Matrix derivatives with chain rule and rules for simple,Hadamard, and Kronecker products

The differential calculus for scalars is used to develop theorems for a calculus of functions of matrices. No appeal to scalar notation is necessary in the resulting calculus, so that the given chain and matrix product rules have wide applicability to matrix theory and models. The chain and product rules of scalar calculus become a special case of the matrix rules. The methods are illustrated by application to a generalized stochastic process model potentially relevant to long- and short-term memory.     

Personality differences between established and less-established male and female creative artists

Past research on personality constructs of creative individuals has focused on men rather than women and has neglected the essentially social aspect of being considered creative. Therefore, personality variables of 60 male and 60 female creative artists were described using the California Psychological Inventory (CPI). Male and female groups were further divided equally into two subgroups reflecting a difference in degree of social acceptance of their work. Relationships between the four groups were explored by multiple discriminant analysis. The major conclusion noted was that creative females tend to be more like their creative male counterparts, in terms of CPI scale variation, than are males and females in general.     

On coalition formation in simple games: A mathematical analysis of Caplow's and Gamson's theories

In this paper, we propose a theory of coalition formation in simple games. The process of coalition formation is modeled as an abstract game. Two solutions of abstract games, the core and the dynamic solution, are used as the predictions of our model. Two classical theories of coalitions in sociology due to Caplow and Gamson are reformulated in a more general and mathematical setting. These theories are then analyzed using the techniques of our theory.     

Police evaluation research: an experimental and cost-benefit analysis of a helicopter patrol in a high crime area

The significance of a helicopter patrol procedure directed toward prevention of home burglaries was evaluated from experimental and cost-benefit perspectives. The helicopter patrolled one city zone from 9 a.m. to 5 p.m. for two 12-day periods. Each 12-day period was separated by a baseline period in which only normal patrol-car levels were maintained. Significantly reduced burglary levels during the intervention periods, compared to baseline periods, documented the experimental significance of the helicopter procedure. The cash costs of implementing the patrol procedure were compared to two estimates of the resulting cash benefits. This latter cost-benefit analysis was supplemented by a discussion of the intangible costs and benefits of the helicopter procedure. Taken together, these analyses documented that the marginal costs of the helicopter intervention were exceeded by all estimates of benefits.     

Behavioral Marriage Therapy: II. Empirical Perspective

Two recent published reviews of research on behavioral marriage therapy stimulated us to supplement these accounts with additional relevant data. First, we place research on behavioral couples therapy in the broader context of outcome research on nonbehavioral marital therapy. We then summarize the results of 23 studies of behavioral couples therapy not included in these previous reviews and conclude that these additional data on controlled and comparative studies do little to enhance the current empirical status of the efficacy of behavioral marriage therapy and in no case do they establish the superiority of social learning approaches. It is concluded that an open mind to all sources of data on the efficacy of marital therapy is needed if the field is to make meaningful advances.