Table 3 Descriptive statistics of DEA...

Table 3

Descriptive statistics of DEA efficiency scores – general sample

		Mean (%)	Median (%)	SD (%)	Min (%)	Max (%)
European Union
Model 1	2018	10.57	8.62	10.21	0.00	100.00
	2017	12.77	10.90	9.83	0.00	100.00
	2016	10.78	8.98	9.65	0.06	100.00
	2015	11.27	9.27	9.78	0.05	100.00
	2014	11.50	9.60	9.55	0.09	100.00
	2013	10.05	8.35	8.87	0.22	100.00
Model 2	2018	9.23	7.94	6.94	0.00	83.42
	2017	11.29	10.23	7.15	0.00	85.90
	2016	9.46	8.43	6.48	0.04	79.71
	2015	9.92	8.71	6.72	0.03	81.27
	2014	10.22	9.02	6.52	0.06	76.89
	2013	9.08	7.80	11.82	0.16	432.20
Eurozone
Model 1	2018	10.61	8.66	9.93	0.01	100.00
	2017	13.18	11.58	9.59	0.00	100.00
	2016	10.67	8.98	9.51	0.08	100.00
	2015	11.11	9.22	9.66	0.05	100.00
	2014	11.31	9.56	9.45	0.09	100.00
	2013	9.94	8.30	8.96	0.22	100.00
Model 2	2018	9.41	8.00	6.89	0.00	84.04
	2017	11.09	10.54	10.52	0.00	80.93
	2016	9.39	8.43	6.38	0.05	79.45
	2015	9.75	8.65	6.52	0.03	80.96
	2014	10.05	8.98	6.36	0.06	76.89
	2013	8.89	7.71	9.28	0.16	283.61
United States
Model 1	2018	36.04	31.84	15.58	1.61	100.00
	2017	37.71	34.07	15.46	0.00	100.00
	2016	35.83	31.84	15.71	3.06	100.00
	2015	35.12	32.21	15.46	3.28	100.00
	2014	27.16	24.62	14.06	1.25	100.00
	2013	19.94	17.04	13.64	0.84	100.00

		Mean (%)	Median (%)	SD (%)	Min (%)	Max (%)
European Union
Model 1	2018	10.57	8.62	10.21	0.00	100.00
	2017	12.77	10.90	9.83	0.00	100.00
	2016	10.78	8.98	9.65	0.06	100.00
	2015	11.27	9.27	9.78	0.05	100.00
	2014	11.50	9.60	9.55	0.09	100.00
	2013	10.05	8.35	8.87	0.22	100.00
Model 2	2018	9.23	7.94	6.94	0.00	83.42
	2017	11.29	10.23	7.15	0.00	85.90
	2016	9.46	8.43	6.48	0.04	79.71
	2015	9.92	8.71	6.72	0.03	81.27
	2014	10.22	9.02	6.52	0.06	76.89
	2013	9.08	7.80	11.82	0.16	432.20
Eurozone
Model 1	2018	10.61	8.66	9.93	0.01	100.00
	2017	13.18	11.58	9.59	0.00	100.00
	2016	10.67	8.98	9.51	0.08	100.00
	2015	11.11	9.22	9.66	0.05	100.00
	2014	11.31	9.56	9.45	0.09	100.00
	2013	9.94	8.30	8.96	0.22	100.00
Model 2	2018	9.41	8.00	6.89	0.00	84.04
	2017	11.09	10.54	10.52	0.00	80.93
	2016	9.39	8.43	6.38	0.05	79.45
	2015	9.75	8.65	6.52	0.03	80.96
	2014	10.05	8.98	6.36	0.06	76.89
	2013	8.89	7.71	9.28	0.16	283.61
United States
Model 1	2018	36.04	31.84	15.58	1.61	100.00
	2017	37.71	34.07	15.46	0.00	100.00
	2016	35.83	31.84	15.71	3.06	100.00
	2015	35.12	32.21	15.46	3.28	100.00
	2014	27.16	24.62	14.06	1.25	100.00
	2013	19.94	17.04	13.64	0.84	100.00

Note(s): (1) The D.E.A. efficiency results of model 1 are generated using “rDEA” package version 4.47 in R software developed by Simm and Besstremyannaya (2016). (2) The dea efficiency results of model 2 are generated using the methodology of Simar and Wilson (2007), more specifically the algorithm 2 of the two-stage semi-parametric double bootstrapping method. (3) The size of confidence interval for the bias-corrected DEA score is 0.05

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