Table 1 5 different methods of analysis to estimate the association between treatment and outcome
| 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 |