A NEW CLASS OF MODELS FOR THE DISCRIMINANT PROBLEM

Discriminant analysis is relevant to business decision making in a variety of contexts, such as when one decides to make or buy a specified component, fund a venture project, or hire a particular person. Potential applications in artificial intelligence, particularly in the area of pattern recognition, have further underscored the importance of the field. A recent innovation in discriminant analysis is provided by special linear programming (LP) models, which offer attractive alternatives to classical statistical approaches. The scope of application in which discriminant analysis can be advantageously employed is broadened by the flexibility to tailor parameters in the LP approaches to reflect diverse goals and by the power to explore the sensitivity of these parameters. In spite of the promise of the LP formulations, however, limitations to their effectiveness have been uncovered in certain settings. A recent advance involving a normalization construct removes some of the limitations but entails solving the LP model twice (to allow for different signs of a normalization constant) and does not yield equivalent solutions for different rotations of the problem data. This paper introduces a new model and a new class of normalizations that remedy both remaining limitations, making it possible to take advantage of the modeling capabilities of the LP formulations without the attendant shortcomings encountered by earlier investigations. Our development shows by empirical testing and illustrative analysis that the quality of solutions from LP discriminant approaches is more favorable (relative to the classical model) than previously supposed.     

The contributions of welfare typologies to international social work practices

This paper is concerned with the link between studies of welfare typologies and studies of international social work. Its objective is to show how welfare typologies could be used to strengthen the role of international social work practices to support international exchange of ideas on welfare issues. To meet this objective, three analytical tasks are implemented. The first task is to show that professional imperialism could weaken the potential of international social work practices to promote international exchange of ideas on welfare issues. The second task is to discuss the importance of welfare typologies in supporting the development of international social work by challenging professional imperialism. The third task is to discuss a research project on a defamilization typology. This project provides empirical evidence of the contributions made by welfare typologies to international social work practices.     

The Functional Analysis of Psychological Terms: The Symmetry Problem

The Analysis of Verbal Behavior - Skinner (1945) proposed an empirical research program in which subjective, mentalistic, or psychological terms from ordinary language could be analyzed in terms of...     

Problem-solving communication in foster families and birthfamilies

This study assessed child behavior problems and parent-child communication behaviors during problem solving in three groups of families with adolescent children: foster families, birthfamilies with a child at risk for behavior problems, and birthfamilies with a child not at risk. Levels of positive and negative communication behaviors in the foster families were similar to those in the lower-risk families and were significantly related to foster child behavior problems.     

Governmentality and Lifestyle Studies

In recent years, a research focus on lifestyles has drawn considerable attention from many quarters. Within this area, the influence of several European and continental intellectual currents not widely embraced in American sociology can be detected, some traceable to the work of Michel Foucault. This article will provide a summary and overview of one area of lifestyle sociology that is touched by Foucault's broad influence on the social sciences, particularly his theories on governmentality. Governmentality studies consider the manner in which personal autonomy and self-responsibility is conveyed to individuals as an ongoing life-project. Through the lens of governmentality studies, everyday lifestyle choices of individuals are viewed as elements of larger projects of self-development, implemented by therapeutic discourses of risk management, self-realization, and enhanced personal well-being. After a summary of debates within the sociology of lifestyle informed by governmentality theories, commentary and recommendations will be offered on new directions in governmentality research focusing on subjective well-being or 'happiness' as a feature of contemporary lifestyles and as an object of sociological research. A brief survey of new research comprising the interdisciplinary field of 'happiness studies' suggests a new direction not only for lifestyle research, but for governmentality studies as well.     

The abortion issue and Title VII employment discrimination: The microcosm of the law

This paper presents a discussion of a 1989 United States federal appeals court ruling in the case of Doe v. First National Bank. The case is the first ruling on the federal appellate level involving a claim of Title VII employment discrimination based upon alleged employer knowledge of and animus towards an employee who had undergone an abortion. Doe raises the ethical questions of how a highly charged, national social issue can be reduced to interpersonal dealings between a supervisor and her subordinate in the workplace. The facts of the case are presented in a chronological manner, followed by a discussion of both the court rulings in the case and the utility of employing this case as an excellent tool in the teaching of business ethics and society.     

A lower-bound oracle inequality for a blockwise-shrinkage estimate

Efromovich-Pinsker and Stein blockwise-shrinkage estimates are traditionally studied via upper-bound oracle inequalities, which bound the estimate's risk from above by the oracle's risk plus a remainder term. These bounds allow one to establish sufficient conditions for attaining the oracle's risk. To explore necessary conditions, this article develops a lower-bound oracle inequality, which bounds the estimate's risk from below by the oracle's risk minus a remainder term. In particular, the lower bound implies that thresholds must vanish for attaining the oracle's risk.     

Adaptive Estimation of the Integral of Squared Regression Derivatives

A problem of estimating the integral of a squared regression function and of its squared derivatives has been addressed in a number of papers. For the case of a heteroscedastic model where smoothness of the underlying regression function, the design density, and the variance of errors are known, the asymptotically sharp minimax lower bound and a sharp estimator were found in Pastuchova & Khasminski (1989). However, there are apparently no results on the either rate optimal or sharp optimal adaptive, or data-driven, estimation when neither the degree of regression function smoothness nor design density, scale function and distribution of errors are known. After a brief review of main developments in non-parametric estimation of non-linear functionals, we suggest a simple adaptive estimator for the integral of a squared regression function and its derivatives and prove that it is sharp-optimal whenever the estimated derivative is sufficiently smooth.     

Visual evaluation using microcomputer-based imaging technology

Microcomputer-based imaging technology reestablishes the direct link between evaluation and environmental design by allowing evaluators and urban designers to visually explore and prospectively evaluate alternative simulations of design proposals. This article describes the microcomputer hardware and software used to create simulations and how these simulations are being used in planning education at the author's university. Imaging technology is presented as a useful and promising addition to the existing repertory of evaluation techniques.