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Table 2 Results of geospatial interactive regression by selected congenital anomalies spatial error models

From: Broad Spectrum epidemiological contribution of cannabis and other substances to the teratological profile of northern New South Wales: geospatial and causal inference analysis

Parameters Model
Parameter Estimate (C.I.) P-Value Parameters Value P-Value
ADDITIVE MODELS
spreml(log(Atrial_Septal_Defects) ~ DlyCigs11 + log(RiskAlc11) + Cannabis)
  Atrial Septal Defect
   Cannabis 0.03 (0.00, 0.06) 0.0305 phi 1.01E-02 NA
   psi −3.13E-06 0.9999
   rho −7.64E-01 0.9400
  CHROMOSOMAL Defects
   Cannabis 0.04 (0.01, 0.07) 0.0212 phi 1.05E-02 NA
   psi 2.99E-06 1
   rho −4.66E-01 0.2291
  Downs Syndrome
   Cannabis 0.09 (0.05, 0.13) 2.9E-05 phi 5.57E-02 NA
   Binge_Alcohol −2.02 (−3.35, − 0.69) 0.0029 psi 3.57E-05 0.9999
   rho −6.85E-01 0.0883
  Gastroschisis
   Cannabis 0.07 (0.03, 0.11) 0.0030 phi 1.44E-02 NA
   psi 1.78E-05 0.9999
   rho −2.50E-01 0.552
  Hypospadias
   Cannabis −0.07 (−0.13, −0.01) 0.0166 phi 0.0419 0.9972
   psi 3.0E-05 0.9999
   rho −0.6292 0.1224
  Patent Ductus Arteriosus
   Cannabis 0.03 (0.01, 0.05) 0.0453 phi 1.01E-02 NA
   psi −9.20E-06 1.0000
   rho −1.0E+ 00 0.0025
  Small Intestinal Stenosis / Atresia
   Cannabis 0.07 (0.03, 0.11) 0.0001 phi 1.09E-02 NA
   psi 6.74E-05 0.9998
   rho −1.15E-02 0.9776
  Tetralogy Fallot
   Cannabis 0.09 (0.04, 0.14) 0.0007 phi 1.10E-01 0.9963
   psi 5.67E-05 0.9998
   rho 3.07E-01 0.3382
INTERACTIVE MODELS
spreml(Atrial_Septal_Defects ~ Tobacco * Binge_Alcohol * Cannabis)
  Atrial_Septal_Defect
   Binge_Alcohol: Cannabis −0.58 (−1.12, − 0.04) 0.0376 phi 0.0101 NA
   Tobacco: Binge_Alcohol: Cannabis 0.03 (0, 0.06) 0.0417 psi 9.1E-08 1.0000
   Tobacco: Cannabis −0.09 (− 0.18, 0) 0.0423 rho −0.9960 0.0037
  CHROMOSOMAL_Defects
   Tobacco: Binge_Alcohol: Cannabis −0.01 (− 0.01, − 0.01) 0.0007 phi 0.0890 NA
   Binge_Alcohol: Cannabis 0.05 (0.02, 0.08) 0.0021 psi 2.2E-05 0.9999
   Tobacco: Cannabis 0.02 (0.01, 0.03) 0.0047 rho −0.9805 0.0058
   Tobacco: Binge_Alcohol 0.02 (0, 0.04) 0.0184    
  Diaphragmatic_Hernia
   Cannabis 7.26 (3.21, 11.31) 0.0004 phi 0.0095 0.9964
   Binge_Alcohol 7.33 (3.15, 11.51) 0.0006 psi −1.7E-07 1.0000
   Binge_Alcohol: Cannabis −2.07 (−3.26, − 0.88) 0.0006 rho 0.9660 <2e-16
   Tobacco: Cannabis −0.22 (− 0.37, − 0.07) 0.0041    
   Tobacco: Binge_Alcohol: Cannabis 0.06 (0.02, 0.1) 0.0051    
   Tobacco 0.17 (0.04, 0.3) 0.0091    
  Downs Syndrome
   Binge_Alcohol: Cannabis 0.03 (0.02, 0.04) 3.4E-05 phi 0.0571 NA
   Binge_Alcohol −2.33 (−3.7, −0.96) 0.0008 psi 3.6E-05 0.9998
   rho −0.6662 0.0626
  Gastroschisis
   Cannabis 0.07 (0.03, 0.11) 0.0030 phi 0.0144 NA
   psi 1.8E-05 0.9999
   rho −0.2503 0.5520
  Hypospadias
   Tobacco: Cannabis −0.13 (− 0.22, − 0.04) 0.0062 phi 0.0027 NA
   Tobacco: Binge_Alcohol: Cannabis 0.04 (0.01, 0.07) 0.0084 psi 4.3E-05 0.9999
   Tobacco: Binge_Alcohol −0.35 (− 0.66, − 0.04) 0.0266 rho −0.2080 0.6705
   Tobacco 1.13 (0.11, 2.15) 0.0304    
  Patent_Ductus_Arteriosus
   Cannabis 0.24 (0.01, 0.47) 0.0358 phi 0.0109 NA
   Binge_Alcohol: Cannabis −0.06 (−0.12, 0) 0.0526 psi 1.8E-06 1.0000
   rho −0.9998 0.0022
  Small Intestinal Stenosis / Atresia
   Cannabis 0.02 (0.01, 0.03) 0.0003 phi 0.0100 NA
   psi 1.3E-07 1.0000
   rho −0.0089 0.9825
  Tetralogy_Fallot
   Cannabis 0.09 (0.04, 0.14) 0.0007 phi 0.1102 0.9963
   psi 5.7E-05 0.9998
   rho 0.3074 0.3382
  Ventricular_Septal_Defect
   Tobacco: Cannabis −0.11 (− 0.21, − 0.01) 0.0328 phi 0.4947 NA
   Tobacco: Binge_Alcohol: Cannabis 0.03 (0, 0.06) 0.0372 psi 1.2E-04 0.9997
   Cannabis 2.93 (− 0.23, 6.09) 0.0692 rho −1.0000 0.0306
   Binge_Alcohol: Cannabis −0.85 (−1.79, 0.09) 0.0750    
  1. Technical Abbreviations: phi Idiosyncratic component of the spatial error termpsi: individual time-invariant component of the spatial error termrho: spatial autoregressive parameter, lambda: spatial autocorrelation coefficient