Products of modal logics and tensor products of modal algebras

One of natural combinations of Kripke complete modal logics is the product, an operation that has been extensively investigated over the last 15 years. In this paper we consider its analogue for arbitrary modal logics: to this end, we use product-like constructions on general frames and modal algebras. This operation was first introduced by Y. Hasimoto in 2000; however, his paper remained unnoticed until recently. In the present paper we quote some important Hasimoto's results, and reconstruct the product operation in an algebraic setting: the Boolean part of the resulting modal algebra is exactly the tensor product of original algebras (regarded as Boolean rings). Also, we propose a filtration technique for Kripke models based on tensor products and obtain some decidability results.     

The Friends and Family Interview: Measurement invariance across Belgium and Romania

The Friends and Family Interview (FFI; Steele & Steele, 2005 Steele, H. and Steele, M. 2005. The construct of coherence as an indicator of attachment security in middle childhood: The Friends and Family Interview, New York, NY: Guilford Press.  [Google Scholar]), a semi-structured interview assessing attachment representations, is used in the context of an international research project. In the current study, the first step in the validation process of the FFI was to check whether this instrument measures coherence in the same way across countries. Coherence in attachment narratives is a central marker of secure and organized attachment representations in childhood and adulthood. Analysis were conducted on the data from Belgian (n = 35) and Romanian (n = 43) adopted adolescents and revealed that the FFI coherence is similar across the two samples. Correlations between coherence and attachment categories were also computed, confirming the relation between both these variables. Empirical implications of these analyses on the FFI are discussed.     

A checklist for testing measurement invariance

The analysis of measurement invariance of latent constructs is important in research across groups, or across time. By establishing whether factor loadings, intercepts and residual variances are equivalent in a factor model that measures a latent concept, we can assure that comparisons that are made on the latent variable are valid across groups or time. Establishing measurement invariance involves running a set of increasingly constrained structural equation models, and testing whether differences between these models are significant. This paper provides a step-by-step guide to analysing measurement invariance.     

Achievement Emotions Questionnaire-Mathematics (AEQ-M) in adolescents: Factorial structure,measurement invariance and convergent validity with personality

ABSTRACT

The Achievement Emotions Questionnaire-Mathematics (AEQ-M) is a self-report measure of emotions experienced in class, when self-studying, and during tests for the domain of mathematics. Our aim was to present a Portuguese version of this instrument for use with adolescents and to test its reliability, factorial structure, measurement invariance, and construct validity with personality dimensions. Our sample comprised 1,387 Portuguese students from the 7th, 8th and 9th grades (mean age = 13.2 years). Student responses to the AEQ-M were found to be reliable. Confirmatory factor analysis validated a seven-emotion × three-setting factorial structure. This model demonstrated measurement invariance across gender and grade. As a demonstration of construct validity, the emotions measured by the AEQ-M showed a pattern of associations with psychobiological personality dimensions that were in line with theoretical predictions. These results validate the AEQ-M as a suitable instrument for assessing adolescents’ mathematics-related achievement emotions and their associations with personality.     

Categorization behaviour in adults,adolescents, and attention-deficit/hyperactivity disorder adolescents: A comparative investigation

Although significant progress has been made with respect to our understanding of categorization and concept learning behaviour in adults, much less is known about how this key capacity plays out with respect to more restrictive populations. This is unfortunate because much may be revealed about the nature of concept learning by examining the limits exhibited by special populations. With this tenet in mind, in what follows, we investigated key aspects of concept learning in terms of the unexplored comparative performance of three populations—adults, adolescents, and adolescents with attention-deficit/hyperactivity disorder (ADHD). To do so, we employed a novel parainformative experimental task involving categorical stimuli with four objects defined over three dimensions. The learning difficulty ordering for these types of three-dimensional stimuli has proven robust and has been replicated by several researchers. Indeed, in our experiment, we observed the same concept learning ordering in adults and adolescents, but not in ADHD adolescents: For example, the latter group showed greatly impaired categorization performance on stimuli characterized by an “exclusive-or” rule. However, categorization performance on such type of stimuli indicated good reliability in discriminating between adolescents with and without ADHD (receiver-operating characteristic, ROC?=?.82). We accurately predicted and accounted for these results using generalized invariance structure theory (GIST; Vigo, 2013. The GIST of concepts. Cognition, 129, 138–162), which posits that organisms detect invariance patterns in stimuli that are necessary precursors to concept formation.     

