Model Specification | Parameters | Model Parameters | |||||||
---|---|---|---|---|---|---|---|---|---|
Instrumental Variables | Lagged Parameter | Parameter | Estimate (C.I.) | P-Value | Adj. R-Squared | Chi.Squ. | F | dF | P |
 |  | Additive model | |||||||
 |  | plm(Cancer_Rate ~ Cigarettes + Cannabis + Analgesics + Alcohol + Cocaine) | |||||||
 |  | Cannabis | 5.31 (1.68, 8.95) | 0.0042 | 0.0790 | 80.6858 |  | 3 | < 2.2E-16 |
 |  | Analgesics | −9.3 (−14.93, −3.67) | 0.0012 |  |  |  |  |  |
 |  | Cigarettes | −4.53 (−7.15, −1.92) | 0.0007 |  |  |  |  |  |
 |  | Interactive model | |||||||
 |  | plm(Cancer_Rate ~ Cigarettes * Cannabis * Analgesics * Alcohol + Cocaine) | |||||||
 |  | Cigarettes: Cannabis | 24.47 (11.37, 37.57) | 0.0003 | 0.0663 | 83.1987 |  | 4 | < 2.2E-16 |
 |  | Cocaine | −11.93 (−22.84, −1.02) | 0.0321 |  |  |  |  |  |
 |  | Analgesics | −8.25 (−14.2, − 2.3) | 0.0066 |  |  |  |  |  |
 |  | Cigarettes | −5.83 (−8.92, −2.73) | 0.0002 |  |  |  |  |  |
 |  | Interactive Full model |  |  |  |  |  |  |  |
 |  | plm(Cancer_Rate ~ Cigarettes * Cannabis * Analgesics * Alcohol + Cocaine + 6_Races + Income) | |||||||
 |  | White | 8.57 (7.18, 9.96) | < 2.2E-16 | 0.1927 | 23.5694 |  | 13,736 | < 2.2E-16 |
 |  | Asian | 0.92 (0.67, 1.17) | 2.0E-12 |  |  |  |  |  |
 |  | Hispanic | 0.71 (0.47, 0.94) | 7.1E-09 |  |  |  |  |  |
 |  | Cigarettes | 69.38 (39.16, 99.59) | 7.9E-06 |  |  |  |  |  |
 |  | Cigarettes: Alcohol: Analgesics | 1169.92 (598.17, 1741.68) | 6.7E-05 |  |  |  |  |  |
 |  | Cannabis: Alcohol | 719.64 (352.45, 1086.83) | 1.3E-04 |  |  |  |  |  |
 |  | Cigarettes: Cannabis: Analgesics | 2926.99 (1407.72, 4446.25) | 0.0002 |  |  |  |  |  |
 |  | Analgesics | 58.43 (22.7, 94.17) | 0.0014 |  |  |  |  |  |
 |  | Alcohol: Analgesics | 709.96 (139.61, 1280.31) | 0.0149 |  |  |  |  |  |
 |  | Cannabis: Alcohol: Analgesics | − 5916.9 (− 9125.97, − 2707.83) | 0.0003 |  |  |  |  |  |
 |  | Cigarettes: Cannabis | − 345.82 (−521.51, − 170.13) | 1.2E-04 |  |  |  |  |  |
 |  | Alcohol | − 153.51 (−219.89, −87.13) | 6.8E-06 |  |  |  |  |  |
 |  | Cigarettes: Analgesics | − 716.53 (− 1007.91, −425.15) | 1.8E-06 |  |  |  |  |  |
 |  | Interactive Full model - 2 Lags | |||||||
 | Cigarettes, 2 | plm(Cancer_Rate ~ Cigarettes * Cannabis * Analgesics * Alcohol + Cocaine + 6_Races + Income) | |||||||
 | Cannabis, 2 | White | 9.28 (7.88, 10.67) | < 2.2E-16 | 0.2014 |  | 33.9397 | 7642 | 2.0E-01 |
 | Analgesics, 2 | Asian | 0.96 (0.71, 1.22) | 2.1E-13 |  |  |  |  |  |
 | Alcohol, 2 | Hispanic | 0.67 (0.41, 0.94) | 9.4E-07 |  |  |  |  |  |
 | Cocaine, 2 | Cigarettes | 18.29 (9.29, 27.29) | 7.6E-05 |  |  |  |  |  |
 |  | Cigarettes: Alcohol: Analgesics | 513.89 (96.6, 931.17) | 0.0161 |  |  |  |  |  |
 |  | Cigarettes: Analgesics | −92.64 (−154.24, −31.03) | 0.0033 |  |  |  |  |  |
 |  | Cigarettes: Alcohol | − 95.72 (− 146.79, −44.65) | 0.0003 |  |  |  |  |  |
 |  | Interactive Full model - 4 Lags | |||||||
 |  | plm(Cancer_Rate ~ Cigarettes * Cannabis * Analgesics * Alcohol + Cocaine + 6_Races + Income) | |||||||
