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This paper proposes a generalized Bell-like inequality (GBI) formultiparticle entangled Schr\"{o}dinger-cat--states of arbitrary spin-$s$.Based on quantum probability statistics the GBI and violation are formulated inan unified manner with the help of state density operator, which can beseparated to local and non-local parts. The local part gives rise to theinequality, while the non-local part is responsible for the violation. The GBIis not violated at all by quantum average except the spin-$1/2$ entangledstates. If the measuring outcomes are restricted in the subspace of spincoherent state (SCS), namely, only the maximum spin values $\pm s$, the GBI isstill meaningful for the incomplete measurement. With the help of SCS quantumprobability statistics, it is proved that the violation of GBI can occur onlyfor half-integer spins but not integer spins. Moreover, the maximum violationbound depends on the number parity of entangled particles, that it is $1/2$ forthe odd particle-numbers while $1$ for even numbers.

Generalized Bell-like inequality and maximum violation for multiparticle entangled Schr\"{o}dinger-cat-states of spin-s