Compound invariance implies prospect theory for simple prospects

Behavioral conditions such as compound invariance for risky choice and constant decreasing relative impatience for intertemporal choice have surprising implications for the underlying decision model. They imply a multiplicative separability of outcomes and either probability or time. Hence the underlying model must be prospect theory or discounted utility on the domain of prospects with one nonzero outcome. We indicate implications for richer domains with multiple outcomes, and with both risk and time involved.     

Transformation and invariance in creative translations and analytic interpretations: A Bionian reading of Borges and Cervantes

Bion's basic theory of transformations includes the concept of invariances: those aspects that are kept unchanged in the transformation. Translations are considered transformations that include invariances that allow for the recognition of the transformation. Psychoanalytic interpretations are seen by the author of this paper as a special case of such transformations. From Borges's radically open perspective on translation, psychoanalytic interpretations can be characterized as pertaining to one of three categories: (1) interpretations that change the unfamiliar to the familiar, (2) rigid motion transformations, or (3) interpretations that are transformations towards O. These ideas are dramatized in the reading of two of Borges's fictional stories that present two different approaches to translation, Averroes' search and Pierre Menard, author of the Quixote. These stories exemplify transformations in –K and + K. Finally, Cervantes' intuition of a hybrid language that approaches O and allows for a peaceful and multilayered interpretation of reality (transformation towards O) is discussed.     

The role of rigid motion in newborns' face recognition

The study investigated whether dynamic information promotes newborns' ability to recognize a face. After being habituated to a face undergoing an ordered sequential head rigid motion (Exp. 1), 1- to 3-day-old newborns fully recognized the familiar face shown in the profile pose, as documented by a preference for the profile pose of a novel face. When familiarized to an ordered sequence of different viewpoint static images of a face (Exp. 2), newborns failed to recognize the profile pose of the familiar face, their visual exploration of the familiar and novel faces being at chance. Habituation to a random head rigid motion (Exp. 3) allowed only a partial recognition of face identity, as newborns preferred the profile pose of the familiar, rather than the novel, face. Rigid head motion is an important source of information for newborns' face recognition, probably aiding the derivation of a three-dimensional face structure.     

Social communication fears: Factor analysis and gender invariance of the short-form of the personal report of confidence as a speaker in Spain

Public speaking is a highly prevalent fear that prevents from successful social communication. The Personal Report of Confidence as a Speaker (PRCS) is one of the most commonly used measures to assess people’s fear of public speaking. However, few studies have evaluated its factor structure. In this paper, two studies analyzed the psychometric properties of the short form of the PRCS (Hook, Smith, & Valentiner, 2008) and its convergent validity with the Self Statements During Public Speaking (SSPS) scale in Spain. Study 1 (N = 190) provided information about exploratory factor analysis and internal consistency. Study 2, with a different sample (N = 392), complemented Study 1 with confirmatory factor analysis, internal consistency, convergent validity with SSPS and test of measurement invariance across gender groups. Results of exploratory factor analysis yielded a one factor solution. Different indices of the confirmatory factor analysis (CFI, TLI, SRMR, RMSEA) confirmed a good fit. Internal consistency was high in both studies and convergent validity with SSPS was found. Evidence of configural, metric and scalar invariance across gender groups was obtained. These findings support the use of the short form of the PRCS and suggest that it is a useful instrument for public speaking assessment.     

Does learning behavior augment cognitive ability as an indicator of academic achievement?

Measures of cognitive ability have a rich history of accounting for meaningful levels of achievement variance. In contrast to other student characteristics, however, they are somewhat limited in terms of their intervention relevance and treatment validity. Alternatively, children's observable learning behaviors are believed to enhance both treatment validity and the predictions afforded by cognitive ability. This study examined student learning behaviors in the context of cognitive ability and academic achievement. Three structural models were evaluated on a sample of 1304 students ranging in age from 6 to 17 years. Results supported the unique relationship between learning behavior and academic achievement, beyond cognitive ability. Multi-group structural equation modeling (SEM) analysis revealed that these findings were invariant across groups differing by gender and ethnicity. These findings are consistent with previous observations that children's behavioral features in learning situations will supplement the outcome-oriented standardized tests of cognitive ability.