Research Article

Testing Spatial Symmetry Using Contingency Tables Based on Nearest Neighbor Relations

Table 3

The empirical significance levels of the symmetry tests under CSR independence Case  1: and Case  2: with at . and stand for the empirical significance levels for Pielou's first type of symmetry test using approximation with and without Yates' continuity correction, respectively; stands for the exact binomial version of Pielou's first type of symmetry test conditional on ; stands for the empirical significance level for Pielou's second type of symmetry test; stands for Dixon's symmetry test.

CSR independence Case  1

10 .0002 .0011 .0111 .0483 .0466
20 .0001 .0006 .0080 .0533 .0480
30 .0000 .0008 .0073 .0487 .0492
40 .0001 .0006 .0061 .0501 .0514
50 .0000 .0007 .0044 .0522 .0484

CSR independence Case  2

20 .0001 .0006 .0093 .0533 .0473
30 .0002 .0001 .0088 .0527 .0500
40 .0001 .0008 .0089 .0536 .0539
50 .0002 .0008 .0092 .0491 .0483
60 .0002 .0010 .0080 .0508 .0483