Exercise 1:
On the basis of these results, are people who took the more conservative view on helping the poor more likely to classify themselves as conservatives, and vice versa? Yes or No. ______________
Obtain the significance level, and Kendalls tau-b, and write them in the spaces provided.
Prob. = ___________
Kendalls tau-b = ________________
Is this relationship statistically significant? Yes or No. _______________
Do you reject the null hypothesis? Yes or No. __________________
Exercise 2:
Relationship Between Conservative Self-Classification and Conservatism on Economic Issues by Education Category
EDUCATION CATEGORY KENDALLS TAU-B PROB
NO HS GRAD 0.092 0.072
HS GRAD _______________ ___________
COLL EDUC _______________ ___________
Examine these results and the original results you obtained before controlling for education. Does the control variable, education, affect the relationship between conservative self-identification and conservatism on economic issues? Yes or No. __________________________
If you answered yes above, describe how the relationship between conservative self-identification and conservatism on economic issues varies by education level. If you answered no, explain why you think education had no impact on the relationship between conservative self-identification and conservatism on economic issues.
__________________________________________________________________________________________________________________________________________________________________________
Exercise 3:
Write the column percentages in the following table.
Fundamentalist Moderate Liberal
Kerry ____% ______% ____%
Bush ____% ______% ____%
Which religious tradition shows the lowest support for the Democratic candidate, Perry? Circle one.
Fundamentalists Moderates Liberals
Which religious tradition shows the highest support for the Republican candidate, Bush? Circle on.
Fundamentalists Moderates Liberals
Write in the significance level for this relationship. Prob. = __________________
Write in Cramers V for this relationship. Cramers V = ____________________
Is this relationship statistically significant? Yes or No. ________________
Do you reject the null hypothesis that there is no relationship between 2004 presidential voting choice and the liberalism of the respondents religious tradition? Yes or No. ___________________
Exercise 4:
The first table shows the relationship between 541) WHO IN 04? and 116) R.FUND/LIB for white Americans. Write column percentages in the following table, which is labeled Control Category: White. Also, check the summary statistics and write in the significance level and Cramers V.
Control Category: White
Fundamentalist Moderate Liberal
Kerry ____% ______% ____%
Bush ____% ______% ____%
Prob. =_____________
Cramers V = _______
Among white Americans, is the relationship statistically significant? Yes or No. _____________
Now move to the next table and write the column percentages in the table that is labeled Control Category: African American. Again, write in the significance level and Cramers V.
Control Category: African Americans
Fundamentalist Moderate Liberal
Kerry ____% ______% ____%
Bush ____% ______% ____%
Prob. =_____________
Cramers V = _______
Among African Americans, is the relationship statistically significant? Yes or No. _____________
Exercise 5:
To compare the percentages in the tables, it is often helpful to compare a particular row from each table. Here, lets compare the Kerry row from all tables, including the original table before we controlled for anything. In the following table, write in the percentages from the Kerry row from each of the preceding tables. To provide a starting point, the percentages from the original table have been provided.
Fundamentalist Moderate Liberal
Original Table __40.7__% __45.0____% __56.3__%
White Americans ____% ______% ____%
African Americans ____% ______% ____%
Compare the results that you just wrote in this table for whites and African Americans. Are the patterns in those percentages basically the same as or basically different from each other? Circle on.
Basically the same Basically different
Among white Americans, which group was least likely to vote for Kerry? Circle one.
Fundamentalists Moderates Liberals
Among African Americans, which group was most likely to vote for Kerry? Circle one.
Fundamentalists Moderates Liberals
Given these results, which of the following statements is most accurate?
a. There is no important difference between white Americans and African Americans in terms of the relationship between 2004 presidential voting choice and liberalism of the respondents religious tradition.
b. The relationship follows the same basic pattern among white Americans and African Americans, but it is a stronger relationship among white Americans.
c. Among white Americans, the more liberal the religious tradition form which one comes, the more likely one is to vote for Kerry; however, African Americans voted overwhelmingly for Kerry regardless of religious tradition. Further, among African Americans, to the extent that there was any difference among the three religious traditions, it was the opposite of the pattern among white Americans.
On the basis of that comparison of percentages, does race affect the relationship between 2004 presidential voting choice and liberalism of the respondents religious tradition? Yes or No. _____________
Exercise 6:
Go back to the table for whites and the table for African Americans and, in the following table, write the Cramers V and the significance level for each.
Cramers V Significance Level
Original Table .128 .000
White Americans _______ ______
African Americans _______ ______
Which of the following conclusions is most justified by the results?
a. The relationships are basically the same for all the categories of the control variable and for the original table. Thus, the control variable does not affect the relationship between 2004 presidential voting choice and liberalism of the respondents religious tradition.
b. The relationship between 2004 presidential voting choice and liberalism of the respondents religious tradition is different for white Americans and African Americans. Specifically, among white Americans, liberalism of ones religious tradition is related to 2004 presidential voting choice; that relationship does not exist among African Americans.
Exercise 7:
Compare the column percentages horizontally. Are these results in accord with what we hypothesized? Yes or No. ___________________
Exercise 8:
Prob. = ______________
Kendalls tau-b = _______________
Is the relationship between degree of conservative self-identification and support for increased governmental services statistically significant? Yes or No. _________________
Do you reject the null hypothesis? Yes or No. __________________
Exercise 9:
Percentages Classifying Themselves as Conservatives by Level of Support for Increased Government Services by Political Information level
More Services Same Fewer Services Kendalls Tau-B Prob.
High Pol. Inf. 18.4% ______% ________% _______ ______
Av. Pol. Inf. ______% ______% ________% _______ ______
Low Pol. Inf. ______% ______% ________% _______ ______
Exercise 10:
Examine the preceding results. Which of the following conclusions is most appropriate? (Circle the letter of your choice)
a) The level of political information of respondents has no effect on the relationship between degree of conservative self-identification and support for increased governmental services.
b) The level of political information of respondents affects the relationship between degree of conservative self-identification and support for increased governmental services: The higher the level of political information of respondents, the stronger the relationship between degree of conservative self-identification and support for increased governmental services.
c) The level of political information of respondents affects the relationship between degree of conservative self-identification and support for increased governmental services: The higher the level of political information of respondents, the weaker the relationship between degree of conservative self-identification and support for increased governmental services.
Exercise 11:
We need ordinal statistics here. Write the significance level for this relationship.
Prob. = _______
Is this relationship statistically significant? Yes No
Exercise 12:
How many of these four tables still have a warning about a potential significance problem? (Circle one.)
None One Two Three All Four
Exercise 13:
How many of these four tables still have a warning about a potential significance problem? (Circle onne).
None One Two Three All Four
In that situation, did collapsing the variables reduce the number-of-cases problem that can occur when we examine a relationship between two variables while controlling for one or more other variables?
Yes No
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