Find the 95% profile likelihood Confidence Intervals for ß1 and ß2. (b) Compare the goodness of…

For the data given in Table 4.5 of Agresti (and provided also in file heart.csv), fit the model: log(µij/tij ) = a + ß1ai + ß2?j , i, j = 1, 2 where: Yij : Denote the number of deaths for age ai and valve type ?j , with expected value µij for total time at risk tij (months). a is the indicator variable for age, with a1 = 0 for the younger group, and a2 = 1 for the older group. ? is the indicator variable for valve type, with ?1 = 0 for aortic; and ?2 = 1 for mitral. (a) Find the 95% profile likelihood Confidence Intervals for ß1 and ß2. (b) Compare the goodness of fit of the model when the canonical link is used and when the identity link is used.

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