課程資訊

INTRODUCTION TO MATHEMATICAL STATISTICS (II)

96-2

MATH3603

201 30320

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/962MathStat

Contents：

Topics to be covered include
1. Properties of point estimation and Methods of estimation
2. Hypothesis testing

3. Linear models and least square methods

4. Design of experiments

5. Analysis of variance

6. Analysis of categorical data

Course Goal：

A prime objective of the INTRODUCTION TO MATHEMATICAL STATISTICS course sequence is to present techniques and basic results of probability and mathematical statistics at a rigorous, but not advanced level. In the second semester course, the structure of statistical inference procedures is studied. In particular, the theory of estimation, confidence sets, hypothesis testing, and prediction for common parametric models are investigated.

Course prerequisite：

Students taking the course will have completed calculus and had introductory probability and basic statistics courses.

Office Hours

Reference material ( textbook(s) )：
1. Mathematical Statistics with Applications. W. Mendenhall, R.L. Scheaffer and D.D. Wackerly. Publisher: Duxbury Press. (textbook)

2. Introduction to the Practice of Statistics. D.S. Moore and G.P. McCabe. Publisher: W.H. Freeman and Company

(僅供參考)

 No. 項目 百分比 說明 1. Homework 20% 2. quiz 20% 3. midterm 30% 4. final 30%

 課程進度
 週次 日期 單元主題 第1週 2/18,2/21 Chapter 9. Properties of Point Estimators and Methods of Estimation 第3週 3/03,3/06 Chapter 10 Hypothesis Testing 第6週 3/24,3/27 Chapter 11 Linear Models and Estimation by Least Squares 第9週 4/14,4/17 4/14 TAs will come in class to help with R and Matlab and to answer questions. 4/17. Chapter 12 Considerations in Designing Experiments 第10週 4/21,4/24 4/21 TAs will come in class to help with R and Matlab and to answer questions. 4/24 Midterm:ch9-11 第11週 4/28,5/01 Chapter 13 The Analysis of Variance 第12週 5/05,5/08 Chapter 13 The Analysis of Variance 第13週 5/12,5/15 5/12 (Monday) homework discussion。 5/15 (Thursday) 8:30--10:00, 小考，第13章。 第14週 5/19,5/22 Chapter 14 Analysis of Categorical Data 第15週 5/26,5/29 (I) 5/26 Chapter 14. (II) 5/26 SS decomposition. (III) 5/29 selected topics from Chapter 15. 第16週 6/02,6/05 6/02 (Monday) homework discussion by TA. 6/05 (Thursday) selected topics from Chapter 15 and review 第17週 6/09,6/12 06/09 (Monday) Review. 06/12 (Thursday) TA will come and answer your questions and arrange for some exercises. 第18週 6/19 期末考，6/19〈週四〉， 8:10--10:00，第11、13及14章。