Data Envelopment Analysis using Stata Icon

Data Envelopment Analysis using Stata

Develop a user written Data Envelopment Analysis package in Stata.

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Description

The goal of this project is to develop a Data Envelopment Analysis(DEA) program using Stata programming language. This is the replacement of "deastata" project that we maintained for the purpose of version management.
We call the program package "DEAS" which stands for Data Envelopment Analysis using Stata.
DEAS covers the basic models of DEA and extensions including CCR, BCC, SBM, Super-efficiency Model, Allocative Model(Profit, Revenue, Cost), (Global) Malmquist Productivity Index Model, Imprecise DEA, FDH, Additive Model, Virtual Price Model, linear programming(lp), mixed integer linear programming(MILP), and more.

Data Envelopment Analysis using Stata Web Site

Features

  • Data Envelopment Analysis(DEA)
  • Stata
  • (Global) Malmquist Productivity Index
  • CCR
  • BCC
  • Slack Based Model(SBM)
  • Super-efficiency Model
  • Free Disposal Hull(FDH)
  • Allocative Efficiency Model
  • Imprecise Data Envelopment Analysis(IDEA)
  • Revenue Efficiency Model
  • Profit Efficiency Model
  • Cost Efficiency Model
  • Virtual Price Model

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  • mohamadse
    1 of 5 2 of 5 3 of 5 4 of 5 5 of 5

