If gene frequencies are in Hardy-Weinberg equilibrium, the genotypes AA, Aa and aa occur with probabilities (1-0)², 20(1-0) and 0². Suppose that on haptoglobin type in a sample of n people, n₁ individuals have genotypes AA, n₂ individuals have genotypes Aa and n3 individuals have genotypes aa: AA n1 Haptoglobin Type Aa N2 aa N3 Thus, (n1, n2, n3)T is multinomial with parameters n and (1 - 0)², 20(1 – 0) and 0². (a) Write down the likelihood function L(0) of 0. (b) Assume that the prior for is uniform between 0 and 1. Find the posterior distribution of given data n₁, n2 and n3. Is this a known distribution? (c) Find the Jeffrey's prior for 0.

If gene frequencies are in Hardy-Weinberg equilibrium, the genotypes AA, Aa and aa occur with probabilities (1-0)², 20(1-0) and 0². Suppose that on haptoglobin type in a sample of n people, n₁ individuals have genotypes AA, n₂ individuals have genotypes Aa and n3 individuals have genotypes aa: AA n1 Haptoglobin Type Aa N2 aa N3 Thus, (n1, n2, n3)T is multinomial with parameters n and (1 - 0)², 20(1 – 0) and 0². (a) Write down the likelihood function L(0) of 0. (b) Assume that the prior for is uniform between 0 and 1. Find the posterior distribution of given data n₁, n2 and n3. Is this a known distribution? (c) Find the Jeffrey's prior for 0.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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