Note Your answers to the questions below should follow the expectations for homework found here. Due date is on the Dates page.

ANOVA Table I

Source df SS MS F p-value
Among          
Within 24 35088   - -
Total 31 70907 - - -
  1. Complete the missing cells in the ANOVA table above. Show your work. [Note that you do not need R for this, beyond using distrib() to compute the p-value.]
  2. How many groups were in this analysis?
  3. How many individuals were in this analysis?
  4. What is the estimate of the pooled variance among individuals in each group?
  5. What is the estimate of the variance among individuals if groups are ignored?
  6. Is there a significant difference among the group means? [Provide statistical evidence to support your answer]

ANOVA Table II

A study was conducted that included 54 individuals that were evenly allocated to 6 treatment groups. The authors reported that the variance among all 54 individuals (ignoring group membership) was 47.33 and that the combined variance of individuals in each group was 33.78.

  1. Use this information to construct an ANOVA table. Show your work. [Note that you do not need R for this, beyond using distrib() to compute the p-value.]
  2. Is there a significant difference in means among the group means? [Provide statistical evidence to support your answer]

More practice is available here.