In a sample of 3146 individuals from Finland, the numbers of A, B, O, and AB blo
ID: 20026 • Letter: I
Question
In a sample of 3146 individuals from Finland, the numbers of A, B, O, and AB blood group phenotypes observed were 1541, 160, 1422, and 23, respectively. These blood groups are due to three alleles, IA, IB, and IO, with IAIA and IAIO genotypes having blood group A; IBIB and IBIO genotypes having blood group B; and IOIO genotype having blood group O. Estimates of allele frequencies in the Finn sample are 0.2661 for IA, 0.0411 for IB, and 0.6928 for IO. Calculate the expected numbers of the four blood group phenotypes (A, B, AB and O). Hint: Consider a tri-allelic locus to test HW.Answer
a.
1383, 184, 69 and 1510
b.
1338, 184, 69 and 1500
c.
59, 4, 34 and 1510
d. 1580, 150, 1400 and 34
Explanation / Answer
In a sample of 3146 individuals from Finland, the numbers of A, B, O, and AB blood group phenotypes observed were 1541, 160, 1422, and 23, respectively. These blood groups are due to three alleles, IA, IB, and IO, with IAIA and IAIO genotypes having blood group A; IBIB and IBIO genotypes having blood group B; and IOIO genotype having blood group O. Estimates of allele frequencies in the Finn sample are 0.2661 for IA, 0.0411 for IB, and 0.6928 for IO. Calculate the expected numbers of the four blood group phenotypes (A, B, AB and O). Hint: Consider a tri-allelic locus to test HW.
blood group A---------- IAIA and IAIO genotypes
blood group B---------- IBIB and IBIO genotypes
blood group AB---------- IAIB genotypes
blood group 0---------- IOIO genotypes
blood group A---------- p allele
blood group B---------- q allele
blood group 0---------- r allele
(p+q+r)^2 = p^2+q^2+r^2+ 2pr+2pq+2qr
blood group A
p^2 +2pr
blood group B
q^2+2pr
blood group AB
2pq
blood group O
r^2
Estimates of allele frequencies in the Finn sample are
0.2661 = IA,
0.0411 =IB
0.6928 = IO.
Expected
Expected
blood group A
p^2 +2pr
(0.2661 x0.2661 + 2x 0.2661 x 0.6928) x 3146
0.0708+0.368=1382.69
1382
182
blood group B
q^2+2qr
(0.0411 x0.0411 +2 x0.0411x0.6928)x 3146
(0.001+0.0569) x 3146=182.30
69
blood group AB
2pq
(2 x0.2661 x0.0411) x3146
68.81
blood group O
r^2
(0.6928 x0.6928)x 3146
1509.99
1510
a.
1383, 184, 69 and 1510
blood group A
p^2 +2pr
blood group B
q^2+2pr
blood group AB
2pq
blood group O
r^2
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