Upload
others
View
4
Download
0
Embed Size (px)
Citation preview
Final ReviewIntroduction ot Econometrics,Fall 2020
Zhaopeng Qu
Nanjing University
12/31/2020
Zhaopeng Qu (Nanjing University) Final Review 12/31/2020 1 / 17
Information
Exam Time: 𝐽𝑎𝑛.10, 2021, 𝑀𝑜𝑛, 8 ∶ 00 − 10 ∶ 00Books and notes are not allowed. A calculator is an optional.
You can also bring an paper English-Chinese dictionary ratherthan electronic one if you want use it.
All questions are in English. And answers in either Chinese orEnglish or in both can be accepted.
Time Management is very critical. Do not spend too muchtime on a single question.
Zhaopeng Qu (Nanjing University) Final Review 12/31/2020 2 / 17
Review: Review Lecture 0
What is econometrics?
Data Structure:
Cross sectionTimes seriesPool-Cross sectionsPanel Data
Micro-Econometrics v.s Macro-Econometrics
Zhaopeng Qu (Nanjing University) Final Review 12/31/2020 3 / 17
Review Lecture 1
Review of Probability Theory
Main Missions of Empirical Work: Causality v.s. Forecasting
A framework of Causal Inference
Rubin Causal ModelRandomized trial as the benchmarkRCT does not work in reality?
Zhaopeng Qu (Nanjing University) Final Review 12/31/2020 4 / 17
Review Lecture 2
Review of Basic Statistics
LLW and CLTStatistical InferencePoint estimation: Estimator and EstimateThree Characteristics of an EstimatorProperties of the sample mean and the sample varianceHypothesis Testing and P-ValueConfidence Interval and significance levelHypothesis Tests for the Difference Between Two Means
Randomized Controlled Trials
Zhaopeng Qu (Nanjing University) Final Review 12/31/2020 5 / 17
Review Lecture 3
Simple OLS:
OLS estimator 𝛽R squares
The Least Squares Assumptions:
Assumption 1Assumption 2Assumption 3
Properties of the OLS estimator
The OLS estimator is unbiased, consistent and hasasymptotically normal sampling distribution.
Zhaopeng Qu (Nanjing University) Final Review 12/31/2020 6 / 17
Review Lecture 4
Multiple OLS Regression: Estimation
OVB BiasPerfect multicollinearity: Assumption 4Interpretation of coefficientsPartitioned regression: proof unbiasedAdjusted R-Squres
Zhaopeng Qu (Nanjing University) Final Review 12/31/2020 7 / 17
Review Lecture 5
Statistical Inference of 𝛽
standard error of 𝛽Hypothesis concerning 𝛽Confidence interval
Multiple Regression: Hypotheses tests
Heteroskedasticity & homoskedasticityTesting hypothesis on 2 or more coefficients: F-test
Zhaopeng Qu (Nanjing University) Final Review 12/31/2020 8 / 17
Review Lecture 6: Nonlinear Regression
Polynomials, Logarithmic transformations and Interactions
How to explain these estimate coefficients?
Zhaopeng Qu (Nanjing University) Final Review 12/31/2020 9 / 17
Review Lecture 7: Binary Dependent Variable
LPM,Logit and Probit
explain the estimate coefficientMarginal effectThe pseudo-R2
Zhaopeng Qu (Nanjing University) Final Review 12/31/2020 10 / 17
Review Lecture 8
Internal validity v.s External validity
Threats to internal validity
Omitted variables biasFunction form misspecificationMeasurement errorSimultaneous causalityMissing Data and Sample SelectionHeteroskedasticity and/or correlated error terms
Zhaopeng Qu (Nanjing University) Final Review 12/31/2020 11 / 17
Review Lecture 9: Decompostion
OB decomposition framework
Reference group problem: adjusted-weight
Zhaopeng Qu (Nanjing University) Final Review 12/31/2020 12 / 17
Review Lecture 10: Instrumental Variables
Two assumptions
Statistical properties of 2SLS estimator
Checking Instrument Validity
first stage: weak instrumentinstitutional backgroud to arguereduced form: exclusive restricionmore IVs: overidentification test
Heterogeneous effect and LATE
Zhaopeng Qu (Nanjing University) Final Review 12/31/2020 13 / 17
Review Lecture 11: Regression DiscontinuityDesign
RDD: Basic Ideas and Types
Basic assumptions
Check Validity of RDD
Zhaopeng Qu (Nanjing University) Final Review 12/31/2020 14 / 17
Review Lecture 12: Fixed Effects Model and DID
Fixed effect: assumption and estimation
DID: basic idea and assumption
SCM: basic idea and assumption
Zhaopeng Qu (Nanjing University) Final Review 12/31/2020 15 / 17
Closing Words
Zhaopeng Qu (Nanjing University) Final Review 12/31/2020 16 / 17
Closing Words
Zhaopeng Qu (Nanjing University) Final Review 12/31/2020 17 / 17