Table 3 Procrustes ANOVA and MANOVA of the pyramid’s bilateral object symmetry nested within five-fold rotational matching symmetry of the lantern (analysis 3).

From: Geometric morphometrics of nested symmetries unravels hierarchical inter- and intra-individual variation in biological shapes

Procrustes ANOVA

MANOVA

Effect

Conv. df

Shape df

SS

MS

F

P (param)

P (permut)

Pillai’s trace

P(param)

P(permut)

Lantern

9

90

0.111274

0.001236

125.648

<0.0001

<0.0001

6.8480

<0.0001

<0.0001

Pyramid

4

40

0.000429

0.000011

1.090

0.33333

0.3412

1.0869

0.3148

0.3036

Reflection(Pyramid)

5

50

0.010664

0.000213

12.511

<0.0001

<0.0001

1.4737

0.0071

0.0018

Lantern*Pyramid

36

360

0.003542

0.000010

0.577

>0.9999

>0.9999

—

—

—

Lantern*Reflection(Pyramid)

45

450

0.007671

0.000017

6.198

<0.0001

<0.0001

7.6644

<0.0001

<0.0001

Symmetric error

45

450

0.001457

0.000003

      

Asymmetric error

45

450

0.001238

0.000003

      

Total error

45

900

0.002695

0.000003

      
  1. Abbreviations as in Table 1.
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