    Dear Chonjoo lee. Thank you very Much. I have some problem about "dea_allocative" module. I would be grateful if you could help me. 1- Profit efficiency model yields different results using "val" and "unitvars" options. 2- The "rts" option is not work with profit efficiency model. 3- In the case of DMUs with negative profit (loss) how i could interpret profit efficiency? 4- model(p) do not report Allocative efficiency. Best Wishes mohamad here is my obtained results using dea_allocative, model (p): . dea_allocative t l s c fr w = y, mod(p) unitvars(pt pl ps pc pfr pw py) ---------------------------------------------------------------------------------- name: dea_allocative log: C:\Documents and Settings\sms\dea_allocative.log log type: text opened on: 21 May 2013, 16:50:57 options: RTS(CRS) CRS DEA-Profit Efficiency Results: MAX^: MAX: MIN^: MIN^: MIN^: MIN^: y revenue t l s c dmu:1 2500 1483750 22.9125 82.55 100 2.5 dmu:2 2333.33 1621664 25.505 83.4315 100 6.67 dmu:3 3200 2059200 49.6 129.38 128 9.6 dmu:4 3000 1630500 20.1984 98.3359 152.226 8 dmu:5 2800 1661800 22.4515 92.1374 126.179 5 dmu:6 2142.86 1293216 10.5063 69.8509 126.051 8.40127 dmu:7 2000 1186000 9.80588 65.1941 117.647 7.84118 dmu:8 3000 1785000 22.1393 98.5285 143.654 6.67 dmu:9 1700 1093100 13.6834 55.9457 76.3787 3 dmu:10 2666.67 1716002 19.5757 87.5707 128.15 6 dmu:11 1400 970900 6.86412 45.6359 82.3529 5.48882 dmu:12 3142.86 1865287 14.86 89.3 137.14 4.57 dmu:13 3466.67 2230802 15.67 113.38 160 6 dmu:14 3000 1930500 16.33 87.519 158.28 6 dmu:15 3333.33 2128331 15.67 88 246.67 8 dmu:16 2000 1387000 13 57.5 70 2 dmu:17 1500 890250 10.0992 49.168 76.1128 4 dmu:18 2400 1304400 24.5055 83.9008 96 4.8 dmu:19 2500 1483750 14.8863 81.7535 135.448 8 dmu:20 2500 1483750 17.8049 82.0432 122.558 6 dmu:21 3750 1856250 23.75 114.75 150 4.5 dmu:22 3125 1854687 26.6341 102.988 133.862 4.5 dmu:23 3400 2102900 16.67 110.83 200 13.33 dmu:24 3000 1929000 20.9281 98.4083 149.003 7.5 dmu:25 4000 2374000 32.9324 132.956 160 6.09796 dmu:26 900 489150 4.41265 29.3374 52.9412 3.52853 dmu:27 2400 1424400 23.6887 87.0464 120 8.37375 dmu:28 4000 2374000 37 107.09 150 1.5 dmu:29 3000 1780500 16.2821 85.1975 156.042 5 dmu:30 2400 1424400 19.8723 81.9 112 6.92949 dmu:31 2000 1187000 16.8707 65.8952 86.4451 3 dmu:32 3200 2059200 37.2 130.18 80 6 dmu:33 3233.33 2080648 30.1048 107.965 123.413 2 dmu:34 4125 2241938 39 139.25 150 1 dmu:35 2150 1168525 11.4556 62.7655 114.6 4.5 dmu:36 4000 2374000 32 124.454 173.008 4 dmu:37 2350 1628550 21.0937 72.82 80 3 dmu:38 1000 563000 9.165 33.02 40 1 dmu:39 1320 717420 6.47188 43.0281 77.6471 5.17518 dmu:40 4000 2374000 22.33 108.63 200 4 dmu:41 666.67 362335 3.26864 21.7315 39.2159 2.61374 dmu:42 2666.67 1582669 22.6569 71.63 106.67 1.34487 dmu:43 4333.33 3005164 38.2991 140.04 173.33 6 dmu:44 2000 1087000 18.0213 65.6531 80 2.67 dmu:45 2500 1483750 19.9844 78.88 109.359 3 dmu:46 5000 3217500 52.42 160.3 150 7.5 dmu:47 2000 1147000 13.9521 65.6056 99.3353 5 