Table 1.
Procrustes ANOVA, MANOVA, and centroid size ANOVA of the lantern’s five-fold rotational matching symmetry only (analysis 1).
| 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 | 0.111301 | 0.001237 | 125.639 | <0.0001 | <0.0001 | 6.8479 | <0.0001 | <0.0001 |
| Pyramid | 4 | 40 | 0.000429 | 0.000011 | 1.090 | 0.33348 | 0.3783 | 1.0868 | 0.3149 | 0.3097 |
| Lantern*Pyramid | 36 | 360 | 0.003544 | 0.000010 | 3.377 | <0.0001 | <0.0001 | 6.8693 | <0.0001 | <0.0001 |
| Measurement | 50 | 500 | 0.001457 | 0.000003 | ||||||
| Centroid size ANOVA | ||||||||||
| Effect | SS | MS | df | F | P (param) | P (permut) | ||||
| Lantern | 141.697309 | 15.744145 | 9 | 1353.196 | <0.0001 | <0.0001 | ||||
| Pyramid | 0.037473 | 0.009368 | 4 | 0.805 | 0.53 | 0.3856 | ||||
| Lantern*Pyramid | 0.418852 | 0.011635 | 36 | 7.807 | <0.0001 | <0.0001 | ||||
| Measurement | 0.074512 | 0.001490 | 50 | |||||||
Conv. df, conventional degrees of freedom; Shape df, shape degrees of freedom; SS, sum of squares; MS, mean square; F, F-value; P(param), parametric P-value; P(permut), P-value obtained by permutation.