Testing Spatial Symmetry Using Contingency Tables Based on Nearest Neighbor Relations

Table 10

The means (±SD) of the off-diagonal entries, 𝑁₁₂, 𝑁₂₁, and their difference 𝑁₁₂−𝑁₂₁ and the rejection rate estimates for Case IV patterns with 𝑁_mc=10000, 𝑛₁=𝑛₂=40 at 𝛼=.05. The rejection rate labeling and superscripting for “<” and “>” are as in Table 6.

	𝑟	Mean ± SD			Rejection rate estimates for Case IV patterns
		𝑁12	𝑁21	𝑁12−𝑁21	𝛽^𝑃I	𝛽^𝑃′I	𝛽^𝑃bin	𝛽^𝐷𝑆	𝛽^𝑃II	𝛽^𝐹II
IV-(i)	1/7	10.5±3.2	10.5±3.2	−.05±3.12	.0012	.0055	.0256	.0361	.0565	.0525
	1/8	9.3±3.1	9.3±3.1	−.03±2.99	.0021	.0052	.0307	.0318	.0572	.0552
	1/9	8.2±3.0	8.2±3.0	.00±2.86	.0023	.0071	.0351	.0295	.0579	.0562
IV-(ii)	1/7	9.0±3.0	9.0±3.1	−.01±2.78	.0014	.0039	.0235	.0176	.0526	.0509
	1/8	8.1±3.0	8.1±3.0	−.02±2.70	.0015	.0064	.0312	.0192	.0609	.0583
	1/9	7.2±2.9	7.2±2.9	−.01±2.63	.0028	.0075	.0395	.0172	.0616	.0601
IV-(iii)	1/7	6.9±2.9	6.9±2.8	.01±2.42	.0014	.0039	.0286	.0070	.0496	.0470
	1/8	6.3±2.8	6.3±2.7	.02±2.37	.0020	.0061	.0345	.0094	.0539	.0518
	1/9	5.6±2.7	5.6±2.6	.01±2.30	.0027	.0074	.0392	.0070	.0590	.0565