dmu:48 1000 643500 6.24637 32.7304 52.8902 3 dmu:49 666.67 429002 3.26864 21.7315 39.2159 2.61374 dmu:50 3000 1780500 14.7088 97.7912 176.471 11.7618 dmu:51 2575 1528263 18.2531 83.96 126.048 6 dmu:52 4000 2574000 30.2154 127.194 100 3.84833 dmu:53 1800 1158300 12.1191 59.0016 91.3353 4.8 dmu:54 4722.22 2660971 45.37 157.06 138.89 4.17 dmu:55 2000 1387000 12.4927 65.4607 105.78 6 dmu:56 2000 1127000 18.33 66.04 80 2 dmu:57 1300 836550 6.37382 42.3762 76.4706 5.09676 dmu:58 2000 1187000 9.80588 65.1941 117.647 7.84118 dmu:59 2400 1544400 13.0257 68.158 124.834 4 dmu:60 1900 1277655 9.31559 61.9344 111.765 7.44912 dmu:61 4400 2611400 35.5483 142.3 185.291 3.97535 dmu:62 2666.67 1649335 16.657 87.2811 141.041 8 dmu:63 2000 1187000 27.5 76.742 80 5.66763 dmu:64 1200 891600 6.0475 37.804 68.4592 4 dmu:65 5400 4014900 34.28 171.13 123.89 4 MIN^: MIN^: MIN: MAX: CUR: fr w cost profit profit OE dmu:1 375 5445 2.47e+07 -2.32e+07 -6.25e+07 2.69153 dmu:2 642.987 4086.6 6.43e+07 -6.27e+07 -1.34e+08 2.13447 dmu:3 800 5702.4 4.96e+07 -4.76e+07 -4.76e+07 1 dmu:4 528.886 5114.66 4.56e+08 -4.54e+08 -1.12e+09 2.46538 dmu:5 454.71 5473.89 4.53e+07 -4.37e+07 -4.72e+07 1.08146 dmu:6 420.169 2890.59 6.93e+07 -6.80e+07 -2.50e+08 3.66962 dmu:7 392.157 2697.88 3.82e+07 -3.70e+07 -1.40e+08 3.7827 dmu:8 507.902 5492.21 3.52e+07 -3.34e+07 -5.99e+07 1.79428 dmu:9 275.51 3333.57 9063727 -7970627 -3.29e+07 4.13273 dmu:10 452.591 4861.78 7.95e+07 -7.78e+07 -1.45e+08 1.86998 dmu:11 274.51 1888.52 1.08e+07 -9788729 -5.64e+07 5.76655 dmu:12 571.429 7603.2 6.33e+07 -6.15e+07 -6.15e+07 1 dmu:13 1166.67 17280 1.17e+08 -1.14e+08 -1.14e+08 1 dmu:14 473.65 5733.55 5.49e+07 -5.30e+07 -7.29e+07 1.37654 dmu:15 666.667 6534 5.24e+07 -5.02e+07 -5.02e+07 1 dmu:16 4051 5745.6 4.06e+07 -3.93e+07 -3.93e+07 1 dmu:17 264.443 2557.33 9108156 -8217906 -3.37e+07 4.09789 dmu:18 440 4882.21 2.92e+07 -2.79e+07 -3.15e+07 1.13151 dmu:19 461.774 3883.73 1.84e+08 -1.82e+08 -5.24e+08 2.87235 dmu:20 430.22 4451.47 3.54e+07 -3.39e+07 -1.01e+08 2.96764 dmu:21 1118.75 8662.5 6.75e+08 -6.73e+08 -6.73e+08 1 dmu:22 490.444 6415.93 1.60e+08 -1.58e+08 -2.02e+08 1.27635 dmu:23 666.667 4586.4 4.05e+07 -3.84e+07 -3.84e+07 1 dmu:24 520.997 5256.6 6.62e+07 -6.43e+07 -1.00e+08 1.56193 dmu:25 568.667 8851.4 3.73e+07 -3.50e+07 -5.31e+07 1.51777 dmu:26 176.471 1214.05 4.63e+07 -4.58e+07 -3.35e+08 7.30217 dmu:27 531.25 3724.65 4.80e+07 -4.66e+07 -1.08e+08 2.31247 dmu:28 502 16848 5.42e+08 -5.40e+08 -5.40e+08 1 dmu:29 452.614 6028.78 5893376 -4112876 -1.46e+07 3.56125 dmu:30 500 4201.49 5.41e+07 -5.27e+07 -1.08e+08 2.04459 dmu:31 315.777 4072.13 5.24e+07 -5.12e+07 -8.37e+07 1.635 dmu:32 700 8553.6 1.10e+08 -1.07e+08 -1.07e+08 1 dmu:33 388.8 7716.18 2.14e+08 -2.12e+08 -2.32e+08 1.09715 dmu:34 375 10692 1.51e+08 -1.49e+08 -1.49e+08 1 dmu:35 342.759 4051.94 6703228 -5534703 -1.73e+07 3.11991 dmu:36 583.74 8747.12 1.53e+08 -1.51e+08 -3.12e+08 2.06733 dmu:37 737.072 5259.39 2.63e+07 -2.46e+07 -3.84e+07 1.55948 dmu:38 150 2178 