Ratio type estimator of square of coefficient of variation using qualitative auxiliary information under double sampling scheme

In this paper, an estimator of square of coefficient of variation has been proposed under double sampling scheme using auxiliary information when it is in the form of an attribute. Sometimes we don't have auxiliary information in quantitative form but we have it in qualitative form further if we do not have full information on auxiliary variable then double sampling is used. An estimator for the estimation of square of population coefficient of variation using Misra, Yadav and Pandey (2008) ratio type estimator of square of coefficient of variation has been proposed when supplementary information is not available on auxiliary variable, its bias and mean square error (MSE) are found and a comparative study has been done with the conventional square of coefficient of variation of per unit estimator without using auxiliary information. It has been shown with an empirical example that it is a better estimator than the conventional one in the sense of having lesser mean squared error.