Variance estimation with highly stratified sampling designs with unequal probabilities

Berger, Y.G. (2005) Variance estimation with highly stratified sampling designs with unequal probabilities. Australian & New Zealand Journal of Statistics, 47 (3). pp. 365-373. ISSN 1369-1473 doi: 10.1111/j.1467-842X.2005.00401.x

Abstract/Summary

It is common practice to design a survey with a large number of strata. However, in this case the usual techniques for variance estimation can be inaccurate. This paper proposes a variance estimator for estimators of totals. The method proposed can be implemented with standard statistical packages without any specific programming, as it involves simple techniques of estimation, such as regression fitting.