effect on both depression and anxiety, although this effect diminished after including the NA and SI quadratic effects. Study 2 showed that the LMS approach performed best with respect to minimizing bias and maximizing power, even when item scores were ordinal and skewed. However, when latent traits were skewed LMS resulted in more false-positive conclusions, while the Matched PI approach adequately controlled the false-positive rate.     

Evaluating Structural Equation Models for Categorical Outcomes: A New Test Statistic and a Practical Challenge of Interpretation

This research is concerned with two topics in assessing model fit for categorical data analysis. The first topic involves the application of a limited-information overall test, introduced in the item response theory literature, to structural equation modeling (SEM) of categorical outcome variables. Most popular SEM test statistics assess how well the model reproduces estimated polychoric correlations. In contrast, limited-information test statistics assess how well the underlying categorical data are reproduced. Here, the recently introduced C₂ statistic of Cai and Monroe (2014) is applied. The second topic concerns how the root mean square error of approximation (RMSEA) fit index can be affected by the number of categories in the outcome variable. This relationship creates challenges for interpreting RMSEA. While the two topics initially appear unrelated, they may conveniently be studied in tandem since RMSEA is based on an overall test statistic, such as C₂. The results are illustrated with an empirical application to data from a large-scale educational survey.     

Perceived behavioural control,subjective norms,attitudes and intention to use condom: A longitudinal cross-lagged design

Based on the Theory of Planned Behaviour (TPB), the purpose of this investigation was to examine the directionality of the association among condom use, intention, attitudes, subjective norms and perceived behavioural control. The present study investigated the nature of these relationships using a longitudinal cross-lagged design applied to data from a cohort of 958 randomly selected Italian adults. Using structural equation modelling, two cross-lagged panel analyses revealed reciprocal relationships between intention and attitudes and between intention and condom use. Contrary to expectations, baseline subjective norms and perceived behavioural control did not predict subsequent intention to use condom when controlled for the autoregressive effect of intention at T1 on the same variable at T2. Also, perceived behavioural control at T1 did not influence condom use at T2 after controlling for the effect of baseline intention. The possibility of reciprocity was also tested for all relations and significant results were found. The moderation effect of perceived behavioural control on the relationship between intention and condom use was not significant. The differences in age, gender and partnership status were taken into account in the analyses.     

Perfectionism and health: A mediational analysis of the roles of stress,social support and health-related behaviours

This study tested a model derived from personality theory in which perceived stress, perceived social support, health-risk and health-promotion behaviours mediate the relationship between perfectionism and perceived physical health. A sample of 538 undergraduate students completed a web-based survey assessing multi-dimensional perfectionism, perceived stress, perceived social support, health behaviours, physical health and a scale tapping elements of the five-factor model of personality. Analyses that account for the effects of traits from the five-factor model (e.g., neuroticism, conscientiousness and extraversion) indicated that socially prescribed perfectionism was associated with poorer physical health and this association was fully mediated by higher levels of perceived stress and lower levels of perceived social support. Self-oriented perfectionism was related complexly to health such that it was related to poorer health via higher levels of perceived stress, but was also related to better health via higher levels of perceived social support. Our findings illustrate the need for considering key mediators of the link between perfectionism and poor health outcomes.     

Occupational well-being as a mediator between job insecurity and turnover intention: Findings at the individual and work department levels

This study examined the relationship between job insecurity and turnover intention by applying occupational well-being (exhaustion, vigour) as a mediator. The study was inspired by two theories: the conservation of resources and emotional contagion theories. We investigated the relationships at the individual and work department levels by utilizing Multi-Level Structural Equation Modeling (ML-SEM) with the aim of clarifying whether the mediating mechanism was similar at both levels. In addition, we examined the relationships across the levels (cross-level interactions). Self-report data for the study were obtained from Finnish University staff (N = 2137 individual respondents from 78 work departments). The analyses resulted in three main findings. First, job insecurity, turnover intention, and occupational well-being were found, to some extent (2–6%), to be shared experiences within work departments. Second, we found that low occupational well-being (high exhaustion, low vigour) partly mediated the relationship between job insecurity and turnover intention at both levels of analysis. Third, the results on cross-level interactions revealed that the lower the level of well-being at the work department level, the stronger the negative effect of job insecurity on well-being at the individual level. Thus, if poor well-being characterizes the work department, this may strengthen the negative relationship between job insecurity and well-being at the individual level.     

Investigating the relationship between employability and self-efficacy: A cross-lagged analysis

The construct of employability has been conceptually related to self-efficacy in different ways. Employability has sometimes been regarded as an equivalent to self-efficacy, or as a distinct but related phenomenon. Since the relationship between the two phenomena has not been subjected to empirical scrutiny, the aim of the present study is to analyze whether self-efficacy and employability are two distinct but related constructs, and if they are, to investigate the direction of their relationship. The data (N = 1730) were collected through a two-wave longitudinal survey with one year between each data collection (2005 and 2006). The results of confirmatory factor analysis showed that the measures of employability and self-efficacy were distinct from one another, within and over measurement points, indicating that these are related but separate constructs. The results of latent variable cross-lagged analysis showed that employability predicted subsequent self-efficacy, even after controlling for age, gender, educational level, and regional differences. Thus, employability is not an expression of efficacy beliefs, but rather, the strengthening of employability perceptions may have beneficial effects on more general efficacy beliefs.