  We study logarithmic Voronoi cells for linear statistical models and partial
linear models. The logarithmic Voronoi cells at points on such model are
polytopes. To any $d$-dimensional linear model inside the probability simplex
$\Delta_{n-1}$, we can associate an $n\times d$ matrix $B$. For interior
points, we describe the vertices of these polytopes in terms of co-circuits of
$B$. We also show that these polytopes are combinatorially isomorphic to the
dual of a vector configuration with Gale diagram $B$. This means that
logarithmic Voronoi cells at all interior points on a linear model have the
same combinatorial type. We also describe logarithmic Voronoi cells at points
on the boundary of the simplex. Finally, we study logarithmic Voronoi cells of
partial linear models, where the points on the boundary of the model are
especially of interest.
