| 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 | 01MA0505b | ||
| Instructor(s) | |||||
| 奥田 喬之 [OKUDA Takayuki] | |||||
| Facility affiliation | Graduate School of Agriculture | Office | 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．Summarizing data ２．Random variables and Probability distribution １ ３．Random variables and Probability distribution ２ ４．Bernoulli trial and Binomial distribution ５．Normal distribution ６．Sampling distributions ７．Exercises ８．Point estimation ９．Confidence intervals １０．Chi-squared distribution and F-distribution １１．General concepts of statistical hypotheses １２．Testing a statistical hypothesis １３．Analysis of variance (ANOVA) １４．Regression analysis １５．Exercise Final exam |
| 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 |
| References |
| Assessment/Grading |
| Exercises（30%）＋ Final expam（70%） |
| Message from instructor(s) |
| Course keywords |
| Mean，Variance，Normal distribution，Sampling distribution，Estimation，Hypothesis testing |
| Office hours |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 6/3/2019 12:37:43 PM |