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Part II. Choosing Statistical Tests, conducting those tests and interpreting the results of those tests
- Do religious vs. non-religious people’s attitudes toward abortion differ after controlling for gender, years of education, and annual income? We will explore this problem using the 2014 General Social Survey. (25 PTS TOTAL)
There is a data file on the CCLE course website named FINALPARTII6 containing the data you will use to conduct the statistical test that you choose. The following variables are in the file:
ab_attitude: attitudes toward abortion scale (it is a scale range from 0-7: 0 refers to strongly oppose abortion and 7 refers to strongly support abortion)
sex: gender of respondents (Note: you should recode this variable into a dichotomous variable. See part g) below for details)
Educ: years of education
inc: annual income (in thousands of dollars)
religion: religious affiliation (Note: you should recode this variable into a dichotomous variable. See part g) below for details. Categorize people whose religious preference is “none” as non-religious; categorize people with any religious preference as religious; Treat people whose response is missing as missing
a) Identify the EV (1 PT)
Answer:
The explanatory variable is religious affiliation (religion)
b) Identify the RV (1 PT)
Answer:
The response variable is attitudes toward abortion scale(ab_attitude)
c) Identify the CVs (1 PT)
Answer:
The covariates are gender(sex), years of education (Educ), and annual income(inc).
d) state a hypothesis about the direction of the expected association between the EV and the RV that you identified in a and b above, after controlling for the CVs you identified in c above. You are not being asked to state null and alternative hypotheses here. Just state the hypothesis that you would as the researcher conducting this study
(2 PTS)
Answer:
We expect that the non-religious people are more in opposition to abortion and hence we hypothesize that religious people’s attitudes toward abortion are lower than vs. non-religious people’s after controlling for gender, years of education and annual income
e) identify the statistical test that will appropriately test whether or not the EV and RV are associated in the population after controlling for the CV(s), and explain why you chose this particular test
(2 PTS—1 PT FOR THE CORRECT CHOICE OF TESTS, 1 PT FOR RATIONALE)
2> Create a new dichotomous variable “recode_relig” based on the value of religion. Specifically, if religion = “none”, the respondent should be categorized as non-religious (i.e. recode_relig = 0); if the respondent has any religious preference according to religion, the individual should be categorized as religious (i.e. recode_relig = 1); if religion = missing, let recode_relig equal to missing too. Label 0 as “non-religious”, label 1 as “religious.”
After doing these, please run the following lines in STATA and paste the output below.
tabulate female, m
tabulate recode_relig, m
(2 PTS)
Answer:
{`female | Freq. Percent Cum.
------------+-----------------------------------
Male | 1,141 44.96 44.96
Female | 1,397 55.04 100.00
------------+-----------------------------------
Total | 2,538 100.00
recode_relig | Freq. Percent Cum.
--------------+-----------------------------------
Non-Religious | 522 20.57 20.57
Religious | 1,998 78.72 99.29
. | 18 0.71 100.00
--------------+-----------------------------------
Total | 2,538 100.00
`}
h) Conduct the statistical test you chose in part e above in STATA using the data provided on the CCLE course website. For gender and religion, you should use newly created variables, in other words, use female instead of sex, use recode_relig instead of religion. Paste your output here (make sure you use Courier New and adjust the font to make the output align well)
(2 PTS)
Answer:
The output is as follows:
{`
. regress ab_attitude recode_relig female educ inc
Source | SS df MS Number of obs = 899
-------------+---------------------------------- F(4, 894) = 29.32
Model | 662.869188 4 165.717297 Prob > F = 0.0000
Residual | 5052.20311 894 5.65123391 R-squared = 0.1160
-------------+---------------------------------- Adj R-squared = 0.1120
Total | 5715.0723 898 6.36422305 Root MSE = 2.3772
------------------------------------------------------------------------------
ab_attitude | Coef. Std. Err. t P>|t| [95% Conf. Interval]
-------------+----------------------------------------------------------------
recode_relig | -1.240613 .1876966 -6.61 0.000 -1.60899 -.8722359
female | .2650195 .1679037 1.58 0.115 -.0645119 .5945509
educ | .1805946 .0298914 6.04 0.000 .1219291 .2392601
inc | .0057325 .0020815 2.75 0.006 .0016474 .0098176
_cons | 2.536007 .4342345 5.84 0.000 1.683769 3.388244
------------------------------------------------------------------------------
`}