Model 1

Model 2

Model 3

Model 4

β

(SE)

p value

β

(SE)

p value

β

(SE)

p value

β

(SE)

p value

CHD, %

Fixed Effects

Intercept

28.21

(0.67)

<0.001

25.23

(0.84)

<0.001

24.95

(0.81)

<0.001

21.34

(1.13)

<0.001

PM2.5 μg/m3

0.36

(0.07)

<0.001

0.38

(0.09)

<0.001

0.49

(0.09)

<0.001

Random Effects

Level 1

16.52

(0.73)

<0.001

16.28

(0.73)

<0.001

15.95

(0.72)

<0.001

15.61

(0.71)

<0.001

Intercept(State)

20.89

(4.51)

<0.001

16.82

(3.75)

<0.001

11.85

(3.99)

0.002

10.74

(3.89)

0.003

Slope (PM2.5)

0.09

(0.05)

0.022

0.10

(0.05)

0.015

Model Fit Statistics

AIC

6227.30

6102.70

6097.10

6088.50

BIC

6231.20

6106.50

6102.80

6094.20

Stroke, %

Fixed Effects

Intercept

3.66

(0.10)

<0.001

2.83

(0.13)

<0.001

2.70

(0.12)

<0.001

3.07

(0.16)

<0.001

PM2.5 μg/m3

0.10

(0.01)

<0.001

0.11

(0.01)

<0.001

0.08

(0.01)

<0.001

Random Effects

Level 1

0.42

(0.02)

<0.001

0.39

(0.02)

<0.001

0.37

(0.02)

<0.001

0.34

(0.02)

<0.001

Intercept (State)

0.49

(0.11)

<0.001

0.35

(0.08)

<0.001

0.19

(0.08)

0.011

0.18

(0.07)

0.007

Slope (PM2.5)

0.00

(0.00)

0.001

0.00

(0.00)

0.003

Model Fit Statistics

AIC

2246.40

2126.70

2103.50

2039.00

BIC

2250.20

2130.50

2109.20

2044.80

Diabetes, %

Fixed Effects

Intercept

25.58

(0.50)

<0.001

21.68

(0.63)

<.0001

21.87

(0.64)

<0.001

20.86

(0.85)

<0.001

PM2.5 μg/m3

0.47

(0.06)

<.0001

0.44

(0.07)

<0.001

0.33

(0.06)

<0.001

Random Effects

Level 1

11.71

(0.52)

<0.001

11.02

(0.49)

<.0001

10.79

(0.49)

<0.001

8.46

(0.39)

<0.001

Intercept (State)

11.28

(2.47)

<0.001

7.75

(1.80)

<.0001

7.48

(2.10)

0.000

7.82

(2.03)

<0.001

Slope (PM2.5)

0.03

(0.02)

0.053

0.02

(0.02)

0.101

Model Fit Statistics

AIC

5845.20

5673.90

5670.60

5437.30

BIC

5849.00

5677.70

5676.30

5443.00