Observed number of events in risk deciles for case-control setting when models with p = 4 binary X were updated using one binary marker Z with P(X) = P(Z) = 0.2, P(Y) = 0.05, α0 = 0,α = (1, 1,−1,−1)′,βX = (0.5, 0.5, −0.5, −0.5)′, βZ
= 1, ncases = ncontrols = 250. Log-new=Logistic new, LR-j=LR-joint, LR-s=LR-separate, LR-i=LR-ind, LR-o=LR-offset, LR-sh=LR-shrink. Compare with Supplemental Table S6.