Simple proofs of relations between the communality problem and multiple correlation

Solutions of the communality problem and of the problem ofmeaning of common and unique factors have been shown previously to depend intimately on certain relations with ordinary multiple correlation. To make these basic propositions more accessible, simple proofs of some of them are provided here, avoiding any matrix algebra. New results are also obtained, with no extra work, that extend the previously known propositions to a more general class of coefficients than that of communalities.Revised from a paper written while on leave at the Center for Advanced Study in the Behavioral Sciences.     

An algebraic treatment of the barwise compactness theory

A theorem on the extendability of certain subsets of a Boolean algebra to ultrafilters which preserve countably many infinite meets (generalizing Rasiowa-Sikorski) is used to pinpoint the mechanism of the Barwise proof in a way which bypasses the set theoretical elaborations.During the preparation of this work the second author was a postdoctoral visitor at the C. R. M. supported by a National Council of Canada operating grant.     

The four elementary forms of sociality: framework for a unified theory of social relations.

The motivation, planning, production, comprehension, coordination, and evaluation of human social life may be based largely on combinations of 4 psychological models. In communal sharing, people treat all members of a category as equivalent. In authority ranking, people attend to their positions in a linear ordering. In equality matching, people keep track of the imbalances among them. In market pricing, people orient to ratio values. Cultures use different rules to implement the 4 models. In addition to an array of inductive evidence from many cultures and approaches, the theory has been supported by ethnographic field work and 19 experimental studies using 7 different methods testing 6 different cognitive predictions on a wide range of subjects from 5 cultures.     

An outline of a unified theory of the relational self: grounding the self in the manifold of interpersonal relations

Phenomenology and the Cognitive Sciences - The paper outlines a structuralist unification between two existing relational theories of the self, i.e., Beni's Structural Realist theory of the...     

A unified treatment of the weighting problem

A general procedure is described for obtaining weighted linear combinations of variables. This includes as special cases, multiple regression weights, canonical variate analysis, principal components, maximizing composite reliability, canonical factor analysis, and certain other well-known methods. The general procedure is shown to yield certain desirable invariance properties, with respect to transformations of the variables.The author wishes to thank Dr. A. J. Cropley for preparing the necessary computer programs for this study.     

A unified theory of the meaning of some spatial relational terms

This paper presents a unified account of the meaning of the spatial relational terms right, left, in front of, behind, above and below. It claims that each term has three types of meanings, basic, deictic and intrinsic, and that the definitions of each type of meaning are identical in form for all six terms. Restrictions on the use of the terms, which are different for above and below than for the rest, are explained by a general constraint on all uses of spatial relational terms, the framework vertical constraint. This constraint depends on the existence of a fourth type of meaning for above and below, one defined by the framework in which the related objects are located. It is argued that a theory centred on the framework vertical constraint is preferable to one centred on the principle of canonical orientation (Levelt, 1984).     

Syntactic gender processing in the human brain: a review and a model

Despite the increasing number of neuroimaging studies of syntactic gender processing no model is currently available that includes data from visual and auditory language comprehension and language production. This paper provides a systematic review of the neural correlates of syntactic gender processing. Based on anatomical information from cytoarchitectonic probability maps it is argued that the left BA 44 plays a central role for the active use of gender information, e.g., for explicit decisions as well as for subsequent morphological encoding. The left BA 45 is involved in the strategic generation of morphological cues that facilitate gender processing. Model implications for aphasic patients with lesions including or excluding parts of Broca's speech region are discussed.     

On the nature of children's judgments of linguistic features: Semantic relations and grammatical morphemes

Children's judgments of sentences were examined in 3-, 4-, and 5-year-olds in an effort to examine the relationship between children's use of various linguistic features and their judgments of these features in formal tasks. The sentences the children were asked to judge differed on the basis of features acquired gradually during the development of children's linguistic usage. The judgments made by the children did not appear related to the course followed in the acquisition of language usage, a finding that suggests that language acquisition and formal linguistic judgments may reflect different processes.     

Testing some attribution-emotion relations in the People's Republic of China

We conducted a questionnaire study to test the generality of attribution-emotion relations to individuals in the People's Republic of China. Replications of prior findings of studies conducted with American subjects were reported: (a) High effort and success enhanced interpersonal evaluations when ability, effort, and outcome information were provided; (b) affective communications of pity, anger, and guilt were respectively used to infer low ability, lack of effort, and teacher as causes of failure; (c) effort and ability levels were inferred from the presence or absence of anger reactions; and (d) controllable causes of a broken social contract were expected to result in anger from others. Chinese and American respondents also indicated what situations would arouse the affects of anger, guilt, pity, pride, and shame. We found no evidence for the characterization of Chinese as (a) emphasizing effort over ability as a cause of achievement outcomes or (b) de-emphasizing the importance of personal achievement and stressing group goals and accomplishments.     

Experimental analyses of gene-brain-behavior relations: some notes on their application.

The fields of genetics and neuroscience are yielding findings useful in understanding complex behavior-environment relations. We believe that these developments in interdisciplinary basic research are of interest to applied behavior analysts because of the long history of basic findings being used by the readership of the Journal of Applied Behavior Analysis to improve everyday human activities. An awareness of contemporary developments in a range of basic research disciplines may facilitate the systematic replication of those functional relations in applied settings. In this context, we selectively review papers published in the Journal of the Experimental Analysis of Behavior and other basic research journals that relate to gene-brain-behavior relations.     

Validity of the Externalizing Spectrum Inventory in a criminal offender sample: relations with disinhibitory psychopathology, personality, and psychopathic features

The Externalizing Spectrum Inventory (ESI; Krueger, Markon, Patrick, Benning, & Kramer, 2007) provides a self-report based method for indexing a range of correlated problem behaviors and traits in the domain of deficient impulse control. The ESI organizes lower order behaviors and traits of this kind around higher order factors encompassing general disinhibitory proneness, callous-aggression, and substance abuse. In the current study, we used data from a male prisoner sample (N = 235) to evaluate the validity of ESI total and factor scores in relation to external criterion measures consisting of externalizing disorder symptoms (including child and adult antisocial deviance and substance-related problems) assessed via diagnostic interviews, personality traits assessed with self-reports, and psychopathic features as assessed with both interviews and self-reports. Results provide evidence for the validity of the ESI measurement model and point to its potential usefulness as a referent for research on the neurobiological correlates and etiological bases of externalizing proneness.     

Visual learning of statistical relations among nonadjacent features: Evidence for structural encoding

Recent results suggest that observers can learn, unsupervised, the co-occurrence of independent shape features in viewed patterns (e.g., Fiser & Aslin, 2001). A critical question with regard to these findings is whether learning is driven by a structural, rule-based encoding of spatial relations between distinct features or by a pictorial, template-like encoding, in which spatial configurations of features are embedded in a “holistic” fashion. In two experiments, we test whether observers can learn combinations of features when the paired features are separated by an intervening spatial “gap”, in which other, unrelated features can appear. This manipulation both increases task difficulty and makes it less likely that the feature combinations are encoded simply as larger unitary features. Observers exhibited learning consistent with earlier studies, suggesting that unsupervised learning of compositional structure is based on the explicit encoding of spatial relations between separable visual features. More generally, these results provide support for compositional structure in visual representation.