Week 1 Likelihood Tests

• Introduction and Power
• Chapter 10.10
  
• Likelihood ratio tests
  
• Chapter 10.11

Week 2 Comparing the means of two samples

• More likelihood ratio tests
  
• Two sample tests
  
• Chapters  10.8,  pp. 523-525.
  

Week 3 Inference for variances

• Matched-pairs tests, independent samples versus paired tests
• Chapter 12.3
• Inference for variances
• Chapters 8.9 and 10.9

Week 4  Nonparametric Statistics

• Sign test
• Chapters 15.1, 15.2 and 15.3
• Wilcoxon Signed-Rank Test
• Chapters 15.4
  

Week 5

• Ranks for independent samples and Mann-Whitney U test
• Chapter 15.5 and 15.6
  
• Midterm: May 1 during lecture.

Week 6

• Runs test
• Chapter 15.9
• Link to historical Dow-Jones data
  
• Categorical data
• Chapters 14.1 and 14.2

Week 7 Categorical Data

• Pearson's chi-squared goodness of fit tests
• Chapter 5.9 and Chapters 14.3
• Contingency tables
• Chapters 14.4, 14.5  and 14.6

Week 8 Contingency Tables

• Multiway Contingency tables and Simpson's Paradox
• Conditional Probabilities in multinomial distributions
  

Week  9 Bayesian Statistics

• Bayesian Priors, Posteriors, Estimators
• Chapter 2.10 - Bayes Rule
  
• Chapter 16.2
• Bayesian estimators for normals

Week 10 Bayesian Inference

• Bayesian credible sets
  
• Chapter 16.3
  
• Bayesian Testing
• Chapter 16.4