2016 Advanced Statistical Analysis I

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Academic unit or major
Graduate major in Chemical Science and Engineering
Instructor(s)
Kubouchi Masatoshi 
Class Format
Exercise     
Media-enhanced courses
Day/Period(Room No.)
Mon3-4(S422)  
Group
-
Course number
CAP.E433
Credits
1
Academic year
2016
Offered quarter
4Q
Syllabus updated
2017/1/11
Lecture notes updated
-
Language used
English
Access Index

Course description and aims

This course offers the basic methodology to analyze a statistical data from an objective viewpoint and a subjective viewpoint.

Student learning outcomes

By the end of this course, students will be able to understand:
1) How to handle objective data and to apply it.
2) How to handle subjective data.

Keywords

data, random variable, probability density function, sample, normal distribution, log-normal distribution, Weibull distribution, estimation, testing, Bayes' theorem, posterior probability

Competencies that will be developed

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

Class flow

Required learning should be completed outside of the classroom for preparation and review purpose.
Towards the end of class, students are given exercise or homework problems related to what is taught.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Basic of Stastics, probability and dandom variable Data & stastistic, probability, sample, independent event, complementafy event, conditional probability and random variable are lerned. case study related on conditional probability
Class 2 Probability Distribution (1) binomial distribution, Poisson distribution and nomal distribution are lerned. applicatin exercises on normal distribution
Class 3 Probability Distribution (2) log-nomal distribution and Weibull distribution are lerned. applicaton exercises on Weibull distribution
Class 4 Sample poluation and the sample methodorogy of sample survey is lerned. exersice on sample survey
Class 5 Estimation and Testing method of stastical estimation and tesiteing are lerned case study related on estimation
Class 6 Subjective statistics Bayes' theorem is lened exersice on conditional probability based on Bayesian
Class 7 Bayesian statistics (1) Baysian networks and updating of postenior probability are lerned. case study related on updating of postenior probability
Class 8 Bayesian statistics (2) Baysian estimation is lerned. comparison of maximum-likelihood, MCMC and Baysian estimation

Textbook(s)

Course materials are provided during class

Reference books, course materials, etc.

Course materials are provided during class

Assessment criteria and methods

Exercise problems (50%), Reports (50%)

Related courses

  • Advanced statistical analysis II

Prerequisites (i.e., required knowledge, skills, courses, etc.)

N/A

Contact information (e-mail and phone)    Notice : Please replace from "[at]" to "@"(half-width character).

mkubouch[at]chemeng.titech.ac.jp

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