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A TWO‐PHASE SAMPLING ESTIMATOR IN SAMPLE SURVEYS
Author(s) -
Srivastava Surendra K.
Publication year - 1970
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1970.tb00109.x
Subject(s) - mathematics , estimator , statistics , minimum variance unbiased estimator , bias of an estimator , consistent estimator , ratio estimator , linear regression , trimmed estimator , efficient estimator , population , demography , sociology
Summary A two‐phase sampling estimator of the ratio‐type for estimating the mean Ȳ of a finite population, has been considered where the value of ρC y /C x can be guessed or estimated in advance. Here C y and C x denote respectively the coefficients of variation of the characteristic under study, y, and the auxiliary characteristic x and ρ denotes the coefficient of correlation between y and x. When the value of ρC y /C x is guessed or estimated exactly, the estimator has a smaller large‐sample variance compared with either an ordinary ratio estimator or an ordinary linear regression estimator in two‐phase sampling in the case where the first‐phase sample is drawn independently from the second‐phase sample. If the sample at the second phase is a subsample of the first‐phass̀e sample, the estimator has variance equal to that of the linear regression estimator. The largest value of the difference between the assumed value and the actual value of ρC y /C x has been obtained so as not to result in the variance of the estimator being larger than the variances of either an ordinary ratio estimator or an ordinary linear regression estimator.