G6004312 Statistics 1

Hiroshima University Syllabus

Japanese

Academic Year 2026Year School/Graduate School School of Economics Economics Day Course

Lecture Code G6004312 Subject Classification Specialized Education

Subject Name 統計学１

Subject Name
（Katakana）トウケイガク１

Subject Name in
English Statistics 1

Instructor TOMIOKA KAZUKI

Instructor
(Katakana) トミオカ　カズキ

Campus Higashi-Hiroshima Semester/Term 1st-Year, Second Semester, 3Term

Days, Periods, and Classrooms (3T) Weds3-4,Thur3-4：ECON B257

Lesson Style Lecture Lesson Style
(More Details) Face-to-face, Online (simultaneous interactive)

In principle, classes will be conducted in person. However, depending on circumstances, the course may
be delivered online (remotely).

Credits 2.0 Class Hours/Week 4 Language of Instruction B : Japanese／English

Course Level 1 : Undergraduate Introductory

Course Area（Area） 24 : Social Sciences

Course Area（Discipline） 03 : Economics

Eligible Students Anyone

Keywords Descriptive statistics, study design, probability, sampling distributions, decision-making

Special Subject for Teacher Education 　 Special Subject 　

Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) Statistics I (first term) and Statistics II (second term) together provide the foundation for econometrics and other data-analysis courses. Statistics I covers description, study design, and probability.
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) Economic Analysis
（Knowledge and Understanding）
・Basic knowledge of mathematical analysis approach on economic issues

Economics and Management
（Knowledge and Understanding）
・Basic knowledge of economic analysis

Class Objectives
/Class Outline Upon completion, students will have the knowledge and skills to:
1. Summarize and graph data appropriately
2. Work with random variables and probability distributions
3. Describe and use the normal distribution appropriately
4. Identify when and how to carry out basic statistical inference such as estimation and
hypothesis testing
5. Identify contexts in which particular statistical methods may be inappropriate

Class Schedule Statistics I
1. Course guidance and overview: the scope of statistics
2. Displaying distributions: frequency tables, histograms, empirical distribution functions, time
series plots
3. Numerical summaries for quantitative data: center, spread, and shape
4. Describing bivariate data: two-way tables, scatterplots, covariance and correlation
5. Producing data I: measurement, surveys, sampling, nonresponse and missingness
6. Producing data II: observational studies and experiments, randomization and confounding
7. Mid-term test (80 minutes), covering sessions 1-6
8. Introducing probability: modeling uncertainty; basic properties and calculation rules
9. Conditional probability and independence of events
10. Random variables and distributions (PMF, PDF, CDF)
11. Expectation, variance, transformations and sums of random variables
12. Common probability distributions
13. Joint, marginal, and conditional distributions
14. Random samples and sampling distributions: the law of large numbers and the central limit
theorem
15. Review (homework due)

Grade for this course is determined by an 80-minute mid-term test in session 7, one homework assignment
due at the end of term, and a final exam. Mathematics is reviewed where it is used rather than in a separate
session. The course schedule is intended as a guideline; depending on the pace of the class and students' understanding, some parts of the course content may be adjusted.

Text/Reference
Books,etc. Instead of relying on a particular textbook, the course will be conducted based on the lecture notes distributed in class.
References:
• Moore, D. S., McCabe, G. P., & Craig, B. A. “Introduction to the Practice of Statistics (9th ed.)”
• Ott, R. L., & Longnecker, M. T. “An Introduction to Statistical Methods and Data Analysis (7th
ed.)”
• Bertsekas, D. P., & Tsitsiklis, J. N. “Introduction to Probability (2nd ed.)”
• Blitzstein, J. K., & Hwang, J. “Introduction to Probability (2nd ed.)”
• Stock, J. H., & Watson, M. W. “Introduction to Econometrics, Global Edition (4th ed.)”
• 大屋幸輔（著）「コア・テキスト統計学（第3版）」
• 森棟公夫・照井伸彦・中川満・西埜晴久・黒住英司（著）「統計学改訂版」
• 豊田利久・大谷一博・小川一夫・長谷川光・谷崎久志（著）「基本統計学（第3版）」
• 尾畑伸明（著）「数理統計学の基礎」

PC or AV used in
Class,etc. Handouts, moodle

(More Details)

Learning techniques to be incorporated Quizzes/ Quiz format, Post-class Report

Suggestions on
Preparation and
Review • This course is designed on the assumption that students are comfortable with probability and
statistics at the high school level. We will review relevant mathematics when introducing new
concepts, but students are encouraged to review relevant high school textbooks and the
supplementary materials provided outside of class as necessary.
• University lectures move at a fast pace. If you can understand the lecture notes, attending every lecture is not required. However, if you find it difficult to keep up with the material, please take initiative in your learning by reviewing the material with classmates and working collaboratively to deepen your understanding.

