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Sampling Organizations and Groups of Unequal Sizes
American Sociological Review
Vol. 30, No. 4 (Aug., 1965), pp. 564-572
Published by: American Sociological Association
Stable URL: http://www.jstor.org/stable/2091346
Page Count: 9
You can always find the topics here!Topics: Estimators for the mean, High schools, Population mean, Statistical variance, Population estimates, High school students, Physics, Students, Population size, Ratios
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A methodological issue arises whenever groups of elements of greatly differing sizes serve as observational units. The value of each unit is observed and assigned a single group value \bar Y_a; but the values also have meaning for the parent population of elements. In studies of groups, organizations and ecological units, the unweighted group mean \bar Y_g of the units is often computed automatically. But a mean weighted for significance should always be considered and usually preferred, particularly the element mean \bar Y_e, weighted by the numbers of elements in the units. For estimating \bar Y_e, it is efficient to select units with probabilities proportional to those numbers. Implications for several research designs are advanced. The difference \bar Y_e-\bar Y_g=\bar Y_gRC_yC_n is discussed.
American Sociological Review © 1965 American Sociological Association