Consider the following dynamic wage equation Wit = Xitß+ywi,t-1 + ai + Uit where wit denotes an individual's log hourly wage rate, Xit is a vector of personal and job characteristics (age, schooling, industry, etc), and a; is an unobserved individual heterogeneity component. Assume that uit is iid. (a) Explain in words why OLS applied to this model is inconsistent. (b) Explain in words why the fixed effects (FE) estimator applied to this model is inconsistent (for N → ∞ and fixed T). (c) Explain why the results from (a) and (b) also imply that the random effects estimator (RE) applied to this model is inconsistent (for N → ∞ and fixed T). (d) Describe a simple consistent (N ∞) estimator for 3, y assuming that ai and uit are independent of all xįts. (e) Describe a more efficient estimator under the same assumptions.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

how to solve  please teach  explain step by step 

Consider the following dynamic wage equation
Wit = Xit+Yui,t−1+aituit
where wit denotes an individual's log hourly wage rate, Xit is a vector of personal
and job characteristics (age, schooling, industry, etc), and a; is an unobserved
individual heterogeneity component. Assume that it is iid.
(a) Explain in words why OLS applied to this model is inconsistent.
(b) Explain in words why the fixed effects (FE) estimator applied to this model
is inconsistent (for N ∞ and fixed T).
(c) Explain why the results from (a) and (b) also imply that the random effects
estimator (RE) applied to this model is inconsistent (for N → ∞ and fixed T).
(d) Describe a simple consistent (N → ∞) estimator for 3, y assuming that ai
and uit are independent of all Xits.
(e) Describe a more efficient estimator under the same assumptions.
Transcribed Image Text:Consider the following dynamic wage equation Wit = Xit+Yui,t−1+aituit where wit denotes an individual's log hourly wage rate, Xit is a vector of personal and job characteristics (age, schooling, industry, etc), and a; is an unobserved individual heterogeneity component. Assume that it is iid. (a) Explain in words why OLS applied to this model is inconsistent. (b) Explain in words why the fixed effects (FE) estimator applied to this model is inconsistent (for N ∞ and fixed T). (c) Explain why the results from (a) and (b) also imply that the random effects estimator (RE) applied to this model is inconsistent (for N → ∞ and fixed T). (d) Describe a simple consistent (N → ∞) estimator for 3, y assuming that ai and uit are independent of all Xits. (e) Describe a more efficient estimator under the same assumptions.
Expert Solution
steps

Step by step

Solved in 3 steps with 25 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman