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. Author manuscript; available in PMC: 2007 Sep 18.
Published in final edited form as: Genomics. 2007 Apr 16;89(6):655–665. doi: 10.1016/j.ygeno.2007.02.002

Table 4.

Heuristic example of the failure of pairwise LD to capture higher-level LD. The four haplotypes occur with equal probability ¼ in the population. Pairwise LD, as measured by r2 (but true also of any measure of LD reviewed by Devlin and Risch 1995) fluctuates in a peculiar pattern and fails to capture the higher-level features of LD, namely that only 4 of the possible 32 haplotypes occur in the population

Loci
Haplotypes a b c d e
1 1 1 1 1 1
2 1 2 1 2 1
3 2 1 2 1 2
4 2 2 2 2 2
Disequilibrium
Loci a b c d e
a 0 1 0 1
b 0 0 1 0
c 1 0 0 1
d 0 1 0 0
e 1 0 1