A partition is an assignment of every element of a set into 1 & only 1 subset w/ no empty subsets. A common instance of partitioning in statistics is the partitioning of sums of squares for F-tests.
A partition is an assignment of every element of a set into one and only one subset with no empty subsets. That is, no element of the original / super- set is unassigned, no element is assigned to more than one subset, and there is no subset without any assigned elements. A common instance of partitioning in statistics is the partitioning of sums of squares for F-tests.