Testing Spatial Symmetry Using Contingency Tables Based on Nearest Neighbor Relations

Table 19

The test statistics and the p-values for the unrestricted pairwise symmetry analysis for the Lansing Woods data. Row labelings and the asterisks are in Table 15.

Restricted pairwise test statistics and p-values
	𝑍𝐷^𝑖𝑗	𝒳^2I	𝒳^2,𝑢I	𝒳^2II	𝑇^𝐹II
Black oaks versus maples
TS	.246	.010	.038	.144	—
𝑝asy	.806	.922	.845	.930	.937*
𝑝rand	.819	.778	.773	.932	.945
Black oaks versus white oaks
TS	−.597	.115	.180	.603	—
𝑝asy	.551	.734	.671	.740	.759*
𝑝rand	.598	.497	.455	.764	.778
Maples versus white oaks
TS	−2.923	3.717	3.939	10.806	—
𝑝asy	.003	.054	.047	.005	.005*
𝑝rand	<.001	<.001	<.001	.004	.004