Model comparison of nonlinear structural equation models with fixed covariates

Recently, it has been recognized that the commonly used linear structural equation model is inadequate to deal with some complicated substantive theory. A new nonlinear structural equation model with fixed covariates is proposed in this article. A procedure, which utilizes the powerful path sampling for computing the Bayes factor, is developed for model comparison. In the implementation, the required random observations are simulated via a hybrid algorithm that combines the Gibbs sampler and the Metropolis-Hastings algorithm. It is shown that the proposed procedure is efficient and flexible; and it produces Bayesian estimates of the parameters, latent variables, and their highest posterior density intervals as by-products. Empirical performances of the proposed procedure such as sensitivity to prior inputs are illustrated by a simulation study and a real example.This research is fully supported by a grant from the Research Grant Council of the Hong Kong Special Administrative Region, China (Project No. CUHK 4346/01H). The authors are thankful to the Editor, the Associate Editor, and anonymous reviewers for valuable comments which improve the paper significantly, and grateful to ICPSR and the relevant funding agency for allowing use of the data in the example. The assistance of Michael K.H. Leung and Esther L.S. Tam is gratefully acknowledged.     

Cognitive processing in literate and illiterate subjects: a review of some recent behavioral and functional neuroimaging data

The study of illiterate subjects, which for specific socio-cultural reasons did not have the opportunity to acquire basic reading and writing skills, represents one approach to study the interaction between neurobiological and cultural factors in cognitive development and the functional organization of the human brain. In addition the naturally occurring illiteracy may serve as a model for studying the influence of alphabetic orthography on auditory-verbal language. In this paper we have reviewed some recent behavioral and functional neuroimaging data indicating that learning an alphabetic written language modulates the auditory-verbal language system in a non-trivial way and provided support for the hypothesis that the functional architecture of the brain is modulated by literacy. We have also indicated that the effects of literacy and formal schooling is not limited to language related skills but appears to affect also other cognitive domains. In particular, we indicate that formal schooling influences 2D but not 3D visual naming skills. We have also pointed to the importance of using ecologically relevant tasks when comparing literate and illiterate subjects. We also demonstrate the applicability of a network approach in elucidating differences in the functional organization of the brain between groups. The strength of such an approach is the ability to study patterns of interactions between functionally specialized brain regions and the possibility to compare such patterns of brain interactions between groups or functional states. This complements the more commonly used activation approach to functional neuroimaging data, which characterize functionally specialized regions, and provides important data characterizing the functional interactions between these regions.     

The Logic of Instance Ontology

An ontology's theory of ontic predication has implications for the concomitant predicate logic. Remarkable in its analytic power for both ontology and logic is the here developed Particularized Predicate Logic (PPL), the logic inherent in the realist version of the doctrine of unit or individuated predicates. PPL, as axiomatized and proven consistent below, is a three-sorted impredicative intensional logic with identity, having variables ranging over individuals x, intensions R, and instances of intensions Ri. The power of PPL is illustrated by its clarification of the self-referential nature of impredicative definitions and its distinguishing between legitimate and illegitimate forms. With a well-motivated refinement on the axiom of comprehension, PPL is, in effect, a higher-order logic without a forced stratification of predicates into types or the use of other ad hoc restrictions. The Russell–Priest characterization of the classic self-referential paradoxes is used to show how PPL diagnosis and solves these antimonies. A direct application of PPL is made to Grelling's Paradox. Also shown is how PPL can distinguish between identity and indiscernibility.     

Childhood Peer Relationship Problems and Young People's Involvement with Deviant Peers in Adolescence

Using prospective longitudinal data from the Christchurch Health and Development Study, this article examined the relationship between children's peer relationship problems in middle childhood and their subsequent risk of forming deviant peer affiliations in adolescence. The analysis proceeded in three steps. First, a structural equation model demonstrated a moderate association between early peer relationship problems and later deviant peer affiliations (r = .27). Second, the model was extended to include a latent variable measure of early conduct problems. This analysis revealed that when the confounding effects of concurrently measured conduct problems were taken into account, peer relationship problems in middle childhood were no longer significantly related to young people's choice of deviant peers in adolescence. Third, the model was further extended to include lagged variables, permitting an examination of possible reciprocal relationships between early conduct problems and peer relationship problems. Results suggested that both early peer relationship problems and adolescent deviant peer involvement are symptomatic of early child behavioral adjustment. The implications of these findings for explanations of deviant peer selection are discussed.     

The Image of God of Neurotheology: Reflections of Culturally Based Religious Commitments or Evolutionarily Based Neuroscientific Theories?

In Augustinian fashion, James B. Ashbrook and Carol Rausch Albright develop a neurotheology that finds evolutionarily based correlations between the functions of the human mind-brain and the roles God plays in human life. I argue that their assumptions of anthropomorphism , that the human mind-brain must conceptualize its environment in human terms, and realism , that anthropomorphism is correct, are evolutionarily unlikely. I conclude that the image of God ( imago dei ) the authors find reflected in the human mind-brain appears to derive from their Christian religious commitments rather than from evolutionary theory.     

Bayesian estimation and testing of structural equation models

The Gibbs sampler can be used to obtain samples of arbitrary size from the posterior distribution over the parameters of a structural equation model (SEM) given covariance data and a prior distribution over the parameters. Point estimates, standard deviations and interval estimates for the parameters can be computed from these samples. If the prior distribution over the parameters is uninformative, the posterior is proportional to the likelihood, and asymptotically the inferences based on the Gibbs sample are the same as those based on the maximum likelihood solution, for example, output from LISREL or EQS. In small samples, however, the likelihood surface is not Gaussian and in some cases contains local maxima. Nevertheless, the Gibbs sample comes from the correct posterior distribution over the parameters regardless of the sample size and the shape of the likelihood surface. With an informative prior distribution over the parameters, the posterior can be used to make inferences about the parameters underidentified models, as we illustrate on a simple errors-in-variables model.We thank David Spiegelhalter for suggesting applying the Gibbs sampler to structural equation models to the first author at a 1994 workshop in Wiesbaden. We thank Ulf Böckenholt, Chris Meek, Marijtje van Duijn, Clark Glymour, Ivo Molenaar, Steve Klepper, Thomas Richardson, Teddy Seidenfeld, and Tom Snijders for helpful discussions, mathematical advice, and critiques of earlier drafts of this paper.     

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.     

An all‐or‐nothing thinking turns into darkness: Relations between dichotomous thinking and personality disorders1

Dichotomous thinking is an individual's propensity to think in terms of binary opposition. While this thinking style may be useful for quick decision‐making, some clinical psychologists have indicated that such a style is related to personality disorders. Oshio (2009 ) revealed that the Dichotomous Thinking Inventory (DTI) has significant positive correlations with borderline personality and narcissism. This study examines whether dichotomous thinking is associated with cluster A, B, and C personality disorders. The participants comprised 152 Japanese undergraduates (84 male and 68 female). They completed the DTI and Ten Personality Styles scale (10 PesT; Nakazawa (2006 )), developed from the definitions of personality disorders in the DSM‐IV. Structural equation modeling supported the hierarchical factor structure of personality disorders. The dichotomous thinking effects “cluster” level of disorders more than other levels. The results indicated that thinking dichotomously may lead to wide‐ranging personality disorders.