Table 8 Time-Lagged Spatiotemporal Models
Lagged Variables | Parameter | Model | ||||||
|---|---|---|---|---|---|---|---|---|
Parameter | Estimate (C.I.) | P-Value | LogLik | S.D. | Model Parameter | Estimate | P-Value | |
Cannabis, 2 | Full model - 2 Lags - Just Lagging Cannabis | |||||||
spreml(Cancer_Rate ~ Cigarettes * Cannabis * Alcohol * Analgesics + Cocaine + 6_Races + Income) | ||||||||
Caucasian-American | 5.3 (3.63, 6.97) | 5.3E-10 | − 1329.42 | 1.8583 | phi | 0.1690 | 0.0037 | |
Asian-American | 0.63 (0.31, 0.95) | 1.3E-04 | Â | Â | psi | 0.1476 | 0.0018 | |
Hispanic-American | 0.54 (0.21, 0.86) | 0.0013 |  |  | rho | −0.4435 | 8.3E-04 | |
AIAN-American | −11.33 (−18.34, −4.32) | 0.0015 |  |  | lambda | 0.4234 | 9.1E-06 | |
Cannabis, 4 | Full model - 4 Lags - Just Lagging Cannabis | |||||||
spreml(Cancer_Rate ~ Cigarettes * Cannabis * Alcohol * Analgesics + Cocaine + 6_Races + Income) | ||||||||
Caucasian-American | 4.81 (2.92, 6.7) | 6.1E-07 | − 1130.71 | 1.8616 | phi | 0.2095 | 0.0031 | |
Asian-American | 0.67 (0.31, 1.03) | 0.0003 | Â | Â | psi | 0.1134 | 0.0356 | |
Hispanic-American | 0.55 (0.18, 0.92) | 0.0037 |  |  | rho | −0.5410 | 3.0E-05 | |
Cigarettes: Cannabis: Analgesics | 261.1 (19.06, 503.15) | 0.0345 | Â | Â | lambda | 0.4597 | 9.1E-07 | |
Cannabis: Analgesics | −107.34 (−193.09, −21.6) | 0.0141 |  |  |  |  |  | |
AIAN-American | −12.1 (− 19.56, −4.64) | 0.0015 |  |  |  |  |  | |
Cannabis, 6 | Full model - 6 Lags - Just Lagging Cannabis | |||||||
spreml(Cancer_Rate ~ Cigarettes * Cannabis * Alcohol * Analgesics + Cocaine + 6_Races + Income) | ||||||||
Caucasian-American | 7.54 (3.96, 11.12) | 3.6E-05 | −936.96 | 1.9697 | phi | 0.2705 | 0.0022 | |
Asian-American | 0.95 (0.34, 1.54) | 0.0020 | Â | Â | psi | 0.0992 | 0.1012 | |
Cannabis | 8.49 (1.47, 15.5) | 0.0177 | Â | Â | rho | 0.4222 | 0.0006 | |
Hispanic-American | 0.7 (0.11, 1.29) | 0.0202 |  |  | lambda | −0.4083 | 0.0059 | |
Cannabis: Analgesics | −47.05 (−79.05, −15.03) | 0.0040 |  |  |  |  |  | |
| Â | Full Model - 1 Temporal Lag | |||||||
spreml(Cancer_Rate ~ Cigarettes * Cannabis * Alcohol * Analgesics + Cocaine + 6_Races + Income) | ||||||||
Cigarettes, 1 | Caucasian-American | 5.42 (3.72, 7.12) | 4.6E-10 | − 1426.33 | 1.8466 | phi | 0.1684 | 0.0027 |
Alcohol, 1 | Asian-American | 0.67 (0.33, 1) | 0.0001 | Â | Â | psi | 0.1408 | 0.0016 |
Cannabis, 1 | Hispanic-American | 0.56 (0.22, 0.9) | 0.0014 |  |  | rho | −0.4380 | 0.0009 |
Analgesics, 1 | Cannabis | 7.88 (1.7, 14.06) | 0.0125 | Â | Â | lambda | 0.4226 | 1.2E-05 |
