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Table 2 Model accuracies in terms of absolute percentage errors

From: Forecasting daily emergency department arrivals using high-dimensional multivariate data: a feature selection approach

 

Mean

Standard deviation

Median

Max

Differs from SN (p)

Worse than best (p)

Naive

8.4

6.4

6.9

36.4

1.00

 < 0.001

ARIMAX-A

8.4

6.2

6.9

33.7

1.00

 < 0.001

RLS-U

8.3

6.2

7.1

37.7

1.00

 < 0.001

SNaive

8.2

6.6

6.6

41.8

 

 < 0.001

ARIMAX-SA

8.0

6.5

6.5

39.0

1.00

 < 0.001

RF-FS

8.0

5.9

6.6

33.5

1.00

0.002

LMS-FS

7.8

5.9

6.5

32.6

0.98

0.007

RF-SA

7.7

5.7

6.5

28.5

0.72

0.035

RF-U

7.5

5.7

6.1

33.2

0.42

0.10

RF-A

7.4

5.7

6.4

36.6

0.22

0.22

LMS-A

7.3

5.6

6.3

34.3

0.16

0.30

ARIMAX-FS

7.3

5.9

5.9

36.2

0.12

0.37

LMS-SA

7.2

5.5

6.1

31.6

0.07

0.53

RLS-A

7.2

5.5

6.4

39.3

0.048

0.64

ARIMA

7.1

5.5

5.7

29.5

0.019

0.86

LMS-U

7.0

5.3

5.8

30.7

0.011

0.95

RLS-SA

6.9

5.1

5.9

24.6

0.003

1.00

RLS-FS

6.9

5.2

5.9

30.1

0.002

1.00

ARIMAX-W

6.6

5.3

5.3

31.7

 < 0.001

 
  1. ARIMA autoregressive integrated moving average, ARIMAX regression with ARIMA errors, RLS recursive least squares, RF random forest, LMS least mean squares, SA simulated annealing, FS floating search, SNaive = seasonal naïve, A all features, U univariate, W Whitt’s features. Statistical significance is calculated using two-tailed ANOVA with Dunnet’s post hoc test for multiple comparisons