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Quantitative Foundations for Econometrics (ETS-620)
- Instructor Name: Dr. Amena Urooj & Dr. Nadia Hassan
- Credit Hours: 03
- PIDE School of Economics (PSE)
- E-mail: [email protected], [email protected]
- Office Hours: Mon-Thu (by appointment)
Prerequisites For this Course:
None
Text Book(s):
- David Diez, Mine Cetinkaya-Rundel, Christopher D. Barr. Edition (2019), OpenIntro Statistics, 4th
- Freedman, D., Pisani, R., and Purves, R. (2007), Statistics (4th Edition).
- Spanos, Aris. (1986), Statistical Foundations of Econometric Modelling, Cambridge University Press.
- Hogg, R. V., and A. T. Craig (2005), Introduction to Mathematical Statistics, 5th Ed., Macmillan.
- Mittelhammer, Ron C. (2001), The Mathematical Statistics for Economics and Business, Springer.
Reference Book(s):
- Herman J. Bierens (2004), Introduction to the Mathematical and Statistical Foundations of Econometrics, Cambridge University Press.
- Orley Ashenfelter, Levine, and Zimmerman (2006), Statistics and Econometrics: Methods and Applications, Wiley.
- Davidson, R., and Mackinnon, J. (1993), Estimation and Inference in Econometrics, Oxford University Press.
- Griliches, Z., and Intriligator, M. (1983, 1984), Handbook of Econometrics, Vols. 1 and 2, North Holland.
- Mills, Terence C., and Markellos, Raphael N. (2008), The Econometric Modelling of Financial Time Series, Cambridge University Press.
- Stock, J.H. & Watson, M.W. (2015), Introduction to Econometrics, Pearson (3rd Edition).
- Introduction to Statistics: An Islamic Approach: Part 1: Descriptive Statistics (https://sites.google.com/site/introstatspart1/)
- Introduction to Statistics: An Islamic Approach: Part 2: Probability and Statistics. (https://sites.google.com/site/i2sia2ps/home)
Course Description
Statistics attempts to make evaluations concerned with uncertainty and numerical conjectures about perplexing questions. The focus of the course is upon understanding real-life statistical problems. The course Quantitative Foundations of Econometrics is all about how to deal with some interesting problems statistically, why these methods work, and what to watch out for when others use them. This course develops a foundational understanding of the quantitative tools essential for econometric analysis. It begins with descriptive statistical methods, probability theory, and progresses to random variables, distributions, and statistical inference. The course then transitions into econometric modeling frameworks, including linear regression, multivariate models, dynamic models, and simultaneous equation systems. The approach emphasizes real-world applications, data visualization, and critical interpretation of statistical results with statistical reasoning.
This course provides the essential mathematical and statistical foundations necessary for the study of econometrics. It is designed to prepare students for more advanced knowledge in econometric theory and applied empirical analysis. This unique course offers a deep learning experience to students who make an effort. It requires a lot of practical work from the students. More than teaching about manipulation of numbers, this course is meant to teach students how to construct arguments, and how to avoid being deceived by data. Therefore, practical examples from economics are extensively used throughout to illustrate key concepts.
Course Objectives
In this course students are supposed to develop proficiency in fundamental techniques relevant to econometrics. They should be able to understand core concepts of descriptive data analysis, probability and random variables and get familiarity with distribution theory and the properties of estimators.
- 1.Understand fundamental statistical methods and their applications in economics.
- Interpret and visualize data through descriptive and inferential statistical techniques.
- Grasp concepts of probability, random variables, distributions, and expectations.
- Apply statistical inference methods including estimation, hypothesis testing, and confidence intervals.
- Understand econometric model structures including the Gauss Linear Model, dynamic and simultaneous equation models.
- Develop a critical understanding of the assumptions and limitations of econometric techniques.
Learning Outcomes
Upon completion of this course, students will:
- Demonstrate a comprehensive understanding of quantitative skills needed for econometrics.
- Capability to apply probability theory in solving econometric problems.
