A note on the use of an origin shift in survey sampling: a conceptual perspective
AbstractIn this paper, a simple origin shifted auxiliary variable z has been considered when the values of the main auxiliary variable x are completely known. The usability of z has been demonstrated both analytically and geometrically. The variable z has been used in (Midzuno’s, 1952) scheme with unequal probability sampling and it is further retransformed to another variable u so that the Midzuno scheme is operative under revised probability of selection. The efficiencies of Midzuno scheme and SRSWOR scheme with ratio method of estimation have also been compared both under the design and an assumed model.
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