Table 3: Tests of homogeneity and symmetry restrictions.

Null Hypothesis Asymptotic t-valueP value

Homogeneity does not hold in cabbage equation 1.80 0.071
Homogeneity does not hold in carrots equation−1.28 0.205
Homogeneity does not hold in celery equation−1.30 0.199
Homogeneity does not hold in cucumbers equation 0.27 0.790
Homogeneity does not hold in lettuce equation−0.63 0.535
Homogeneity does not hold in onions equation−0.98 0.336
Symmetry between cabbage and carrots−0.88 0.378
Symmetry between celery and cabbage 2.08 0.035
Symmetry between cucumbers and cabbage 1.25 0.219
Symmetry between lettuce and cabbage−1.35 0.128
Symmetry between onions and cabbage 0.24 0.818
Symmetry between pepper and cabbage−0.19 0.856
Symmetry between celery can carrots−1.82 0.068
Symmetry between cucumbers and carrots−1.60 0.111
Symmetry between lettuce and carrots 0.32 0.756
Symmetry between onions and carrots−0.91 0.372
Symmetry between pepper and carrots−2.16 0.028
Symmetry between cucumbers and celery 2.51 0.009
Symmetry between lettuce and celery 0.55 0.593
Symmetry between onions and celery 1.79 0.073
Symmetry between pepper and celery−1.64 0.102
Symmetry between lettuce and cucumbers 1.95 0.050
Symmetry between onions and cucumbers−0.78 0.447
Symmetry between pepper and cucumbers−0.78 0.447
Symmetry between onions and lettuce−1.28 0.204
Symmetry between pepper and lettuce−1.06 0.299
Symmetry between pepper and onions 1.39 0.168