Econometrics Tutorial: Error Component vs. Fixed Effects, Panel Data Analysis, Exams of Economics

Tutorial questions on various topics in econometrics, including the difference between error component model (ecm) and fixed effects model (fem), identification of long and short panel data, challenges in choosing estimation methods, interpretation of autoregressive and distributed lag models, and computation of multipliers and proportions of impacts.

Typology: Exams

2020/2021

Uploaded on 06/27/2021

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ECONOMETRICS (ECON 479 TUTORIALS)
QUESTIONS:
1. What is meant by the Error Component Model (ECM)? How does it differ
from the FEM? When is the ECM appropriate? When is the FEM
appropriate?
2. Suppose a researcher is interested in examining the effects of household
income on their consumption expenditure using data obtained from 50
households over a period of 12 years.
i. Does this data type constitute a long panel or a short panel? Why?
ii. Discuss three challenges that he is likely to be confronted with in
choosing the Fixed Effect LSDV method of estimation for data
analysis purposes. Assuming he now decides to employ the Fixed
Effect WG method. Elaborate two shortcomings associated with this
method.
3. Consider the regression results 𝑌
𝑡 = 50.46 + 0.4Xt + 0.3Xt1 + 0.2Xt2 (1)
Where Y is Consumption expenditure and X is household income
i. Will you define the above model as autoregressive or distributed lag?
Why?
ii. What is the short run MPC? Interpret?
iii. Derive and interpret the intermediate multiplier in the second period.
iv. Compute and interpret the long run multiplier.
v. What proportion of the total impacts of a change in households
income was first in the current period? In the third period?
4. Assuming that the regression (1) is modified as follows:
𝑌
𝑡 = 50.46 + 0.4Xt + 0.2Yt1
Is the model now autoregressive or distributed lag? Why?
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ECONOMETRICS (ECON 479 TUTORIALS)

QUESTIONS:

  1. What is meant by the Error Component Model (ECM)? How does it differ from the FEM? When is the ECM appropriate? When is the FEM appropriate?
  2. Suppose a researcher is interested in examining the effects of household income on their consumption expenditure using data obtained from 50 households over a period of 12 years. i. Does this data type constitute a long panel or a short panel? Why? ii. Discuss three challenges that he is likely to be confronted with in choosing the Fixed Effect LSDV method of estimation for data analysis purposes. Assuming he now decides to employ the Fixed Effect WG method. Elaborate two shortcomings associated with this method.
  3. Consider the regression results 𝑌̂𝑡 = 50.46 + 0_._ 4 Xt + 0_._ 3 Xt − 1 + 0_._ 2 Xt − 2 … (1) Where Y is Consumption expenditure and X is household income i. Will you define the above model as autoregressive or distributed lag? Why? ii. What is the short run MPC? Interpret? iii. Derive and interpret the intermediate multiplier in the second period. iv. Compute and interpret the long run multiplier. v. What proportion of the total impacts of a change in household’s income was first in the current period? In the third period?
  4. Assuming that the regression (1) is modified as follows: 𝑌̂𝑡 = 50.46 + 0_._ 4 Xt + 0_._ 2 Yt − 1 Is the model now autoregressive or distributed lag? Why?