Table 4.
Malmquist Index for Geographic Groups
North | Center | South | Total | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
G.M.* | Lower¶ | Upper¶ | G.M. | Lower | Upper | G.M. | Lower | Upper | G.M. | Lower | Upper | ||
Malmquist Index under CRS | |||||||||||||
MI† | 0.998 | 0.954 | 1.035 | 0.985 | 0.971 | 1.000 | 0.981 | 0.960 | 1.000 | 0.986 | 0.975 | 0.998 | |
06/07 | CMI‡ | 1.028 | 0.985 | 1.069 | 0.994 | 0.975 | 1.014 | 0.982 | 0.946 | 1.014 | 0.997 | 0.982 | 1.013 |
FMI§ | 0.976 | 0.953 | 1.000 | 0.999 | 0.983 | 1.018 | 1.008 | 0.980 | 1.038 | 0.997 | 0.985 | 1.010 | |
MI | 0.958 | 0.935 | 0.977 | 1.021 | 1.005 | 1.037 | 0.983 | 0.964 | 1.001 | 1.000 | 0.988 | 1.012 | |
07/08 | CMI | 1.017 | 0.990 | 1.044 | 1.081 | 1.059 | 1.101 | 1.058 | 1.029 | 1.086 | 1.064 | 1.049 | 1.079 |
FMI | 0.944 | 0.927 | 0.962 | 0.951 | 0.935 | 0.965 | 0.933 | 0.916 | 0.950 | 0.945 | 0.935 | 0.956 | |
MI | 0.998 | 0.967 | 1.032 | 1.013 | 0.999 | 1.027 | 1.011 | 0.992 | 1.033 | 1.010 | 0.999 | 1.020 | |
08/09 | CMI | 1.023 | 0.988 | 1.062 | 1.038 | 1.015 | 1.060 | 1.043 | 1.014 | 1.073 | 1.036 | 1.019 | 1.053 |
CFM | 0.979 | 0.960 | 1.001 | 0.984 | 0.970 | 0.999 | 0.974 | 0.955 | 0.993 | 0.981 | 0.971 | 0.991 | |
MI | 0.993 | 0.971 | 1.015 | 1.015 | 1.002 | 1.027 | 0.993 | 0.965 | 1.016 | 1.006 | 0.995 | 1.015 | |
09/10 | CMI | 0.999 | 0.975 | 1.022 | 1.017 | 1.000 | 1.034 | 1.003 | 0.974 | 1.029 | 1.010 | 0.997 | 1.023 |
FMI | 0.997 | 0.977 | 1.014 | 1.003 | 0.991 | 1.014 | 0.992 | 0.978 | 1.005 | 0.999 | 0.991 | 1.007 | |
MI | 1.017 | 0.982 | 1.050 | 0.991 | 0.981 | 1.002 | 1.000 | 0.978 | 1.022 | 0.998 | 0.988 | 1.008 | |
10/11 | CMI | 0.976 | 0.940 | 1.013 | 0.944 | 0.929 | 0.958 | 0.951 | 0.920 | 0.983 | 0.952 | 0.938 | 0.966 |
FMI | 1.045 | 1.026 | 1.067 | 1.055 | 1.042 | 1.069 | 1.058 | 1.033 | 1.085 | 1.054 | 1.044 | 1.064 | |
MI | 0.941 | 0.901 | 0.976 | 0.991 | 0.970 | 1.013 | 0.978 | 0.939 | 1.021 | 0.979 | 0.961 | 0.997 | |
06/11 | CMI | 1.026 | 0.974 | 1.075 | 1.051 | 1.023 | 1.079 | 1.019 | 0.975 | 1.067 | 1.039 | 1.016 | 1.060 |
FMI | 0.923 | 0.898 | 0.949 | 0.951 | 0.934 | 0.966 | 0.967 | 0.939 | 0.993 | 0.950 | 0.937 | 0.962 | |
Malmquist Index under VRS | |||||||||||||
MI | 0.985 | 0.954 | 1.013 | 0.975 | 0.962 | 0.988 | 0.995 | 0.972 | 1.019 | 0.982 | 0.971 | 0.992 | |
06/07 | CMI | 1.008 | 0.973 | 1.043 | 0.992 | 0.974 | 1.011 | 1.010 | 0.986 | 1.035 | 1.000 | 0.985 | 1.013 |
FMI | 0.980 | 0.964 | 1.000 | 0.988 | 0.975 | 1.003 | 0.990 | 0.968 | 1.014 | 0.987 | 0.977 | 0.998 | |
MI | 0.969 | 0.943 | 0.996 | 1.015 | 0.998 | 1.035 | 0.985 | 0.965 | 1.007 | 1.000 | 0.987 | 1.013 | |
07/08 | CMI | 0.988 | 0.960 | 1.016 | 1.051 | 1.031 | 1.073 | 1.041 | 1.009 | 1.075 | 1.037 | 1.021 | 1.053 |
FMI | 0.982 | 0.965 | 1.000 | 0.972 | 0.956 | 0.987 | 0.954 | 0.933 | 0.974 | 0.969 | 0.959 | 0.980 | |
MI | 1.008 | 0.983 | 1.039 | 1.010 | 0.994 | 1.026 | 1.003 | 0.985 | 1.022 | 1.008 | 0.997 | 1.019 | |
08/09 | CMI | 1.040 | 1.017 | 1.066 | 1.032 | 1.011 | 1.053 | 1.012 | 0.985 | 1.038 | 1.028 | 1.014 | 1.043 |
CFM | 0.970 | 0.955 | 0.985 | 0.985 | 0.972 | 0.997 | 0.996 | 0.977 | 1.013 | 0.985 | 0.976 | 0.993 | |
MI | 1.004 | 0.983 | 1.023 | 1.010 | 1.000 | 1.020 | 0.997 | 0.972 | 1.019 | 1.006 | 0.997 | 1.015 | |
09/10 | CMI | 1.006 | 0.980 | 1.031 | 1.021 | 1.007 | 1.036 | 1.007 | 0.977 | 1.034 | 1.015 | 1.002 | 1.027 |
FMI | 1.000 | 0.988 | 1.013 | 0.995 | 0.982 | 1.007 | 0.993 | 0.980 | 1.008 | 0.995 | 0.986 | 1.004 | |
MI | 1.010 | 0.974 | 1.045 | 0.992 | 0.983 | 1.001 | 1.010 | 0.991 | 1.030 | 1.000 | 0.989 | 1.009 | |
10/11 | CMI | 1.001 | 0.959 | 1.040 | 0.962 | 0.948 | 0.974 | 0.991 | 0.967 | 1.012 | 0.976 | 0.962 | 0.987 |
FMI | 1.014 | 0.996 | 1.033 | 1.037 | 1.024 | 1.051 | 1.023 | 1.005 | 1.040 | 1.029 | 1.020 | 1.039 | |
MI | 0.967 | 0.927 | 1.007 | 0.994 | 0.972 | 1.016 | 0.982 | 0.943 | 1.022 | 0.986 | 0.968 | 1.004 | |
06/11 | CMI | 1.029 | 0.982 | 1.077 | 1.039 | 1.011 | 1.065 | 1.046 | 0.999 | 1.088 | 1.039 | 1.017 | 1.060 |
FMI | 0.946 | 0.910 | 0.979 | 0.963 | 0.948 | 0.976 | 0.943 | 0.921 | 0.963 | 0.955 | 0.944 | 0.966 |
*Geometric mean.
†Malmquist Index.
‡Catch‐up component.
§Frontier‐shift component.
¶Lower and upper indicate boundary of 95% confidence interval.