Build the Bayesian Armitage Sample Clauses

Build the Bayesian Armitage. Doll Multistage Carcino- genesis Model To develop a Bayesian model, we need to make selections for the prior distribution and also obtain likelihood from the data we are using. In this project, I use two different prior settings in deriving the Bayesian Armitage-Doll multistage model. The first prior used is the conjugate prior where the posterior distribution is in the same family as the prior distribution. A conjugate prior gives a closed-form expression for the posterior and posterior modes could be conveniently derived from the expression. The normal-inverse-gamma(NIG) distribution will be used as a conjugate prior for the normal linear model. The second prior used is the noninformative prior which is the default choice in many situations when no reliable information concerning the parameter is available.
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