a) Consider a standard log(wage) equation for men under the assumption that all explanatory variables are exogenous. log(wage) = Bo + B1married + Bzeduc + uj i) ii) Explain the problem you would encounter if Cov(educ, u¡) # 0. What are the consequences of applying OLS to estimate the parameters in the model above in the face of the problem identified in (i)? iii) Explain the three main source of this problem. What is an instrumental variable? iv) Suppose Z is identified as an instrument variable for educ in the model above, explain the main conditions that this instrument satisfy for it to be a valid instrument. v) vi) Explain the two-stage least square (2SLS) method that you need to deal with the problem identified in (i). b) Give the following model.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.EA: Extended Application Managing Renewable Resources
Problem 2EA
icon
Related questions
Question
Question 15
a) Consider a standard log(wage) equation for men under the assumption that all
explanatory variables are exogenous.
log(wage) = Bo+ Bimarried + B2educ + ui
i)
ii)
Explain the problem you would encounter if Cov(educ, u;) # 0.
What are the consequences of applying OLS to estimate the parameters in the|
model above in the face of the problem identified in (i)?
Explain the three main source of this problem.
What is an instrumental variable?
iii)
iv)
v)
Suppose Z is identified as an instrument variable for educ in the model above,
explain the main conditions that this instrument satisfy for it to be a valid
instrument.
Explain the two-stage least square (2SLS) method that you need to deal with
the problem identified in (i).
vi)
b) Give the following model.
y = XB + ɛ
Show that the estimator for ß given by.
where E(ɛ) = 0
B = (x'X)-1x'y
is unbiased
Transcribed Image Text:Question 15 a) Consider a standard log(wage) equation for men under the assumption that all explanatory variables are exogenous. log(wage) = Bo+ Bimarried + B2educ + ui i) ii) Explain the problem you would encounter if Cov(educ, u;) # 0. What are the consequences of applying OLS to estimate the parameters in the| model above in the face of the problem identified in (i)? Explain the three main source of this problem. What is an instrumental variable? iii) iv) v) Suppose Z is identified as an instrument variable for educ in the model above, explain the main conditions that this instrument satisfy for it to be a valid instrument. Explain the two-stage least square (2SLS) method that you need to deal with the problem identified in (i). vi) b) Give the following model. y = XB + ɛ Show that the estimator for ß given by. where E(ɛ) = 0 B = (x'X)-1x'y is unbiased
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage