A note on the use of an origin shift in survey sampling: a conceptual perspective

SAHOO, JAGATANANDA; Department Of Statistics - S.K.C.G. College, Parlakhemundi 761200, SAHOO, LOKANATH; Department Of Statistics - Utkal University, Bhubaneswar 751004 & DAS, BISHNUCHARAN; Department Of Statistics - Utkal University, Bhubaneswar 751004
In 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...