  In this paper, we present the separability criteria to identify
non-$k$-separability and genuine multipartite entanglement in mixed
multipartite states using elements of density matrices. Our criteria can detect
the non-$k$-separability of Dicke class of states, anti W states and mixtures
thereof and higher dimensional W class of states. We then investigate the
performance of our criteria by considering $N$-qubit Dicke states with
arbitrary excitations added with white noise and mixture of $N$-qudit W state
with white noise. We also study the robustness of our criteria against white
noise. Further, we demonstrate that our criteria are experimentally
implementable by means of local observables such as Pauli matrices and
generalized Gell-Mann matrices.
