Some Sampling Simplified

Results in the theory of sampling from finite populations can be obtained very easily by working in terms of k's. The single subscript k's were introduced by R. A. Fisher [2], while the multiple subscript ones seem to be new. The k's have very simple general properties as regards sampling from one or more finite populations, and may be easily computed numerically. Applications are made here mostly to known results, while further applications to obtain new results will be made elsewhere.