Analysis of variance and post-hoc comparisons

STA 112. Practice questions, not past papers.

Lessons

• Compare several population means
• Compute the ANOVA table

Practice questions

1. The one-way ANOVA alternative states what?

   Statistics study edition practice item Q211; Source: S60, S62-63, S65

2. The ANOVA F statistic is what?

   Statistics study edition practice item Q212; Source: S60, S62-63, S65

3. With k groups and N observations, error degrees of freedom are what?

   Statistics study edition practice item Q213; Source: S60, S62-63, S65

4. What is the role of a post-hoc procedure after an omnibus comparison?

   Statistics study edition practice item Q214; Source: S60, S62-63, S65

5. ANOVA has N=22 observations in k=4 groups. Find error degrees of freedom.

   Statistics study edition practice item Q215; Source: S62

6. Groups are (2,4), (5,7), (8,10). Find between-group sum of squares. Give the value to 4 decimal places.

   Statistics study edition practice item Q216; Source: S62, S65

7. For the same three groups, SSB=36, SSE=6, N=6 and k=3. Find F. Give the value to 4 decimal places.

   Statistics study edition practice item Q217; Source: S62, S65

8. The ANOVA ratio is MS between divided by MS _____.

   Statistics study edition practice item F069; Source: S60, S62-63, S65

9. ANOVA error degrees of freedom are N minus _____.

   Statistics study edition practice item F070; Source: S60, S62-63, S65

10. For N=22 and k=4 in one-way ANOVA, error df=_____.

    Statistics study edition practice item F071; Source: S60, S62-63, S65

Topic gap report