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This paper suggests a new way of applying "Proportional-Reductions-in-Error" related measures (i.e., Gamma, dyx, dxy, and Kendall's Tau's) to link logical forms of hypotheses to types of ordinal measures of association. First, the basic form of associations for ordinal data are examined. Second, the analytical properties of "P-R-E" related measures are investigated. Finally, it is proposed that "P-R-E" related measures be used in testing the logical form of the relationship between variables implied in a hypothesis. [ABSTRACT FROM AUTHOR]

In recent decades limited research attention has been given to those smallest population centers, beyond the individual farmstead, commonly referred to as hamlets. Alluding to this fact, the following statement made in 1943 by the geographer, Glenn T. Trewartha, is still indicative of the situation: "… one of the most numerous and widespread settlement types in the United States, the unincorporated hamlet, does not deserve the near oblivion that has been accorded it by geographers and other workers in the social sciences." The lack of research interest may be attributed partially to the dimunition of the farm population and rural institutions and the increasing significance of industrialization and urban development. Because of these and other changes, students of society may share the opinion that hamlets are rapidly disappearing and consequently not worthy of study. Various studies, however, are not in agreement concerning whether or not hamlets have increased or decreased in size and numbers. According to Fuguitt, the contradictory findings stem from the fact that previous researchers have not made "a clear distinction between (1) changes in population size categories over time, and (2) changes in individual places over time." In a study based on Census data, Fuguitt examined Wisconsin's incorporated small towns for the period 1880-1960. He simultaneously analyzed the two analytical components indicated above through the use of the Markov model. His general conclusion was: "While fewer small towns are being 'born' these days, they aren't 'dying,' but are growing up to be big towns, in some cases." Although it is possible, as Fuguitt also suggests, that small unincorporated places are declining in size and number, there is little reported data to suggest they are rapidly diminishing as a rural collectivity or settlement center in contemporary society. In general, the purpose of this paper is to make a contribution to our descriptive knowledge of hamlets. Initially, an effort is made to determine the main activity pursued by the principal family supporters within or near the hamlet area. Secondly, based on the major activity pursued by each resident family's primary income recipient, a statistically derived typology of hamlets is described. [ABSTRACT FROM AUTHOR]