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On ratio and product methods of estimation in sampling
Author(s) -
Srivenkataramana T.,
Tracy D. S.
Publication year - 1979
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1979.tb00660.x
Subject(s) - estimator , random variate , rule of thumb , statistics , extension (predicate logic) , mathematics , product (mathematics) , correlation , estimation , interval (graph theory) , interval estimation , sample size determination , sample (material) , econometrics , computer science , confidence interval , algorithm , random variable , combinatorics , engineering , geometry , systems engineering , programming language , chemistry , chromatography
In sample surveys the ratio (product) method of estimation is quite effective when there is a positively (negatively) high correlation between the study variate and an auxiliary variate on which supplementary information is available. This paper considers four estimators suited for cases where these correlations are only moderate and gives a rule of thumb for choosing among these and the traditional estimators. Such a choice needs a good guess of the interval containing a certain parameter k , which may not be hard in survey practice. A numerical example has been included for the case of positive correlation for illustration. An extension for using multiauxiliary information is also considered.