5 Linkage Equilibrium

5.1 Use a chi-square test to determine if each of the following pairs of loci are in linkage equilibrium, given observed two-locus genotype counts (critical value = 9.488):
a)
AA Aa aa
BB 25 10 10
Bb 50 30 20
bb 50 20 30

b)

AA Aa aa
BB 60 35 5
Bb 120 74 9
bb 60 34 6

c)

AA Aa aa
BB 6 11 7
Bb 12 25 15
bb 5 13 7

d)
AA Aa aa
BB 1 10 14
Bb 40 5 5
bb 6 8 16

5.2 Calculate the coefficient of disequilibrium, D, given haplotype frequencies.
a)
f(AB) f(Ab) f(aB) f(ab)
0.2 0.2 0.4 0.2

b)
f(AB) f(Ab) f(aB) f(ab)
0.0 0.3 0.4 0.3

c)
f(AB) f(Ab) f(aB) f(ab)
0.1 0.1 0.4 0.4

d)
f(AB) f(Ab) f(aB) f(ab)
0.25 0.2 0.15 0.4