A class of multivariate distribution-free tests of independence based on graphs

A class of distribution-free tests is proposed for the independence of two subsets of response coordinates. The tests are based on the pairwise distances across subjects within each subset of the response. A complete graph is induced by each subset of response coordinates, with the sample points as nodes and the pairwise distances as the edge weights. The proposed test statistic depends only on the rank order of edges in these complete graphs. The response vector may be of any dimensions. In particular, the number of samples may be smaller than the dimensions of the response. The test statistic is shown to have a normal limiting distribution with known expectation and variance under the null hypothesis of independence. The exact distribution free null distribution of the test statistic is given for a sample of size 14, and its Monte-Carlo approximation is considered for larger sample sizes. We demonstrate in simulations that this new class of tests has good power properties for very general alternatives.     

Book Review

MYTHS OF CHILDHOOD. Joel Paris. New York: Taylor and Francis, 2000     

Sociotechnology and the Environment

The founders of the sociotechnical modelperceived its relevance at the macro level of thecommunity, at the meso level of whole organizations, aswell as at the micro level of the primary work systems, but it is at the primary work system that mostapplications have been carried out. An efficient microlevel sociotechnical solution may still cause thetechnology to have a harmful impact on the environment. An increasing popular awareness ofenvironmental damage due to certain technologies leadsone to consider an extension of the important jointoptimization concept to a systemic heuristic devicecalled the socioecotechnical model in which the intra-and extra-organizational factors can be jointly assessedand optimized.