Cocaine, 1 | Cigarettes: Cannabis: Alcohol | 182.23 (29.55, 334.9) | 0.0193 | Â | Â | Â | Â | Â |
AIAN-American | −9.03 (−16.1, −1.96) | 0.0123 |  |  |  |  |  | |
Cannabis: Alcohol | − 114.28 (− 198.3, −30.27) | 0.0077 |  |  |  |  |  | |
| Â | Full Model - 2 Temporal Lags | |||||||
spreml(Cancer_Rate ~ Cigarettes * Cannabis * Alcohol * Analgesics + Cocaine + 6_Races + Income) | ||||||||
Cigarettes, 2 | Caucasian-American | 9.62 (6.82, 12.43) | 1.7E-11 | − 1317.36 | 1.8519 | phi | 0.1408 | 0.0083 |
Alcohol, 2 | Cigarettes: Cannabis: Alcohol | 658.72 (396.6, 920.84) | 8.4E-07 | Â | Â | psi | 0.1469 | 0.0018 |
Cannabis, 2 | Asian-American | 1.32 (0.75, 1.89) | 6.4E-06 | Â | Â | rho | 0.3276 | 0.0126 |
Analgesics, 2 | Alcohol: Analgesics | 306.67 (143.27, 470.07) | 0.0002 |  |  | lambda | −0.2888 | 0.0462 |
Cocaine, 2 | Hispanic-American | 0.69 (0.26, 1.12) | 0.0016 | Â | Â | Â | Â | Â |
Income | −2.15 (−4.22, −0.08) | 0.0415 |  |  |  |  |  | |
Cannabis: Alcohol: Analgesics | − 1810.02 (− 2618.86, − 1001.18) | 1.2E-05 |  |  |  |  |  | |
Cigarettes: Alcohol | − 133.02 (−184.5, −81.54) | 4.1E-07 |  |  |  |  |  | |
| Â | Full Model - 4 Temporal Lags | |||||||
spreml(Cancer_Rate ~ Cigarettes * Cannabis * Alcohol * Analgesics + Cocaine + 6_Races + Income) | ||||||||
Cigarettes, 4 | Caucasian-American | 5.25 (3.17, 7.33) | 7.6E-07 | − 1129.73 | 1.8795 | phi | 0.1863 | 0.0058 |
Alcohol, 4 | Cigarettes: Cannabis: Alcohol | 472.69 (145.49, 799.88) | 0.0046 | Â | Â | psi | 0.1341 | 0.0127 |
Cannabis, 4 | Asian-American | 0.56 (0.16, 0.95) | 0.0055 |  |  | rho | −0.4598 | 0.0040 |
Analgesics, 4 | Hispanic-American | 0.5 (0.13, 0.87) | 0.0085 | Â | Â | lambda | 0.4021 | 8.6E-04 |
Cocaine, 4 | Cigarettes: Alcohol: Analgesics | 603.85 (143.88, 1063.82) | 0.0101 | Â | Â | Â | Â | Â |
Cigarettes: Alcohol | −80.89 (−138.89, −22.89) | 0.0063 |  |  |  |  |  | |
AIAN-American | − 10.99 (− 18.8, −3.18) | 0.0058 |  |  |  |  |  | |
Cigarettes: Cannabis: Alcohol: Analgesics | − 3668.28 (− 6170.15, − 1166.42) | 0.0041 |  |  |  |  |  | |
Cigarettes, 6 | Full Model - 6 Temporal Lags | |||||||
spreml(Cancer_Rate ~ Cigarettes * Cannabis * Alcohol * Analgesics + Cocaine + 6_Races + Income) | ||||||||
Alcohol, 6 | Caucasian-American | 4.28 (2.17, 6.4) | 7.4E-05 | − 938.093 | 1.9015 | phi | 0.2238 | 0.0053 |
Cannabis, 6 | Asian-American | 0.5 (0.13, 0.87) | 0.0089 | Â | Â | psi | 0.1218 | 0.0448 |
Analgesics, 6 | Hispanic-American | 0.51 (0.12, 0.91) | 0.0115 |  |  | rho | − 0.5495 | 7.7E-05 |
Cocaine, 6 | AIAN-American | −11.64 (−19.61, −3.66) | 0.0042 |  |  | lambda | 0.5042 | 1.8E-07 |