Output from the program FRONTIER (Version 4.1c) instruction file = terminal data file = 139npaf.txt Tech. Eff. Effects Frontier (see B&C 1993) The model is a cost function The dependent variable is logged the ols estimates are : coefficient standard-error t-ratio beta 0 0.12089440E+02 0.40773887E+00 0.29649958E+02 beta 1 0.65253720E+00 0.90621599E-01 0.72006807E+01 beta 2 0.16016227E+00 0.50969626E-01 0.31423082E+01 beta 3 -0.64685369E-02 0.31040890E-01 -0.20838761E+00 beta 4 0.47094230E-01 0.63380769E-01 0.74303659E+00 beta 5 0.73508948E-02 0.46079616E-01 0.15952596E+00 sigma-squared 0.61387448E-01 log likelihood function = -0.22256163E+00 the estimates after the grid search were : beta 0 0.11877690E+02 beta 1 0.65253720E+00 beta 2 0.16016227E+00 beta 3 -0.64685369E-02 beta 4 0.47094230E-01 beta 5 0.73508948E-02 delta 0 0.00000000E+00 delta 1 0.00000000E+00 delta 2 0.00000000E+00 delta 3 0.00000000E+00 delta 4 0.00000000E+00 delta 5 0.00000000E+00 sigma-squared 0.10357571E+00 gamma 0.68000000E+00 iteration = 0 func evals = 20 llf = 0.10775223E+01 0.11877690E+02 0.65253720E+00 0.16016227E+00-0.64685369E-02 0.47094230E-01 0.73508948E-02 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.10357571E+00 0.68000000E+00 gradient step iteration = 5 func evals = 44 llf = 0.21358097E+01 0.11877529E+02 0.65261871E+00 0.16080538E+00-0.64871756E-02 0.47410548E-01 0.75239323E-02-0.22421188E-03 0.22081891E-04-0.79002421E-03-0.36690631E-07 0.84061663E-03-0.79639939E-03 0.10271518E+00 0.68000538E+00 iteration = 10 func evals = 68 llf = 0.45958472E+01 0.11615469E+02 0.65633161E+00 0.20293197E+00-0.64301320E-02 0.23023009E-01 0.14094508E-01-0.41880005E+00 0.38769445E-01-0.14807239E-02 0.26729549E-03 0.25663857E-02 0.61394083E-03 0.90888010E-01 0.58384785E+00 iteration = 15 func evals = 102 llf = 0.77518667E+01 0.10461346E+02 0.82339842E+00 0.15216329E+00 0.59263593E-03-0.63971578E-01 -0.36263051E-01-0.46367198E+00 0.94158050E+00-0.49352813E-02-0.20781056E-03 0.23516293E-02 0.24587250E-02 0.11647845E+00 0.76510631E+00 iteration = 20 func evals = 173 llf = 0.88972814E+01 0.10323480E+02 0.83223678E+00 0.16751604E+00-0.66312541E-02-0.59587548E-01 -0.23972889E-01-0.29167874E+00 0.33993188E+01-0.10914024E-01-0.93107817E-03 0.20201734E-02 0.27156127E-02 0.10816212E+00 0.66253064E+00 iteration = 25 func evals = 192 llf = 0.89791772E+01 0.10323130E+02 0.83216478E+00 0.16751518E+00-0.66517534E-02-0.59491374E-01 -0.24056918E-01-0.29251466E+00 0.33809316E+01-0.11177708E-01-0.92623203E-03 0.20236713E-02 0.27114221E-02 0.10828033E+00 0.66357041E+00 iteration = 30 func evals = 213 llf = 0.90090048E+01 0.10325181E+02 