1. Assume that you are given the task of testing for association between genotypes at a given locus (with two possible alleles a and A) and disease phenotype. The data consist of the following 100 family trios (M,F,O): 60 families of the type (aa,aA,aa) and 40 families of the type (aa,AA,aA).
a)Define the null and alternative hypotheses.
b)Code all genotypes by using the number of A alleles in the genotypes.
c)Calculate the conditional expectation and conditional variance of the number of A alleles in the offspring genotypes for all family trios.
d)Combine the information from all families into the classic FBAT statistic
e)Calculate the p-value of the test.
f)Summarize your findings in a paragraph.
[url removed, login to view] X1, X2, K, Xn: Gamma(theta, 2)
a) The likelihood of the data
b) The log-likelihood of the data
c) The first derivative of the log-likelihood (the score function)
d)The maximum likelihood estimate of theta
e)The maximum likelihood estimate of 2 theta cubed.