QE Flashcards

1
Q

F-Test Formula

A

Careful on your definiton of K

[n-k-1/q] [TSS-RSS/TSS]
^all unrestricted model.
RSSrest = TSSunrest

k is number of regressors, q is restrictions

Speciffy it as the homoskedastic only F-test

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2
Q

Confidence Interval Values

A

90% - 1.645
95% - 1.96
99% - 2.58

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3
Q

Standard Error Forumla

A

sigma/sqrt(n)

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4
Q

Variance formulae

A

Var(X)=E[(X-mu )^2]

= E[X^2] - E[X]^2

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5
Q

Covariance formulae

A

E(XY) - E(X)E(Y)

= E(X-E(X))(Y-E(Y)

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6
Q

R^2 Formula

A

1 - (SSR/SST)

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7
Q

Adjusted R^2

A

1 - [(n-1)/(n-k-1)] [SSR/SST]

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8
Q

LATE Assumptions

A

MIRE

like quagMIRE

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9
Q

LATE Definition

A

Average causal effect on COMPLIERS

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10
Q

TOT

A

Treatment effect On the Treated

WEIGHTED average of the causal effect on COMPLIERS and the causal effect on ALWAYS TAKERS

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11
Q

TOU

A

Treatment effect On the Untreated

WEIGHTED average of the causal effect on COMPLIERS and the causal effect on NEVER TAKERS

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12
Q

Bloom Result

A

If no never takers, LATE = TOT

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13
Q

5 Threats to internal validity

A

HIPCA

Individualistic treatment response (each person’s outcome depends only on his own treatment), contamination, Hawthorne effect, placebo, attrition

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14
Q

4 Threats to external validity

A

S A S S

Sampling, spillover effects, assignment differences, short durations (surrogate outcomes).

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15
Q

Type 1 Error

A

Incorrect rejection of a true null.

False positive.

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16
Q

Type 2 Error

A

Incorrectly accepting a false null.

False negative

17
Q

IV Assumptions

A

Exogeneity of instrument (good as randomly assigned and exclusuion), and relevance
3 in total for QE

18
Q

Testing IV independence assumption

A

Not directly testable.

  1. Distribution of covariates
  2. Baseline information
19
Q

Derive Omitted Variable Bias formula

A

SRBeta = LRBeta + OVB

OVB = gamma (Cov(X,OmittedVar)/Var(OmittedVar))
OVB only does not equal to zero if
1. omitted var is correlated with outcome
2. omitted var is correlated with other instrument.

20
Q

Autocovariance

A

Cov ( Yt , Yt-1 )

What is the summation equation?

21
Q

Autocorrelation

A

Cov ( Yt , Yt-j ) / var (Yt)

22
Q

Dickey-Fuller Test

A

Test if unit root is present.
I.e. H0: Beta1 = 0

WHAT DOES THIS DO

23
Q

Chow Test

A

Testing for structural breaks

How is this done?

24
Q

Spurious regression

A

Regression that provides evidence of a non-existent relationship between two variables. I.e. two random walks regressed on each other.

25
Q

Spurious regression

A

Regression that provides evidence of a non-existent relationship between two variables. I.e. two random walks regressed on each other.

26
Q

Granger causality test

A

Testing if additional variables in a time series have predictive power.
Use an F-test with H0 that BetaX = 0.

27
Q

Problems with having a unit root/having trends

A

1 AR coeffcients are strongly biased towards zero. This leads to poor forecasts.
2 Some t-statistics do not have a standard normal distribution, even in large samples.
3 If y and x are both random walks then they can look related even when they are not - this gives us a spurious regression.

28
Q

ATT Equation

A

write it

29
Q

ATE Equation

A

write it

30
Q

what to say in a t test

A

State what you are testing and say ceteris paribus

Outline H0 and H1
Under H0, define t-stat, and say that it is approximated N(0,1) by the CLT, assuming random (iid) and large (n observations) sample).

Decision rule.

Do the test.

Answer, and ceteris paribus.

31
Q

IV Equations

A

Structural: D on Y
Reduced: Z on Y
First: Z on D

32
Q

IV Estimator

A

equation

33
Q

Contamination

A

People who arent assinged to treatment get it

34
Q

RSMFE Equation

A

?

35
Q

P Value

A

Is the chance of making a type 1 error when taking p value as your significance level