Testing Spatial Symmetry Using Contingency Tables Based on Nearest Neighbor Relations

Table 21

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

(a)

	Number of times a point serving as a NN			Total
	0	1	≥2
Classes
B.O.	37 (.27)	67 (.50)	31 (.23)	135
R.	256 (.27)	479 (.50)	227 (.24)	962
Total	293 (.27)	546 (.50)	258 (.24)	1097

(b)

	Number of times a point serving as a NN			Total
	0	1	≥2
M.	112 (.22)	259 (.50)	148 (.29)	514
R.	181 (.31)	286 (.49)	116 (.20)	583
Total	293 (.27)	545 (.50)	259 (.24)	1097

(c)

	Number of times a point serving as a NN			Total
	0	1	≥2
W.O.	143 (.32)	219 (.49)	86 (.19)	448
R.	150 (.23)	327 (.50)	172 (.27)	649
Total	293 (.27)	546 (.50)	258 (.24)	1097