Applications to Sample Surveys

Abstract

A crucial part of sample survey theory is the derivation of a suitable estimator of the variance of a given estimator. The variance estimator can be used in measuring the uncertainty in the estimation, in comparing the efficiencies of sampling designs, and in determining the allocation and stratification under a specific design. It is a common practice to report the estimates in a tabular form along with the variance estimates or estimates of coefficient of variation. Furthermore, consistent variance estimators provide us with large sample confidence sets for the unknown parameters of interest. Confidence sets can also be constructed by directly applying the bootstrap.