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. 2017 Mar 6;53(2):896–918. doi: 10.1111/1475-6773.12676

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.