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b) Conduct a Hausman test to determine which model is appropriate FE or RE

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

Homework One

Panel Data – Fixed and Random Effect Models

1. Data Set: Grunfeld

a)      Run an OLS Model with all data without any panel options

The OLS Model:         

Copy-paste the Eviews Estimation window here.

b)     Conduct a Hausman test to determine which model is appropriate FE or RE.

Copy-Paste the test result window from Eviews here

c)      Run a Fixed Effect model

The FE Model:            

Note that we are conducting a two-way (  ) FE model here. Copy-paste the Eviews Estimation window here. 

d)     Test whether the FEs are relevant Copy-Paste the test result window from Eviews here 

e)      Show the cross-section and period FEs Copy-Paste both the test result windows from Eviews here 

f)       Run a RE model The RE Model:           

Note that we are conducting a two-way ( ) RE model here. Copy-paste the Eviews Estimation window here.

 

g)      Show the cross-section and period REs Copy-Paste both the test result windows from Eviews here

2. Dataset: Seatbelt

The Model                               

Where

Y = fatalityrate

X = sb_usage

Z = Controls – speed70, ba08, income, age, and primary 

a)      Create Summary Statistics Table

Variable

Obs

Mean

Std. Dev

Max

Min

Skewness

Kurtosis

fatalityrate

 

 

 

 

 

 

 

sb_usage

 

 

 

 

 

 

 

speed70

 

 

 

 

 

 

 

ba08

 

 

 

 

 

 

 

income

 

 

 

 

 

 

 

Age

 

 

 

 

 

 

 

primary

 

 

 

 

 

 

 

 

b)     Determine whether your model is a Fixed-Effect model or a Random-Effect model (replace the xx in the table with results from the Eviews)

Table 3: Hausman Test

Test Summary

Fatality

Reject the Null Hypothesis

Cross-Section Random

xx.xx

(x.xx)

Yes/No

Period Random

xx.xx

(x.xx)

Yes/No

Cross-section and Period Random

xx.xx

(x.xx)

Yes/No

Note: Chi-Sq. Test Statistics and p-values are reported

Based on the probability, the fixed/random effect model fits best at 1% / 5% / 10% significant level. (Circle the correct answers based on the Eviews results.)

c)      Create a Table Fixed or Random Effect Panel Estimations (FE or RE determined in Q2.b.)

Dependent Var: fatalityrate

I

II

III

IV

sb_usage

 

 

 

 

speed70

 

----

 

 

ba08

 

----

 

 

income

 

----

----

 

age

 

----

----

 

primary

 

----

----

 

Observation Numbers

 

 

 

 

Adj. R2

 

 

 

 

F-Stat

(p-value)

 

 

 

 

DW

 

 

 

 

Cross-Section FE or RE

No

Yes

Yes

Yes

Period FE or RE

No

Yes

Yes

Yes

Note: ***, **, * implies statistical significance at 1%, 5%, and 10% respectively.

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