Statistics Final Exam

Choose one of the following options. This activity constitutes 30% of the final course grade. You are encouraged to participate in groups, but it is expected that the work you turn in is your own.

Option 2

Use the following output to answer these questions (20 points each part). The data set used in the analysis consists of 1,500 observations taken from the 1993 General Social Survey (GSS), which is conducted nationally by the National Opinion Research Center (NORC) at the University of Chicago. The variables are:

EDUC = respondent’s highest year of school completed

AGE = respondent’s age in years

SEX = respondent’s sex (1 = male, 2 = female)

HAPPY = general happiness (1 = very happy, 2 = pretty happy, 3 = not too happy)

POLVIEWS = think of oneself as liberal or conservative (1 = extremely liberal, …, 7 = extremely conservative)

CONEDUC = confidence in the institution of education (1 = a great deal, 2 = only some, 3 = hardly any)

TVHOURS = number of hours of TV watched daily

RACE2 = recoded race (0 = nonwhite; 1 = white)

1. What do you conclude from examining the data distributions for these variables (pp. 1-3 of the output) that would be important to know for the statistical analysis? How would this information help you with the analysis?
2. Explain what you learn from the correlation matrix (pp. 4-5 of the output) that helps to inform your conclusion about the results of Model A (summarized in the Analysis of Variance table and Parameter Estimates on p. 7 of the output).
3. What do you conclude about the validity of the Model A results from the information presented on pp. 6-8 of the output? Be specific about the evidence you use to arrive at your conclusion and how that evidence is interpreted.
4. The latter part of page 8 of the output presents the results from a reduced model (Model B). Can you construct a partial F test to compare these two models? Why, or why not? Explain how you arrived at your answer, and calculate and interpret the partial F value if it can be done.
5. Compare the results for Model B against the corresponding results for Model A, and explain which of these is the "better" model, and why. Defend your answer with specific information and explain why these are appropriate measures of model adequacy.

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