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Table 10 Lagged geospatiotemporal regression models

From: Cannabinoid exposure as a major driver of pediatric acute lymphoid Leukaemia rates across the USA: combined geospatial, multiple imputation and causal inference study

Lagged Variables

Parameter

Model

Parameter

Estimate (C.I.)

P-Value

LogLik

S.D.

Model Parameter

Estimate

P-Value

Spatial Lagging - 1 Spatial Lag

     

spreml (ALL_Rate ~ Cigarettes * THC* Cannabigerol + AUD + Analgesics + Cocaine + Income + 5_Races)

CBG, 1

Hispanic

0.19 (0.14, 0.25)

3.8E-11

− 161.6159

N/A

rho

0.3329

0.0005

Asian

0.15 (0.07, 0.23)

0.0003

  

lambda

−0.3858

0.0002

THC

0.47 (0.12, 0.82)

0.0083

     

Income

−0.43 (−0.72, − 0.13)

0.0045

     

Cigarettes: THC: Cannabigerol

− 2.67 (− 3.97, − 1.37)

5.9E-05

     

Cigarettes: THC

−11.45 (− 16.99, − 5.9)

5.2E-05

     

African-Am.

− 0.18 (− 0.22, − 0.14)

2.3E-16

     

Spatial Lagging - 2 Spatial Lags

     

spreml (ALL_Rate ~ Cigarettes * THC* Cannabigerol + AUD + Analgesics + Cocaine + Income + 5_Races)

CBG, 2

Hispanic

0.21 (0.15, 0.27)

3.0E-12

−162.0804

N/A

rho

0.2875

0.0065

Asian

0.14 (0.06, 0.22)

0.0006

  

lambda

− 0.3379

0.0024

Cannabigerol

0.80 (0.16, 1.43)

0.0140

     

Cigarettes

−10.92 (−21.53, −0.3)

0.0439

     

Cigarettes: Cannabigerol

− 3.42 (−6.41, − 0.42)

0.0253

     

Income

−0.37 (− 0.69, − 0.05)

0.0252

     

Cigarettes: THC

−8.23 (−13.46, − 3.01)

0.0020

     

Cigarettes: THC: Cannabigerol

− 2.35 (− 3.82, − 0.89)

0.0016

     

African-Am.

− 0.17 (− 0.21, − 0.13)

7.3E-15

     

Temporal Lagging - 1 Lag

     

spreml (ALL_Rate ~ Cigarettes * THC* Cannabigerol + AUD + Analgesics + Cocaine + Income + 5_Races)

CBG, 1

Hispanic

0.22 (0.15, 0.29)

1.1E-09

− 139.8349

N/A

psi

0.0981

0.0430

Cannabigerol

0.82 (0.25, 1.39)

0.0046

  

rho

0.1312

0.4054

Asian

0.12 (0.03, 0.2)

0.0093

  

lambda

−0.2103

0.1734

AIAN

−2.2 (−4.08, −0.32)

0.0217

     

Cigarettes

−12.59 (−22.78, − 2.39)

0.0155

     

Cigarettes: Cannabigerol

−3.73 (−6.58, −0.89)

0.0101

     

Income

−0.46 (− 0.81, − 0.11)

0.0099

     

Cigarettes: THC

−6.13 (−9.34, − 2.93)

0.0002

     

Cigarettes: THC: Cannabigerol

−1.73 (− 2.61, − 0.86)

9.7E-05

     

African-Am.

−0.2 (− 0.24, − 0.15)

< 2.2E-16

     

Temporal Lagging - 2 Lags

     

spreml (ALL_Rate ~ Cigarettes * THC* Cannabigerol + AUD + Analgesics + Cocaine + Income + 5_Races)

CBG, 2

Hispanic

0.18 (0.12, 0.24)

2.0E-09

−132.1090

N/A

rho

0.2545

0.0368

Asian

0.16 (0.07, 0.24)

0.0003

  

lambda

−0.2987

0.0169

Cigarettes: THC

−3.05 (−5.82, −0.28)

0.0308

     

Cigarettes: THC: Cannabigerol

−0.86 (−1.61, − 0.12)

0.0226

     

Income

−0.51 (− 0.81, − 0.21)

0.0010

     

African-Am.

− 0.18 (− 0.22, − 0.14)

6.9E-16

     
  1. Technical Notes:
  2. phi: - Idiosyncratic component of the spatial error term
  3. psi: - Individual time-invariant component of the spatial error term
  4. rho: - Spatial autoregressive parameter
  5. lambda: - Spatial autocorrelation coefficient