therefore becomes an entangled property itself.

In this paper we state the general condition for the violation of a Bell inequality involving the selected results in either one of the above-defined subensembles. In particular, constraints for a maximal violation are given. This is done in a way that explicitly shows the dependence of the entanglement of the subensembles on the setting of a measuring apparatus which can be located in a spacelike separated region. Furthermore, we extend the analysis of KZ to include a more general type of three-particle states than that appearing in Eq. (1). Specifically, we shall consider the class of states which can be written in the triorthogonal form [@Elby-Bub] $$|\Psi \rangle = c_1 |z_1 \rangle |z_2 \rangle |z_3 \rangle
+ c_2 |-z_1 \rangle |-z_2 \rangle |-z_3 \rangle,$$ where, for simplicity, the coefficients $c_1$ and $c_2$ are chosen real, with $c^{2}_{1} + c^{2}_{2} =1$, and where $|z_i \rangle$ ($|-z_i \rangle$) denotes the eigenvector of the spin operator along the $z$ axis for particle $i$, with eigenvalue $z_i =\pm1$ ($-z_i = \mp1$). Clearly, the state in Eq. (2) reduces to the GHZ state (1) when we put $c_1 =c_2 = 1/{\sqrt{2}}$, and $z_1 = z_2 = z_3 =+1$. 