Practicum in Fundamentals of Statistical Inference
| Numbering Code | P-PUB01 8H144 SB90 | Year/Term | 2022 ・ First semester | |
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| Number of Credits | 1 | Course Type | Seminar | |
| Target Year | Target Student | |||
| Language | Japanese and English | Day/Period | ||
| Instructor name |
SATO TOSIYA (Graduate School of Medicine Professor) HENMI MASAYUKI (Part-time Lecturer) OMORI TAKASHI (Graduate School of Medicine Program-Specific Professor) Omiya Masatomo (Graduate School of Medicine Program-Specific Assistant Professor) |
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| Outline and Purpose of the Course |
This course focuses on the content of the "Fundamentals of Statistical Inference," and tackles exercises relating to the fundamental points in learning subjects related to statistics. In the first half, we tackle exercises on fundamental points concerning statistical inference in general, and in the second half, we tackle specific statistical inference exercises (estimation, hypothesis testing, and confidence intervals). The overall purpose of the course is to understand and come to grips with each of the topics addressed in "Fundamentals of Statistical Inference" through specific problems, and to teach the fundamental concepts of statistical inference obtained from these. Through exercises in the first half, students will acquire the necessary mathematical skill to study statistics-related subjects, while exercises in the latter half teach methods to apply statistical inference by working on problem sets that are similar to real-world issues as applied to clinical trials, and will understand their utility. Since students of this course are expected to come from various backgrounds, a large number of teaching staff will be assigned and exercises will proceed according to the progress of each student. [Practicum Format] (Held in sixth period until June 4, then fifth period from June 11) |
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| Course Goals |
・Understand the techniques necessary for methods of statistical inference and related methods, and learn how to apply them, ・Learn the meaning and properties of basic statistics and ways to make calculations by making use of them by yourself, and ・Understand the situations in which the fundamentals of statistical inference are required, such as actual clinical trials, and learn to solve basic problems that are important in application. |
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| Schedule and Contents |
Session 1, April 8: Confirmation of Basic Mathematics and Calculating Probability Session 2, April 15: Basic Properties of Discrete Random Variables Session 3, April 22: Basic Properties of Continuous Random Variables Session 4, May 6: Multiple Random Variables I Session 5, May 13: Multiple Random Variables II Session 6, May 20: Probability Distribution as it Relates to Normal Samples Session 7, May 27: Fundamentals of Statistical Estimation Session 8, June 3: Fundamentals of Statistical Hypothesis Testing I Session 9: June 10: Fundamentals of Statistical Hypothesis Testing II Session 10, June 17: The Basics of Linear Regression Analysis I Session 11, June 24: The Basics of Linear Regression Analysis II Session 12, July 1: Fundamental Asymptotic Methods I (Limit Theorem, Maximum Likelihood and its Properties) Session 13, July 8: Fundamental Asymptotic Methods II (Tests based on maximum likelihood) Session 14, July 15: Fundamental Asymptotic Methods III (Delta method, methods of estimation other than the maximum likelihood method) |
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| Evaluation Methods and Policy | Students will be asked to submit answers to exercises in each session. Grades shall be assigned according to the content. | |||
| Course Requirements | This course is limited to those taking the Clinical Biostatistics course. | |||
| Study outside of Class (preparation and review) |
・Preparation will not be required when this course is taken together with "Fundamentals of Statistical Inference," which is held on the same day. However, if students are concerned about basic mathematical techniques such as calculus and linear algebra, they are advised to engage in self-study in consultation with their instructor. ・For questions that cannot be solved, students should ask their instructor during or after their seminars, and be sure to solve these before taking repeat exercises. Even if a student solves a question once, it is advisable to attempt it again after a while. |
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| Textbooks | Textbooks/References | Other materials will be introduced during practicums based on progress made. | ||
| References, etc. | Other materials will be introduced during practicums based on progress made. | |||
