Output from the program FRONTIER (Version 4.1c) instruction file = terminal data file = NPA143D.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 0.11578389E+02 0.41358630E+00 0.27995097E+02 beta 1 0.69742627E+00 0.95254995E-01 0.73216766E+01 beta 2 0.15924416E+00 0.54051537E-01 0.29461541E+01 beta 3 -0.12786241E-02 0.32830238E-01 -0.38946539E-01 beta 4 0.67971018E-01 0.67328298E-01 0.10095461E+01 beta 5 0.14488485E-01 0.48722797E-01 0.29736562E+00 sigma-squared 0.69768660E-01 log likelihood function = -0.94696708E+01 the estimates after the grid search were : beta 0 0.11311623E+02 beta 1 0.69742627E+00 beta 2 0.15924416E+00 beta 3 -0.12786241E-02 beta 4 0.67971018E-01 beta 5 0.14488485E-01 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 0.13800550E+00 gamma 0.81000000E+00 iteration = 0 func evals = 20 llf = -0.52082580E+01 0.11311623E+02 0.69742627E+00 0.15924416E+00-0.12786241E-02 0.67971018E-01 0.14488485E-01 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.13800550E+00 0.81000000E+00 gradient step iteration = 5 func evals = 55 llf = -0.17418434E+01 0.11312481E+02 0.69847149E+00 0.15809440E+00-0.50461940E-02 0.63768204E-01 0.13059144E-01-0.28189602E-02 0.94182082E-04 0.12324921E-02 0.32888950E-04 0.14166220E-02-0.15145421E-02 0.12875142E+00 0.81069354E+00 iteration = 10 func evals = 80 llf = 0.16839732E+01 0.11359938E+02 0.74846422E+00 0.11850508E+00-0.28830568E-01 0.37822575E-01 0.30958932E-03-0.47684743E+00 0.23565579E-01 0.22969363E-02 0.88224864E-03 0.27281326E-02-0.81639510E-03 0.11098485E+00 0.75850792E+00 iteration = 15 func evals = 136 llf = 0.55186725E+01 0.11689670E+02 0.66961877E+00 0.16826590E+00-0.19103486E-01 0.43461505E-01 -0.13059641E-01-0.99095219E+00 0.23889021E+01 0.18565456E-02 0.11404341E-02 0.33159021E-02 0.54221135E-03 0.10481329E+00 0.65776693E+00 iteration = 20 func evals = 245 llf = 0.82305410E+01 0.12051040E+02 0.66189869E+00 0.14343609E+00-0.17272674E-01 0.55271409E-01 0.14646863E-01-0.13169112E+01 0.15849297E+02-0.12734431E-02 0.10412025E-02 0.35616809E-02-0.15453918E-02 0.92829723E-01 0.53600031E+00 pt better than entering pt cannot be found iteration = 25 func evals = 338 llf = 0.84104939E+01 0.12018846E+02 0.66611613E+00 0.14615146E+00-0.17941206E-01 0.54128749E-01 0.22146589E-01-0.12257474E+01 0.15695564E+02-0.12452776E-02 0.12315821E-02 0.37947478E-02-0.30051867E-02 0.89639684E-01 0.51972596E+00 the final mle estimates are : coefficient standard-error t-ratio beta 0 0.12018846E+02 0.46656162E+00 0.25760470E+02 beta 1 0.66611613E+00 0.88187897E-01 0.75533736E+01 beta 2 0.14615146E+00 0.52698346E-01 0.27733595E+01 beta 3 -0.17941206E-01 0.30665437E-01 -0.58506280E+00 beta 4 0.54128749E-01 0.61906762E-01 0.87435924E+00 beta 5 0.22146589E-01 0.46301103E-01 0.47831666E+00 delta 0 -0.12257474E+01 0.52134844E+00 -0.23511097E+01 delta 1 0.15695564E+02 0.60983171E+01 0.25737533E+01 delta 2 -0.12452776E-02 0.14974888E-02 -0.83157726E+00 delta 3 0.12315821E-02 0.14792221E-02 0.83258767E+00 delta 4 0.37947478E-02 0.19599680E-02 0.19361274E+01 delta 5 -0.30051867E-02 0.45225142E-02 -0.66449469E+00 sigma-squared 0.89639684E-01 0.21318134E-01 0.42048560E+01 gamma 0.51972596E+00 0.22255608E+00 0.23352584E+01 log