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. 2022 Jul 22;3(3):32. doi: 10.1007/s43069-022-00155-7

Table 2.

DEA-Malmquist index summary of annual means

Panel A: DEA-Malmquist index summary of annual means
Year effch techch pech sech tfpch
Year 2 (2018–2019) 0.926 1.083 1.026 0.902 1.002
Year 3 (2019–2020) 0.911 1.135 0.995 0.915 1.034
Mean 0.918 1.108 1.010 0.909 1.018
Panel B: results of Wilcoxon test
Efficiency scores Wilcoxon signed ranks test Null hypothesis Decision on the null hypothesis
Z-statistic p-value
Technical efficiency change (year 2 vs. year 3)  − 1.946 0.052* The median of differences between effch-Y1 and effch-Y2 equals 0 Retain
Technological efficiency change (year 2 vs. year 3)  − 4.016 0.000** The median of differences between techch-Y1 and techch-Y2 equals 0 Reject
Pure efficiency change (year 2 vs. year 3)  − 2.523 0.012** The median of differences between pech-Y1 and pech-Y2 equals 0 Reject
Scale efficiency change (year 2 vs. year 3)  − 0.674 0.500 The median of differences between sech-Y1 and sech-Y2 equals 0 Retain
Total factor productivity change (year 2 vs. year 3)  − 0.400 0.689 The median of differences between tfpch-Y1 and tfpch-Y2 equals 0 Retain

All Malmquist index averages are geometric means

effch technical efficiency change, techch technological change, pech pure technical efficiency change, sech scale efficiency change, tfpch total factor productivity (TFP) change

*p < 0.1; **p < 0.05