數理統計
Mathematical statistics
學期
108-2
學分
2
學分
當期課號
B072
永久課號
A5977
開課單位
神經科學研究所
授課教師
吳仕煒
校區
陽明
類別
必修
上課時間表
| 節 | 週二 |
|---|---|
3 10:10–11:00 | 數理統計 YL839 2 節連堂 |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introductory lecture and a survey on students'' statistical knowledge |
| 第 2 週 | Probability theory: basic concepts (Pishro-Nik: Chapter 1, 2) |
| 第 3 週 | Random variables; probability distributions (Freund: Chapter 3, 4) ===== Quiz 1 ===== |
| 第 4 週 | Mathematical expectation; Introduction to MATLAB and R ============== Lab 1 distributed. Quiz 2. ============== |
| 第 5 週 | Sampling distributions (Freund: Chapter 8; Howell: Chapter 4) ============== Lab 1 due. Quiz 3. ============== |
| 第 6 週 | Decision theory (Freund: Chapter 9) |
| 第 7 週 | Hypothesis testing: theory (Freund: Chapter 9) |
| 第 8 週 | Hypothesis testing: applications (Howell: Chapter 7; Freund: Chapter 13) |
| 第 9 週 | Midterm exam |
| 第 10 週 | Estimation: theory (Freund: Chapter 10) |
| 第 11 週 | Estimation: applications (Freund: Chapter 11) =============== Lab 3 distributed. Midterm exam due. =============== |
| 第 12 週 | Model fitting, model simulation Fitting reinforcement-learning models using choice data; Perform Monte Carlo simulations on choice data based on the models |
| 第 13 週 | Model comparison: different ways to evaluate between different models which model is the best. Nested hypothesis test; Bayesian information criterion; Cross validation. =============== Lab 3 due. Lab 4 distributed. =============== |
| 第 14 週 | Regression and correlation 1 (Howell: Chapter 9; Freund: chapter 14) =============== Lab 5 distributed. =============== |
| 第 15 週 | Regression and correlation 2 (Howell: Chapter 10) =============== Lab 4 due. =============== |
| 第 16 週 | Multiple regression (Howell: chapter 15) =============== Lab 5 due. Lab 6 distributed. =============== |
| 第 17 週 | Generalized Linear Modeling in fMRI data analysis (including discussions on multiple comparison problems)(Howell: Chapter 12; fMRI-related readings will send out separately) |
| 第 18 週 | ANOVA: one-way, factorial ANOVA. =============== Lab 6 due. =============== |