This textbook on Bayesian Statistics can be used to teach an upper division statistics course, a master's level course, a Ph.D. level course or used independently by researchers. It emphasizes the art of data modeling and analysis over technicalities and is rich with technical demonstrations available to Ph.D. students who need them and to others who are interested in them. The new edition features new material and new exercises and shifts the software focus from WinBUGS to OpenBUGS.