| Course title | |||||
| 数理統計学 [Mathematical Statistics] | |||||
| Course category | Requirement | Credit | 2 | ||
| Department | Year | 2～ | Semester | 3rd | |
| Course type | 3rd | Course code | 01ma2005b | ||
| Instructor(s) | |||||
| 奥田 喬之 [OKUDA Takayuki] | |||||
| Facility affiliation | Graduate School 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. Takayuki Okuda (a part-time lecturer) will be in charge of this course. |
| 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. Corresponding criteria in the Diploma Policy: See the Curriculum maps. (URL: https://www.tuat.ac.jp/campuslife_career/campuslife/policy/ ) |
| Course schedule |
|
1. Data collation and basic statistics 2. Probability 3. Random variable and probability distribution 4. Point estimation 5. Discrete random variable 6. Continuous random variable 7. Student’s t-distribution, chi-square distribution, F-distribution 8. Review, and midterm examination 9. Section estimation 10. Hypothesis testing 11. Two-sided test and one-sided test 12. Various testing 13. Analysis of variance 14. Regression analysis 15. Review, and Term examination * This schedule may be changed to be suit interest and understanding of student |
| Prerequisites |
| In addition to 30 hours that students spend in the class, students are recommended to prepare for and revise the lectures, spending the standard amount of time as specified by the University and using the lecture handouts as well as the references specified below. |
| Required Text(s) and Materials |
| Will be introduced in class if necessary. |
| References |
| Assessment/Grading |
|
Midterm examination (40%) + Term examination (60%) |
| Message from instructor(s) |
| Course keywords |
| Mean，Variance，Normal distribution，Sampling distribution，Estimation，Hypothesis testing |
| Office hours |
| It will be announced in the first lecture. |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 1/26/2021 4:09:18 PM |