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Table 5 Parameter estimates of the stochastic meta-frontier production function

From: Improving farm productivity through the reduction of managerial and technology gaps among farmers in Rwanda

Variable

Parameter

Coefficient

Standard error

Production frontier

 Constant

\({\beta }_{0}\)

5.343***

0.062

 \(\mathrm{lnLand}\)

\({\beta }_{1}\)

0.127***

0.006

 \(\mathrm{lnLabor}\)

\({\beta }_{2}\)

0.149**

0.011

 \(\mathrm{lnFertilizer}\)

\({\beta }_{3}\)

0.252**

0.007

 \(\mathrm{lnSeed}\)

\({\beta }_{4}\)

0.139***

0.005

Environmental variables

 Constant

\({\delta }_{0}\)

− 3.543***

0.057

  Slope

\({\delta }_{1}\)

0.601***

0.160

Variance parameters

 Sigma-u

\({\sigma }_{u}\)

0.124***

0.046

 Sigma-v

\({\sigma }_{v}\)

0.025***

0.003

 Variance

\({\sigma }^{2}\)

0.016***

0.005

 Lambda

\(\lambda \)

4.961***

0.009

 Log likelihood function

 

− 677.523

 

Total number of observation

360

 
  1. ***, **, and * Statistical significance at 1%, 5%, and 10% levels, respectively