 | Cigarettes, 4 | White | 8.71 (6.97, 10.46) | < 2.2E-16 | 0.1990 |  | 17.6055 | 12,537 | < 2.2E-16 |
 | Cannabis, 4 | Hispanic | 0.85 (0.54, 1.16) | 7.3E-08 |  |  |  |  |  |
 | Analgesics, 4 | Asian | 0.72 (0.4, 1.05) | 1.7E-05 |  |  |  |  |  |
 | Alcohol, 4 | Cigarettes: Cannabis | 233.66 (115.14, 352.18) | 1.3E-04 |  |  |  |  |  |
 | Cocaine, 4 | Cigarettes: Alcohol: Analgesics | 1975.86 (855.19, 3096.52) | 0.0006 |  |  |  |  |  |
 |  | Cannabis: Alcohol: Analgesics | 1972.91 (573.99, 3371.83) | 0.0059 |  |  |  |  |  |
 |  | Alcohol | 105.37 (17.01, 193.73) | 0.0198 |  |  |  |  |  |
 |  | AIAN | −8.33 (−14.85, −1.8) | 0.0127 |  |  |  |  |  |
 |  | Alcohol: Analgesics | − 647.54 (− 1104.4, − 190.68) | 0.0057 |  |  |  |  |  |
 |  | Cannabis: Alcohol | −376.97 (−619.06, − 134.87) | 0.0024 |  |  |  |  |  |
 |  | Cigarettes: Alcohol | −286.48 (− 462.48, −110.48) | 0.0015 |  |  |  |  |  |
 |  | Cigarettes: Cannabis: Analgesics | − 1300.25 (−2003.68, − 596.83) | 0.0003 |  |  |  |  |  |
 |  | Interactive Full model - 5 Lags | |||||||
 |  | plm(Cancer_Rate ~ Cigarettes * Cannabis * Analgesics * Alcohol + Cocaine + 6_Races + Income) | |||||||
THC | Cigarettes, 5 | White | 6.7228 (5.29, 8.15) | < 2.2E-16 | 0.2302 | 233.988 |  | 10 | < 2.2E-16 |
Cannabigerol | Cannabis, 5 | Hispanic | 0.652 (0.41, 0.89) | 7.2E-08 | Â | Â | Â | Â | Â |
Cannabinol | Analgesics, 5 | Asian | 0.6755 (0.42, 0.93) | 2.6E-07 | Â | Â | Â | Â | Â |
Cannabichromene | Alcohol, 5 | Cigarettes: Cannabis | 28.717 (14.28, 43.16) | 0.0001 | Â | Â | Â | Â | Â |
 | Cocaine, 5 | Cigarettes: Cannabis: Alcohol: Analgesics | 8122.4789 (3192.57, 13,052.39) | 0.0012 |  |  |  |  |  |
 |  | Cannabis: Analgesics | 463.7354 (130.9, 796.57) | 0.0063 |  |  |  |  |  |
 |  | Cigarettes: Cannabis: Analgesics | − 1099.2482 (−1927.82, −270.68) | 0.0093 |  |  |  |  |  |
 |  | Cannabis: Alcohol: Analgesics | − 3523.9404 (− 5495.28, − 1552.6) | 0.0005 |  |  |  |  |  |
 |  | AIAN | −9.4157 (−14.03, −4.81) | 0.0001 |  |  |  |  |  |
 |  | Cigarettes | −5.1117 (−7.44, −2.78) | 1.7E-05 |  |  |  |  |  |
 |  | Interactive Full Model with Racial Cannabis Exposure as Instrumental Variables | |||||||
THC Exposure |  | plm(Cancer_Rate ~ Cigarettes * Cannabis * Analgesics * Alcohol + Cocaine + 6_Races + Income) | |||||||
In: |  | White | 0.7294 (−11.72, 25.62) | < 2.2E-16 | 0.2300 | 232.721 |  | 9 | < 2.2E-16 |
Caucas-Am. |  | Asian | 0.1306 (−9.77, 11.17) | 9.2E-08 |  |  |  |  |  |
African-Am. |  | Hispanic | 0.1202 (−9.65, 10.91) | 1.6E-07 |  |  |  |  |  |
Hispan-Am. | Â | Cigarettes: Cannabis: Alcohol: Analgesics | 731.4135 (3112.74, 3129.47) | 2.0E-05 | Â | Â | Â | Â | Â |
Asian-Am. | Â | Cannabis: Analgesics | 35.5327 (136.48, 152.42) | 4.8E-05 | Â | Â | Â | Â | Â |
AIAN-Am. | Â | Cocaine | 4.9629 (7.98, 18.41) | 0.0078 | Â | Â | Â | Â | Â |
NHPI-Am. |  | AIAN | 2.3266 (−1.45, −16.93) | 7.9E-05 |  |  |  |  |  |
 |  | Cannabis: Alcohol: Analgesics | 378.1363 (− 1752.55, − 1770.82) | 3.2E-06 |  |  |  |  |  |
 |  | Cigarettes: Analgesics | 9.4453 (−37.01, −56.39) | 7.7E-07 |  |  |  |  |  |