| Course title | |||||
| 数理統計学 [Mathematical Statistics] | |||||
| Course category | general education courses | Requirement | Credit | 2 | |
| Department | Year | 2～ | Semester | 3rd | |
| Course type | 3rd | Course code | 01MA0505c | ||
| Instructor(s) | |||||
| 加用 千裕 [KAYO Chihiro] | |||||
| Facility affiliation | Faculty of Agriculture | Office | Email address | ||
| Course description |
| Mathematical statistics is a study aimed at mathematically describing the characteristics of given data, and estimating the properties of a population from a small number of samples. In this lecture, we will first learn the basic concepts of statistics, namely, mean, variance, standard deviation, probability distribution and so on. Further, we will learn the concept of interval estimation and hypothesis test using various probability distributions, and understand the basic techniques of inferential statistics. Each lecture will also incorporate exercises using widely-used statistical software to develop a deeper understanding of statistics. |
| Expected Learning |
|
(1) Understand the basic terms and symbols of statistics. (2) Calculate the mean and standard deviation of given data. (3) Estimate the mean of population from the sample data using normal distribution and t distribution. (4) Perform a basic hypothesis test using normal distribution and t distribution. (5) Perform an elementary regression analysis. Corresponding criteria in the Diploma Policy: See the Curriculum maps. URL:https://www.tuat.ac.jp/campuslife_career/campuslife/policy/ |
| Course schedule |
|
1. Guidance, Explanation of the Entire Course 2. How to Use Statistical Software R (1) 3. How to Use Statistical Software R (2) 4. Analysis Concept of Statistics 5. Characteristic Value of Sample Distribution 6. Probability and Probability Distribution 7. Uniform Distribution and Normal Distribution 8. Summary 9. Distribution of Sample Mean and Estimation of Population Mean 10. Estimation of t Distribution and Population Mean 11. Estimation of Chi-square Distribution and Population Standard Deviation 12. Hypothesis Test 13. Correlation Analysis 14. Regression Analysis 15. Summary |
| Prerequisites |
| In addition to 30 hours that students spend in the class, students are recommended to prepare for and review 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 |
| The course material will be distributed in class. |
| References |
|
Yasuhiko Torii: “Hajimetenotoukeigaku” |
| Assessment/Grading |
| Class contribution (40%), Examinations (60%) |
| Message from instructor(s) |
| Course keywords |
| mean, variance, sample, population, probability distribution, interval estimation, hypothesis test |
| Office hours |
| For questions or comments, please contact the following email address: kayoc@cc.tuat.ac.jp |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 3/4/2020 1:50:37 PM |