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

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

 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

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