F2
Repulsion Progeny Part II
The A_B_ class has the proportion (p2
+2)/4 for repulsion linkage. Now let us find the proportion
for the other three classes.
| class |
proportion |
A_bb
phenotype |
| AAbb |
(1-p)2
4 |
| Aabb |
p(1-p)
4 |
| Aabb |
p(1-p)
4 |
(1-p)2
+ p(1-p) + p(1-p)
= 1 - 2p + p2
+ p - p2
+ p - p2
4 4 4 4
= -p2
+ 1 = 1 - p2
4 4
| class |
proportion |
| aaBB |
(1-p)2
4 |
| aaBb |
p(1-p)
4 |
| aaBb |
p(1-p)
4 |
(1-p)2
+ p(1-p) + p(1-p) = 1-p2
4 4
Finally there is only one combination that results
in the aabb genotype with probability p2/4.
Example
We can sum the probability of all genotypes that are
phenotypically A_B_ or A_bb or aaB_, or aabb.
| class |
A_B_ |
A_bb |
aaB_ |
aabb |
Total |
| observed |
a1 |
a2 |
a3 |
a4 |
|
| observed |
753 |
292 |
351 |
19 |
1415 |
| expectation |
p2
+ 2
4 |
1-p2
4 |
1-p2
4 |
p2
4 |
|
r = n, s = -a1
+ 2a2
+ 2a3
+ 2a4,
t = -2a4
r = 1415, s = -753 + 2(292) + 2(351)
+ 19 = 552, t = -2(19) = -38
