課程資訊
課程名稱
 統計導論
INTRODUCTION TO STATISTICS 
開課學期
 95-1 
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
 星期四7,8,9(14:20~17:20) 
上課地點
 新生303 
備註
 為大學部學生設計。
總人數上限：100人
外系人數限制：25人 
Ceiba 課程網頁
 http://ceiba.ntu.edu.tw/951IntroStat 
課程簡介影片
 
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課程大綱
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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 13:00~15:00 備註： If you cannot come to the scheduled office hours, you can send me an email to make appointment. 
指定閱讀
  
參考書目
 Textbook:
Bluman, A.G. (2007) Elementary statistics：a step by step
approach. 6th edition. McGraw-Hill.
ISBN 978-0-07-110590-3
Reference:
Utts, J. M. (1999) Seeing through statistics. 2nd edition.
Duxbury. 
評量方式
(僅供參考)
  
No.
項目
百分比
說明
1. 
 期中考 
30% 
  
2. 
 期末考 
30% 
  
3. 
 隨堂測驗 
20% 
  
4. 
 作業與報告 
20% 
  
 
課程進度
週次
日期
單元主題
第1週
 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
 9/28  2.1 Introduction to Chapter 2;
2.2 Organizing Data;
2.3 Histograms;
2.4 Stem and Leaf Plots;
R-programming language 
第3週
 10/05  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

 
第4週
 10/12  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5週
 10/19  14-4 Simulation Techniques;
14-5 The Monte Carlo Method  
第6週
 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
 11/02  6.1 Introduction to Chapter 6;
6.2 Properties of the Normal Distribution;
6.3 The Standard Normal Distribution; 
第8週
 11/09  6.4 Applications of the Normal Distribution;
6.5 The Central Limit Theorem;
6.6 The Normal Approximation to the Binomial Distribution

 
第9週
 11/16  Midterm

 
第10週
 11/23  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
7-5 Confidence Intervals for Variances and Standard Deviations  
第11週
 11/30  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12週
 12/07  8.5 z Test for a Proportion;
8.6 Chi Square test for a Variance or Standard Deviation  
第13週
 12/14  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14週
 12/21  10.1 Introduction to Chapter 10;
10.2 Scatter Plots;
10.3 Correlation;
10.4 Regression 
第15週
 12/28  11.1 Introduction to Chapter 11;
11.2 Test for Goodness of Fit;
11.3 Tests Using Contingency Tables  
第16週
 1/04  12.1 Introduction;
12.2 One-Way Analysis of Variance;
12.3 The Scheffé Test and the Tukey Test;
12.4 Two-Way Analysis of Variance  
第17週
 1/11  13-1 Introduction;
13.2 Advantages and Disadvantages of Nonparametric Methods;
13.3 The Sign Test;
13.4 The Wilcoxon Rank Sum Test  
第18週
 1/18  Final Exam