An Overview of Matrix Algebra
x Definitions
Operations
x STATA matrix commands
What is it?
x Matrix algebra is a means of making
calculations upon arrays of numbers (or
data).
x Your data set is a matrix
Why use it?
x Matrix algebra makes mathematical
exp
PS 233 Intermediate Statistical Analysis
Homework 6:
Logit and Probit Research Note
(Due 4/15/2002)
Deterrence Outcomes on a Probability Curve
When do great-power disputes escalate to war? When do defenders are able to thwart
challengers attempts at revis
Political Science 233
Intermediate Statistical Methods
Homework 5:
Dummy Variables and Functional Form Research Note
Does Trade Really Follow the Flag?
Realist scholars have often responded to liberal claims that trade prevents international
conflict by a
PS 233 Intermediate Statistical Analysis
Homework 4:
Autocorrelation Research Note
(Due 3/27/2002)
Those Who Dont Know: An Empirical Analysis
Every year, every time Gallup asks the question Do you [approve/disapprove] of the
way President [name] is handli
PS 233 Intermediate Statistical Analysis
Homework 3:
Omitted Variable Bias Research Note
(Due 3/8/2002)
Economic Growth in the Tropics
A recent paper has claimed that
tropical countries have shown a consistent pattern of stagnant economic growth
in the la
PS 233 Intermediate Statistical Analysis
Homework 2
(Due 2/13/2002)
Exercise 1
For the simple linear regression model y i = 0 + 1 x1i + ei show that the
square of the t-statistics used in testing 1 = 0 is numerically equivalent to the Fstatistics in the a
PS 233 Intermediate Statistical Analysis
Homework 1
(Due 2/1/2002)
Exercise 1
Show that:
n
ErrorSS = i =1 ( y i y i ) 2 = S yy 12 S xx
where S yy =
n
( y i y ) 2 , S xx =
i =1
n
i =1
( xi x ) 2 , and 1 is the slope of the
regression line in a Linear Regre
PS 233
Intermediate Statistical Methods
Lecture 5
Multiple Regression & Matrix
Format
What If Y has more than just
ONE cause?
s
s
s
s
We have found an estimator for the
relationship between X and Y
We have developed methods to use the
estimator to test hy
PS 233
Lecture 2
The Simple Linear
Regression Model
What is Ordinary Least Squares?
s
s
s
Ordinary Least Squares (OLS) finds the
linear model that minimizes the sum of
the squared errors.
Such a model provides the best
explanation/prediction of the data.