Monotonicity of Rank Statistics in some Non–parametric: Testing Problems

For some non–parametric testing problems (one–sided two–sample problem, k –sample trend problem, testing independence against positive dependence) a partial ordering, denoted by ≥, over the alternatives is defined. This partial ordering expresses the strength of the deviation from the null–hypothesis. All familiar rank tests turn out to become more powerful under "increasing" alternatives; that is, all familiar rank statistics preserve the ordering stochastically in samples whenever it is present between underlying distributions. As a tool, the sample equivalence of ≥ is introduced as a partial ordering over pairs of permutations. Functions, defined on pairs of permutations, which preserve this ordering are studied.     

Abstracts

Quality & Quantity -     

EFFECT OF GROUPING OF DATA ON THE DIVERGENCE BETWEEN LASPEYRES AND PAASCHE FORMS OF QUANTUM INDEXES*

Historical data for the manufacturing industry in the United States and United Kingdom are quoted, showing in most cases divergences between Laspeyres and Paasche forms of the quantum index that are by no means negligible. When the Paasche index for two of the series is recalculated with quantity indicators for industries instead of for products, the divergence is greatly reduced, and when quantity indicators for industry groups are substituted it almost disappears. This raises some questions about the practices of econometricians and statisticians, which are discussed. In a mathematical appendix by E. R. Coleman it is suggested that the grouping effect referred to does not depend on the particular way in which the data are grouped in most quantum indexes.     

Managed competition

People don't like change. That includes materiel managers, administrators, and clinical providers. Managed competition or managed care will work if, and only if, the American professions and the American public recognize the value of highly educated and qualified clinical and nonclinical providers and if the health care industry responds in kind.     

An appropriate development strategy for Southern Africa∗

The limited successes achieved with development in the Third World and the national states in Southern Africa have necessitated a considerable change in development thinking and practice. The conventional developmental approach, which is based on growth models, is inappropriate for the conditions in the LDCs. A new development approach, coupled with an appropriate development strategy, has culminated in the development literature.

In this article the poverty problem in Southern Africa is outlined as a general background, whereafter the new development approach and a few guidelines for an appropriate development strategy is discussed. The application of the new strategy in the circumstances of Southern Africa is highlighted.     

Black americans and Ghanaians: Comparative patterns of internal migration

Conclusions For our purposes here, the analysis has been fruitful in that it has served to indicate and underscore in both general and specific terms the sources and determinants of migration movement and the destination of migrants. The qualitative analysis and the statistical test have led to several research conclusions. Both United States and Ghanaian migrants behave in accordance with the migration concepts examined. Common relationships between migration and economic opportunity are apparent. While push factors have generally initiated migratory movement among black Americans, particularly in respect to the South, both groups tend to move to regions with better economic opportunities. In both cases, migration is a negative function of distance, and a large labor force at the origin is a stimulus to out-migration at the origin.