Question: 12. Write an R program to reanalyze the flour beetle mortality data in Table 3.3, replacing the multivariate Metropolis algorithm used in Example 3.7 with

12. Write an R program to reanalyze the flour beetle mortality data in Table 3.3, replacing the multivariate Metropolis algorithm used in Example 3.7 with

(a) a Hastings algorithm employing independence chains drawn from a N(θ˜, Σ) candidate density, where ˜ θ˜ = (1.8, −4.0, −1.0) (roughly the true posterior mode) and Σ as given in (3.17). ˜

(b) a univariate Metropolis (Metropolis within Gibbs) algorithm using?

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