. 2016 Jan 10;183(3):237–247. doi: 10.1093/aje/kwv198

Table 1.

Seven Key Log-Odds Ratios Defined by the Case-Control Probabilities, p_dge, d, g, e ∈ {0,1}, for a Given Marker^a

Log-Odds Ratio	Value	Description
θ_GE	log(p₀₁₁p₀₀₀/p₀₀₁p₀₁₀)	G-E given D = 0
γ_GE	log(p₁₁₁p₁₀₀/p₁₀₁p₁₁₀)	G-E given D = 1
α_G	log([p₁₁₁ + p₁₁₀][p₀₀₁ + p₀₀₀]/[p₁₀₁ + p₁₀₀][p₀₁₁ + p₀₁₀])	D-G (marginal)
α_E	log([p₁₁₁ + p₁₀₁][p₀₁₀ + p₀₀₀]/[p₁₁₀ + p₁₀₀][p₀₁₁ + p₀₀₁])	D-E (marginal)
β_G	log(p₀₀₀p₁₁₀/p₀₁₀p₁₀₀)	D-G given E = 0 (main)
β_E	log(p₀₀₀p₁₀₁/p₀₀₁p₁₀₀)	D-E given G = 0 (main)
β_GE	log(p₀₀₁p₀₁₀p₁₀₀p₁₁₁/p₀₀₀p₀₁₁p₁₀₁p₁₁₀)	Multiplicative G-E interaction

^a p_dge ≡ Pr(G = g, E = e|D = d).