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Table 3 Accuracy evaluation of ARIMA, SARIMA and Prophet on fitting and forecasting COVID-19 in USA, Brazil and India

From: Prediction and analysis of COVID-19 daily new cases and cumulative cases: times series forecasting and machine learning models

 

County

Model

Model fitting

 

Model forecasting

 

R2

RMSE

MAE

MAPE

 

R2

RMSE

MAE

MAPE

New Cases

USA

SARIMA

0.942

14,850.734

7877.085

58.421

 

0.376

100,008.409

67,381.862

10.022

Prophet

0.950

13,437.603

7118.961

59.665

 

0.485

67,842.843

50,774.029

10.672

Brazil

SARIMA

0.821

10,145.700

5661.420

101.147

 

0.277

2998.022

2490.761

18.477

Prophet

0.850

9305.905

4819.421

84.732

 

0.185

5432.666

4593.246

36.437

India

SARIMA

0.997

5807.807

2847.320

30.662

 

0.254

1648.759

975.779

3.371

Prophet

0.997

4073.903

2331.656

29.744

 

0.244

2697.648

2324.177

8.747

Cumulative Cases

USA

ARIMA

1.000

17,702.819

10,404.341

0.431

 

0.972

1,149,640.000

903,809.070

0.530

Prophet

0.745

10,616,818.000

7,862,825.100

242.943

 

0.084

982,545.500

623,199.520

0.362

Brazil

ARIMA

1.000

13,046.465

8325.811

1.099

 

0.949

53,256.662

38,376.992

0.052

Prophet

1.000

46,232.061

30,472.587

2.072

 

0.885

985,393.238

784,833.600

1.060

India

ARIMA

1.000

7057.269

4189.751

0.439

 

0.999

10,525.591

9883.822

0.009

Prophet

1.000

43,676.607

26,233.945

1.430

 

0.880

390,438.575

263,797.980

0.228

  1. The R2-value of 1.0 on the graph means that the correlation coefficient is greater than 0.9995, approximately 1.0