1. Session 22 University of Southern California ISE500 November 6, 2014 Geza P. Bottlik Page 1 Outline Questions, Comments? Chapter 9 – comparisons Bayes’ Continuous distributions

2. Session 22 University of Southern California ISE500 November 6, 2014 Geza P. Bottlik Page 2 Comparisons Why are comparisons important? What kind of things would we want to compare?

3. Session 22 University of Southern California ISE500 November 6, 2014 Geza P. Bottlik Page 3 Examples of comparisons Previous Semester

4. Session 22 University of Southern California ISE500 November 6, 2014 Geza P. Bottlik Page 4

5. Session 22 University of Southern California ISE500 November 6, 2014 Geza P. Bottlik Page 5 Normal, known standard deviation

6. Session 22 University of Southern California ISE500 November 6, 2014 Geza P. Bottlik Page 6 What if you don’t know the standard deviations?

7. Session 22 University of Southern California ISE500 November 6, 2014 Geza P. Bottlik Page 7 What if you don’t know the standard deviations? (if samples are sufficiently large)

8. Session 22 University of Southern California ISE500 November 6, 2014 Geza P. Bottlik Page 8 But what if the samples are smaller?

9. Session 22 University of Southern California ISE500 November 6, 2014 Geza P. Bottlik Page 9 But what if the samples are smaller?

10. Session 22 University of Southern California ISE500 November 6, 2014 Geza P. Bottlik Page 10

11. Session 22 University of Southern California ISE500 November 6, 2014 Geza P. Bottlik Page 11 If the variances are not equal

12. Session 22 University of Southern California ISE500 November 6, 2014 Geza P. Bottlik Page 12 Paired or unpaired?

13. Session 22 University of Southern California ISE500 November 6, 2014 Geza P. Bottlik Page 13 Proportions, m and n large

14. Session 22 University of Southern California ISE500 November 6, 2014 Geza P. Bottlik Page 14 Bayes applied to normal