Bayesian Factor Analysis as a Variable-Selection Problem: Alternative Priors and Consequences

Factor analysis is a popular statistical technique for multivariate data analysis. Developments in the structural equation modeling framework have enabled the use of hybrid confirmatory/exploratory approaches in which factor-loading structures can be explored relatively flexibly within a confirmatory factor analysis (CFA) framework. Recently, Muthén & Asparouhov proposed a Bayesian structural equation modeling (BSEM) approach to explore the presence of cross loadings in CFA models. We show that the issue of determining factor-loading patterns may be formulated as a Bayesian variable selection problem in which Muthén and Asparouhov's approach can be regarded as a BSEM approach with ridge regression prior (BSEM-RP). We propose another Bayesian approach, denoted herein as the Bayesian structural equation modeling with spike-and-slab prior (BSEM-SSP), which serves as a one-stage alternative to the BSEM-RP. We review the theoretical advantages and disadvantages of both approaches and compare their empirical performance relative to two modification indices-based approaches and exploratory factor analysis with target rotation. A teacher stress scale data set is used to demonstrate our approach.     

Nesselroade and Molenaar's Measurement Concerns and Proposals: An Introduction

In this special section Nesselroade and Molenaar (N & M) propose a provocative new approach to measurement invariance. When measures are collected repeatedly over time (e.g., daily diary studies), a potentially unique measurement model relating the items to the underlying construct can be created for each individual. If hypothesized causal paths specified between constructs (e.g., frustration → aggression) can be constrained to be equal across the individuals, a model with idiographic measurement of the constructs, but with nomothetic structural relationships can be specified. Three commentaries react to N & M's proposal. Revelle and Wilt challenge the priority given by N & M to unique individual measurement structures, arguing that between subjects differences in structural relationships are empirically important and meaningful. Markus's uses David Hume's framework to raise philosophy of science challenges for N & M's approach. Maydeu-Olivares challenges the incremental validity of N & M's approach, arguing that N & M's approach is unlikely to improve the prediction of between subjects criteria. Finally, N & M present a rejoinder to the three commentaries.     

The two roads of passionate goal pursuit: links with appraisal,coping, and academic achievement

Background and Objectives: In this research, we tested the role of cognitive appraisals in explaining why harmonious and obsessive passion dimensions are related to distinct forms of coping and explored if performance was impacted by these appraisal and coping processes. Design: Undergraduate students (N = 489) participated in a longitudinal study and completed three surveys throughout the course of an academic year. Methods: Participants completed assessments of both passion dimensions (Time 1), reported how they were appraising and coping with the mid-year examination period (Time 2), and provided consent to obtain their final grade in Introductory Psychology (Time 3). The hypothesized model was tested using structural equation modeling. Results: Harmonious and obsessive passion dimensions were linked with approach and avoidant coping responses, respectively. Cognitive appraisals, particularly appraisals of challenge and uncontrollability, played an indirect role in these relationships. In addition, both appraisals and coping responses had an indirect effect in the relationship between passion dimensions and final grade. Conclusions: These results identify cognitive appraisal as a reason why passion dimensions are linked with distinct coping tendencies and demonstrate the role of appraisal and coping processes in the journey to passionate goal attainment.     

Promoting fan engagement: An exploration of the fundamental motives for sport consumption amongst premier league football spectators

The aim of this study was to examine whether fan engagement could be predicted by the motivational dimensions of sport consumption. A sample of 806 football sport fans (African = 85%, male = 67.4%, part of an organised supporters club = 57.6%) were participants. They completed the Fan Engagement Scale (FES), the Motivation Scale for Sport Consumption (MSSC) and a biographical questionnaire. Structural equation modelling was applied to evaluate the postulated regressive paths between the motivational dimensions for sports consumption and fan engagement. The motivational dimensions for sport consumption were clustered into personal and game-related factors. Both these clusters of factors were predictive of fan engagement. Customer engagement (CE) theory appears to explain the findings.     

Hijab in the American workplace: visibility and discrimination

While the initial purpose of this article was to outline online collective action (OCA) towards promoting the rights of hijab-wearing Muslim women in the workplace, it became apparent that there were substantial impediments to this solidarity. Thus, the bulk of it takes up these obstacles, arguing that American hijabis face structural discrimination and Muslims in the United States are subjected to heightened discrimination when they are highly visible to the mainstream culture. This article reviews two cases of workplace discrimination against hijabis and the reactions to these incidents on the Huffington Post, Los Angeles Times, and hijab-oriented blogs. Findings indicate that intolerance of Muslims is prevalent across various political affiliations and apprehension associated with hijabi rights could be related to the perceived decline of white privilege. The analysis also demonstrates that there may be impediments to solidarity with hijabi rights within Muslim communities due to disagreements on the Qur’anic mandate of modesty, divergent perspectives on how Muslims can best promote their rights and ensure their safety, and misunderstandings related to the rights guaranteed under reasonable accommodation. Despite the various obstacles to solidarity with hijabis, the article traces various forms of OCA at local, national and international levels that were encountered on social media platforms.     

