The stability of efficiency across k-year intervals
| k-year | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| DEA All | 0.740* | 0.569 | 0.509 | 0.418 | 0.366 | 0.349 | 0.376 | 0.296 | 0.268 | 0.207 | 0.116 | −0.036 |
| DEA Years | 0.541 | 0.431 | 0.370 | 0.270 | 0.235 | 0.199 | 0.067 | 0.071 | 0.053 | 0.025 | 0.021 | −0.317 |
| DEA Groups | 0.752 | 0.663 | 0.612 | 0.537 | 0.512 | 0.524 | 0.588 | 0.541 | 0.483 | 0.477 | 0.309 | 0.102 |
| DEA Both | 0.722 | 0.524 | 0.430 | 0.388 | 0.341 | 0.285 | 0.264 | 0.206 | 0.245 | 0.231 | 0.245 | 0.162 |
| SFA All | 1.000 | 1.000 | 0.999 | 0.999 | 0.998 | 0.997 | 0.997 | 0.996 | 0.995 | 0.993 | 0.991 | 0.989 |
| SFA Years | 0.235 | 0.125 | 0.029 | −0.042 | 0.018 | 0.029 | −0.021 | 0.050 | 0.019 | 0.162 | 0.024 | −0.305 |
| SFA Groups | 0.997 | 0.990 | 0.981 | 0.970 | 0.958 | 0.944 | 0.929 | 0.911 | 0.890 | 0.867 | 0.848 | 0.801 |
| SFA Both | 0.200 | 0.082 | 0.120 | 0.045 | 0.077 | 0.116 | 0.055 | 0.066 | 0.064 | 0.180 | 0.170 | 0.284 |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| DEA All | 0.740* | 0.569 | 0.509 | 0.418 | 0.366 | 0.349 | 0.376 | 0.296 | 0.268 | 0.207 | 0.116 | −0.036 |
| DEA Years | 0.541 | 0.431 | 0.370 | 0.270 | 0.235 | 0.199 | 0.067 | 0.071 | 0.053 | 0.025 | 0.021 | −0.317 |
| DEA Groups | 0.752 | 0.663 | 0.612 | 0.537 | 0.512 | 0.524 | 0.588 | 0.541 | 0.483 | 0.477 | 0.309 | 0.102 |
| DEA Both | 0.722 | 0.524 | 0.430 | 0.388 | 0.341 | 0.285 | 0.264 | 0.206 | 0.245 | 0.231 | 0.245 | 0.162 |
| SFA All | 1.000 | 1.000 | 0.999 | 0.999 | 0.998 | 0.997 | 0.997 | 0.996 | 0.995 | 0.993 | 0.991 | 0.989 |
| SFA Years | 0.235 | 0.125 | 0.029 | −0.042 | 0.018 | 0.029 | −0.021 | 0.050 | 0.019 | 0.162 | 0.024 | −0.305 |
| SFA Groups | 0.997 | 0.990 | 0.981 | 0.970 | 0.958 | 0.944 | 0.929 | 0.911 | 0.890 | 0.867 | 0.848 | 0.801 |
| SFA Both | 0.200 | 0.082 | 0.120 | 0.045 | 0.077 | 0.116 | 0.055 | 0.066 | 0.064 | 0.180 | 0.170 | 0.284 |
Note(s): *Each coefficient in this table represents the average correlation of the pairs of efficiency scores separated by k-years (k = 1, 2, …, 12) for each methodology across a 13-year period (2005–2017). Corresponding to each k-, the coefficient is reported as the mean of the (13-k) the correlation coefficients of the efficiency pairs with the interval of k-year. All correlation coefficients are significant at the 1% level
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