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Table 5 MAE and MAPE in different models for the whole dataset and for each quintile of the outcome variables

From: Economic development and road traffic injuries and fatalities in Thailand: an application of spatial panel data analysis, 2012–2016

Data

Models

All cases

Deaths

Case fatality rate

MAE

MAPE

RMSE

MAE

MAPE

RMSE

MAE

MAPE

RMSE

All data

Negative binomial regression without random effects

99.5

22.6

127.3

5.8

19.6

7.5

0.02

28.6

0.03

Negative binomial regression with random effects

112.1

24.9

150.4

6.2

20.9

7.9

0.02

31.6

0.03

SDM

25.3

5.3

33.0

3.9

8.6

4.0

0.01

8.6

0.01

1st quintile

Negative binomial regression without random effects

118,1

44.7

139.8

4.3

18.4

6.5

0.02

58.2

0.03

Negative binomial regression with random effects

106.7

38.5

128.3

4.8

20.6

7.1

0.02

62.4

0.03

SDM

16.9

6.1

20.5

2.2

7.7

2.8

< 0.01

9.9

< 0.01

2nd quintile

Negative binomial regression without random effects

81.9

21.2

109.4

5.9

20.5

7.6

0.01

22.2

0.02

Negative binomial regression with random effects

113.9

29.1

162.9

6.9

23.0

8.4

0.02

32.0

0.02

SDM

21.1

5.4

26.9

3.0

7.8

3.8

< 0.01

8.2

0.01

3rd quintile

Negative binomial regression without random effects

70.2

14.5

87.0

6.6

24.8

7.8

0.01

17.9

0.02

Negative binomial regression with random effects

95.3

19.8

131.9

7.0

26.7

8.4

0.02

19.9

0.02

SDM

23.5

4.9

31.0

3.1

8.7

4.2

0.01

7.8

0.01

4th quintile

Negative binomial regression without random effects

82.0

14.3

103.9

6.6

19.9

8.4

0.01

13.4

0.02

Negative binomial regression with random effects

117.9

20.6

150.5

7.1

21.2

8.7

.0.01

12.2

0.02

SDM

29.7

5.2

38.4

3.1

9.1

4.6

0.01

8.1

0.01

5th quintile

Negative binomial regression without random effects

145.5

18.5

176.7

5.4

14.5

7.2

0.04

31.5

0.05

Negative binomial regression with random effects

126.7

16.8

173.3

4.9

12.9

6.6

0.04

31.4

0.05

SDM

35.4

4.8

43.0

3.6

9.5

4.2

0.01

8.9

0.01

  1. SDM Spatial Durbin model, MAE Mean absolute error, MAPE Mean absolute percentage error, RMSE Root mean square error