課程資訊
課程名稱
統計學
Statistics 
開課學期
105-2 
授課對象
學程  系統生物與生物資訊學程  
授課教師
鄭明燕 
課號
MATH3601 
課程識別碼
201 38100 
班次
 
學分
3.0 
全/半年
半年 
必/選修
選修 
上課時間
星期二5(12:20~13:10)星期四8,9(15:30~17:20) 
上課地點
天數102天數102 
備註
總人數上限:40人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1052MATH3601_ 
課程簡介影片
 
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課程概述

Contents:
review of probability theory; distributions derived from the normal distribution; sample mean and sample variance; survey sampling; method of moments; method of maximum likelihood; bootstrap; efficiency; sufficiency; information bounds; hypothesis testing; likelihood ratio tests; goodness-of-fit tests; summarizing data; comparing two samples; analysis of variance; linear least squares; decision theory; Bayesian inference. 

課程目標
Teach the fundamentals of theoretical statistics.
Provide excellent preparation for advanced work in statistics and machine learning. 
課程要求
calculus, introduction to probability theorey. 
預期每週課後學習時數
 
Office Hours
 
參考書目

 
指定閱讀
Textbook: Rice, John A. (2007). Mathematical statistics and data analysis. Third edition. Brooks/Cole. 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
Homework and Quiz 
30% 
 
2. 
Midterm Exam 
30% 
 
3. 
Final Exam 
40% 
 
 
課程進度
週次
日期
單元主題
第1週
2/21,2/23  review of probability: random variables, joint distribution, expected values. approximate methods 
第2週
2/28,3/02  limit theorem, distributions derived from the normal distribution
(2/28 放假日) 
第3週
3/07,3/09  survey sampling, simple random sampling
(3/07 Quiz 1: Ch1-Ch4) 
第4週
3/14,3/16  estimation of a ratio, stratified random sampling, fitting of probability distributions 
第5週
3/21,3/23  自主學習週 
第6週
3/28,3/30  parameter estimation, the method of moments, the method of maximum likelihood
(3/28 Quiz 2: Ch5-Ch7) 
第7週
4/04,4/06  MLE of multinomial cell probabilities, large sample theory for MLE
(4/04 放假日) 
第8週
4/11,4/13  confidence intervals from MLE, the Bayesian approach to parameter estimation 
第9週
4/18,4/20  efficiency and the Cramer-Rao lower bound, sufficiency, uniformly minimum variance unbiased estimators 
第10週
4/25,4/27  4/27 Midterm 
第11週
5/02,5/04  hypothesis testing, likelihood ratio tests, Neyman-Pearson Lemma, p-value approach, uniformly most powerful tests 
第12週
5/09,5/11  the duality of confidence intervals and hypothesis tests, generalized likelihood ratio tests, likelihood ratio tests for the multinomial distribution, the Poisson dispersion test 
第13週
5/16,5/18  summarizing data, comparing two independent samples with normal assumptions (5/16 Quiz 3: Ch9) 
第14週
5/23,5/25  Mann-Whitney test, comparing paired samples, signed rank test 
第15週
5/30,6/01  analysis of variance: one-way layout
(5/30 放假日) 
第16週
6/06,6/08  analysis of variance: two-way layout 
第17週
6/13,6/15  linear regression (6/15 Quiz 4) 
第18週
6/22  6/22 Final