單元七 非參數法衡量生產力變化之 電腦實習 An Output-orientated VRS Malmquist DEA Example：資料檔(Eg1.dta) Y X1 X2 …………………………………. ….共三期, 每期22筆資 料, 因此共66筆資料
程式檔(Eg1.ins) Eg1.dta DATA FILE NAME Eg1.out OUTPUT FILE NAME 22 NUMBER OF FIRMS 3 NUMBER OF TIME PERIODS 1 NUMBER OF OUTPUTS 2 NUMBER OF INPUTS 1 0=INPUT AND 1=OUTPUT ORIENTATED 1 0=CRS AND 1=VRS 2 0=DEA(MULTI-STAGE), 1=COST-DEA, 2=MALMQUIST-DEA, 3=DEA(1-STAGE), 4=DEA(2-STAGE)
結果檔(Eg1.out) Results from DEAP Version 2.1 Instruction file = Eg1.ins Data file = Eg1.dta Output orientated Malmquist DEA DISTANCES SUMMARY year = 1 firm crs te rel to tech in yr vrs no. ***************** te t-1 t t+1 1 0.000 0.777 1.151 1.000 2 0.000 0.841 1.247 0.849 3 0.000 0.843 1.245 0.925 ……………………………………. 22 0.000 0.664 0.966 0.939 mean 0.000 0.789 1.134 0.916
year = 2 firm crs te rel to tech in yr vrs no. ************************ te t-1 t t+1 1 0.591 0.765 0.692 1.000 2 0.601 0.818 0.740 0.919 3 0.562 0.701 0.546 0.929 ……………………………………. 22 0.579 0.722 0.535 0.916 mean 0.664 0.797 0.623 0.948 year = 3 1 0.770 0.620 0.000 1.000 2 1.033 0.756 0.000 0.919
3 0.773 0.543 0.000 0.953 ……………………………………. 22 0.810 0.607 0.000 0.948 mean 0.932 0.702 0.000 0.937 [Note that t-1 in year 1 and t+1 in the final year are not defined] MALMQUIST INDEX SUMMARY year = 2 firm effch techch pech sech tfpch 1 0.984 0.722 1.000 0.984 0.710 2 0.972 0.704 1.082 0.898 0.685 3 0.832 0.737 1.004 0.828 0.613 ………………………………………. 22 1.086 0.743 0.975 1.114 0.807 mean 1.015 0.760 1.037 0.979 0.771
year = 3 firm effch techch pech sech tfpch 1 0.811 1.171 1.000 0.811 0.950 2 0.924 1.229 1.000 0.924 1.136 3 0.775 1.352 1.025 0.756 1.047 ………………………………………. 22 0.841 1.342 1.035 0.812 1.128 mean 0.868 1.306 0.988 0.878 1.133 MALMQUIST INDEX SUMMARY OF ANNUAL MEANS year effch techch pech sech tfpch 2 1.015 0.760 1.037 0.979 0.771 3 0.868 1.306 0.988 0.878 1.133 mean 0.938 0.996 1.012 0.927 0.935
MALMQUIST INDEX SUMMARY OF FIRM MEANS firm effch techch pech sech tfpch 1 0.893 0.920 1.000 0.893 0.821 2 0.948 0.930 1.040 0.911 0.882 3 0.803 0.998 1.015 0.791 0.801 ………………………………………. 22 0.956 0.998 1.005 0.951 0.954 mean 0.938 0.996 1.012 0.927 0.935 [Note that all Malmquist index averages are geometric means]
作 業 求算民國75~80年、80～85年間Malmquist生 產力變動指數、技術水準變動、純粹管理技 術效率(PTE)變動、規模效率(SE)變動,並說明 各期間每一縣市生產力變動之主要原因。