Table 3 Results of hypotheses testing
Null hypothesis | LR statistic (λ) | Degree of freedom | p value | Critical value (χ2, 0.05) | Decision |
|---|---|---|---|---|---|
1. \({\mathrm{H}}_{0}:\gamma =0\) | |||||
 Local varieties | 6.90 | 1 | 0.007 | 3.84 | Reject H0 |
 OPVs | 9.32 | 1 | 0.000 | 3.84 | Reject H0 |
 Hybrids | 8.65 | 1 | 0.002 | 3.84 | Reject H0 |
 Pooled sample | 10.62 | 1 | 0.001 | 3.84 | Reject H0 |
2. \({\mathrm{H}}_{0}:{\delta }_{1}={\delta }_{2}=\dots ={\delta }_{10}=0\) | |||||
 Local varieties | 29.07 | 10 | 0.014 | 18.30 | Reject H0 |
 OPVs | 30.30 | 10 | 0.001 | 18.30 | Reject H0 |
 Hybrids | 28.66 | 10 | 0.022 | 18.30 | Reject H0 |
 Pooled sample | 49.31 | 10 | 0.000 | 18.30 | Reject H0 |
3. \({\mathrm{H}}_{0}:{\beta }_{ik}=0\) | |||||
 Local varieties | 5.95 | 10 | 0.306 | 18.30 | Do not reject H0 |
 OPVs | 6.16 | 10 | 0.143 | 18.30 | Do not reject H0 |
 Hybrids | 6.02 | 10 | 0.250 | 18.30 | Do not reject H0 |
 Pooled sample | 6.21 | 10 | 0.515 | 18.30 | Do not reject H0 |
4. All individual groups share the same technology | 61.34 | 37 | 0.008 | 55.75 | Reject H0 |
 Eta (\(\eta \)) endogeneity test—\(\left({\chi }^{2}=7.12\right)\)a; p = 0.214 | |||||