**
POLS 6482 ADVANCED MULTIVARIATE STATISTICS
Sixth Assignment
Due 15 October 2001**

**
**

- This problem is a continuation of 1.c of the 3
^{rd}homework, 2 of the 4^{th}homework, and 2 of the 5^{th}homework. I made some additional corrections in the file so download the new version:

105th Elections Data by Congressional District (HDMG105Z.DTA)

- 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:

**SCAT CLINT96 DOLE96**

using HDMG105Y.WF1. Explain how you would use**EVIEWS**commands to find the outlier. Give the commandsas you would type them in along with a commentary on the results. Tell me the*exactly*data error and verify that it is corrected in HDMG105Z.DTA/HDMG105Z.WF1. Turn in the corresponding*exact***SCAT CLINT96 DOLE96**command for HDMG105Z.WF1.

- 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**:**black**,**hisp**,**income**,**rep**,**female**,**aamer**, and**himem**. Namely:

**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:

**HIST RESID**

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.Use the*Note that the residuals are plotted in order of observation*.**SHOW**command to find the large residuals; specifically:

**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:

**GENR cheatresid=resid**

Now, edit**cheatresid**and set the four large residuals to zero. To do this first enter the command:

**SHOW cheatresid**

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:

**HIST cheatresid**

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 in common?

- Paste the dataset into
- 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**EVIEWS**:

Cigarette Data

- 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:

**b**_{nicot}= b_{weight}= 0

- Answer the question on page V-7 of the Epple Notes.

- Find the eigenvalues of the correlation matrix of
**nicotine**,**tar**, and**weight**. Use the method shown in 3.c. of the 2^{nd}homework.

- Interpret the pattern of the eigenvalues. What do you think is the best
specification to predit carbon monoxide?

- 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.