|
|
Table 4.
Binomial tests comparing extensive and normal
forms
|
|
| Test |
Treatment
(Research hypothesis) |
Extensive form proposition,
xe/Ne* |
Normal
form proposition,
xn/Nn |
Unit
normal deviate approximation of
binomial |
P |
|
| 1 Left
play more likely |
Single (Extensive > matrix
normal) |
12/26 |
7/24 |
1.23 |
0.11
|
| 2 Left: Cooperation more likely |
Single (Extensive > matrix
normal) |
6/12 |
1/7 |
1.61 |
0.05 |
| 3 Right: Noncooperation
more likely |
Single (Extensive > matrix
normal) |
14/14 |
14/17 |
1.66 |
0.05 |
|
|
*xe is number of pairs playing
left branch in the extensive form out of a total of
Ne playing left or right.
|
|
xn is number of pairs playing left
branch in the normal form out of a total of Nn
playing left or right.
|
|
All tests are one-tailed based on a priori
prediction of which outcomes will be greatest.
|