Econ 425 - Problem Set 2
Due January 19 (Thursday) in Class
Instructions. These questions review the basics of probability and regression analysis. Do your
best to make your arguments rigorous. You may discuss this problem set with your classmates and
con
Econ 425 - Problem Set 4
Due February 2 (Thursday) in Class
Instructions. These questions review the basics of probability and regression analysis. Do your
best to make your arguments rigorous. You may discuss this problem set with your classmates and
con
ECON 425 PROBLEMSET 1 SOLUTION
problem 1. Suppose A B. Then,
P (B) = P
B AC A
= P (B AC ) + P (A)
P (A)
For this to be a proof it remains to show that B AC F. First, B AC =
C
B C A by De Morgans law, so that B C A F (F closed under union) and
C
therefore
Econ 425 - Problem Set 3
Due January 27 (Thursday) in Class
Instructions. These questions review the basics of probability and regression analysis. Do your
best to make your arguments rigorous. You may discuss this problem set with your classmates and
con
Econ 425 - Problem Set 1
Due January 12 (Thursday) in Class
Instructions. These questions review the basics of probability and regression analysis. Do your
best to make your arguments rigorous. You may discuss this problem set with your classmates and
con
Regression with a Single Regressor:
Hypothesis Tests and Confidence Intervals
(SW Chapter 5)
Overview
Now that we have the sampling distribution of OLS
estimator, we are ready to perform hypothesis tests about
1 and to construct confidence intervals abou
Linear Regression with One Regressor
(SW Chapter 4)
Linear regression allows us to estimate, and make
inferences about, population slope coefficients. Ultimately
our aim is to estimate the causal effect on Y of a unit change
in X but for now, just think o
Introduction to Multiple Regression
(SW Chapter 6)
Outline
1. Omitted variable bias
2. Causality and regression analysis
3. Multiple regression and OLS
4. Measures of fit
5. Sampling distribution of the OLS estimator
6-1
Omitted Variable Bias
(SW Section
Assessing Studies Based on
Multiple Regression
(SW Chapter 9)
Lets step back and take a broader look at regression:
Is there a systematic way to assess (critique) regression
studies? We know the strengths but what are the pitfalls
of multiple regression?
UBC Okanagan
Dr. Mohsen Javdani
Winter 2, 2015/2016
Econ491C:
Topics in Theoretical and Applied
Econometrics
(From Stock and Watsons Introduction
to Econometrics)
Chapter 10:Regression with Panel Data
1
Outline
1.
2.
3.
4.
5.
Panel Data: What and Why
Pane
Nonlinear Regression Functions
(SW Chapter 8)
Everything so far has been linear in the Xs
But the linear approximation is not always a good one
The multiple regression framework can be extended to
handle regression functions that are nonlinear in one o
Hypothesis Tests and Confidence Intervals
in Multiple Regression
(SW Chapter 7)
Outline
1. Hypothesis tests and confidence intervals for a single
coefficient
2. Joint hypothesis tests on multiple coefficients
3. Other types of hypotheses involving multipl
5. DIFFERENCE-IN-DIFFERENCE APPROACH
253
5. Difference-in-Difference Approach
5.1. The Basic Model
In many situations, we observe outcomes both before and after the treatment. We are
interested in estimating the average treatment effect. More explicitly,
CHAPTER 10
Multiple Linear Regression Models
In this chapter, we study inference from the muliple regression model. A full exposition
of this model requires the language of linear algebra which we try to avoid using in this
course. Hence, the analysis in
Econ 425 - Problem Set 3
Due January 28 (Thursday) in Class
Instructions. These questions review the basics of probability and regression analysis. Do your
best to make your arguments rigorous. You may discuss this problem set with your classmates and
con
Econ 425 - Problem Set 2
Due January 21 (Thursday) in Class
Instructions. These questions review the basics of probability and regression analysis. Do your
best to make your arguments rigorous. You may discuss this problem set with your classmates and
con
Econ 425 - Problem Set 1
Due January 14 (Thursday) in Class
Instructions. These questions review the basics of probability and regression analysis. Do your
best to make your arguments rigorous. You may discuss this problem set with your classmates and
con
My derivation of condence intervals in nite samples has one glitch. I
will explain what that glitch is, and provide an alternative correct argument.
As in my lecture, suppose that we are in the following general situation.
We have a parameter of interest
Part 1
Probability Basics
CHAPTER 1
Probability
1. What is Probability?
1.1. Probability. Many decision problems arise in uncertain situations. To evaluate
decisions and choose "reasonable" ones, one needs to be equipped with a coherent way of
expressing
5. ASYMPTOTIC NORMALITY OF THE ESTIMATORS
85
First, let us consider how we will come up with a standard error for the estimator
Then by the property of normal distributions and by the i.i.d. property of fXi gn ; the
i=1
distribution of Xn is also normal,
CHAPTER 7
Hypothesis Testing
In this section we study the basics of the hypothesis testing problem. In the problem
of estimation, the task was to provide a reasonable guess about the value of some unknown
target, say, : The problem of hypothesis testing i
24
2. RANDOM VARIABLES AND DISTRIBUTIONS
Proof : Left as an exercise.
The above theorem says that when one multiplies 2 to X, its variance quadruples. This
may result in the exaggeration of the dispersion measure when the number of X tends to
be large. Fo
Econ 425 - Problem Set 1
Due January 16 (Thursday) in Class
Instructions. These questions review the basics of probability and regression analysis. Do your
best to make your arguments rigorous. You may discuss this problem set with your classmates and
con
Econ 425 - Problem Set 2
Due January 23 (Thursday) in Class
Instructions. These questions review the basics of probability and regression analysis. Do your
best to make your arguments rigorous. You may discuss this problem set with your classmates and
con
University of British Columbia
Econ 425 / Winter 2014
Econ 425: Introduction to Econometrics
Instructor: Kyungchul Song,
1025 Buchanan Tower
kysong@mail.ubc.ca
TA:
Office Hours: Tuesdays 3:00 - 4:30, or by appointment.
I encourage students to use the disc