Evaluation of Some Sampling Strategies for Finite Populations Using a Continuous Variable Framework
Titel:
Evaluation of Some Sampling Strategies for Finite Populations Using a Continuous Variable Framework
Auteur:
Cassel, Claes-Magnus Sarndal, Carl-Erik
Verschenen in:
Communications in statistics
Paginering:
Jaargang 3 (1974) nr. 4 pagina's 373-390
Jaar:
1974
Inhoud:
This paper suggests an approach to the comparison of strategies for estimating the mean of a finite population under the heteroscedastic regression model, y = θ(x + z), of the relationship between the variable of interest, y, and the auxiliary variable, x. A continuous variable framework is used as a model for the finite population. Two classes of estimators are considered, which include traditional approaches such as the Horvitz-Thompson estimator, the ratio estimator and the mean-of-the-ratios estimator. So-called best pε-unbiased estimators are also derived. The various strategies are evaluated in terms of their variance or mean square error, which is expressed as a function of four parameters: One population shape parameter, one sampling design parameter, and two parameters, k and g, specifying the error variance, var(z|x) = k2xg. The various sampling strategies are studied with regard to their sensitivity to changes in these parameters.
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