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Table 3 Doubly Robust Targeted Minimum Loss-Based Estimation Using Generalized Linear Models and SuperLearner Adaptive Machine Learning

From: Contemporary epidemiology of rising atrial septal defect trends across USA 1991–2016: a combined ecological geospatiotemporal and causal inferential study

Covariates Model Lower Exposure Higher Exposure R.R. Difference w Higher Exposure Wald Test, Z P-Value
Cannabis_Monthly Initial drtmle mrjmon SuperLearner Model 0.68 (0.61, 0.69) 0.76 (0.72, 0.80) 1.11 (1.05, 1.18) 0.08 (0.04, 0.13) 3.53 0.0004
Cigarettes Binomial glm 0.68 (0.66, 0.69) 0.86 (0.84, 0.87) 1.26 (1.23, 1.29) 0.18 (0.16, 0.20) 17.16 5.02E-66
Alcohol_Abuse        
Cannabis_Monthly SuperLearner 0.71 (0.69, 0.73) 0.98 (0.97, 0.98) 1.37 (1.34, 1.40) 0.27 (0.24, 0.29) 20.08 1.15E-89
Analgesic_Abuse        
Cocaine_Annual Mixed SuperLearner - Glm Model Series       
% White        
% African-American No Interactions       
% Asian - Additive 0.68 (0.66, 0.70) 0.86 (0.84, 0.87) 1.26 (1.22, 1.30) 0.17 (0.16, 0.20) 17.16 5.03E-66
% American Indian / Alaskan Natives
 NHWhite_Daily_Cannabis_Use x THC_Concentration One Interaction       
 NHBlack_Daily_Cannabis_Use x THC_Concentration - Tobacco x Cannabis 0.68 (0.66, 0.70) 0.82 (0.81, 0.84) 1.21 (1.18, 1.25) 0.14 (0.12, 0.16) 13.16 1.57E-39
 NHAsian_Daily_Cannabis_Use x THC_Concentration        
 NHAIAN_Daily_Cannabis_Use x THC_Concentration Three Interactions       
 NHHispanic_Daily_Cannabis_Use x THC_Concentration - Tobacco * Cannabis * Alcohol 0.68 (0.66, 0.70) 0.78 (0.75, 0.82) 1.15 (0.10, 1.20) 0.10 (0.7, 0.14) 5.95 2.62E-09
Median_Household_Income
  Four Substance Interactions       
  - Tobacco * Cannabis * Alcohol * Analgesics 0.68 (0.67, 0.70) 0.75 (0.71, 0.78) 1.08 (1.06, 1.11) 0.06 (0.02, 0.10) 2.85 0.0043
  Three Ethnic Interactions       
  NHWhite_Daily_Cannabis_Use x THC_Concentration * 0.68 (0.66, 0.70) 0.79 (0.75, 0.83) 1.16 (1.9, 1.24) 0.11 (0.06, 0.16) 4.72 7.74E-06
  NHAsian_Daily_Cannabis_Use x THC_Concentration *       
  NHAIAN_Daily_Cannabis_Use x THC_Concentration       
  Three Substance x Three Ethnic Interactions       
  - Tobacco * Cannabis * Alcohol * 0.70 (0.68, 0.72) 0.93 (0.92, 0.94) 1.32 (1.28, 1.36) 0.23 (0.21, 0.25) 18.52 1.32E-76
  NHWhite_Daily_Cannabis_Use x THC_Concentration *       
  NHAsian_Daily_Cannabis_Use x THC_Concentration *       
  NHAIAN_Daily_Cannabis_Use x THC_Concentration