Efficiency of Alodat Sample Selection Procedure over Sen - Midzuno and Yates - Grundy Draw by Draw under Unequal Probability Sampling without Replacement Sample Size 2

Abstract

This paper compare the efficiency of Alodat sample selection procedure over Sen - Midzuno and Yates - Grundy draw by draw using Yates - Grundy estimator under unequal probability sampling without replacement sample size $2$, carried out using the data from the $2008$ Demographic and health survey in Nigeria. We studied the distribution of pregnant women age $15$ - $49$, and children under age five in Nigeria, who use mosquito nets as a means of preventing malaria. These data sets are: ($1$) the number of pregnant women age $15$ - $49$ who slept under mosquito nets the night before the survey, and ($2$) the number of children under age five who slept under mosquito nets the night before the survey. ($1$) and ($2$) above are the variables of interest. The data were collected based on the six geo-political zones in Nigeria [i.e. South South, South West, South East, North West, North East, North Central]. The auxiliary variable is the number of Local Government in each geo-political zone in Nigeria. The Yates - Grundy estimate obtained using Alodat sample selection is more efficient than using Sen - Midzuno and Yates - Grundy selection procedures.