| Course title | |||||
| 数理統計学 [Mathematical Statistics] | |||||
| Course category | Requirement | Credit | 2 | ||
| Department | Year | 2～ | Semester | 3rd | |
| Course type | 3rd | Course code | 01ma2005c | ||
| Instructor(s) | |||||
| 吉田 央 [YOSHIDA Hiroshi] | |||||
| Facility affiliation | Faculty of Agriculture | Office | afjgxte/L1151 | Email address | |
| Course description |
| Mathematical statistics is a tool of estimating the property of the population (a large set of data) from its small sample. In this course, we will first introduce basic concepts and terms of statistics such as means, variances, probability distributions, etc. Then, observing the connection between statistical properties of samples and those of the population, we will learn methods of interval estimation and hypothesis testing. |
| Expected Learning |
|
The goal of this course is to be capable of (1) understanding standard terms and notations of mathematical statistics, (2) calculating the mean and standard deviation of a given set of numbers, (3) applying normal distribution or Student's t-distribution to estimation of the mean of the population, (4) testing a statistical hypothesis by using normal distribution. |
| Course schedule |
|
1. Summarizing data 2. Population and sample 3. Basic characteristics of sample statistics 4. Relations of two or more statistics 5. Statistical estimation 6. Unbiasedness and consistency 7. Basic concept of hypothesis testing 8. Application of hypothesis testing 9. Interval estimation 10. Goodness-of-fit test 11. Randomized controlled trial (RCT) 12. Continuous distribution 13. Normal distribution 14. (reserved for delay) 15. (Examination) |
| Prerequisites |
| Basic mathematics subjects (differential and integral calculus, linear algebra) are required. |
| Required Text(s) and Materials |
| The teacher prepares needed materials. |
| References |
| Assessment/Grading |
| Final grade is determined on the performance of exam. |
| Message from instructor(s) |
| Course keywords |
| Office hours |
| Make an appointment before or after each lecture. |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 4/20/2020 9:33:20 AM |