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Table 9 Spatially- and Temporally- Lagged Spatiotemporal Models

From: A geospatiotemporal and causal inference epidemiological exploration of substance and cannabinoid exposure as drivers of rising US pediatric cancer rates

Lagged Variables

Parameter

Model

Parameter

Estimate (C.I.)

P-Value

LogLik

S.D.

Model Parameter

Estimate

P-Value

 

Full Model - 1 Spatial & 1 Temporal Lag

spreml(Cancer_Rate ~ Cigarettes * Cannabis * Alcohol * Analgesics + Cocaine + 6_Races + Income)

   

Cigarettes, 1

Caucasian-American

4.49 (2.56, 6.41)

4.9E-06

− 1422.64

1.8639

phi

0.1534

0.0041

Alcohol, 1

Hispanic-American

0.61 (0.26, 0.96)

0.0006

  

psi

0.1284

0.0043

Cannabis, Sp1

Cannabis: Analgesics

110.36 (37.53, 183.19)

0.0030

  

rho

−0.3379

0.0408

Analgesics, 1

Cigarettes: Cannabis: Alcohol

1688.83 (336.9, 3040.77)

0.0143

  

lambda

0.3229

0.0134

Cocaine, 1

Asian-American

0.46 (0.09, 0.83)

0.0146

     

Cannabis: Alcohol: Analgesics

− 885.51 (− 1625.8, − 145.21)

0.0191

     

AIAN-American

−10.01 (−17.08, −2.94)

0.0055

     

Analgesics

−18.96 (−29.31, − 8.61)

0.0003

     
 

Full Model - 2 Spatial & 2 Temporal Lags

spreml(Cancer_Rate ~ Cigarettes * Cannabis * Alcohol * Analgesics + Cocaine + 6_Races + Income)

Cigarettes, 2

Caucasian-American

8.03 (5.67, 10.39)

2.6E-11

− 1319.97

1.8579

phi

0.0990

0.0324

Alcohol, 2

Asian-American

1.02 (0.53, 1.51)

5.2E-05

  

psi

0.1426

0.0032

Cannabis, Sp2

Hispanic-American

0.66 (0.33, 0.99)

9.0E-05

  

rho

−0.2287

0.3086

Analgesics, 2

Analgesics

55.5 (26.18, 84.81)

0.0002

  

lambda

0.2307

0.2080

Cocaine, 2

Cigarettes: Cannabis: Alcohol: Analgesics

3954.04 (1565.01, 6343.08)

0.0012

     

Cocaine

15.51 (1.58, 29.44)

0.0291

     

Cigarettes: Cannabis: Analgesics

− 749.24 (− 1219.42, − 279.07)

0.0018

     

Alcohol: Analgesics

−377.69 (−553.03, − 202.35)

2.4E-05

     
 

Full Model - 4 Spatial & Temporal Lags

spreml(Cancer_Rate ~ Cigarettes * Cannabis * Alcohol * Analgesics + Cocaine + 6_Races + Income)

Cigarettes, 4

Caucasian-American

5.18 (3.29, 7.07)

7.7E-08

− 1133.35

1.8790

phi

0.1850

0.0049

Alcohol, 4

Asian-American

0.59 (0.25, 0.93)

0.0008

  

psi

0.1286

0.0176

Cannabis, Sp4

Hispanic-American

0.52 (0.16, 0.87)

0.0045

  

rho

−0.4868

0.0004

Analgesics, 4

Alcohol: Analgesics

−27.25 (−54.07, − 0.43)

0.0464

  

lambda

0.4290

2.5E-05

Cocaine, 4

AIAN-American

−10.96 (−18.4, −3.51)

0.0039

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