The precision of any estimate made from a sample
depends both on the method by which the estimate is
calculated from the sample data and on the plan of
sampling. In the following analysis, let denotes the j-th
element of the i-th systematic sample ,so that j=1,2,3,…,k .The mean of the i-th sample is denoted by
̅
.The systematic sampling estimator of the population
mean, µ .The variance of this mean estimator requires some
assumptions as below:
1-When the population values are assumed to be in no
particular order with respect to the variance of the estimator
of the mean is the same as in the case of simple random
sampling. (Aczel, 1989).