Testing Spatial Symmetry Using Contingency Tables Based on Nearest Neighbor Relations

Table 15

The test statistics and the p-values for the overall symmetry analysis for the Lansing Woods data. TS stands for the test statistic, 𝑝_asy for the p-values based on asymptotic critical values (except for the exact tests), and 𝑝_rand for the p-values based on Monte Carlo randomization. ∗The p-values for the exact tests are not the asymptotic p-values but computed as described in Section 3.

Overall test statistics and p-values
	𝒳^2𝐷	𝒳^2I	𝒳^2,𝑢I	𝒳^2II	𝑇^𝐹II
TS	13.482	5.694	6.182	16.595	—
𝑝asy	.004	.128	.103	.002	.002*
𝑝rand	.006	.002	.002	.004	.004