課程資訊
課程名稱
 統計導論
INTRODUCTION TO STATISTICS 
開課學期
 96-1 
授課對象
 理學院  數學系  
授課教師
 陳 宏 
課號
 MATH2601 
課程識別碼
 201 27100 
班次
  
學分
 3 
全/半年
 半年 
必/選修
 選修 
上課時間
 星期四7,8(14:20~16:20)星期五5(12:20~13:10) 
上課地點
 新501新303 
備註
 為大學部學生設計。
總人數上限：70人 
Ceiba 課程網頁
 http://ceiba.ntu.edu.tw/961IntroStat 
課程簡介影片
 
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課程概述

Topics include exploratory data analysis (histograms, stem plots, measures of
center and spread of a distribution, normal distribution, scatter plots,
least squares regression, correlation), producing data (design of experiments, sampling design), probability (probability rules, random variables, probability distributions), and statistical inference (confidence intervals, tests of significance, nonparametric methods,
categorical or count data).

 

課程目標
 This course will include computer simulation project
and computer graphics. The minimal objectives that
the student should be able to do upon successful
completion of this course include the following:
* Define and use basic statistical terms.
* Identify various data collection and sampling methods.
* Calculate measures of central tendency, variation,
and position, and interpret these statistics.
* Construct and extract information from statistical
graphs and charts
* Solve counting applications, calculate application probabilities,
and calculate probabilities using probability distributions.
* Construct confidence intervals and calculate appropriate sample sizes.
* Test hypotheses and apply correlation and regression analysis.
* Input data, run statistical tests using statistical software, and
interpret the results. (R-programming)
* Apply these techniques to the solution of practical problems drawn from
fields such as mathematics, business, and the social, life and
physical sciences.  
課程要求
 Calculus, one semester of linear algebra or equivalent, some programming
experience preferred  
預期每週課後學習時數
  
Office Hours
 每週四 13:20~15:20 
指定閱讀
  
參考書目
 Bluman (2007) Elementary Statistics: A Step by Step Approach
6th Edition, McGraw-Hill. 
評量方式
(僅供參考)
  
No.
項目
百分比
說明
1. 
 期中考 
35% 
  
2. 
 期末考 
35% 
  
3. 
 習題 
15% 
  
4. 
 R-教學及R作業 
15% 
  
 
課程進度
週次
日期
單元主題
第1週
 9/20,9/21  1.1 Introduction to Chapter 1;
1.2 Descriptive and Inferential Statistics;
1.3 Variables and Types of Data;
1.4 Data Collection and Sampling Techniques;
1.5 Observational and Experimental Studies;
1.6 Uses and Misuses of Statistics 
第2週
 9/27,9/28  Continue 1st week note and
R-programming language 
第3週
 10/04,10/05  4.1 Introduction to Chapter 4; 4.2 Sample spaces and Probability; 4-3 The Addition Rules for Probability; 4-4 The Multiplication Rules and Conditional Probability; 4-5 Counting Rules; 4-6 Probability and Counting Rules
 
第4週
 10/11,10/12  2.1 Introduction to Chapter 2; 2.2 Organizing Data; 2.3 Histograms; 2.4 Stem and Leaf Plots;
 
第5週
 10/18,10/19  3.1 Introduction to Chapter 3; 3.2 Measures of Central Tendency; 3.3 Measures of Variation; 3.4 Measures of Position; 3.5 Exploratory Data Analysis
14-4 Simulation Techniques;
14-5 The Monte Carlo Method 
第6週
 10/25,10/26  5.1 Introduction to Chapter 5;
5.2 Probability Distributions;
5-3 Mean, Variance, Standard Deviation, and Expectation;
5-4 The Binomial Distribution 
第7週
 11/01,11/02  6.1 Introduction to Chapter 6;
6.2 Properties of the Normal Distribution;
6.3 The Standard Normal Distribution; 
第8週
 11/08,11/09  Review the first six chapters. 
第9週
 11/15,11/16  Th: 校慶
Friday: Go over the fourth homework. 
第10週
 11/22,11/23  Midterm 
第11週
 11/29,11/30  7.1 Introduction to Chapter 7;
7.2 Confidence Intervals for the Mean (Known sd or n >=30);
7.3 Confidence Intervals for the Mean (sd unknown and n < 30);
7-4 Confidence Intervals and Sample Size for Proportions 
第12週
 12/06,12/07  Go over midterm.
7-5 Confidence Intervals for Variances and Standard Deviations
8.1 Introduction to Chapter 8
8.2 Steps in Hypothesis Testing
8.3 Z Test for the Mean/P-value method;
8.4 t Test for the Mean 
第13週
 12/13,12/14  8.2 Steps in Hypothesis Testing
8.3 Z Test for the Mean/P-value method;
8.4 t Test for the Mean 
第14週
 12/20,12/21  8.5 z Test for a Proportion;
8.6 Chi Square test for a Variance or Standard Deviation
9.1 Introduction Ch. 9;
9.2 Testing the Difference Between Two Means: Large Samples;
9.3. Testing the Difference Between Two Variances;
9.4 Testing the Difference Between Two Means: Small Independent Samples 
第15週
 12/27,12/28  9.3. Testing the Difference Between Two Variances; 9.4 Testing the Difference Between Two Means: Small Independent Samples
10.1 Introduction to Chapter 10;
10.2 Scatter Plots;
 
第16週
 1/03,1/04  10.3 Correlation; 10.4 Regression  
第17週
 1/10,1/11  11.1 Introduction to Chapter 11; 11.2 Test for Goodness of Fit; 11.3 Tests Using Contingency Tables
12.1 Introduction;
12.2 One-Way Analysis of Variance;
12.3 The Scheff&#233; Test and the Tukey Test;
12.4 Two-Way Analysis of Variance
13-1 Introduction;
13.2 Advantages and Disadvantages of Nonparametric Methods;
13.3 The Sign Test;
13.4 The Wilcoxon Rank Sum Test