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Table 3 Maximum Likelihood Estimates of profit frontier function for maize enterprise

From: Profit efficiency in family-owned crop farms in Eastern Cape Province of South Africa: a translog profit function approach

Profit Function Parameter Coefficient Standard error Z P > IzI
Land maize \({\beta }_{3}\) 2076.298 216.0283 9.61 0.000***
Pricemaize \({\beta }_{4}\) 177.6758 93.40537 1.90 0.057**
Seedmaize \({\beta }_{11}\) − 9.259969 2.221791 − 4.17 0.000***
Fertilizer maize \({\beta }_{22}\) − 0.1506242 13.25013 − 0.01 0.991
Labour Maize \({\beta }_{33}\) − 1.438199 0.478716 − 3.00 0.003***
Interaction_ Land Seed \({\beta }_{34}\) − 9.262095 6.830793 − 1.36 0.175
Interaction_ Land Fertilizer \({\beta }_{3}\) − 62.28782 14.99107 − 4.15 0.000***
Interaction Land Labour \({\beta }_{4}\) − 0.3051261 0.4398202 − 0.69 0.488
Interaction Area Fertilizer \({\beta }_{11}\) 0.5752275 0.4204012 1.37 0.171
Interaction Seed Fertilizer \({\beta }_{22}\) 0.0258996 0.0126448 2.05 0.041**
Interaction Fertilizer Land \({\beta }_{33}\) − 0.011036 0.0669648 − 0.16 0.869
Constant \({\beta }_{0}\) 263.5339 245.024 1.08 0.282
Inefficiency      
 Gender   − 32.43931 68.37034 − 0.47 0.635
 Age   10.16991 4.013636 2.53 0.011**
 Years of schooling   − 6.755783 10.29214 − 0.66 0.512
 Household size   − 61.10439 16.69269 − 3.66 0.000***
 Farming experience   1.841484 4.872273 0.38 0.705
 Access to extension   99.16797 102.3317 0.97 0.333
 Access to credit   − 95.7052 57.87496 − 1.65 0.098*
 Constant   437.3711 361.3169 1.21 0.226
Vsigma (Heteroskedasticity test)      
 Gender   0.9770287 0.3666479 2.66 0.008***
 Age   − 0.0771768 0.0191253 − 4.04 0.000***
 Years of Schooling   − 0.2305634 0.0464434 − 4.96 0.000***
 Household size   − 0.1617799 0.0644347 − 2.51 0.012***
 Farming experience   0.0828554 0.0161816 5.12 0.000***
 Access to extension   2.976167 0.3194208 9.32 0.000***
 Access to credit   − 4.376702 0.7385109 − 5.93 0.000***
 Constant   16.80234 1.081866 15.53 0.000***
  1. Number of obs = 157; Wald chi2 (13) = 914.36; Prob > chi2 = 0.0000; Log likelihood = − 1271.2208
  2. **, *Significant at 1% level, 5%, respectively
  3. Stata 14 generated results from survey data