3. A cancer laboratory is estimating the rate of tumorigenesis in two strains of mice, A and B. They have tumor counts for 10 mice in strain A and 13 mice in strain B. Type A mice have been well studied, and information from other laboratories suggests that type A mice have tumor counts that are approximately Poisson-distributed with mean 12. Tumor count rates for type B mice are unknown, but type B mice are related to type A mice. The observed tumor counts for the two populations are
YA = (12, 9, 12, 14, 13, 13, 15, 8, 15,6);
YB = (11, 11, 10, 8, 8, 8, 7, 10, 6, 8, 8, 9,7).
Hints: R code
>y. A <- c(12, 9,12,14,13, 13, 15, 8, 15, 6)
>y. B <- c(11,11,10, 8, 8, 8, 7,10, 6, 8, 8, 9, 7)
Assume a Poisson sampling distribution for each group and the prior distribution:
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