Testing Spatial Symmetry Using Contingency Tables Based on Nearest Neighbor Relations

Table 18

The (reduced) Q-symmetry contingency tables for the restricted pairwise analysis for the Lansing Woods data. The relative frequencies in parentheses are with respect to the row sums. B.O. stands for black oaks, M. for maples, and W.O. for white oaks.

(a)

	Number of times a point serving as a NN			Total
	0	1	≥2
Classes
B.O.	38 (.28)	65 (.48)	32 (.24)	135
M.	142 (.28)	242 (.47)	130 (.25)	514
Total	180 (.28)	307 (.47)	162 (.25)	649

(b)

	Number of times a point serving as a NN			Total
	0	1	≥2
B.O.	36 (.27)	64 (.47)	35 (.26)	135
W.O.	135 (.30)	203 (.45)	110 (.25)	448
Total	171 (.29)	267 (.46)	145 (.25)	583

(c)

	Number of times a point serving as a NN			Total
	0	1	≥2
M.	117 (.23)	258 (.50)	139 (.27)	514
W.O.	136 (.30)	224 (.50)	88 (.20)	448
Total	253 (.26)	482 (.50)	227 (.24)	962