Testing Spatial Symmetry Using Contingency Tables Based on Nearest Neighbor Relations

Table 2

The 𝑄-symmetry contingency table for 𝑘 with 𝑘=2(a) and 𝑘>2(b).

(a)

	The number of times a point serving as a NN						Total
	0	1	2	3	4	5
Classes
Class 1	𝑄1,0	𝑄1,1	𝑄1,2	𝑄1,3	𝑄1,4	𝑄1,5	𝑛1
Class 2	𝑄2,0	𝑄2,1	𝑄2,2	𝑄2,3	𝑄2,4	𝑄2,5	𝑛2
Total	𝑄0	𝑄1	𝑄2	𝑄3	𝑄4	𝑄5	𝑛

(b)

	The number of times a point serving as a NN						Total
	0	1	2	3	4	5
Classes
Class 1	𝑄1,0	𝑄1,1	𝑄1,2	𝑄1,3	𝑄1,4	𝑄1,5	𝑛1
⋮	⋮	⋮	⋮	⋮	⋮	⋮	⋮
Class 𝑘	𝑄𝑘,0	𝑄𝑘,1	𝑄𝑘,2	𝑄𝑘,3	𝑄𝑘,4	𝑄𝑘,5	𝑛𝑘
Total	𝑄0	𝑄1	𝑄2	𝑄3	𝑄4	𝑄5	𝑛