The probability of Simpson conversion in four-dimensional binary tables
Let pijkℓp_{ijk\ell}pijkℓ be entries of a 2×2×2×22\times2\times2\times22×2×2×2 table sampled uniformly from the probability simplex, with i,j,k,ℓ∈{0,1}i,j,k,\ell\in\{0,1\}i,j,k,ℓ∈{0,1} and pijkℓ≥0p_{ijk\ell}\geq0pijkℓ≥0. Consider the tw…