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. 2022 Jan 13;2022:3163854. doi: 10.1155/2022/3163854

Table 4.

The goodness-of-fit criteria of the ARIMA model (Box-Jenkins).

Country Model statistics Ljung-Box (Q18)
Model type Stationary R2 R 2 RMSE MAPE MAE MaxAPE Normalized BIC Statistics DF P
United Kingdom New cases
ARIMA (3,1,14)
0.134 0.971 2505.822 25.390 1194.057 1912.005 15.750 29.110 12 0.004
Death cases
ARIMA (3,0,4)
0.860 0.860 141.294 60.955 81.110 1350.324 10.014 413.202 11 ≤0.001

South Africa New cases
ARIMA (0,1,11)
0.337 0.952 1074.397 28.867 607.300 1244.993 14.044 108.426 13 ≤0.001
Death cases
ARIMA (0,1,4)
0.205 0.784 74.721 46.651 39.896 550.064 8.661 211.774 16 ≤0.001

Brazil New cases
ARIMA (1,0,10)
0.712 0.712 10715.299 32.958 7390.316 252.310 18.627 218.426 14 ≤0.001
Death cases
ARIMA (1,0,7)
0.705 0.705 233.234 30.343 163.986 185.523 11.007 186.154 12 ≤0.001

Nigeria New cases
ARIMA (1,1,14)
0.412 0.877 146.608 36.186 90.432 480.824 10.044 19.850 14 0.135
Death cases
ARIMA (Brown)
0.804 0.443 3.938 80.946 2.566 1267.098 2.758 19.427 17 0.305