0.83242000E+00 0.16750418E+00-0.65573943E-02-0.59877292E-01 -0.23685599E-01-0.28944402E+00 0.34539812E+01-0.11237817E-01-0.94679503E-03 0.20097239E-02 0.27271472E-02 0.10783481E+00 0.65686386E+00 iteration = 35 func evals = 232 llf = 0.90173762E+01 0.10325113E+02 0.83240606E+00 0.16750473E+00-0.65614781E-02-0.59858727E-01 -0.23701105E-01-0.28959801E+00 0.34504910E+01-0.11265075E-01-0.94587921E-03 0.20103775E-02 0.27263709E-02 0.10785692E+00 0.65701206E+00 iteration = 37 func evals = 244 llf = 0.90180446E+01 0.10325401E+02 0.83244225E+00 0.16750324E+00-0.65481812E-02-0.59913280E-01 -0.23648722E-01-0.28916029E+00 0.34608308E+01-0.11264937E-01-0.94878150E-03 0.20083985E-02 0.27286058E-02 0.10779337E+00 0.65607988E+00 the final mle estimates are : coefficient standard-error t-ratio beta 0 0.10325401E+02 0.53944669E+00 0.19140726E+02 beta 1 0.83244225E+00 0.10008227E+00 0.83175797E+01 beta 2 0.16750324E+00 0.51099115E-01 0.32780066E+01 beta 3 -0.65481812E-02 0.31249942E-01 -0.20954218E+00 beta 4 -0.59913280E-01 0.63840680E-01 -0.93848123E+00 beta 5 -0.23648722E-01 0.50183870E-01 -0.47124149E+00 delta 0 -0.28916029E+00 0.35002544E+00 -0.82611219E+00 delta 1 0.34608308E+01 0.34029177E+01 0.10170187E+01 delta 2 -0.11264937E-01 0.50438192E-02 -0.22334141E+01 delta 3 -0.94878150E-03 0.11640786E-02 -0.81504934E+00 delta 4 0.20083985E-02 0.90816088E-03 0.22115007E+01 delta 5 0.27286058E-02 0.12326795E-02 0.22135565E+01 sigma-squared 0.10779337E+00 0.11797841E-01 0.91367036E+01 gamma 0.65607988E+00 0.22477119E+00 0.29188789E+01 log likelihood function = 0.90180441E+01 LR test of the one-sided error = 0.18481211E+02 with number of restrictions = 7 [note that this statistic has a mixed chi-square distribution] number of iterations = 37 (maximum number of iterations set at : 100) number of cross-sections = 139 number of time periods = 1 total number of observations = 139 thus there are: 0 obsns not in the panel covariance matrix : 0.29100273E+00 -0.49316620E-01 0.15249542E-01 -0.10647270E-02 0.26749490E-01 0.37283381E-02 -0.66820777E-01 -0.39749289E+00 0.16304883E-02 0.16084188E-03 0.15699851E-03 -0.24306391E-03 0.64756769E-03 -0.17994905E-02 -0.49316620E-01 0.10016460E-01 -0.41933997E-02 -0.31626869E-03 -0.45739283E-02 0.26017134E-03 0.11362806E-01 0.12809104E-01 -0.88498275E-04 -0.79255753E-05 -0.28606573E-04 0.12940125E-04 0.24904096E-03 0.33968059E-02 0.15249542E-01 -0.41933997E-02 0.26111195E-02 0.21731187E-03 0.11896602E-02 -0.22632045E-03 -0.33768783E-02 -0.15212530E-03 -0.22216508E-04 -0.24578405E-05 0.12803806E-04 0.54434786E-05 -0.24215721E-03 -0.22144491E-02 -0.10647270E-02 -0.31626869E-03 0.21731187E-03 0.97655890E-03 -0.57535196E-03 0.39463265E-04 -0.63061200E-03 -0.78301792E-02 0.33063952E-04 -0.56594161E-05 0.17599503E-06 0.75014910E-05 0.66813222E-04 0.81129969E-03 0.26749490E-01 -0.45739283E-02 0.11896602E-02 -0.57535196E-03 0.40756324E-02 0.31813781E-03 -0.42184447E-02 0.15036515E-01 -0.95077664E-05 0.10370579E-04 0.98694434E-05 -0.20419295E-04 -0.15805130E-03 -0.26192385E-02 0.37283381E-02 0.26017134E-03 -0.22632045E-03 0.39463265E-04 0.31813781E-03 0.25184208E-02 0.31416960E-02 -0.23321811E-01 0.59574846E-04 0.16756204E-04 -0.70738007E-05 -0.29415706E-04 0.10169238E-03 0.62473534E-03 -0.66820777E-01 0.11362806E-01 -0.33768783E-02 -0.63061200E-03 -0.42184447E-02 0.31416960E-02 0.12251781E+00 -0.72115556E-01 -0.27344781E-03 -0.16173146E-03 -0.27565045E-03 -0.19408311E-03 -0.10864397E-02 0.15884616E-02 -0.39749289E+00 0.12809104E-01 -0.15212530E-03 -0.78301792E-02 0.15036515E-01 -0.23321811E-01 -0.72115556E-01 0.11579849E+02 0.24680295E-02 0.57929118E-03 0.66827097E-03 -0.94318267E-03 0.35100673E-01 0.33960566E+00 0.16304883E-02 -0.88498275E-04 -0.22216508E-04 0.33063952E-04 -0.95077664E-05 0.59574846E-04 -0.27344781E-03 0.24680295E-02 0.25440113E-04 -0.14717068E-05 -0.90718564E-06 0.17364431E-05 -0.76199076E-04 -0.75616308E-03 0.16084188E-03 -0.79255753E-05 -0.24578405E-05 -0.56594161E-05 0.10370579E-04 0.16756204E-04 -0.16173146E-03 0.57929118E-03 -0.14717068E-05 0.13550790E-05 0.20686888E-06 -0.18264988E-06 -0.95004916E-06 -0.37700666E-04 0.15699851E-03 -0.28606573E-04 0.12803806E-04 0.17599503E-06 0.98694434E-05 -0.70738007E-05 -0.27565045E-03 0.66827097E-03 -0.90718564E-06 0.20686888E-06 0.82475619E-06 0.33565376E-06 -0.22031984E-05 -0.38217183E-04 -0.24306391E-03 0.12940125E-04 0.54434786E-05 0.75014910E-05 -0.20419295E-04 -0.29415706E-04 -0.19408311E-03 -0.94318267E-03 0.17364431E-05 -0.18264988E-06 0.33565376E-06 0.15194988E-05 0.50147840E-05 0.57099538E-04 0.64756769E-03 0.24904096E-03 -0.24215721E-03 0.66813222E-04 -0.15805130E-03 0.10169238E-03 -0.10864397E-02 0.35100673E-01 -0.76199076E-04 -0.95004916E-06 -0.22031984E-05 0.50147840E-05 0.13918904E-03 -0.36405447E-03 -0.17994905E-02 0.33968059E-02 -0.22144491E-02 0.81129969E-03 -0.26192385E-02 0.62473534E-03 0.15884616E-02 0.33960566E+00 -0.75616308E-03 -0.37700666E-04 -0.38217183E-04 0.57099538E-04 -0.36405447E-03 0.50522088E-01 cost efficiency estimates : firm year eff.