Essential Mathematics for Global LeadersT[18S1000]

科目名
Course Title
Essential Mathematics for Global LeadersT[18S1000]
Essential Mathematics for Global LeadersT
授業言語
Language
English
科目区分・科目種 共通科目(前期課程) クラス 博士課程共通
CCBM   キャリアデザイン  
単位数 2.0単位 履修年次 13

担当教員 DAHAN Xavier
学期 前期
曜日・時限・教室
月曜 3 4 人間文化研究科棟408室

授業の形態
講義,演習

教科書・参考文献
Powerpoint hands-out. Will be distributed at each class.

評価方法・評価割合
その他=その他=Attendance, Reports.

主題と目標
Understand background Probability used in Statistics
Use and understand various Null Hypothesis Significance Tests (NHST)
Use confidence intervals
Understand the limitation and caveat of Confidence Intervals and NHST
Understand and use (simple) Linear Regression (単) 線形回帰
Become autonomous to study and learn more Statistical tools.

授業計画
1. Notions of Probability. 必要な確率論
2. Random Variables. Examples (discrete and continuous). 確率変数(離散と連続)
3. Sampling Distribution, Point estimation. Maximum likelihood. Central Limit Theorem.
標本分布、点推定、最尤推定、中心極限定理.
4. Null Hypothesis Significant Test帰無仮説検定
One-sample tests: z-test, chi2-test for variance, small and large Student t-tests.
More than one-sample tests: t-test (equal variance), paired data, F-test, chi2 for goodness- of-fit, chi2 for independence, One-way ANOVA).
5. Confidence Intervals. 信頼区間
Comparison with NHST. Case of polling.
6. Linear regression. 線形回帰
7. Additional topics (if time allows): multivariate analysis, non-linear model.

時間外学習
Almost every week a few homework are assigned. This is important to help understanding the content of the course.

学生へのメッセージ
A strong background in Mathematics is not necessary (basically, high-school, 1st year level in Calculus should be enough). Therefore, besides students from Math, Computer Science, Physics, Chemistry, students from Nutrition, Life Science department are also welcome.
英語が難しいと思ったら、語彙や表現を日本語も提供しますので、安心してください。

学生の問い合わせ先
リーディング大学院推進センター:03-5978-5775