Minimization of Ratio Over-estimation Problem in Simple Random Sampling when Population Means are known
Keywords:
bias, estimator, mean square error, ratio, regression
Abstract
Abstract
In this study, the presence of over-estimation in the conventional ratio estimator ( ) r y on mean estimator ( y) when
population means are known is being contested. Three categories of data sets were used to justify this work. Category A is
when the population mean of auxiliary variable is lower than the population mean of the variable of interest (X Y ) ,
category B is when the population mean of auxiliary variable is greater than the population mean of the variable of interest
(X Y ) while category C is when the population mean of auxiliary variable is the same as the population mean of the
variable of interest (X Y ) .
