Analysis strategy | Formula | |
---|---|---|
a | Univariable regression analysis | logit(P[Y + 1]) = β0 + T ∗ βT |
b | Regression analysis with covariate adjustment | logit(P[Y + 1]) = C ∗ βC + T ∗ βT |
c | Propensity score adjustment |
PS = C ∗ βC logit(P[Y + 1]) = PS ∗ βPS + T ∗ βT |
d | IV analysis | logit(P[Y + 1]) = Z ∗ βZ |
e | IV analysis with correction for hospital | logit(P[Y + 1]) = Z ∗ βZ + H ∗ βH |
f | IV analysis with correction for hospital and all measured and unmeasured confounders | logit(P[Y + 1]) = Z ∗ βZ + H ∗ βH + C ∗ βC + U ∗ βU |