Abstract: A number of researchers have investigated the problem of nonresponse in sample surveys and the effect of its bias on the estimates obtained. Some of these researchers include: Hansen and Hurwitz, Hendricks, Deming, Houseman, Durbin and Stuart, Kish and Hess, Ericson, Kokan, Sodipo, Okafor and Lee, among others. Rao suggested a ratio estimator for the population mean , of a study variable y in the presence of nonresponse, when the population mean of an auxiliary character x with full response (full data available on both the respondents and nonrespondents) is known. Our present research proposes a difference cum ratio estimator which is essentially an extension of Rao ratio estimator. The proposed estimator proves to be more efficient than and also contains Rao ratio estimator. We study the properties of our proposed estimator and discuss procedures for determining the optimum values of the sample size n and the subsampling rate k. An illustration is made with a hypothetical data to demonstrate the practical applicability of our new estimator.
A.A. Sodipo and K.O Obisesan , 2007. Estimation of the Population Mean Using Difference Cum Ratio Estimator With Full Response on the Auxiliary Character . Research Journal of Applied Sciences, 2: 769-772.