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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