  We present a method of developing analytical measures of $k$-partite
delocalization in arbitrary $n$-body W-like states, otherwise known as mixed
states in the single excitation subspace. These measures calculate the distance
of a state to its closest reference state with $k-1$ entanglement. We find that
the reference state is determined by the purity of the state undergoing
measurement. Measures with up to 6-body delocalization for a 6-body system are
derived in full, while an algorithm for general $k$-partite measures is given.
