Statistical Evaluation of Algebraic Constraints for Social Networks

A multirelational social network on a set of individuals may be represented as a collection of binary relations. Compound relations constructed from this collection represent various labeled paths linking individuals in the network. Since many models of interest for social networks can be formulated in terms of orderings among these labeled paths, we consider the problem of evaluating an hypothesized set of orderings, termed algebraic constraints. Each constraint takes the form of an hypothesized inclusion relation for a pair of labeled paths. In this paper, we establish conditions under which sets of such constraints may be regarded as partial algebras. We describe the structure of constraint sets and show that each corresponds to a subset of consistent relation bundles between pairs of individuals. We thereby construct measures of fit for a given constraint set. Then, we show how, in combination with the assumption of various conditional uniform multigraph distributions, these measures lead to a flexible approach to the evaluation of fit of an hypothesized constraint set. Several applications are presented and some possible extensions of the approach are briefly discussed. Copyright 2000 Academic Press.     

Vowel quality changes produced by surrounding tone sequences

In three experiments, we examined whether energy at the same frequency as one of a vowel's harmonics in the F1 region can be captured by a preceding or following sequence of tones. The position of the /I/-/E/ phoneme boundary along an F1 continuum was used to assess the extent of capture. The first two experiments showed that a sequence of tones at 500 Hz (56-msec duration at 10/sec) can perceptually remove added energy at 500 Hz from a steady vowel (F0 = 125 Hz) that forms part of the sequence. The effect is detectable with one preceding tone, asymptotes with four, and is greater when two tones follow the vowel than when none do. Rising and falling sequences of tones (at 62.5-Hz intervals or at whole-tone intervals) differ in their effect. Falling sequences behave much like constant tones at 500 Hz but with less effect, whereas rising sequences show no evidence of removing the added tone. The second experiment replicated the first and also showed that when the vowel is embedded in a rising or a falling sequence of tones that continue after it, the following tones have no effect. The third experiment suggested that the different effects found with rising versus falling sequences are qualitatively predictable on the basis of the additive effects of their constituent tones rather than by virtue of their contour. The experiments indicated that sequences of repeating tones are much more effective at capturing a harmonic from a vowel than are sequences that follow a simple pattern. This result may reflect the operation of a principle of least commitment in auditory grouping.     

Introduction: The social network paradigm

The social network paradigm is a construct for analysis of social relationships developed in social anthropology. As a concept, however, the social network paradigm has undergone parallel development in several academic and clinical streams of research and practice. Basic research and clinical questions are presented for further exploration in the development of the paradigm.This work was supported in in part by grant #AA03506-01AL from the national Institute of Alcohol Abuse and Alcoholism, awarded to the University of California, Irvine, Department of Psychiatry.     

The analysis of semigroups of multirelational systems

A finite family of binary relations on a finite set, termed here a relational system, generates a finite semigroup under the operation of relational composition. The relationship between simplifications of the semigroup of a relational system in the form of homomorphic images, and simplifications of the relational system itself is examined. First of all, the list of relational conditions establishing a relationship between a homomorphic image of the semigroup of a relational system and a simplified, or derived, version of that relational system, is reviewed and extended. Then a definition of empirical relationship is introduced (the Correspondence Definition) and it is shown how, in conjunction with a factorization procedure for finite semigroups (P. E. Pattison & W. K. Bartlett, Journal of Mathematical Psychology, 1982, in press), it leads to a systematic and efficient analysis for a relational system. Applications of the procedure to an empirical blockmodel and to a class of simple relational systems are presented.     

Proposal for a Distinctive Diagnosis: the Deliberate Self-Harm Syndrome (DSH)

ABSTRACT: Self-destructive behavior is a major clinical problem in psychiatry. A review of the literature reveals the existence of enough clinical data to identify a diagnostic entity, “The Deliberate Self-Harm Syndrome” (DSH). The authors present a diagnostic formulation of the DSH syndrome (in the DSM-III format) which consists of four essential clinical features, a group bof associteds features, clinical features, a group of associated features, a clinical course of typical onset in late adolescence, with multiple recurent episodes, with multiple methods of low lethality physical self-injury, extending over many years. On the basis of relatively exclusive association of clinical signs and symptoms a heuristic clinical entity is proposed.     

Psychiatry and religion circa 1978: Analysis of a decade,part I

Prior tensions between science and religion have dissolved and coalesced into new alliances based on ideology and philosophy. This general cultural pattern is reflected in the realignment of interests and interactions between psychiatry and religion. There are increasing numbers of mental health professionals with devout religious commitments and involvement in religiously oriented mental health activities; while clergy have developed new organizational structures to reflect many diverse mental health interests, including pastoral counseling, community mental health chaplains, hospital chaplains, and expanded parish ministries. Clinical and research literature has continued to rapidly proliferate, while a unique genre of pastoral care and counseling literature has emerged. A decade ago there was hope for an amicable alliance between specialists in psychiatry and in religion. That irenic quest has shifted into overlapping goals and roles, with tensions between those engaged in universalistic norms and those seeking to develop particularistic norms.Dr. Pattison is Professor of Psychiatry and Human Behavior, Social Science, Social Ecology; Acting Chairman, Department of Psychiatry and Human Behavior, University of California, Irvine; Deputy Director, Training, Consultation, Education Division, Orange County Department of Mental Health. His address is UCI Medical Center, 101 So. The City Dr., Orange, Ca. 92668. Part II of this article will be published inPastoral Psychology, Volume 27, No. 2.     

Management of religious issues in family therapy

Social scientists have long emphasized the reciprocal relationship between family and religion in society. Yet the family therapy literature is virtually devoid of consideration of religious variables in family life and function. Four major psychosocial aspects of religion in family life are discussed: sacralization, coalitions with the supernatural, religious conflict as a projection of family conflict, and family conflict as a projection of religious conflict. Clinical issues presented include: family therapy in religious and secular contexts, family religious expectations and transference, therapist religious countertransferences, religious identification in family therapy, and family therapy in different degrees of congruence or difference in religious orientation between the family and the therapist. The family therapist must learn how to correctly interpret and appropriately respond to religious issues as they appear in family life and family therapy.