  We study the concepts of compatibility and separability and their
implications for quantum and classical systems. These concepts are illustrated
on a macroscopic model for the singlet state of a quantum system of two
entangled spin 1/2 with a parameter reflecting indeterminism in the measurement
procedure. By varying this parameter we describe situations from quantum,
intermediate to classical and study which tests are compatible or separated. We
prove that for classical deterministic systems the concepts of separability and
compatibility coincide, but for quantum systems and intermediate systems these
concepts are generally different.
