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Table 11 Hypothesis testing for SPF models

From: Can producer groups improve technical efficiency among artisanal shrimpers in Nigeria? A study accounting for observed and unobserved selectivity

Null hypothesis \({H}_{0}\) χ2 statistics Degree of freedom χ2 critical Decision
Unmatched conventional
Cobb–Douglas (CD) is appropriate:\({\beta }_{ij}=0\)
Members 10.23 11 19.05 Cannot reject H0: CD is adequate
Nonmembers 17.54 11 19.05 Cannot reject H0: CD is adequate
Matched conventional
Members 11.02 11 19.05 Cannot reject H0: CD is adequate
Nonmembers 17.54 11 19.05 Cannot reject H0: CD is adequate
 
Unmatched conventional 16.86 3 7.05 Reject H0: No homogenous technology
Matched conventional 13.24 3 7.05 Reject H0: No homogenous technology
Unmatched conventional z statistics p value of z   
No technical efficiency effects: γ = 0
Members 3.59 0.00   Reject H0: Frontier not OLS
Nonmembers 7.31 0.00   Reject H0: Frontier not OLS
Matched conventional
Members 3.66 0.00   Reject H0: Frontier not OLS
Nonmembers 7.31 0.00   Reject H0: Frontier not OLS
  1. Source: Authors’ calculation based on survey data