1.93e+07 -1.88e+07 -7.52e+07 4.00257 dmu:39 258.824 1780.6 2.02e+07 -1.95e+07 -1.35e+08 6.9059 dmu:40 550 8820 4.29e+08 -4.27e+08 -4.27e+08 1 dmu:41 130.72 899.299 4751043 -4388708 -2.82e+07 6.4363 dmu:42 369.911 10134.7 3.72e+07 -3.57e+07 -3.73e+07 1.04757 dmu:43 927.456 9081.34 3.86e+07 -3.55e+07 -5.26e+07 1.48052 dmu:44 389.64 4199.23 9817365 -8730365 -3.05e+07 3.49365 dmu:45 375.218 5319.64 2.20e+07 -2.05e+07 -4.15e+07 2.02252 dmu:46 2000 10692 1.37e+08 -1.34e+08 -1.34e+08 1 dmu:47 347.331 3504.4 5.86e+07 -5.75e+07 -1.30e+08 2.25975 dmu:48 181.554 1610.27 1.01e+07 -9460499 -5.19e+07 5.48546 dmu:49 130.72 899.299 3327054 -2898052 -2.41e+07 8.30891 dmu:50 588.235 4046.82 1.45e+07 -1.27e+07 -4.19e+07 3.28893 dmu:51 439.07 4638.73 4.94e+07 -4.79e+07 -9.87e+07 2.0616 dmu:52 1064.13 10711.9 4.29e+07 -4.03e+07 -5.37e+07 1.33215 dmu:53 317.331 3068.8 2.45e+07 -2.33e+07 -6.30e+07 2.70476 dmu:54 694.444 11880 2.92e+08 -2.90e+08 -2.90e+08 1 dmu:55 363.108 3220.53 1.18e+07 -1.04e+07 -4.75e+07 4.55517 dmu:56 300 4356 1.36e+07 -1.24e+07 -1.24e+07 1 dmu:57 254.902 1753.62 1.11e+07 -1.02e+07 -6.04e+07 5.89684 dmu:58 392.157 2697.88 2.31e+07 -2.19e+07 -2.02e+08 9.20518 dmu:59 362.091 4823.02 5740684 -4196284 -4.38e+07 10.4362 dmu:60 372.549 2562.99 1.11e+07 -9774703 -2.66e+07 2.72386 dmu:61 504 10312.3 7.43e+08 -7.40e+08 -9.50e+08 1.28279 dmu:62 484.145 4294.05 2.37e+07 -2.21e+07 -2.89e+07 1.30947 dmu:63 539.898 3605.54 6544961 -5357961 -3.36e+07 6.27168 dmu:64 221.16 1825.29 6758657 -5867057 -1.20e+07 2.04726 dmu:65 1138.9 15660 1.82e+09 -1.82e+09 -1.82e+09 1 name: dea_allocative log: C:\Documents and Settings\sms\dea_allocative.log log type: text closed on: 21 May 2013, 16:50:58 ---------------------------------------------------------------------------------- . dea_allocative t l s c fr w = y, mod(p) val(1 2 3 4 5 6 7) ---------------------------------------------------------------------------------- name: dea_allocative log: C:\Documents and Settings\sms\dea_allocative.log log type: text opened on: 21 May 2013, 16:52:11 options: RTS(CRS) CRS DEA-Profit Efficiency Results: MAX^: MAX: MIN^: MIN^: MIN^: MIN^: MIN^: y revenue t l s c fr dmu:1 2500 17500 22.9125 82.55 100 2.5 375 dmu:2 2333.33 16333.3 28.6719 87.17 100 6.67 569.85 dmu:3 3200 22400 49.6 129.38 128 9.6 800 dmu:4 3000 21000 20.1984 98.3359 152.226 8 528.886 dmu:5 2800 19600 22.4515 92.1374 126.179 5 454.71 dmu:6 2142.86 15000 10.5063 69.8509 126.051 8.40127 420.169 dmu:7 2000 14000 9.80588 65.1941 117.647 7.84118 392.157 dmu:8 3000 21000 22.1393 98.5285 143.654 6.67 507.902 dmu:9 1700 11900 13.6834 55.9457 76.3787 3 275.51 dmu:10 2666.67 18666.7 19.5757 87.5707 128.15 6 452.591 dmu:11 1400 9800 6.86412 45.6359 82.3529 5.48882 274.51 dmu:12 3142.86 22000 14.86 89.3 137.14 4.57 571.429 dmu:13 3466.67 24266.7 15.67 113.38 160 6 1166.67 dmu:14 3000 21000 16.33 87.519 158.28 6 473.65 dmu:15 3333.33 23333.3 15.67 88 246.67 8 666.667 dmu:16 2000 14000 13 57.5 70 2 4051 dmu:17 1500 10500 10.0992 