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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