On application of a certain classification procedure to mean value estimation under double sampling for nonresponse

One of the techniques commonly used to reduce nonresponse bias is the two-phase sampling scheme. According to this scheme, when deterministic nonresponse appears, estimates of respondent and nonrespondent stratum means are weighted by sample respondent and nonrespondent fractions which estimate unknown shares of both strata in the whole population. In this paper, an alternative method of estimating these shares by using auxiliary information is considered and the application of the Ho-Kashyap (1965) classification procedure to mean value estimation is discussed. Some simulation results are presented.