1. Finals Schedule n Section 1: 9:00 AM Monday, May 15

2. Post Hoc Tests Chapter 14 Homework: problem 1

3. Interpreting ANOVA n ANOVA: testing omnibus null hypothesis H 0 :  1 =  2 =  3 = … =  k n Accept H 0 l all possible pairwise and complex H 0 are true n Reject H 0 l at least one is false l do not know which one(s) ~

4. Post Hoc Tests n Post hoc: after the fact l only after rejecting ANOVA H 0 n Hypothesis tests l Determine which means differ from each other l or combination of means u complex hypotheses n several different types of post hoc tests ~

5. Post Hoc Tests n Cannot use t test must set  before collecting and examining data n e.g., flip a coin l P(heads), before you flip? l P(heads) if you flip and peek? n ANOVA then t test is like peeking P(Type 1 error) no longer  =.05 ~

6. Post Hoc Test: Tukey’s HSD n HSD: honestly significant difference n Use to test pairwise H 0 l only after significant ANOVA n Test statistic is Q l studentized range statistic (A.5, p480) ~

7. Post Hoc Test: Tukey’s HSD n MS W is mean squared within groups l s 2 pooled l unequal n use MS W from ANOVA ~

8. Tukey’s HSD: Q CV Table A.5, p. 480 (  =.05) p. 481 (  =.01) l need 2 pieces of information n 1st column: df W l (n G - k) n 1st row: k = # groups l NOT df B = k - 1 n Find Q CV same as others ~