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Table 7 Procrustes ANOVA for the coral example, with a symmetry group consisting of reflection and rotation of order 6

From: Beyond bilateral symmetry: geometric morphometric methods for any type of symmetry

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   
  1. 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.