. 2024 Mar 27;24:355. doi: 10.1186/s12879-024-09243-x

Table 2.

Results of the Box-Ljung test for fitting series, the augmented Dickey-Fuller test for fitting series, the Box-Ljung test for fitting residuals, and the Kolmogorov–Smirnov test for fitting residuals (with raw data from 2013 to 2018)

			SARIMA	Holt-Winters	NNAR
Fitting series	Box-Ljung test (df = 24)	χ²	309.47	278.12	243.01
	Box-Ljung test (df = 24)	p	< 0.001	< 0.001	< 0.001
	augmented Dickey–Fuller test (lag order = 4)	D-F	-5.78	-4.92	-5.17
	augmented Dickey–Fuller test (lag order = 4)	p	< 0.01	< 0.01	< 0.01
Fitting residuals	Box-Ljung test (df = 24)	χ²	34.05	30.57	23.54
	Box-Ljung test (df = 24)	p	0.0838	0.1665	0.488
	Kolmogorov–Smirnov test	D	0.1352	0.0942	0.0676
	Kolmogorov–Smirnov test	p	0.1437	0.6269	0.9296

χ², D-F and D: the test statistic; p p-value