Testing Spatial Symmetry Using Contingency Tables Based on Nearest Neighbor Relations

Table 22

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.

One-versus-rest test statistics and P-values
	𝑍𝐷^𝑖𝑗	𝒳^2I	𝒳^2,𝑢I	𝒳^2II	𝑇^𝐹II
Black oak versus rest
TS	.118	.000	.006	.049	—
𝑝asy	.906	1.000	.938	.976	.970*
𝑝rand	.889	1.000	.866	.968	.968
Maples versus rest
TS	−3.471	5.547	5.802	16.125	—
𝑝asy	<.001	.019	.016	<.001	<.001*
𝑝rand	<.001	<.001	<.001	<.001	<.001
White oaks versus rest
TS	3.447	4.840	5.068	13.832	—
𝑝asy	<.001	.028	.024	<.001	<.001*
𝑝rand	.001	<.001	<.001	.002	.002