### 2019　Statistics and Data Analysis

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Undergraduate major in Transdisciplinary Science and Engineering
Instructor(s)
Hanaoka Shinya  Takahashi Fumitake  Sagara Hiroshi  Kawasaki Tomoya
Course component(s)
Lecture / Exercise
Day/Period(Room No.)
Wed3-4(S621)  Fri3-4(S621)
Group
-
Course number
TSE.M204
Credits
2
2019
Offered quarter
1Q
Syllabus updated
2019/3/18
Lecture notes updated
2019/5/30
Language used
Japanese
Access Index

### Course description and aims

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.

### Student learning outcomes

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.

### Keywords

Probability, Statistics, Data Analysis

### Competencies that will be developed

Intercultural skills Communication skills Specialist skills Critical thinking skills Practical and/or problem-solving skills
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### Class flow

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

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

### Textbook(s)

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.

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### Assessment criteria and methods

Exercise 35%, Group Work 15%, Midterm and Final Examination 50%

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