Mason is a sociology student who is interested in how city size influences how people interact with their neighbors. He has three groups in his dataset: (1) inner city dwellers, (2) suburban residents, and (3) rural residents. In his data the higher numbers indicate that people interact with their neighbors more.

a. Why is an ANOVA an appropriate statistical procedure for Mason to use?

b. What are the groups in this ANOVA?

c. What is the null hypothesis for this dataset?

d. Should he perform a one- or a two-tailed test with his data? Justify your response.

e. Find the Fcrit value for this ANOVA if α = .05.

f. Complete the information table below.

g. Complete the ANOVA table below.

h. Given the Fobs value, should he reject or retain the null hypothesis?

i. What is the p-value for this ANOVA?

j. Calculate and interpret the η2 value for these data.

k. Should he conduct a post hoc test of the data? Why or why not?

l. Find the critical q value for Tukey’s post hoc test for these data.

m. Find the HSD values in Tukey’s post hoc test for each pair of groups and interpret the HSD values.

n. Find the residuals (based on the group means) for each score in the dataset.

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Group A Group B Group C Total Score: 9. 3 Score: 11 1 Score: 7 4 5 Score: 12 5 4 Score: 11 4 ΣΥ E(r) N