@article{MAKHILLRJAS2007268785,
    title = {Estimation of the Population Mean Using Difference Cum Ratio Estimator With Full Response on the Auxiliary Character},
    journal = {Research Journal of Applied Sciences},
    volume = {2},
    number = {6},
    pages = {769-772},
    year = {2007},
    issn = {1815-932x},
    doi = {rjasci.2007.769.772},
    url = {https://makhillpublications.co/view-article.php?issn=1815-932x&doi=rjasci.2007.769.772},
    author = {A.A. Sodipo and},
    keywords = {Difference cum ratio,estimator,mean,auxiliary character,nonresponse},
    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.}
    }