The splitting design that leads to simple random sampling

Implementing unequal probability sampling, without replacement, is very complex and several methods have been suggested for its performance, including : Midseno design and systematic design. One of the methods that have been introduced by Devil and Tille (1998) is the splitting design that leads to simple random sampling .in this paper by completely explaining the design, with an example, we have shown, the method to calcculate probability for each possible samples, using R software. it`s good to know that we can implement this design using the program in different communities after defining the ideal probability inclusion.