The information contained in multiple sibling pairs

✍ Scribed by Susan E. Hodge; D. C. Rao

• Book ID: 102843621
• Publisher: John Wiley and Sons
• Year: 1984
• Tongue: English
• Weight: 659 KB
• Volume: 1
• Category: Article
• ISSN: 0741-0395
• DOI: 10.1002/gepi.1370010203

✦ Synopsis

In a sibship of size s, s(s-1)/2 sib pairs can be formed, but these pairs are statistically dependent when s > 2. This study examines how much independent information is obtained when all possible pairs are used to evaluate the sharing of genes identical by descent. A logarithmic measure of information, C pilog2pi [Shannon, 19481, is used. The basic unit of information is the binomial "bit," or the amount of information in the toss of a fair coin. It is shown that a single independent sib pair contains 1.5 bits. The complete sibship contains a total of 2s-3+(1/2)'-' bits, or (2s-3 +(1/2)'-')/1.5 pair-equivalents of information. The information is reduced if all sib genotypes do not occur with equal probability.