Probability of identity-in-state | Maximum-likelihood estimates | |||||||
---|---|---|---|---|---|---|---|---|
True relatedness | Segregating alleles (n) | |||||||
Identity-in-state mode | No. of allelic combinations | Δ_{7} = 1 | Δ_{8} = 1 | Δ_{9} = 1 | 2 | 3 | 4 | ≥5 |
n | ||||||||
n(n - 1) | 0 | 0 | ||||||
n(n - 1) | 0 | {Δ_{8}, Δ_{9}} | ||||||
½n(n - 1)(n - 2) | 0 | 0 | ||||||
n(n - 1) | 0 | {Δ_{8}, Δ_{9}} | ||||||
½n(n - 1)(n - 2) | 0 | 0 | ||||||
½n(n - 1) | ||||||||
n(n - 1)(n - 2) | 0 | {Δ_{8}, Δ_{9}} | ||||||
¼n(n - 1)(n - 2)(n - 3) | 0 | 0 |
The number of different combinations for each identity-in-state mode are given, together with the total probability of observing all such patterns given true relatedness corresponding to monozygotic twins (Δ_{7} = 1), parent-offspring (Δ_{8} = 1), and unrelated individuals (Δ_{9} = 1). The final columns list the maximum-likelihood estimates obtained for each possible identity-in-state mode given observations on a single locus and n equally frequent alleles segregating in the population. Cases designated by {Δ_{8}, Δ_{9}} correspond to situations in which the estimate is indeterminant and any linear combination of the two maximizes the likelihood.