A note on the use of an origin shift in survey sampling: a conceptual perspective
DOI:
https://doi.org/10.6092/issn.1973-2201/3500Abstract
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 scheme and SRSWOR scheme with ratio method of estimation have also been compared both under the design and an assumed model.References
P.K. BEDI, T.J. RAO (1996), Efficient utilization of auxiliary information at estimation stage, “Biometrical Journal”, 38, pp. 973-976.
M.G. KENDAL, A. STUART, J.K. ORD (1983), The advanced theory of Statistics, volume III, Charles Griffin and Company Limited, London and High Wycombe, pp. 242.
H. MIDZUNO (1952), On the sampling system with probability proportionate to sum of sizes, “Annals of the Institute of Statistical Mathematics”, 3, pp. 99-107.
S. MOHANTY, M.N. DAS (1971), Use of transformation in sampling, “Journal of the Indian Society of Agricultural Statistics”, 23, pp. 83-87.
S. MOHANTY, J. SAHOO (1995), A note on improving the ratio method of estimation through linear transformation using certain known population parameters, “Sankhyā”, series B, 57, pp. 93-102.
G.E. MONTANARI (1987), Variance reduction through location shifts in unequal probability sampling, “Metron”, 45, pp. 213-234.
V.N. REDDY, T.J. RAO (1977), Modified PPS method of estimation, “Sankhyā”, series C, 39, pp. 185-197.
L.N. SAHOO (1983), On a method of bias reduction in ratio estimation, “Journal of Statistical Research”, 17, pp. 1-6.
J. SAHOO, L.N. SAHOO, S. MOHANTY (1994), Unequal probability sampling using a transformed auxiliary variable, “Metron”, 52, pp. 71-83.
R. SINGH (1975), A note on the efficiency of the ratio estimate with Midzuno scheme of sampling, “Sankhyā”, series C, 37, pp. 211-214.
T. SRIVENKATARAMANA, D.C. TRACY (1980), An alternative to ratio method in sample survey, “Annals of the Institute of Statistical Mathematics”, 32, pp. 111-120.
T. SRIVENKATARAMANA, D.C. TRACY (1986), Transformations after sampling, “Statistics”, 17, pp.597-608.
A. STUART (1986), Location shifts in sampling with unequal probabilities, “Journal of the Royal Statistical Society”, series A, 149, pp. 349-365.
M. TIN (1965), Comparison of some ratio estimators, “Journal of the American Statistical Association”, 60, pp. 294-307.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2007 Statistica
Copyrights and publishing rights of all the texts on this journal belong to the respective authors without restrictions.
This journal is licensed under a Creative Commons Attribution 4.0 International License (full legal code).
See also our Open Access Policy.