likelihood function = 0.84104939E+01 LR test of the one-sided error = 0.35760329E+02 with number of restrictions = 7 [note that this statistic has a mixed chi-square distribution] number of iterations = 25 (maximum number of iterations set at : 100) number of cross-sections = 143 number of time periods = 1 total number of observations = 143 thus there are: 0 obsns not in the panel covariance matrix : 0.21767974E+00 -0.33409537E-01 0.94849444E-02 0.15067706E-04 0.17346118E-01 0.78931268E-02 0.50064105E-01 0.44432811E+00 -0.26802451E-04 0.96123775E-04 -0.11073079E-03 -0.49945554E-03 -0.17149992E-02 -0.12435751E-01 -0.33409537E-01 0.77771051E-02 -0.37275260E-02 -0.32094197E-03 -0.36219131E-02 -0.89894589E-04 -0.13946300E-02 0.32162909E-02 -0.13058091E-04 -0.91274504E-05 0.23122257E-05 0.26834891E-04 0.23214189E-03 0.17811088E-02 0.94849444E-02 -0.37275260E-02 0.27771157E-02 0.14145056E-03 0.11991471E-02 -0.33481271E-03 -0.65909426E-02 -0.10196493E-01 0.98375722E-05 0.91214598E-05 0.28776215E-04 -0.20597302E-04 -0.20538673E-03 -0.27755740E-02 0.15067706E-04 -0.32094197E-03 0.14145056E-03 0.94036903E-03 -0.61391890E-03 0.13834393E-04 -0.94710568E-03 -0.17173281E-01 0.24077580E-05 -0.12187984E-04 -0.57177516E-05 0.36597476E-04 0.60528814E-04 0.85390018E-03 0.17346118E-01 -0.36219131E-02 0.11991471E-02 -0.61391890E-03 0.38324471E-02 0.40426048E-03 0.25891901E-02 0.29768761E-01 -0.39732382E-05 0.17986713E-04 0.60406968E-05 -0.68865050E-04 -0.19223677E-03 -0.21589642E-02 0.78931268E-02 -0.89894589E-04 -0.33481271E-03 0.13834393E-04 0.40426048E-03 0.21437922E-02 0.69522864E-02 0.25375411E-01 -0.77041462E-05 0.46033020E-05 0.89109134E-06 -0.75696208E-04 -0.42407025E-04 -0.11039130E-02 0.50064105E-01 -0.13946300E-02 -0.65909426E-02 -0.94710568E-03 0.25891901E-02 0.69522864E-02 0.27180420E+00 -0.17430608E+01 0.26301208E-03 -0.28341783E-03 -0.79359582E-03 0.35126568E-03 0.38128606E-02 0.71348666E-01 0.44432811E+00 0.32162909E-02 -0.10196493E-01 -0.17173281E-01 0.29768761E-01 0.25375411E-01 -0.17430608E+01 0.37189472E+02 -0.82410706E-02 0.19741307E-02 0.66343809E-02 -0.15038023E-01 -0.53019000E-01 -0.85187449E+00 -0.26802451E-04 -0.13058091E-04 0.98375722E-05 0.24077580E-05 -0.39732382E-05 -0.77041462E-05 0.26301208E-03 -0.82410706E-02 0.22424727E-05 0.35053207E-07 -0.96313963E-06 0.25603434E-05 0.10281829E-04 0.14558735E-03 0.96123775E-04 -0.91274504E-05 0.91214598E-05 -0.12187984E-04 0.17986713E-04 0.46033020E-05 -0.28341783E-03 0.19741307E-02 0.35053207E-07 0.21880980E-05 0.17730049E-05 -0.42316603E-05 -0.92156392E-05 -0.18718773E-03 -0.11073079E-03 0.23122257E-05 0.28776215E-04 -0.57177516E-05 0.60406968E-05 0.89109134E-06 -0.79359582E-03 0.66343809E-02 -0.96313963E-06 0.17730049E-05 0.38414746E-05 -0.58210538E-05 -0.22167627E-04 -0.35309188E-03 -0.49945554E-03 0.26834891E-04 -0.20597302E-04 0.36597476E-04 -0.68865050E-04 -0.75696208E-04 0.35126568E-03 -0.15038023E-01 0.25603434E-05 -0.42316603E-05 -0.58210538E-05 0.20453135E-04 0.46196499E-04 0.70892205E-03 -0.17149992E-02 0.23214189E-03 -0.20538673E-03 0.60528814E-04 -0.19223677E-03 -0.42407025E-04 0.38128606E-02 -0.53019000E-01 0.10281829E-04 -0.92156392E-05 -0.22167627E-04 0.46196499E-04 0.45446284E-03 0.38694986E-02 -0.12435751E-01 0.17811088E-02 -0.27755740E-02 0.85390018E-03 -0.21589642E-02 -0.11039130E-02 0.71348666E-01 -0.85187449E+00 0.14558735E-03 -0.18718773E-03 -0.35309188E-03 0.70892205E-03 0.38694986E-02 0.49531208E-01 cost efficiency estimates : firm year eff.-est. 1 1 0.11364990E+01 2 1 0.10756506E+01 3 1 0.10546188E+01 4 1 0.10483763E+01 5 1 0.11611516E+01 6 1 0.10659972E+01 7 1 0.10738053E+01 8 1 0.11502745E+01 9 1 0.10681556E+01 10 1 0.11035115E+01 11 1 0.11087398E+01 12 1 0.11985703E+01 13 1 0.11879915E+01 14 1 0.10560350E+01 15 1 0.10809450E+01 16 1 0.10401295E+01 17 1 0.10697365E+01 18 1 0.10800538E+01 19 1 0.10539946E+01 20 1 0.10422157E+01 21 1 0.11213031E+01 22 1 0.13680645E+01 23 1 0.13077383E+01 24 1 0.10731307E+01 25 1 0.10314371E+01 26 1 0.12328123E+01 27 1 0.17984691E+01 28 1 0.10565021E+01 29 1 0.10319060E+01 30 1 0.19208457E+01 31 1 0.10870122E+01 32 1 0.11232613E+01 33 1 0.14016333E+01 34 1 0.11732629E+01 35 1 0.10907028E+01 36 1 0.11338632E+01 37 1 0.31862897E+01 38 1 0.14317415E+01 39 1 0.26228955E+01 40 1 0.12227264E+01 41 1 0.11393205E+01 42 1 0.12481027E+01 43 1 0.10999673E+01 44 1 0.10812976E+01 45 1 0.12403542E+01 46 1 0.11297798E+01 47 1 0.13434623E+01 48 1 0.12658828E+01 49 1 0.10559675E+01 50 1 0.11965735E+01 51 1 0.10446423E+01 52 1 0.11116064E+01 53 1 0.10480480E+01 54 1 0.10655149E+01 55 1 0.12722626E+01 56 1 0.11789229E+01 57 1 0.10481138E+01 58 1 0.11703636E+01 59 1 0.11199665E+01 60 1 0.11016265E+01 61 1 0.11078749E+01 62 1 0.11898522E+01 63 1 0.10501506E+01 64 1 0.10492174E+01 65 1 0.10734603E+01 66 1 0.10786210E+01 67 1 0.11019068E+01 68 1 0.11120883E+01 69 1 0.10739408E+01 70 1 0.11518303E+01 71 1 0.10760450E+01 72 1 0.10984952E+01 73 1 0.10686270E+01 74 1 0.10906130E+01 75 1 0.10536735E+01 76 1 0.10998748E+01 77 1 0.12028055E+01 78 1 0.10369106E+01 79 1 0.11548973E+01 80 1 0.10674689E+01 81 1 0.10752013E+01 82 1 0.10489755E+01 83 1 0.10714022E+01 84 1 0.10526845E+01 85 1 0.10718467E+01 86 1 0.13042613E+01 87 1 0.10603241E+01 88 1 0.10687641E+01 89 1 0.10986927E+01 90 1 0.11675582E+01 91 1 0.11295991E+01 92 1 0.11204492E+01 93 1 0.10210147E+01 94 1 0.10845843E+01 95 1 0.10653563E+01 96 1 0.10782722E+01 97 1 0.10763104E+01 98 1 0.11589187E+01 99 1 0.10732517E+01 100 1 0.11609593E+01 101 1 0.10961452E+01 102 1 0.11202374E+01 103 1 0.10944783E+01 104 1 0.11327536E+01 105 1 0.11059797E+01 106 1 0.10629071E+01 107 1 0.11015214E+01 108 1 0.10829228E+01 109 1 0.11640156E+01 110 1 0.12166978E+01 111 1 0.10412916E+01 112 1 0.11831722E+01 113 1 0.11923140E+01 114 1 0.10882390E+01 115 1 0.13315352E+01 116 1 0.10892272E+01 117 1 0.11801500E+01 118 1 0.11326656E+01 119 1 0.10746836E+01 120 1 0.10388136E+01 121 1 0.10636271E+01 122 1 0.10681147E+01 123 1 0.11245893E+01 124 1 0.10387726E+01 125 1 0.10910336E+01 126 1 0.13529336E+01 127 1 0.12120246E+01 128 1 0.10640387E+01 129 1 0.10584749E+01 130 1 0.11002756E+01 131 1 0.10709047E+01 132 1 0.10592861E+01 133 1 0.10451618E+01 134 1 0.11123886E+01 135 1 0.11165753E+01 136 1 0.12593812E+01 137 1 0.10388399E+01 138 1 0.10622707E+01 139 1 0.11331323E+01 140 1 0.11839488E+01 141 1 0.10661896E+01 142 1 0.10468653E+01 143 1 0.14554673E+01 mean efficiency = 0.11574451E+01