Through lectures and exercises, this course is designed to teach methods of statistical analysis, estimation and testing that are required for processing and understanding the data obtained by experiments, measurements and simulations.
By the end of this course, students will have acquire fundamental knowledge on statistics and data analysis, which includes methods for estimating probability density distribution, testing of statistical hypotheses, correlation analysis, regression analysis and multivariate analysis.
Probability, Statistics, Data Analysis
Intercultural skills | Communication skills | Specialist skills | Critical thinking skills | Practical and/or problem-solving skills |
---|---|---|---|---|
- | - | ✔ | - | ✔ |
Each lecture will include both teaching content and exercises, and exercises will be applied to confirm understanding of the lecture content. Structure will be: Review of previous lecture: 10 minutes; lecture: 60 minutes; exercise: 20 minutes. Group work is also conducted using the skills of statistics.
Course schedule | Required learning | |
---|---|---|
Class 1 | Fundamentals of Probability | Set Theory, Random Variable, Bayesian Probability |
Class 2 | Basics of Probability Distributions | Probability Distribution, Normal Distribution |
Class 3 | Various Probability Distributions | Binomial Distribution, Poisson Distribution |
Class 4 | Various Probability Distributions | Exponential Distribution, Hyper-geometric Distribution |
Class 5 | Important theorem | Law of Large Numbers, Central Limit Theorem |
Class 6 | Midterm Exam | Midterm Exam |
Class 7 | Population and Sampling | Population, Random Sampling |
Class 8 | Statistical Estimation | Point Estimation, Interval Estimation |
Class 9 | Hypothesis Test | Statistical Hypothesis |
Class 10 | Principal Component Analysis | Principal Component Analysis |
Class 11 | Regression and Correlation Analysis | Regression Analysis, Correlation Analysis |
Class 12 | Quantification Theory | Quantification Theory I, II and II |
Class 13 | Outline and Discussion of Group Work | Outline and Discussion of Group Work |
Class 14 | Other Multivariate Analysis | Factor Analysis, Cluster Analysis |
Class 15 | Presentation of Group Work | Presentation of Group Work |
Alfred H-S. Ang and Wilson H. Tang (2007) Probability Concepts in Engineering, Emphasis on Application in Civil and Environmental Engineering, John Wiley & Sons. New York.
None
Exercise 35%, Group Work 15%, Midterm and Final Examination 50%
None