-est. 1 1 0.11529934E+01 2 1 0.10856352E+01 3 1 0.10929611E+01 4 1 0.11036574E+01 5 1 0.11437054E+01 6 1 0.10457865E+01 7 1 0.10742174E+01 8 1 0.15169264E+01 9 1 0.12097585E+01 10 1 0.10765730E+01 11 1 0.11493686E+01 12 1 0.11605759E+01 13 1 0.12795071E+01 14 1 0.11919753E+01 15 1 0.10994123E+01 16 1 0.11022155E+01 17 1 0.11104100E+01 18 1 0.11884660E+01 19 1 0.10705528E+01 20 1 0.13691956E+01 21 1 0.13854458E+01 22 1 0.13773821E+01 23 1 0.20850715E+01 24 1 0.11979972E+01 25 1 0.10621764E+01 26 1 0.10416801E+01 27 1 0.19766320E+01 28 1 0.10951207E+01 29 1 0.10525294E+01 30 1 0.31367191E+01 31 1 0.10757638E+01 32 1 0.12726358E+01 33 1 0.16758220E+01 34 1 0.18763823E+01 35 1 0.13144740E+01 36 1 0.10880240E+01 37 1 0.10615868E+01 38 1 0.10865038E+01 39 1 0.11434753E+01 40 1 0.14161866E+01 41 1 0.12030185E+01 42 1 0.11422276E+01 43 1 0.12417321E+01 44 1 0.12364700E+01 45 1 0.12900150E+01 46 1 0.11272552E+01 47 1 0.12928249E+01 48 1 0.10855140E+01 49 1 0.11700791E+01 50 1 0.10894892E+01 51 1 0.11040314E+01 52 1 0.10869039E+01 53 1 0.10890815E+01 54 1 0.10594770E+01 55 1 0.12313752E+01 56 1 0.11128217E+01 57 1 0.14182685E+01 58 1 0.12280661E+01 59 1 0.10597566E+01 60 1 0.12689164E+01 61 1 0.10531489E+01 62 1 0.10511685E+01 63 1 0.11174627E+01 64 1 0.11565417E+01 65 1 0.12164739E+01 66 1 0.14830381E+01 67 1 0.13587324E+01 68 1 0.11949285E+01 69 1 0.11608996E+01 70 1 0.19667561E+01 71 1 0.12791419E+01 72 1 0.11635502E+01 73 1 0.11403206E+01 74 1 0.11727081E+01 75 1 0.13006928E+01 76 1 0.11571422E+01 77 1 0.11618404E+01 78 1 0.10489390E+01 79 1 0.11096696E+01 80 1 0.11119836E+01 81 1 0.11453161E+01 82 1 0.10659789E+01 83 1 0.10668243E+01 84 1 0.11400430E+01 85 1 0.11118182E+01 86 1 0.11277267E+01 87 1 0.15720726E+01 88 1 0.10751992E+01 89 1 0.10473265E+01 90 1 0.11133206E+01 91 1 0.11133230E+01 92 1 0.11476384E+01 93 1 0.11816849E+01 94 1 0.12960559E+01 95 1 0.11942058E+01 96 1 0.17890112E+01 97 1 0.10813764E+01 98 1 0.10477506E+01 99 1 0.13782207E+01 100 1 0.11142462E+01 101 1 0.11845776E+01 102 1 0.12167293E+01 103 1 0.10342491E+01 104 1 0.10565583E+01 105 1 0.12068296E+01 106 1 0.10996351E+01 107 1 0.11158155E+01 108 1 0.10764792E+01 109 1 0.10478190E+01 110 1 0.10351834E+01 111 1 0.10814158E+01 112 1 0.13180049E+01 113 1 0.13044348E+01 114 1 0.13986578E+01 115 1 0.10416456E+01 116 1 0.10593216E+01 117 1 0.10973245E+01 118 1 0.21208948E+01 119 1 0.10970548E+01 120 1 0.11467135E+01 121 1 0.11547334E+01 122 1 0.10647145E+01 123 1 0.10703841E+01 124 1 0.10933665E+01 125 1 0.10608102E+01 126 1 0.12046503E+01 127 1 0.12491002E+01 128 1 0.10963897E+01 129 1 0.10912685E+01 130 1 0.11225477E+01 131 1 0.10647920E+01 132 1 0.12037148E+01 133 1 0.10808297E+01 134 1 0.11014979E+01 135 1 0.12398322E+01 136 1 0.11263332E+01 137 1 0.11937021E+01 138 1 0.12378536E+01 139 1 0.11402151E+01 mean efficiency = 0.12139078E+01