Extend the analysis in Exercise 4 by conducting an analysis of the association between REGION and MDE separately for each of the four race groups (defined by the NCS-R variable RACECAT). Then, answer these questions:
a. When the race groups are analyzed separately, does the association (or lack thereof) between REGION and MDE continue to hold? Provide the design-adjusted F-statistic and p-value for each of the race-specific analyses to support your answer.
b. If the answer to part a is no, how do you explain this pattern of results?
Conduct a similar analysis of the association between U.S. REGION (REGION: 1 = Northeast, 2 = North central, 3 = South and 4 = West) and MDE status, estimating the row proportions in a two-way contingency table. Then, answer the following questions:
a. Is there a significant association between REGION of residence and MDE status in the NCS-R target population? Provide the Rao–Scott design-adjusted F-statistic (including the appropriate degrees of freedom) and a p-value for the test statistic to support your decision.
b. What proportion of the NCS-R survey population in the North Central region has a diagnosis of MDE? Provide a point estimate and 95% confidence interval for the proportion. What are the corresponding estimates of the proportion with MDE and the 95% CI for the NCS-R population that resides in the South region?