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Table 3 Results of test of hypotheses

From: Achieving sustainable development goals on no poverty and zero hunger: Does technical efficiency of Ghana’s maize farmers matter?

Restriction

Pooled

Northern Savannah

Transitional

Forest

Coastal Savannah

L(H0)

λ

χ 2

D

L(H0)

λ

χ 2

D

L(H0)

λ

χ 2

D

L(H0)

λ

χ 2

D

L(H0)

λ

χ 2

D

\(H_{0} : \beta_{ij} = 0\)

− 98.2

38.2

23.3

R

− 85.3

24.2

23.3

R

− 99.4

52.5

23.3

R

− 81.3

44.1

23.3

R

− 112.2

62.8

23.3

R

\(\delta_{m} = 0\)

− 148.7

28.4

10.1

R

− 178.3

45.8

10.1

R

− 83.4

31.2

10.1

R

− 94.8

21.7

10.1

R

− 138.7

34.4

10.1

R

Hypothesis (restriction)

L(H0)

λ

χ 2

Decision

Pooled sample versus sum of individual log-likelihood

 

13.4

45.6

Do not reject

  1. Agro-ecological zones share same technology. Critical values are at 5% significance level and are obtained from χ2 distribution table
  2. L(H0), Log-likelihood function; λ, test statistic; D, decision on whether hypothesis accepted or rejected; R, hypothesis is rejected; NR, hypothesis is not rejected; \(\beta_{ij}\), parameters in the square and cross terms; \(\delta_{m}\), parameters in the inefficiency term