Cross‐cultural Generalizability of the Alternative Five‐factor Model Using the Zuckerman–Kuhlman–Aluja Personality Questionnaire

Several personality models are known for being replicable across cultures, such as the Five‐Factor Model (FFM) or Eysenck's Psychoticism–Extraversion–Neuroticism (PEN) model, and are for this reason considered universal. The aim of the current study was to evaluate the cross‐cultural replicability of the recently revised Alternative FFM (AFFM). A total of 15 048 participants from 23 cultures completed the Zuckerman–Kuhlman–Aluja Personality Questionnaire (ZKA‐PQ) aimed at assessing personality according to this revised AFFM. Internal consistencies, gender differences and correlations with age were similar across cultures for all five factors and facet scales. The AFFM structure was very similar across samples and can be considered as highly replicable with total congruence coefficients ranging from .94 to .99. Measurement invariance across cultures was assessed using multi‐group confirmatory factor analyses, and each higher‐order personality factor did reach configural and metric invariance. Scalar invariance was never reached, which implies that culture‐specific norms should be considered. The underlying structure of the ZKA‐PQ replicates well across cultures, suggesting that this questionnaire can be used in a large diversity of cultures and that the AFFM might be as universal as the FFM or the PEN model. This suggests that more research is needed to identify and define an integrative framework underlying these personality models. Copyright © 2016 European Association of Personality Psychology     

Comparing OECD PISA Reading in English to Other Languages: Identifying Potential Sources of Non-Invariance

The use of the Programme for International Student Assessment (PISA) across nations, cultures, and languages has been criticized. The key criticisms point to the linguistic and cultural biases potentially underlying the design of reading comprehension tests, raising doubts about the legitimacy of comparisons across economies. Our research focused on the type and magnitude of invariance or non-invariance in the PISA Reading Comprehension test by language, culture, and economic development relative to performance of the Australian English-speaking reference group used to develop the tests. Multi-Group Confirmatory Factor Analysis based on means and covariance structure (MACS) modeling was used to establish a d_MACS effect size index for each economy for the degree of non-invariance. Only three wealthy, English-speaking countries had scalar invariance with Australia. Moderate or large effects were observed in just 31% of the comparisons. PISA index of economic, social and cultural status had a moderate inverse correlation with dMACS suggesting that socioeconomic resourcing of education played a significant role in measurement invariance, while educational practice and language factors seemed to play a further small role in non-invariance. Alternative approaches to reporting PISA results consistent with non-invariance are suggested.     

Construct validity and construct equivalence of work values across boys and girls

This study investigated the structural validity and construct comparability, across boys and girls, of a newly developed measure of work values. The total sample was split into two equal parts, and based on an item-level factor analysis of the first sub-sample, fit statistics provided support for a six-factor first-order structural model with the following constructs: Power, Money, Tidy environment, Teamwork, Work–Family Balance and Ability Utilization. This structure was confirmed in the second sub-sample, and strict measurement invariance for the measurement model was obtained in this sample. Additionally, the factor variances/covariances were invariant. Five non-invariant latent means were found, with girls scoring higher on the Balance and Personal Challenge values, and boys scoring higher on the Power, Money and Teamwork values.     

词素的结构对称效应:结构对称汉语成语认知特点的进一步研究

运用词素启动作业,进一步考察了结构对称性汉语成语的识别过程.结果发现(1)无论是用成语的前二个字还是后二个字启动,在成语识别过程中都存在明显的词素结构对称效应,即结构对称成语中的词素启动效应明显大于非对称成语中的词素启动效应.(2)成语的结构对称性、熟悉度和启动词素位置之间存在显著的三阶相互作用.简单效应的分析表明无论成语前二个字还是后二个字启动,词素的结构对称效应均只在低熟悉度成语的识别过程中显著;在前二个字启动时,非对称成语的识别还存在熟悉度效应.     

A multitrait-multimethod model with minimal assumptions

A new model of confirmatory factor analysis (CFA) for multitrait-multimethod (MTMM) data sets is presented. It is shown that this model can be defined by only three assumptions in the framework of classical psychometric test theory (CTT). All other properties of the model, particularly the uncorrelated-ness of the trait with the method factors are logical consequences of the definition of the model. In the model proposed there are as many trait factors as different traits considered, but the number of method factors is one fewer than the number of methods included in an MTMM study. The covariance structure implied by this model is derived, and it is shown that this model is identified even under conditions under which other CFA-MTMM models are not. The model is illustrated by two empirical applications. Furthermore, its advantages and limitations are discussed with respect to previously developed CFA models for MTMM data.