Introduction to Bayesian Statistics

Description

Cover......Page 1 Contents......Page 7 Preface......Page 13 1 Introduction to Statistical Science......Page 17 2 Scientific Data Gathering......Page 29 3 Displaying and Summarizing Data......Page 47 4 Logic, Probability, and Uncertainty......Page 75 5 Discrete Random Variables......Page 99 6 Bayesian Inference for Discrete Random Variables......Page 125 7 Continuous Random Variables......Page 145 8 Bayesian Inference for Binomial Proportion......Page 165 9 Comparing Bayesian and Frequentist Inferences for Proportion......Page 185 10 Bayesian Inference for Poisson......Page 209 11 Bayesian Inference for Normal Mean......Page 227 12 Comparing Bayesian and Frequentist Inferences for Mean......Page 253 13 Bayesian Inference for Difference Between Means......Page 271 14 Bayesian Inference for Simple Linear Regression......Page 299 15 Bayesian Inference for Standard Deviation......Page 331 16 Robust Bayesian Methods......Page 353 17 Bayesian Inference for Normal with Unkown Mean and Variance......Page 371 18 Bayesian Inference for Mulrivariate Normal Mean Vector......Page 409 19 Bayesian Inference for the Multiple Linear Regression Model......Page 427 20 Computational Bayesian Statistics Including Markov Chain Monte Carlo......Page 447 A Introduction to Calculus......Page 493 B Use of Statistical Tables......Page 513 C Using the Included Minitab Macros......Page 539 D Using the Included R Functions......Page 559 E Answers to Selected Exercises......Page 581 References......Page 607 Index......Page 611