49.168 76.1128 4 264.443 dmu:18 2400 16800 24.5055 83.9008 96 4.8 440 dmu:19 2500 17500 14.8863 81.7535 135.448 8 461.774 dmu:20 2500 17500 17.8049 82.0432 122.558 6 430.22 dmu:21 3750 26250 23.75 114.75 150 4.5 1118.75 dmu:22 3125 21875 26.6341 102.988 133.862 4.5 490.444 dmu:23 3400 23800 16.67 110.83 200 13.33 666.667 dmu:24 3000 21000 20.9281 98.4083 149.003 7.5 520.997 dmu:25 4000 28000 32.9324 132.956 160 6.09796 568.667 dmu:26 900 6300 4.41265 29.3374 52.9412 3.52853 176.471 dmu:27 2400 16800 23.6887 87.0464 120 8.37375 531.25 dmu:28 4000 28000 37 107.09 150 1.5 502 dmu:29 3000 21000 24.5764 98.7704 132.89 5 481.554 dmu:30 2400 16800 19.8723 81.9 112 6.92949 500 dmu:31 2000 14000 16.8707 65.8952 86.4451 3 315.777 dmu:32 3200 22400 37.2 130.18 80 6 700 dmu:33 3233.33 22633.3 30.1048 107.965 123.413 2 388.8 dmu:34 4125 28875 39 139.25 150 1 375 dmu:35 2150 15050 16.2754 70.6527 101.146 4.5 359.576 dmu:36 4000 28000 32 124.454 173.008 4 583.74 dmu:37 2350 16450 21.0451 72.82 80 3 715.848 dmu:38 1000 7000 9.165 33.02 40 1 150 dmu:39 1320 9240 6.47188 43.0281 77.6471 5.17518 258.824 dmu:40 4000 28000 22.33 108.63 200 4 550 dmu:41 666.67 4666.69 3.26864 21.7315 39.2159 2.61374 130.72 dmu:42 2666.67 18666.7 22.6681 71.63 106.67 1.33984 341.647 dmu:43 4333.33 30333.3 38.2991 140.04 173.33 6 927.456 dmu:44 2000 14000 20.4522 68.5228 80 2.67 333.5 dmu:45 2500 17500 19.9844 78.88 109.359 3 375.218 dmu:46 5000 35000 52.42 160.3 150 7.5 2000 dmu:47 2000 14000 13.9521 65.6056 99.3353 5 347.331 dmu:48 1000 7000 6.24637 32.7304 52.8902 3 181.554 dmu:49 666.67 4666.69 3.26864 21.7315 39.2159 2.61374 130.72 dmu:50 3000 21000 14.7088 97.7912 176.471 11.7618 588.235 dmu:51 2575 18025 18.2531 83.96 126.048 6 439.07 dmu:52 4000 28000 32.1341 131.38 100 4.27859 1041.85 dmu:53 1800 12600 12.1191 59.0016 91.3353 4.8 317.331 dmu:54 4722.22 33055.5 45.37 157.06 138.89 4.17 694.444 dmu:55 2000 14000 12.4927 65.4607 105.78 6 363.108 dmu:56 2000 14000 18.33 66.04 80 2 300 dmu:57 1300 9100 6.37382 42.3762 76.4706 5.09676 254.902 dmu:58 2000 14000 9.80588 65.1941 117.647 7.84118 392.157 dmu:59 2400 16800 19.6611 79.0163 106.312 4 385.243 dmu:60 1900 13300 9.31559 61.9344 111.765 7.44912 372.549 dmu:61 4400 30800 35.5483 142.3 185.291 3.97535 504 dmu:62 2666.67 18666.7 16.657 87.2811 141.041 8 484.145 dmu:63 2000 14000 27.5 76.742 80 5.66763 539.898 dmu:64 1200 8400 6.91192 39.2185 66.0463 4 224.176 dmu:65 5400 37800 34.28 171.13 123.89 4 1138.9 MIN^: MIN: MAX: CUR: w cost profit profit OE dmu:1 5445 35043 -17543 -72799.4 4.14977 dmu:2 4118.01 28087 -11753.7 -53126.2 4.51995 dmu:3 5702.4 38945.2 -16545.2 -16545.2 1 dmu:4 5114.66 34038 -13038 -59980.8 4.60047 dmu:5 5473.89 35722.2 -16122.2 -19941.1 1.23687 dmu:6 2890.59 20006.4 -5006.34 -51815.7 10.35 dmu:7 2697.88 18672.6 -4672.58 -63848.8 13.6646 dmu:8 5492.21 36169.6 -15169.6 -54162.9 3.57049 dmu:9 3333.57 21745.7 -9845.7 -88763.3 9.01544 dmu:10 4861.78 32036.8 -13370.1 -64270.3 4.807 dmu:11 1888.52 13070.8 -3270.8 -62451 19.0935 dmu:12 7603.2 49099.5 -27099.5 -27099.5 1 dmu:13 17280 110260 -85993.1 -85993.1 1 dmu:14 5733.55 37459.8 -16459.8 -46336.4 2.81513 dmu:15 6534 43501 -20167.7 -20167.7 1 dmu:16 5745.6 55074.6 -41074.6 -41074.6 1 dmu:17 2557.33 17019 -6518.98 -80489.1 12.3469 dmu:18 4882.21 31992.7 -15192.7 -18982.1 1.24942 dmu:19 3883.73 26228 -8727.99 -60522.1 6.93425 dmu:20 4451.47 29433.5 -11933.5 -71257.2 5.97121 dmu:21 8662.5 58290 -32040 -32040 1 dmu:22 6415.93 41600 -19725 -31952 1.61987 dmu:23 4586.4 31743.4 -7943.38 -7943.38 1 dmu:24 5256.6 34839.3 -13839.3 -32015 2.31333 dmu:25 8851.4 56755 -28755 -55509.8 1.93044 dmu:26 1214.05 8402.66 -2102.66 -83868.6 39.8869 dmu:27 3724.65 25595.4 -8795.43 -39160.3 4.45234 dmu:28 16848 104305 -76305.2 -76305.2 1 dmu:29 5966.27 38846.2 -17846.2 -88137.5 4.93874 dmu:30 4201.49 28256.3 -11456.3 -37592.4 3.28136 dmu:31 4072.13 26431.7 -12431.7 -28222.1 2.27018 dmu:32 8553.6 55383.2 -32983.2 -32983.2 1 dmu:33 7716.18 48865.4 -26232.1 -31310.8 1.19361 dmu:34 10692 66798.5 -37923.5 -37923.5 1 dmu:35 4015.61 26370.6 -11320.6 -59800.9 5.2825 dmu:36 8747.12 56217.4 -28217.4 -85962.3 3.04643 dmu:37 5270.52 35621.1 -19171.1 -40378.4 2.10622 dmu:38 2178 14017.2 -7017.21 -46752.1 6.6625 dmu:39 1780.6 12323.9 -3083.9 -67281.2 21.8169 dmu:40 8820 56525.6 -28525.6 -28525.6 1 dmu:41 899.299 6224.22 -1557.53 -49311 31.6596 dmu:42 10139.9 63039 -44372.4 -50676.2 1.14207 dmu:43 9081.34 59987.7 -29654.4 -55780.4 1.88102 dmu:44 4223.34 27415.7 -13415.7 -75431.1 5.62259 dmu:45 5319.64 34311.7 -16811.7 -51579.3 3.06805 dmu:46 10692 75005 -40005 -40005 1 dmu:47 3504.4 23226.2 -9226.22 -38796.5 4.20503 dmu:48 1610.27 10811.7 -3811.74 -58318.5 15.2997 dmu:49 899.299 6224.22 -1557.53 -38516.8 24.7294 dmu:50 4046.82 28008.9 -7008.87 -65968.6 9.41216 dmu:51 4638.73 30616.1 -12591.1 -43741.6 3.47402 dmu:52 10709.6 70078.6 -42078.6 -104304 2.47879 dmu:53 3068.8 20422.8 -7822.78 -40002.3 5.11357 dmu:54 11880 75545.1 -42489.5 -42489.5 1 dmu:55 3220.53 21623.5 -7623.49 -71509.3 9.38012 dmu:56 4356 28034.4 -14034.4 -14034.4 1 dmu:57 1753.62 12137.2 -3037.18 -55777.7 18.365 dmu:58 2697.88 18672.6 -4672.58 -202075 43.2469 dmu:59 4773.01 31076.9 -14276.9 -241675 16.9276 dmu:60 2562.99 17738.9 -4438.95 -30204.5 6.80442 dmu:61 10312.3 65286 -34486 -52660.8 1.52702 dmu:62 4294.05 28831.4 -10164.7 -17919.2 1.76289 dmu:63 3605.54 24776.4 -10776.4 -140795 13.0651 dmu:64 1818.77 12333 -3933 -17460 4.43936 dmu:65 15660 100419 -62618.7 -62618.7 1 name: dea_allocative log: C:\Documents and Settings\sms\dea_allocative.log log type: text closed on: 21 May 2013, 16:52:13

    Posted 05/21/2013
  • tfileme
    1 of 5 2 of 5 3 of 5 4 of 5 5 of 5

    Thanks for good program!

    Posted 05/11/2013
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Additional Project Details

Intended Audience

Advanced End Users, Developers, Non-Profit Organizations, Science/Research

Registered

2013-01-03
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