Table 3. The sample space for the data in Table 1 where n 1 = n 2 = 10 without conditioning: combinations of y 1 and y 2 yield 11 × 11 = 121 possible configurations of tables.
The sample space with conditioning on the observed success total is in bold face.
| y 2 | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | ||
| y 1 | 0 | (0, 0) | (0, 1) | (0, 2) | (0, 3) | (0, 4) | (0, 5) | (0, 6) | (0, 7) | (0, 8) | (0, 9) | (0, 10) |
| 1 | (1, 0) | (1, 1) | (1, 2) | (1, 3) | (1, 4) | (1, 5) | (1, 6) | (1, 7) | (1, 8) | (1, 9) | (1, 10) | |
| 2 | (2, 0) | (2, 1) | (2, 2) | (2, 3) | (2, 4) | (2, 5) | (2, 6) | (2, 7) | (2, 8) | (2, 9) | (2, 10) | |
| 3 | (3, 0) | (3, 1) | (3, 2) | (3, 3) | (3, 4) | (3, 5) | (3, 6) | (3, 7) | (3, 8) | (3, 9) | (3, 10) | |
| 4 | (4, 0) | (4, 1) | (4, 2) | (4, 3) | (4, 4) | (4, 5) | (4, 6) | (4, 7) | (4, 8) | (4, 9) | (4, 10) | |
| 5 | (5, 0) | (5, 1) | (5, 2) | (5, 3) | (5, 4) | (5, 5) | (5, 6) | (5, 7) | (5, 8) | (5, 9) | (5, 10) | |
| 6 | (6, 0) | (6, 1) | (6, 2) | (6, 3) | (6, 4) | (6, 5) | (6, 6) | (6, 7) | (6, 8) | (6, 9) | (6, 10) | |
| 7 | (7, 0) | (7, 1) | (7, 2) | (7, 3) | (7, 4) | (7, 5) | (7, 6) | (7, 7) | (7, 8) | (7, 9) | (7, 10) | |
| 8 | (8, 0) | (8, 1) | (8, 2) | (8, 3) | (8, 4) | (8, 5) | (8, 6) | (8, 7) | (8, 8) | (8, 9) | (8, 10) | |
| 9 | (9, 0) | (9, 1) | (9, 2) | (9, 3) | (9, 4) | (9, 5) | (9, 6) | (9, 7) | (9, 8) | (9, 9) | (9, 10) | |
| 10 | (10, 0) | (10, 1) | (10, 2) | (10, 3) | (10, 4) | (10, 5) | (10, 6) | (10, 7) | (10, 8) | (10, 9) | (10, 10) | |