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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