Separate outcome models are used for exposed and unexposed villages. Table 1: Outcome model coefficient estimates for exposed villages for the exposure: fraction of leaders in each village. Table 2: Outcome model coefficient estimates for unexposed villages for the exposure: fraction of leaders in each village. Parameter Estimate Standard Error t -value p -value Using only network covariates Intercept 0.3951 0.0225 17.5977 < 0 . 001 Mean Neighbor Degree X (2) -0.0081 0.0012 -6.8472 < 0 . 001 LCC Size X (5) -0.0001 0.0000 -8.3894 < 0 . 001 Mean Component Size X (6) 0.0003 0.0001 3.8005 < 0 . 001 Total Neighbor Seeds X (9) 0.0039 0.0014 2.9035 0.0037 Using network covariates and sociodemographics Intercept 0.4344 0.0249 17.4641 < 0 . 001 Sex 0.0162 0.0085 1.9094 0.0562 Age -0.0013 0.0003 -3.8254 < 0 . 001 Mean Neighbor Degree X (2) -0.0078 0.0012 -6.4798 < 0 . 001 LCC Size X (5) -0.0001 0.0000 -8.4663 < 0 . 001 Mean Component Size X (6) 0.0003 0.0001 3.7191 < 0 . 001 Total Neighbor Seeds X (9) 0.0039 0.0014 2.8641 0.0042 Parameter Estimate Standard Error t -value p -value Using only network covariates Intercept 0.1936 0.0326 5.9415 < 0 . 001 Degree X (1) 0.0077 0.0014 5.6074 < 0 . 001 LCC Size X (5) -0.0006 0.0001 -7.6842 < 0 . 001 Mean Component Size X (6) -0.0005 0.0001 -5.5891 < 0 . 001 Total Cluster Seeds X (10) 0.0030 0.0004 6.9553 < 0 . 001 Using network covariates and sociodemographics Intercept 0.2362 0.0385 6.1321 < 0 . 001 Age -0.0013 0.0006 -2.0704 0.0385 Degree X (1) 0.0082 0.0014 5.8544 < 0 . 001 LCC Size X (5) -0.0006 0.0001 -7.6616 < 0 . 001 Mean Component Size X (6) -0.0005 0.0001 -5.6084 < 0 . 001 Total Cluster Seeds X (10) 0.0030 0.0004 6.9282 < 0 . 001 23