Testing Spatial Symmetry Using Contingency Tables Based on Nearest Neighbor Relations

Table 12

The means (±SD) of the off-diagonal entries, 𝑁₁₂, 𝑁₂₁, and their difference 𝑁₁₂−𝑁₂₁ and the rejection rate estimates for Case VI patterns with 𝑁_mc=10000, 𝑚₁=20, 𝑚₂=10 (hence 𝑛₁=𝑛₂=40) at 𝛼=.05. Column labeling is as in Table 6.

	Mean ± SD			Rejection rate estimates for Case VI patterns
	𝑁12	𝑁21	𝑁12−𝑁21	𝛽^𝑃I	𝛽^𝑃′I	𝛽^𝑃bin	𝛽^𝐷𝑆	𝛽^𝑃II	𝛽^𝐹II
VI-(i)	20.3±.6	29.0±2.6	−8.73±2.58	.0019	.0091	.0629	.8883	.9911	.9907
VI-(ii)	21.6±1.4	27.7±2.8	−6.13±2.89	.0003	.0012	.0073	.5460	.7782	.7730
VI-(iii)	23.1±2.1	26.4±3.0	−3.39±3.25	.0000	.0000	.0009	.1860	.3029	.2980