
Null Hypothesis  Asymptotic tvalue  P 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

