Supplemental Material for Causal Decomposition Analysis With Synergistic Interventions: A Triply Robust Machine-Learning Approach to Addressing Multiple Dimensions of Social Disparities

Equalizing the individual factor while setting the system-level factor to a pre-specified level.The expected potential outcome is defined as. This represents the average potential outcome for individuals with R = 1 and C = c, if the system-level factor is set to A = a while the distribution of the individual factor was equal to that of R = 0 within the same level of C M = c M .This expected potential outcome can also be estimated using a triply-robust estimator.The estimation procedure is similar to that described in Section 4.2, except that factor A is not simulated fromThe triply-robust estimator for the potential outcome (E[Y (a, G M |R=0,C M )|R = 1, C = c]) is as Prepared using sagej.