Requirements There are no prerequisites. It is recommended that students take the course Mathematical Economics concurrently. Students who wish to deepen their understanding of statistics are encouraged to take or audit courses related to statistics from other departments.

Grading Method Mid-term test (session 7, 80 minutes): approximately 30%
Homework (due at the end of term): approximately 10%
Final exam: approximately 60%
N.B. weights on the test, homework and exam may change.

Practical Experience

Summary of Practical Experience and Class Contents based on it

Message The purpose of statistics is not calculation for its own sake, but to judge what limited data can tell us and,
taking the remaining uncertainty into account, to make better decisions. Because Statistics I and II focus
on basic concepts, the importance of what you learn here and its connection to applications may not be
immediately obvious. However, the material covered in this course forms the foundation for more
advanced subjects you may take later, such as Econometrics. I encourage you to engage actively in the
course and develop the ability to interpret and use data correctly.
We will occasionally conduct demonstrations of practical problems using the statistical software R. These
exercises will not directly affect your course grade, but students who are interested in learning how to code or program are encouraged to bring a laptop computer.
We will occasionally conduct demonstrations of practical problems using the statistical software R. These exercises will not directly affect your course grade, but students who are interested in learning how to code or program are encouraged to bring a laptop computer.

Other Language of instruction: The course will be conducted primarily in Japanese. However, since some of the reference materials are written in English, technical terms may occasionally be presented in both Japanese and English.

Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching.