- Apply descriptive data analysis techniques.
- Ability to analyze and interpret economic data using statistical methods and create arguments.
- Learn important techniques of probability and probability distributions.
- Proficiency in estimation and hypothesis testing in econometric contexts.
- Understanding of the construction and estimation of linear and multivariate regression models.
- Develop the analytical skills necessary to contribute to academic research or policy analysis in the field of econometrics.
- Ability to critically assess empirical econometric studies.
Lecture Plan
| Session | Topic | Readings | Activities | Instructor |
| Module # 1: Descriptive Study of Data | ||||
| 1 | Introduction to Econometric Modeling Sorting, ranking and percentiles | Classroom lecture, book chapter reading. Video lecture from online course: lec 2c-8c |
Home task |
Dr. Amena Urooj
& Dr. Nadia Hassan |
| 2 | Measures of central tendency & their rhetorical
usage |
Classroom lecture, book chapter reading. Video
lecture from online course: 8H-10c |
Assignment 1 |
Dr. Nadia Hassan |
| 3 | Measures of dispersion | Classroom lecture, book
chapter reading. Video lecture from online course: 10H-11H |
Quiz 1 |
Dr. Nadia Hassan |
| 4 | Data visualization importance and power of visualizing data | Classroom lecture, book chapter reading. |
Home task |
Dr. Nadia Hassan |
| 5 | Data visualization: Boxplot, Histograms, Data Density | Classroom lecture, book chapter reading. Video
lecture from online course: 12c-12H, 13c-13H, 14c- 14H |
Assignment 2 |
Dr. Nadia Hassan |
| 6 | Data visualization: Bivariate Relations | Classroom lecture, book
chapter reading. |
Quiz 2 | Dr. Amena Urooj |
| 7 | Moments, Moment
Generating Function |
Classroom lecture, book
chapter reading. Video lecture from online course: |
Dr. Nadia Hassan | |
| 8 | Moments, Moment Generating Function for various distributions, Cumulant Generating Function | Classroom lecture, book chapter reading. | Home task | Dr. Nadia Hassan |
| Module # 2: Foundations of Statistics and Probability | ||||
| 9 | Probabilities, the sample space, and random variables | Classroom lecture, book
chapter reading. Video lecture from online course: L1.1, L1.2, L1.3 |
Home task |
Dr. Nadia Hassan |
| 10 | Probability distribution of a discrete random variable | Classroom lecture, book
chapter reading. Video lecture from online course: L2 |
Home task |
Dr. Amena Urooj |
|
||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
|
24 |
The p-value, confidence intervals for the population mean, Means from different populations | Classroom lecture, book
chapter reading. |
Home task |
Dr. Amena Urooj |
|
25 |
t-Statistics and Small
Sample Inference |
Classroom lecture, book chapter reading. |
Quiz 5 |
Dr. Amena Urooj |
| Module # 4: Econometric Modeling Frameworks | ||||
|
26 |
Introduction to Econometric Models, Specification of the Gauss Linear Model,
Linear Regression Model – Assumptions & Diagnostics |
Classroom lecture, book chapter reading. |
Home task |
Dr. Nadia Hassan |
|
27 |
Multivariate Linear Regression Models specification, Assumptions, Diagnostics and Interpretations | Classroom lecture, book chapter reading. |
Home task |
Dr. Amena Urooj |
|
28 |
Dynamic Linear
Regression Models, Estimation and Inference |
Classroom lecture, book chapter reading. |
Home task |
Dr. Nadia Hassan |
|
29 |
Simultaneous Equation
Models |
Classroom lecture, book
chapter reading. |
Home task |
Dr. Nadia Hassan |
|
30 |
Multivariate Normal Distribution & Applications | Classroom lecture, book chapter reading. |
Home task |
Dr. Amena Urooj |
|
31 |
Applications in Financial
Time Series Modeling |
Classroom lecture, book chapter reading. |
Assignment 6 |
Dr. Amena Urooj |
|
32 |
Final Exam | |||
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