Table 7

Procrustes ANOVA for the coral example, with a symmetry group consisting of reflection and rotation of order 6

Source

Degrees of freedom

Sums of squares

Mean squares

F

P


Individual

343

1.510

0.0044038

0.49

> 0.999999

Rotation

39

7.6968

0.19735

20.31

< 0.000001

Reflection

7

0.008013

0.0011447

4.69

0.000049

Rotation × reflection

39

7.5323

0.19314

19.78

< 0.000001

Rotation × individual

1911

18.569

0.0097171

16.04

< 0.000001

Reflection × individual

343

0.083800

0.0002443

0.40

> 0.999999

Rotation × reflection × individual

1911

18.663

0.009766

16.11

< 0.000001

[Total FA]

4165

37.316

0.0089594

Imaging error

4600

2.7869

0.0006058

1.25

< 0.000001

Digitizing error

9200

4.4426

0.0004829


The main effect of individuals is tested against the mean square for the total fluctuating asymmetry ("Total FA": pooling sums of squares and degrees of freedom across all three subspaces with asymmetric variation: rotation × individual, reflection × individual and rotation × reflection × individual). This total asymmetry is not used otherwise in the analysis.

Savriama and Klingenberg BMC Evolutionary Biology 2011 11:280   doi:10.1186/1471-2148-11-280

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