Bayesian Analysis for Poisson regression.

Use R software

- 2 - has been collected. The following table shows the number of deaths from Coronary heart disease among male doctors 10 years after survey. It also shows the total number of person- years of observation at the time of analysis. The primary objective of this study was to address the question " Is the death rate higher for smokers than non-smokers ?" AGE ! SMOKE | PERSON YEAR DEATH | Person Years $2407 32 52407 - - - 43, 248 104 43248 28 612 206 I 53 17 28612 186 18790 26 63 102 VI S W N - U S U N 106 73 5317 2 C O O 6 0 - 5710 18790 12 10 673 2585 28 5710 1468 2585 31 1462 Consider Poisson regression model y = deaths, and D = exp { log ( person years ) + Bot B, age + B, age? + 2 smoke + By (smoke xage )} Fit the model using Bayesian Approach. HIN Designmatrix x