  The recent progress of the Majorana experiments paves a way for the future
tests of non-abelian braiding statistics and topologically-protected quantum
information processing. However, a deficient design in those tests could be
very dangerous and reach false-positive conclusions. A careful theoretical
analysis is necessary in order to develop loophole-free tests. We introduce a
series of classical hidden variable models to capture certain key properties of
Majorana system: non-locality, topologically non-triviality, and quantum
interference. Those models could help us to classify the Majorana properties
and to set up the boundaries and limitations of Majorana non-abelian tests:
fusion tests, braiding tests and test set with joint measurements. We find a
hierarchy among those Majorana tests with increasing experimental complexity.
