  The Ising model is a model for pairwise interactions between binary variables
that has become popular in the psychological sciences. It has been first
introduced as a theoretical model for the alignment between positive (+1) and
negative (-1) atom spins. In many psychological applications, however, the
Ising model is defined on the domain $\{0,1\}$ instead of the classical domain
$\{-1,1\}$. While it is possible to transform the parameters of a given Ising
model in one domain to obtain a statistically equivalent model in the other
domain, the parameters in the two versions of the Ising model lend themselves
to different interpretations and imply different dynamics, when studying the
Ising model as a dynamical system. In this tutorial paper, we provide an
accessible discussion of the interpretation of threshold and interaction
parameters in the two domains and show how the dynamics of the Ising model
depends on the choice of domain. Finally, we provide a transformation that
allows to transform the parameters in an Ising model in one domain into a
statistically equivalent Ising model in the other domain.
