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Table 2 Spatial panel random error maximum likelihood regression – final models

From: Co-occurrence across time and space of drug- and cannabinoid- exposure and adverse mental health outcomes in the National Survey of Drug Use and Health: combined geotemporospatial and causal inference analysis

General

Parameters

Model

Instrumental Variables

Parameter

Estimate (95%C.I.)

P-Value

Para-meters

Value

P-Value

 

Any Mental Illness

 

spreml (amiyr ~ Cigarettes * Cannabis * Alcohol_Abuse + Cocaine + Med_HH_Income + 5_Races)

NHWhite_Score

Alcohol_Abuse

−4.19 (− 5.02--3.36)

<  2.2e-16

phi

0.008

0.9908

NHBlack_Score

Cannabis: Alcohol_Abuse

1.96 (1.55–2.37)

<  2.2e-16

psi

0.4002

0.251

Hispanic_Score

Cannabis

−3.33 (−4.06--2.6)

<  2.2e-16

rho

−0.1507

0.3296

NHAsian_Score

Cigarettes: Alcohol_Abuse

0.15 (0.11–0.19)

<  2.2e-16

lambda

0.2336

0.0425

NHAIAN_Score

Cigarettes

−0.26 (−0.32--0.2)

4.00E-15

   
 

Cigarettes: Cannabis: Alcohol_Abuse

−0.07 (− 0.09--0.05)

2.70E-15

   
 

Cigarettes: Cannabis

0.12 (0.09–0.15)

1.20E-13

   
 

Caucasian-Amer.Pop_Fraction

0.09 (0.06–0.12)

1.00E-10

   
 

Median_Household_Income

−0.09 (− 0.12--0.06)

1.30E-06

   
 

Hispanic_Pop_Fraction

−0.01 (− 0.02–0)

0.0033

   
 

African-Amer._Pop_Fraction

−0.01 (− 0.02–0)

0.0062

   
 

Asian_Pop_Fraction

0.02 (0.01–0.03)

0.0131

   
 

Major Depressive Episode

 

spreml (mde ~ Cigarettes * Cannabis * Alcohol_Abuse + Cocaine + Med_HH_Income + 5_Races)

NHWhite_Score

Cannabis: Alcohol_Abuse

2.03 (1.54–2.52)

3.60E-16

phi

0.1573

0.9579

NHBlack_Score

Alcohol_Abuse

−4.14 (−5.14--3.14)

4.90E-16

psi

0.3124

0.8569

Hispanic_Score

Cannabis

−3.53 (− 4.41--2.65)

3.80E-15

rho

−0.3358

0.0325

NHAsian_Score

Cigarettes: Alcohol_Abuse

0.16 (0.12–0.2)

1.60E-12

lambda

0.3809

0.0002

NHAIAN_Score

Cigarettes: Cannabis: Alcohol_Abuse

−0.08 (−0.1--0.06)

1.90E-12

   
 

Cigarettes

−0.27 (− 0.35--0.19)

4.50E-12

   
 

Cigarettes: Cannabis

0.14 (0.1–0.18)

5.70E-12

   
 

Caucasian-Amer._Pop_Fraction

0.08 (0.05–0.11)

2.20E-08

   
 

Hispanic_Pop_Fraction

−0.02 (−0.03−−0.01)

0.0003

   
 

African-Amer._Pop_Fraction

−0.01 (− 0.02–0)

0.0025

   
 

AIAN_Pop_Fraction

-0.01 (−0.02–0)

0.0085

   
 

Median Household Income

−0.04 (− 0.07--0.01)

0.0312

   
 

Serious Mental Illness

 

spreml (smiyr ~ Cigarettes * Cannabis * Alcohol_Abuse + Cocaine + Med_HH_Income + 5_Races)

NHWhite_Score

Caucasian-Amer.

0.21 (0.17–0.25)

<  2.2e-16

phi

0.176

NA

NHBlack_Score

Median Household Income

−0.22 (−0.27--0.17)

<  2.2e-16

psi

0.153

NA

Hispanic_Score

Alcohol_Abuse

−4.55 (−5.69--3.41)

6.20E-15

rho

0.1311

0.2141

NHAsian_Score

Cannabis: Alcohol_Abuse

2.04 (1.48–2.6)

1.00E-12

lambda

0.0618

0.4449

NHAIAN_Score

Cannabis

−3.44 (−4.46--2.42)

3.40E-11

   
 

Cigarettes:Alcohol_Abuse

0.17 (0.12–0.22)

7.60E-11

   
 

Cigarettes

−0.27 (−0.36--0.18)

1.50E-09

   
 

Cigarettes: Cannabis: Alcohol_Abuse

−0.08 (− 0.11--0.05)

2.90E-09

   
 

Cigarettes: Cannabis

0.13 (0.08–0.18)

2.00E-08

   
 

African-Amer._Pop_Fraction

−0.02 (−0.03--0.01)

9.30E-06

   
 

Hispanic_Pop_Fraction

−0.02 (− 0.03--0.01)

0.005

   
 

Asian_Pop_Fraction

0.02 (0–0.04)

0.0089

   
 

Suicidal Thoughts Past Year

 

spreml (suithyr ~ Cigarettes * Cannabis * Alcohol_Abuse + Cocaine + Med_HH_Income + 5_Races)

NHWhite_Score

Alcohol_Abuse

−4.36 (−5.33--3.39)

<  2.2e-16

phi

0.0225

0.9737

NHBlack_Score

Cannabis: Alcohol_Abuse

1.99 (1.52–2.46)

<  2.2e-16

psi

0.1854

0.726

Hispanic_Score

Cannabis

−3.4 (−4.26--2.54)

1.05E-14

rho

−0.1314

0.2451

NHAsian_Score

Cigarettes: Alcohol_Abuse

0.16 (0.12–0.2)

6.72E-13

lambda

0.2824

0.0005

NHAIAN_Score

Cigarettes

−0.26 (− 0.34--0.18)

8.28E-12

   
 

Cigarettes: Cannabis: Alcohol_Abuse

−0.07 (− 0.09--0.05)

8.14E-11

   
 

Cigarettes: Cannabis

0.12 (0.08–0.16)

7.25E-10

   
 

Hispanic_Pop_Fraction

−0.02 (−0.03--0.01)

5.53E-08

   
 

African-Amer._Pop_Fraction

−0.02 (− 0.03--0.01)

2.89E-07

   
 

Caucasian-Amer._Pop_Fraction

0.07 (0.04–0.1)

1.12E-06

   
 

Asian_Pop_Fraction

0.03 (0.02–0.04)

1.03E-05

   
 

Median Household Income

−0.08 (−0.12--0.04)

5.70E-05

   
  1. Abbreviations
  2. 5_Races: Caucasian-American, African-American, Hispanic-American, Asian-American, NHAIAN
  3. Technical Notes:
  4. phi:- Idiosyncratic component of the spatial error term
  5. psi:- Individual time-invariant component of the spatial error term
  6. rho:- Spatial autoregressive parameter
  7. lambda:- Spatial autocorrelation coefficient