Parameter | Model | ||||||
---|---|---|---|---|---|---|---|
Parameter | Estimate (C.I.) | P-Value | LogLik | S.D. | Model Parameter | Estimate | P-Value |
Additive Model | |||||||
 spreml(Cancer_Rate ~ Cigarettes + Cannabis + Alcohol + Analgesics + Cocaine) | |||||||
  Cannabis | 5.16 (2.26, 8.06) | 0.0005 | − 1541.00 | 1.9451 | phi | 0.3170 | 0.0002 |
  Analgesics | − 4.6 (−9.18, − 0.02) | 0.0490 |  |  | psi | 0.1480 | 0.0007 |
  Cigarettes | −2.72 (−4.85, −0.59) | 0.0124 |  |  | rho | −0.4959 | 2.2E-05 |
 |  |  |  |  | lambda | 0.4598 | 8.2E-08 |
3-Way Interactive model | |||||||
 spreml(Cancer_Rate ~ Cigarettes * Cannabis * Alcohol + Analgesics + Cocaine) | |||||||
  Cannabis | 20.68 (7.02, 34.33) | 0.0030 | −1541.24 | 1.9495 | phi | 0.3466 | 0.0002 |
  Cigarettes: Alcohol | 48.6 (2.75, 94.46) | 0.0378 |  |  | psi | 0.1488 | 0.0006 |
  Cigarettes: Cannabis | −46.18 (−84.76, −7.6) | 0.0190 |  |  | rho | −0.5248 | 2.4E-06 |
  Alcohol | −25.69 (−44.01, −7.37) | 0.0060 |  |  | lambda | 0.4837 | 1.3E-09 |
4-Way Interactive model | |||||||
 spreml(Cancer_Rate ~ Cigarettes * Cannabis * Alcohol * Analgesics + Cocaine) | phi | 0.3169 | 0.0002 | ||||
  Cannabis | 5.42 (2.34, 8.5) | 0.0006 | − 1540.34 | 1.9470 | psi | 0.1479 | 0.0007 |
  Alcohol | −8.18 (−14.61, −1.74) | 0.0128 |  |  | rho | −0.4896 | 3.1E-05 |
  Cigarettes: Analgesics | −31.81 (−56.07, −7.54) | 0.0102 |  |  | lambda | 0.4514 | 2.1E-07 |
Interactive Full Model - 0 Lags | |||||||
 spreml(Cancer_Rate ~ Cigarettes * Cannabis * Alcohol * Analgesics + Cocaine + 6_Races + Income) | |||||||
  Cigarettes | 28.41 (12.48, 44.34) | 0.0005 | − 1520.55 | 1.8458 | phi | 0.1709 | 0.0017 |
  Cannabis | 45.67 (18.77, 72.56) | 0.0009 |  |  | psi | 0.1079 | 0.0138 |
  White | 5.24 (3.38, 7.1) | 0.0000 |  |  | rho | −0.4106 | 0.0029 |
  Cigarettes: Cannabis: Alcohol | 840.86 (416.29, 1265.44) | 0.0001 |  |  | lambda | 0.3643 | 0.0006 |
  Alcohol: Analgesics | 638.1 (283.09, 993.12) | 0.0004 |  |  |  |  |  |
  Asian-American | 0.6 (0.23, 0.97) | 0.0015 |  |  |  |  |  |
  Hispanic-American | 0.45 (0.11, 0.79) | 0.0089 |  |  |  |  |  |
  Cigarettes: Cannabis: Analgesics | 966.38 (184.69, 1748.06) | 0.0154 |  |  |  |  |  |
  AIAN-American | −8.3 (−15.42, −1.18) | 0.0224 |  |  |  |  |  |
  Cigarettes: Analgesics | −240.1 (−391.42, − 88.77) | 0.0019 |  |  |  |  |  |
  Cannabis: Alcohol: Analgesics | − 2613.19 (− 4248.03, − 978.35) | 0.0017 |  |  |  |  |  |
  Cigarettes: Cannabis | − 235.06 (− 381.19, −88.92) | 0.0016 |  |  |  |  |  |
  Alcohol | −79.04 (− 114.93, − 43.14) | 1.6E-05 |  |  |  |  |  |