Table 3. There are artificial data which have some sums of symmetric cells zero (i.e. $n_{13}+n_{31}=0$ and $n_{24}+n_{42}=0$ in (a), $n_{13}+n_{31}=0$ and $n_{34}+n_{43}=0$ in (b), and $n_{13}+n_{31}=0$ and $n_{25}+n_{52}=0$ in (c)).

	Y
X	1	2	3	4	5
(a)
1	11	21	0	14	6
2	21	4	23	0	25
3	0	23	33	12	15
4	14	0	12	16	9
5	6	25	15	9	10
(b)
1	2	12	0	5	6
2	0	22	6	16	25
3	0	0	27	0	8
4	0	0	0	44	20
5	0	0	0	0	25
(c)
1	11	0	0	0	0
2	3	4	0	0	0
3	0	9	27	0	0
4	5	42	34	8	0
5	15	0	35	20	55