1. Section 10.4 Analysis of Variance

2. Section 10.4 Objectives Use one-way analysis of variance to test claims involving three or more means Introduce (mention very briefly) two-way analysis of variance

3. One-Way ANOVA One-way analysis of variance Analysis of variance is usually abbreviated ANOVA.

4. One-Way ANOVA One-way analysis of variance A hypothesis-testing technique that is used to compare means from three or more populations.

5. One-Way ANOVA One-way analysis of variance Hypotheses:  H 0 : μ 1 = μ 2 = μ 3 =…= μ k (all population means are equal)  H a : At least one of the means is different from the others.

6. One-Way ANOVA In a one-way ANOVA test, the following must be true. 1.Each sample must be randomly selected from a normal, or approximately normal, population. 2.The samples must be independent of each other. 3.Each population must have the same variance.

7. Two-Way ANOVA Two-way analysis of variance A hypothesis-testing technique that is used to test the effect of two independent variables, or factors, on one dependent variable.

8. Section 10.4 Summary Discussed (briefly) one-way analysis of variance to test claims involving three or more means Introduced (barely) two-way analysis of variance