STATISTICS

(b) An experiment for comparing three drugs involved random allocation of 12 mice to one of these drugs and taking measurements on the degree of reactions (in some units) after 24 days. The response measurements {y1, 1/2, . .. , 1/12} are as follows. Drug 1 Drug 2 Drug 3 4.4 2.1 1.5 3.5 2.7 2.4 5.6 2.4 0.9 6.1 0.4 3.4 The aim of this experiment is to analyse the differences in effects of these three drugs. (i) Identify mathematically a GLM that might fit this data. You should carefully state the model, link function and covariates. [6] (ii) Construct the design matrix for this model. [6] (iii) Write down the expression for the log-likelihood function of the above model in the standard form. [8]