Abstract
Koyuncu and Kadilar proposed an estimator based on single auxiliary variable with complete response in stratified random sampling. In this paper, we extended Koyuncu and Kadilar’s estimator to a more generalized class of estimators using two-auxiliary variables in stratified random sampling for the situation of non-response and further introduced its another improved generalized class of estimators. The mathematical conditions under which proposed class of estimators are efficient as compare to Hansen and Hurwtiz estimator, and ratio estimators modified for stratified sampling have been derived. An empirical study has also been carried out to examine the performance of the suggested estimators.
Highlights
Non-response refers to the situation, when an investigator fails to get necessary information from some of the units of the selected sample
The problem of non-response was first analyzed by Hansen and Hurwitz [1]
An estimator for the population mean in the presence of non-response was constructed and derived its variance with the optimum sampling fraction for the non-respondents
Summary
Non-response refers to the situation, when an investigator fails to get necessary information from some of the units of the selected sample. The problem of non-response was first analyzed by Hansen and Hurwitz [1] They developed a classical non-response concept to obtain information from the sub-sample of non-response group. An estimator for the population mean in the presence of non-response was constructed and derived its variance with the optimum sampling fraction for the non-respondents. It is suitable for the surveys, in which first attempt is made on mail questionnaires and second attempt is selected from the non-respondent persons by personnel interviews. Cochran [2], Kadilar and Cingi [7], Shabbir and Gupta [8], Koyuncu and Kadilar [9], Sanaullah et al [10] and Sanaullah et al [11] utilized auxiliary information under stratified random sampling scheme
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