Abstract
SUMMARY Poststratification is often used to increase the precision of survey estimators. When applied to regression estimators, it assumes that the regression relationships in the various strata are different. This gives rise to the use of the separate regression estimator. In this paper, we consider situations where the strata affiliation of the population units is not specified in the frame so that the separate regression estimator is not available, the strata means of the regressor variable and the strata sizes being unknown. We propose a new regression type estimator which accounts for the different regression relationships in the various strata, but no longer depends on the unknown strata means and sizes. We show that this estimator is more precise than estimators that ignore the differences in the regression relationships. The theoretical comparisons are illustrated by simulation results.
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