POLS 6482 ADVANCED MULTIVARIATE STATISTICS
Due 15 October 2001
This problem is a continuation of 1.c of the 3rd homework,
2 of the 4th homework, and 2 of the 5th homework. I made
some additional corrections in the file so download the new version:
105th Elections Data by Congressional
Paste the dataset into EVIEWS and call it
HDMG105Z.WF1. Recall that HDMG105Y.WF1 has a big outlier and that we discussed it in class.
Specifically, below are the results of:
The aim of this problem is to learn more about coefficient tests
in EVIEWS and
STATA using the Cigarette data discussed in Epple Notes V.
Download the data and bring it up in
SCAT CLINT96 DOLE96
using HDMG105Y.WF1. Explain how you would use EVIEWS commands to find
the outlier. Give the commands exactly as you would type them in
along with a commentary on the results. Tell me the exact data error
and verify that it is corrected in HDMG105Z.DTA/HDMG105Z.WF1. Turn in the corresponding
SCAT CLINT96 DOLE96 command for
Recall that dwnom1 is a measure of economic
liberalism/conservatism of the member of Congress and it ranges from -1 (liberal) to
+1 (conservative). In EVIEWS regress the following
variables on dwnom1:
LS dwnom1 C black hisp income rep female aamer himem
Do the results make sense to you? Explain your answer.
Look at the distribution of the error terms with the
HIST command; namely:
Interpret the results (be specific!).
On the toolbar of the regression table that you just ran there is a
button labeled "Forecast". Click on that button and then click on "OK". This
creates the y-hat's using the vector dwnom1f. On the
toolbar of the graph that comes up showing the y-hat's is a button labeled "Resids".
Click on that button and you will see a plot of the
residuals. Note that the residuals are plotted in order of observation.
Use the SHOW command to find the large residuals;
show resid dwnom1 dwnom1f black hisp income rep female aamer himem
There are three residuals larger than 0.45 and one smaller than -.4. Find them and
report the observation number and the value of the residual.
Create a new variable that contains the residuals:
Now, edit cheatresid and set the four large residuals to zero.
To do this first enter the command:
and then click on "Edit+/-" button on the toolbar. This allows you to make changes
in cheatresid. Replace the four large residuals with zeroes
and enter the command:
What has changed? Be specific.
Go into STATA, open the data editor, and
look at the observations corresponding to the four residuals. Report the name of
the member of the House, the State, congressional district, and political party.
What do the representatives corresponding to the three large postive residuals have
Replicate the analyses performed in Epple Notes V-3 to
V-7. Note that the WALD test discussed on V-3 to V-7 can also be performed using the
"view" button as described in Epple Notes IV-18 to IV-19.
Perform the Wald Test:
bweight = 0
Answer the question on page V-7 of the Epple Notes.
Find the eigenvalues of the correlation matrix of
Use the method shown in 3.c. of the 2nd homework.
Interpret the pattern of the eigenvalues. What do you think is the best
specification to predit carbon monoxide?