Table 4 Results of geospatial interactive regression by selected congenital anomalies combined spatial error and spatial lag (SARAR) models

 Cannabis

0.04 (0.01, 0.07)

0.0078

phi

0.0706

NA

psi

4.4E-05

0.9999

rho

0.0373

0.9400

lambda

−0.8526

0.0291

 Tobacco: Cannabis

0.01 (0, 0.02)

0.0142

phi

0.0380

0.9971

 Tobacco: Binge_Alcohol: Cannabis

0 (−0.01, 0)

0.0236

psi

2.1E-05

0.9999

rho

−0.9999

0.0256

lambda

0.5894

0.0866

 Cannabis

0.06 (0.01, 0.11)

0.0269

phi

0.0135

0.9994

psi

1.4E-05

1.0000

rho

0.6731

0.0333

lambda

−0.7513

0.0436

 Binge_Alcohol: Cannabis

0.03 (0.01, 0.04)

3.1E-05

phi

0.0158

NA

 Binge_Alcohol

−2.33 (−3.69, − 0.97)

0.0008

psi

−2.8E-05

0.9999

rho

−0.7121

0.1372

lambda

0.0716

0.8688

 Cannabis

0.07 (0.02, 0.11)

0.0029

phi

0.0116

0.9996

psi

−2.6E-05

0.9999

rho

−0.2004

0.7327

lambda

−0.0568

0.9039

 Tobacco: Cannabis

−0.12 (− 0.2, − 0.04)

0.0035

phi

0.2455

NA

 Tobacco: Binge_Alcohol: Cannabis

0.03 (0.01, 0.06)

0.0050

psi

−0.0002

0.9994

 Tobacco: Binge_Alcohol

−0.33 (− 0.61, − 0.06)

0.0184

rho

0.0263

0.9544

 Tobacco

1.09 (0.17, 2.01)

0.0201

lambda

−0.4710

0.1431

 Cannabis

0.26 (0.04, 0.49)

0.0208

phi

0.0100

0.9992

 Binge_Alcohol: Cannabis

−0.07 (− 0.13, − 0.01)

0.0339

psi

1.7E-07

1.0000

rho

−0.4196

0.5496

lambda

−0.8473

0.1166

 Cannabis

0.08 (0.04, 0.13)

0.0005

phi

0.1269

NA

psi

−5.2E-05

0.9998

rho

0.5305

0.1006

lambda

−0.3621

0.4032

 Cannabis

0.05 (0, 0.1)

0.0370

phi

0.0105

0.9993

 Tobacco: Cannabis

0 (0, 0)

0.0420

psi

4.3E-06

1.0000

rho

−0.9997

0.0360

lambda

−0.2285

0.6320