On Stratification Using Auxiliary Variables and Discriminant Method
Let U be a fixed population of size N from which a sample S of size n be drawn. We assume that values of variable Y are observed in the sample S and mean estimation is a goal of the survey. Moreover, let us assume that values of auxiliary variables X1,…, Xm are known in the whole population. With fixed n, the mean should be estimated with an error as low as possible. Thus, the sample S selection method and an unbiased estimator with possible low variance should be established. A sampling strategy using auxiliary variables data may be an alternative to simply random sampling. The method proposed below depends on the selection of a preliminary sample Sp of size np (np < n) and next stratification of the remainder population and selection of a stratified sample Ss with size ns.
KeywordsMarginal Distribution Stratify Sample Auxiliary Variable Unbiased Estimator Preliminary Sample
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