Exam Details
| Subject | Econometrics Methods | |
| Paper | ||
| Exam / Course | Master of Arts in Economics | |
| Department | School of Social Sciences (SOSS) | |
| Organization | indira gandhi national open university | |
| Position | ||
| Exam Date | June, 2016 | |
| City, State | new delhi, |
Question Paper
No. of Printed Pages: 7 IMECE-0011
MASTER OF ARTS (ECONOMICS)
Term-End Examination
June, 2016
MECE-001 ECONOMETRIC METHODS
Time hours Maximum Marks: 100
Note: Answer any two questions from Section and any five questions from Section -B.
SECTION
1. Consider the regression model
Yi=a+bXi+Ei
where
Find the least square estimators for a and b.
Find the least square estimator for o^2.
2. What do you understand by heteroscedasticity What are the consequences of using OLS in the presence of heteroscedasticity? Explain the Breusch -Pagan -Godfrey test to detect it.
3. Consider the regression model Y=B1 +B2x2 +B3x3 where A sample of 25 was taken for estimation of the model.
Explain the OLS method for estimation of the parameters.
Suppose one has to test the hypothesis that B2= B3= 0. How will you test it
Explain how would you test the significance of B2 and B3 separately.
4. Consider the simple macroeconomic model of an economy given by
Ct=d1 d2Yt d3rt+ u1t
It= B1+ B2r2+ +u2t
rt=y1 +y2It+ y3Mt +u3t
Yt= Ct+ It Gt
Which of the equations are
Identified and
Unidentified
How would you estimate the identified equations? Give the procedure.
5. Prove that the inclusion of an irrelevant variable does not bias the estimated intercept parameter.
6. For the regression model bXt+ut where b is known, show that the error variance of the forecast will be o^2 where o^2 is the
population variance.
7. Explain the problem of multicollinearity. Discuss three ways in which you would detect multicollinearity.
8. Outline the steps you would follow in the Principal Component Analysis (PCA).
9. Define the partial adjustment model. How is it different from the dynamic models?
10. Write short notes on.
BLUE
Chow test
11. What do you understand by coefficient of determination You are given two models having the following R^2 values
Model 1 R^2 0.68
Model 2 R^2 0.99
which model will you choose and why?
12. The relationship between variables X and Y is given by aX^b.
Explain how you will estimate the model and test the significance of the b estimate.
MASTER OF ARTS (ECONOMICS)
Term-End Examination
June, 2016
MECE-001 ECONOMETRIC METHODS
Time hours Maximum Marks: 100
Note: Answer any two questions from Section and any five questions from Section -B.
SECTION
1. Consider the regression model
Yi=a+bXi+Ei
where
Find the least square estimators for a and b.
Find the least square estimator for o^2.
2. What do you understand by heteroscedasticity What are the consequences of using OLS in the presence of heteroscedasticity? Explain the Breusch -Pagan -Godfrey test to detect it.
3. Consider the regression model Y=B1 +B2x2 +B3x3 where A sample of 25 was taken for estimation of the model.
Explain the OLS method for estimation of the parameters.
Suppose one has to test the hypothesis that B2= B3= 0. How will you test it
Explain how would you test the significance of B2 and B3 separately.
4. Consider the simple macroeconomic model of an economy given by
Ct=d1 d2Yt d3rt+ u1t
It= B1+ B2r2+ +u2t
rt=y1 +y2It+ y3Mt +u3t
Yt= Ct+ It Gt
Which of the equations are
Identified and
Unidentified
How would you estimate the identified equations? Give the procedure.
5. Prove that the inclusion of an irrelevant variable does not bias the estimated intercept parameter.
6. For the regression model bXt+ut where b is known, show that the error variance of the forecast will be o^2 where o^2 is the
population variance.
7. Explain the problem of multicollinearity. Discuss three ways in which you would detect multicollinearity.
8. Outline the steps you would follow in the Principal Component Analysis (PCA).
9. Define the partial adjustment model. How is it different from the dynamic models?
10. Write short notes on.
BLUE
Chow test
11. What do you understand by coefficient of determination You are given two models having the following R^2 values
Model 1 R^2 0.68
Model 2 R^2 0.99
which model will you choose and why?
12. The relationship between variables X and Y is given by aX^b.
Explain how you will estimate the model and test the significance of the b estimate.
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