a. | ||||||||
AA | Aa | aa | ||||||
MM | Mm | mm | MM | Mm | mm | MM | Mm | mm |
g 11 | g 12 | g 13 | g 21 | g 22 | g 23 | g 31 | g 32 | g 33 |
Q 2 | 2Q(1-Q) | (1-Q)2 | QR | Q + R-2QR | (1-Q)(1-R) | R 2 | 2R(1-R) | (1-R)2 |
where Q = p + D/q and R = p - D/(1-q) | ||||||||
b. | ||||||||
MM | Mm | mm | ||||||
AA | Aa | aa | AA | Aa | aa | AA | Aa | aa |
h 11 | h 12 | h 13 | h 21 | h 22 | h 23 | h 31 | h 32 | h 33 |
Q 2 | 2Q(1-Q) | (1-Q)2 | QR | Q + R-2QR | (1-Q)(1-R) | R 2 | 2R(1-R) | (1-R)2 |
where Q = q + D/p and R = q - D/(1-p) | ||||||||
c. | ||||||||
Cases | Controls | |||||||
MM | Mm | mm | MM | Mm | mm | |||
AA | f 1 × g 11 | f 1 × g 12 | f 1 × g 13 | (1-f 1 ) × g 11 | (1-f 1 ) × g 12 | (1-f 1 ) × g 13 | ||
Aa | f 2 × g 21 | f 2 × g 22 | f 2 × g 23 | (1-f 2 ) × g 21 | (1-f 2 ) × g 22 | (1-f 2 ) × g 23 | ||
aa | f 3 × g 31 | f 3 × g 32 | f 3 × g 33 | (1-f 3 ) × g 31 | (1-f 3 ) × g 32 | (1-f 3 ) × g 33 | ||
#observed | n 11 | n 12 | n 13 | n 21 | n 22 | n 23 |