Academic Year	2026Year	School/Graduate School	School of Economics Economics Day Course
Lecture Code	G6004312	Subject Classification	Specialized Education
Subject Name	統計学１
Subject Name （Katakana）	トウケイガク１
Subject Name in English	Statistics 1
Instructor	TOMIOKA KAZUKI
Instructor (Katakana)	トミオカ　カズキ
Campus	Higashi-Hiroshima	Semester/Term	1st-Year, Second Semester, 3Term
Days, Periods, and Classrooms	(3T) Weds3-4,Thur3-4：ECON B257
Lesson Style	Lecture	Lesson Style (More Details)	Face-to-face, Online (simultaneous interactive)
In principle, classes will be conducted in person. However, depending on circumstances, the course may be delivered online (remotely).
Credits	2.0	Class Hours/Week	4	Language of Instruction	B : Japanese／English
Course Level	1 : Undergraduate Introductory
Course Area（Area）	24 : Social Sciences
Course Area（Discipline）	03 : Economics
Eligible Students	Anyone
Keywords	Descriptive statistics, study design, probability, sampling distributions, decision-making
Special Subject for Teacher Education		Special Subject
Class Status within Educational Program (Applicable only to targeted subjects for undergraduate students)	Statistics I (first term) and Statistics II (second term) together provide the foundation for econometrics and other data-analysis courses. Statistics I covers description, study design, and probability.
Criterion referenced Evaluation (Applicable only to targeted subjects for undergraduate students)	Economic Analysis （Knowledge and Understanding）・Basic knowledge of mathematical analysis approach on economic issues Economics and Management （Knowledge and Understanding）・Basic knowledge of economic analysis
Class Objectives /Class Outline	Upon completion, students will have the knowledge and skills to: 1. Summarize and graph data appropriately 2. Work with random variables and probability distributions 3. Describe and use the normal distribution appropriately 4. Identify when and how to carry out basic statistical inference such as estimation and hypothesis testing 5. Identify contexts in which particular statistical methods may be inappropriate
Class Schedule	Statistics I 1. Course guidance and overview: the scope of statistics 2. Displaying distributions: frequency tables, histograms, empirical distribution functions, time series plots 3. Numerical summaries for quantitative data: center, spread, and shape 4. Describing bivariate data: two-way tables, scatterplots, covariance and correlation 5. Producing data I: measurement, surveys, sampling, nonresponse and missingness 6. Producing data II: observational studies and experiments, randomization and confounding 7. Mid-term test (80 minutes), covering sessions 1-6 8. Introducing probability: modeling uncertainty; basic properties and calculation rules 9. Conditional probability and independence of events 10. Random variables and distributions (PMF, PDF, CDF) 11. Expectation, variance, transformations and sums of random variables 12. Common probability distributions 13. Joint, marginal, and conditional distributions 14. Random samples and sampling distributions: the law of large numbers and the central limit theorem 15. Review (homework due) Grade for this course is determined by an 80-minute mid-term test in session 7, one homework assignment due at the end of term, and a final exam. Mathematics is reviewed where it is used rather than in a separate session. The course schedule is intended as a guideline; depending on the pace of the class and students' understanding, some parts of the course content may be adjusted.
Text/Reference Books,etc.	Instead of relying on a particular textbook, the course will be conducted based on the lecture notes distributed in class. References: • Moore, D. S., McCabe, G. P., & Craig, B. A. “Introduction to the Practice of Statistics (9th ed.)” • Ott, R. L., & Longnecker, M. T. “An Introduction to Statistical Methods and Data Analysis (7th ed.)” • Bertsekas, D. P., & Tsitsiklis, J. N. “Introduction to Probability (2nd ed.)” • Blitzstein, J. K., & Hwang, J. “Introduction to Probability (2nd ed.)” • Stock, J. H., & Watson, M. W. “Introduction to Econometrics, Global Edition (4th ed.)” • 大屋幸輔（著）「コア・テキスト統計学（第3版）」 • 森棟公夫・照井伸彦・中川満・西埜晴久・黒住英司（著）「統計学改訂版」 • 豊田利久・大谷一博・小川一夫・長谷川光・谷崎久志（著）「基本統計学（第3版）」 • 尾畑伸明（著）「数理統計学の基礎」
PC or AV used in Class,etc.	Handouts, moodle
(More Details)
Learning techniques to be incorporated	Quizzes/ Quiz format, Post-class Report
Suggestions on Preparation and Review	• This course is designed on the assumption that students are comfortable with probability and statistics at the high school level. We will review relevant mathematics when introducing new concepts, but students are encouraged to review relevant high school textbooks and the supplementary materials provided outside of class as necessary. • University lectures move at a fast pace. If you can understand the lecture notes, attending every lecture is not required. However, if you find it difficult to keep up with the material, please take initiative in your learning by reviewing the material with classmates and working collaboratively to deepen your understanding.
Requirements	There are no prerequisites. It is recommended that students take the course Mathematical Economics concurrently. Students who wish to deepen their understanding of statistics are encouraged to take or audit courses related to statistics from other departments.
Grading Method	Mid-term test (session 7, 80 minutes): approximately 30% Homework (due at the end of term): approximately 10% Final exam: approximately 60% N.B. weights on the test, homework and exam may change.
Practical Experience
Summary of Practical Experience and Class Contents based on it
Message	The purpose of statistics is not calculation for its own sake, but to judge what limited data can tell us and, taking the remaining uncertainty into account, to make better decisions. Because Statistics I and II focus on basic concepts, the importance of what you learn here and its connection to applications may not be immediately obvious. However, the material covered in this course forms the foundation for more advanced subjects you may take later, such as Econometrics. I encourage you to engage actively in the course and develop the ability to interpret and use data correctly. We will occasionally conduct demonstrations of practical problems using the statistical software R. These exercises will not directly affect your course grade, but students who are interested in learning how to code or program are encouraged to bring a laptop computer. We will occasionally conduct demonstrations of practical problems using the statistical software R. These exercises will not directly affect your course grade, but students who are interested in learning how to code or program are encouraged to bring a laptop computer.
Other	Language of instruction: The course will be conducted primarily in Japanese. However, since some of the reference materials are written in English, technical terms may occasionally be presented in both Japanese and English.
Please fill in the class improvement questionnaire which is carried out on all classes. Instructors will reflect on your feedback and utilize the information for improving their teaching.

Back to syllabus main page