Table 7.

Cograduation (M, left) and countergraduation (W, right) tables based on the margins of the joint distribution displayed in Table 6

X, Y	1	2	3	4	Total	X, Y	1	2	3	4	Total
1	0.1	0.15	0	0	0.25	1	0	0	0	0.25	0.25
2	0	0.05	0.2	0	0.25	2	0	0	0.1	0.15	0.25
3	0	0	0.1	0.15	0.25	3	0	0.05	0.2	0	0.25
4	0	0	0	0.25	0.25	4	0.1	0.15	0	0	0.25
Total	0.1	0.2	0.3	0.4	1	Total	0.1	0.2	0.3	0.4	1

Note that being the distribution of X symmetrical, we have that $p_{i,j}^M=p_{I-i+1,j}^W$, $\forall i=1,\cdots ,4$, with $I=4$