Course title
数理統計学   [Mathematical Statistics]
Course category	general education courses	Requirement		Credit	2
Department		Year	2～	Semester	Fall
Course type	Fall	Course code	01MA0505c
Instructor(s)
吉田 央   [YOSHIDA Hiroshi]
Facility affiliation	Faculty 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.

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

Remarks 1

Remarks 2

Related URL

Lecture Language

Japanese

Language Subject

Last update

10/2/2017 5:50:04 PM