Measures of Multigroup Segregation

In this paper we derive and evaluate measures of multigroup segregation. After describing four ways to conceptualize the measurement of multigroup segregation—as the disproportionality in group (e.g., race) proportions across organizational units (e.g., schools or census tracts), as the strength of association between nominal variables indexing group and organizational unit membership, as the ratio of between–unit diversity to total diversity, and as the weighted average of two–group segregation indices—we derive six multigroup segregation indices: a dissimilarity index (D), a Gini index (G), an information theory index (H), a squared coefficient of variation index (C), a relative diversity index (R), and a normalized exposure index (P). We evaluate these six indices against a set of seven desirable properties of segregation indices. We conclude that the information theory index H is the most conceptually and mathematically satisfactory index, since it alone obeys the principle of transfers in the multigroup case. Moreover, H is the only multigroup index that can be decomposed into a sum of between– and within–group components.     

Every Dot has a Meaning

Family therapy in Australia has recently begun a conversation with the indigenous people of this country. Part of this dialogue has involved family therapists listening to the stories of violence and oppression perpetrated against the Aboriginal people under the name of “protection”. This article is part of the ongoing exchange between family therapists and Kooris documenting the suffering of “the stolen generation”. Here two young people removed from their families as small children and raised in the same Aboriginal children's home, speak personally through their art, of an agonising search for family and cultural identity.     

The effect of 1980s tort reform legislation on general liability and medical malpractice insurance

A large number of states adopted tort reforms in the mid-1980s to limit the dramatic surge in insurance losses and premiums. Evidence based on liability insurance data by state indicates that these reforms substantially influenced general liability insurance. The levels of losses, premiums, and loss ratios (a measure of insurance profitability) all reflected the impact of the reforms. The large-scale reform efforts in 1986 were particularly influential. Medical malpractice insurance was much less sensitive to the reform efforts.     

The gambling lifestyle: I. theory

This paper describes the lifestyle model of gambling behavior in which compulsive gambling behavior is conceptualized as a lifestyle characterized by pseudoresponsibility, self-ascension, hypercompetitiveness, and social rule breaking/bending/ twisting. The underlying premise of this theory is that gambling behavior takes on the appearance of a lifestyle when it is viewed by the individual as a viable means of enhancing self-worth, minimizing personal insecurity, and controlling fear. Three primary areas of theoretical and research interest are covered in this paper: (1) the theoretical underpinnings of lifestyle theory; (2) the individual components (conditions, choice, cognition) of a gambling lifestyle; and (3) the developmental progression of a gambling lifestyle.The author would like to thank Henry Lesieur and anonymous reviewers of earlier versions of this paper for their helpful comments. The assertions and opinions contained herein are the private views of the author and should not be construed as official or as reflecting the views of the Federal Bureau of Prisons or United States Department of Justice.     

Commuting and the rural-urban hierarchy

The purpose of this paper is to consider the relation between commuting and the settlement structure, with particular attention to rural and nonmetropolitan areas. I examined commuting flows between metropolitan central cities, other metropolitan areas, nonmetropolitan places with more than 10,000 people, those with 2500–10000 people, and other rural areas. Despite the deconcentration of population, industry and trade that was especially marked in the 1970s, commuting in 1980 was predominantly toward larger places in the ruralurban hierarchy, and particularly from rural areas and the other metropolitan category to cities. Overall levels of commuting were high, and most were within either nonmetropolitan or metropolitan areas. Smaller nonmetropolitan places particularly had high proportions of both in- and out-commuters. Differences in commuting flows by gender, socioeconomic status and industry were small, but generally in the directions expected on the basis of prior research. The findings reveal a high degree of work-residence interdependence among settlement units in nonmetropolitan America, with social and economic differences in commuting flows representing an important aspect of community structure.     

Treatment issues for survivors of physical and sexual abuse*

Many clients who participate in family therapy have experienced trauma such as physical and sexual abuse in their families of origin. Extensive literature suggests that abusive experiences can result in post-traumatic stress disorders, depression, anxiety, personality disorders, and other long-term effects. Without recognition of the effects that abuse can have on individuals, it is possible to misdiagnose clients or fail to provide them with adequate assistance. This study is an attempt to compare the symptomology of nonabused clients with physically and sexually abused clients using an empirically sound measure. The results demonstrate that the majority of clients who experienced physical and/or sexual abuse in their backgrounds scored in the clinical range on scales from the Millon Clinical Multiaxial Instrument (MCMI) (Millon, 1984). In contrast, clients who did not report abuse had significantly lower scores than the abused clients, and the majority of the nonabused clients scored in the nonclinical range on the scales of the MCMI. Treatment and theoretical implications surrounding the issues of abuse are discussed, and recommendations for marriage and family therapists are provided.     

The Weight Function Lemma for graph pebbling

Graph pebbling is a network model for studying whether or not a given supply of discrete pebbles can satisfy a given demand via pebbling moves. A pebbling move across an edge of a graph takes two pebbles from one endpoint and places one pebble at the other endpoint; the other pebble is lost in transit as a toll. It has been shown that deciding whether a supply can meet a demand on a graph is NP-complete. The pebbling number of a graph is the smallest t such that every supply of t pebbles can satisfy every demand of one pebble byt a vertex. Deciding if the pebbling number is at most k is \(\Pi _2^\mathsf{P}\)-complete. In this paper we develop a tool, called the Weight Function Lemma, for computing upper bounds and sometimes exact values for pebbling numbers with the assistance of linear optimization. With this tool we are able to calculate the pebbling numbers of much larger graphs than in previous algorithms, and much more quickly as well. We also obtain results for many families of graphs, in many cases by hand, with much simpler and remarkably shorter proofs than given in previously existing arguments (certificates typically of size at most the number of vertices times the maximum degree), especially for highly symmetric graphs. Here we apply the Weight Function Lemma to several specific graphs, including the Petersen, Lemke, \(4\mathrm{th}\) weak Bruhat, and Lemke squared, as well as to a number of infinite families of graphs, such as trees, cycles, graph powers of cycles, cubes, and some generalized Petersen and Coxeter graphs. In doing so we partly answer a question of Pachter, et al., by computing the pebbling exponent of cycles to within an asymptotically small range. It is conceivable that this method yields an approximation algorithm for graph pebbling.