Estimator of Domain Mean Using Stratified Sampling in the Presence on Non-Response

The present work investigated a direct estimator of domain mean which helps for future work in the field of small area estimation. Our investigation will helpful when the availability of non-response in strata which may or may not be the same in all the domains. We discussed the proposed estimators for domain mean utilizing stratified sampling with non-response and also studied its properties. Proposed estimator has compared with a direct ratio estimator for domain mean utilizing stratified sampling with non-response where, non-response is available approximately (30%) in the domain. We considered two situations in the first, non-responses are approximately (30%). However, in second case, different non-responses like 20 % and 40 % in the strata 1 and 2 respectively. An empirical study has been carried out for the data Sarndal et al. (1992) in terms of the mean square error. We obtained that proposed generalized investigation is more efficient than ratio estimator in case i over case ii. It is analyzed that the direct generalized investigation is a better choice over direct ratio estimate with or without non-responses in both the cases.