The ℓ1 oblique procrustes problem

In this paper, we reconsider the well-known oblique Procrustes problem where the usual least-squares objective function is replaced by a more robust discrepancy measure, based on the ₁ norm or smooth approximations of it.We propose two approaches to the solution of this problem. One approach is based on convex analysis and uses the structure of the problem to permit a solution to the ₁ norm problem. An alternative approach is to smooth the problem by working with smooth approximations to the ₁ norm, and this leads to a solution process based on the solution of ordinary differential equations on manifolds. The general weighted Procrustes problem (both orthogonal and oblique) can also be solved by the latter approach. Numerical examples to illustrate the algorithms which have been developed are reported and analyzed.     

Inferences concerning interpersonal choices given anonymously

It may be difficult or impossible to make a reliable empirical investigation of an unknown network of interpersonal choices or contacts if these are in some respect sensitive for the individuals involved. We consider how choice data given anonymously can be used to reveal various features of the network. Using tools from statistical decision theory and information theory we can determine risks and capacities of disclosing choice data, the graph structure of choice data and its numbers of loops and mutuals. We give some general results, illustrate the combinatorial complexity of the problem and comment upon the computational difficulties.     

Walking a tightrope: Dilemmas of participant observation of groups in conflict

This article addresses issues that develop in the conduct of comparative participant observation research. The two groups in which the authors became involved as participant observers were the Unification Church of the Korean evangelist Reverend Sun Myung Moon and the emerging network of organizations involved in the practice of deprogramming. Each group was dedicated to the destruction of the other. Five major methodological problems, common to conducting investigation on single groups, are discussed in the context of researching these two antagonistic groups: 1) role definition and justification; 2) pressures to go native; 3) public pressure to take a stand; 4) evolving commitments; and 5) gaining comparable information and insights. The authors describe their efforts to resolve these problems and maintain a good rapport with both groups. This paper is the product of a joint effort. The order of authorship is random and does not imply any difference in the importance of contributions.     

Economics of Home Activities

This paper explores the contribution of unpaid home activities to the economic welfare of the family. It begins with a review of the conventional economic framework on how household decisions are made. It deals with the modifications which take into account unpaid work in the home. The concept of ‘imputed income’ from home activities (like housework and child care) is then introduced before several possible methods of measuring that income are assessed. The final section of the paper analyses some policy implications which follow from recognizing imputed income as part of family income.     

Nonverbal cues employed in discriminating between disabled persons and actors

Undergraduate subjects were seen to accurately discriminate between simulating actors and genuinely disabled males confined to wheelchairs. Judgments were based on skill in manipulating the wheelchair, poorer muscular development of the disabled, and on appearance of clothing. Implications for research on the disabled employing actors was discussed.This study was supported by a grant from the York University Faculty of Arts awarded to the first two authors. The project was performed as the third author's Honours thesis. The authors wish to thank all participants for their cooperation and assistance in making this research possible. The authors also wish to thank Gail Kenyon, Coordinator of the Centre for Handicapped Students who helped recruit participants for the videotaping and to Lucie Cantrell, Executive Officer of the York University Counselling and Development Centre who arranged for the use of the Centre's facilities and equipment.     

On the equivalence of some test criteria based on BAN estimators for the multivariate exponential family

For the general multivariate exponential family of distributions it is shown that Rao's test criterion based on efficient scores is algebraically identical to the general chi-squared criterion based on maximum likelihood estimates and, similarly, that the Wald statistic is algebraically identical to the general minimum modified chi-squared statistic using linearization; these results are valid also for the multisample versions. Thus, these are extensions to the general exponential family of the findings due to Silvey (1970) and Bhapkar (1966), respectively, for the special case of the multinomial family.It is also shown that the general forms of the chi-squared and modified chi-squared criteria reduce to their respective well-known forms for the multivariate symmetric power series distribution. This finding is, thus, an extension of results noted by Ferguson (1958) and Clickner (1976) for the special case of the multinomial distribution.     

Assumptions of social mobility research in the U.S.: The case of occupational status

This paper examines the theoretical and empirical basis for common rank-orderings of occupational roles by raters throughout the world. From an illustrative comparison of occupational stratification in Australia and the United States we conclude tentatively that (1) commonalities in the socioeconomic characteristics of occupational roles provide the basis for interplace consistencies in “prestige” scores, (2) the structure of occupational mobility in the U.S. and Australia is largely similar, (3) this similar structure of occupational stratification manifests a common socioeconomic process which defines a (the?) major component of occupational mobility in capitalist, industrial (only?) societies. We infer that “prestige” scores for occupations are fallible estimates of the socioeconomic statuses of occupation, within the context of mobility processes in (at least) the U.S. and Australia.