課程名稱 |
統計導論 Introduction to Statistics |
開課學期 |
101-1 |
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 |
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學分 |
3 |
全/半年 |
半年 |
必/選修 |
選修 |
上課時間 |
星期一7,8(14:20~16:20)星期三2(9:10~10:00) |
上課地點 |
天數102天數102 |
備註 |
為大學部學生設計。 總人數上限:50人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1011IntroStat |
課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
課程大綱
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課程概述 |
Topics include exploratory data analysis and graph such as 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).
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課程目標 |
This course will include homework assignments, 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
management science, 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 |
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Office Hours |
每週一 13:20~15:00 每週三 08:00~09:00 每週五 17:00~18:00 備註: 授課老師 1, 2; 課程助教 3 天數r555 |
指定閱讀 |
Nolan, D. and Speed, T. (2000) Stat labs: Mathematical Statistics Through Applications. Springer. (NTU ebook, 電子書)
Dalgaard, P. (2008) Introductory Statistics with R. Springer-Verlag. (NTU
ebook, 電子書) |
參考書目 |
主要用書:
Nolan, D. and Speed, T. (2000) Stat labs: mathematical statistics through
applications. Springer.
(NTU ebook 電子書)
Dalgaard, P. (2008) Introductory Statistics with R. Springer-Verlag. (NTU ebook,
電子書)
參考用書: 任何初階統計用書或
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. |
小考 Quizzes |
10% |
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2. |
R-教學及R作業 |
20% |
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3. |
習題 homework |
20% |
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4. |
期末考 final |
25% |
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5. |
期中考 midterm |
25% |
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週次 |
日期 |
單元主題 |
第1週 |
09/10 |
Chap 1: Infant health. Go over descriptive statistics, quantile plots and normal approximation. Objective: Infer causation from observed association.
(In this week, we finish the material presented in 2012week1.ppt.)
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第2週 |
09/17 |
Go over ch1.pdf and discussion presented in Ch1infant.pptx and two ppt files on data summary.
09/19 R-programming language: How to instal R and get start (mean, sd,hist...) 於電腦教室進行 |
第3週 |
09/24 |
Finish DiscreteRV.pdf. |
第4週 |
10/01 |
Finish up on checking normal probability plot and QQ plot.
10/03 R-programming language: Data Frames (Input, Output) and math tools 於電腦教室進行 |
第5週 |
10/08 |
10日 國慶紀念日(放假日)
Chapter 2. Video games. Go over simple random sampling, confidence intervals, and bootstrap method
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第6週 |
10/15 |
Chapter 2. Video games. Go over simple random sampling, confidence intervals, and bootstrap method
10/17 R-programming language: R Function and Loop 於電腦教室進行
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第7週 |
10/22 |
Chapter 4. Patterns in DNA. It covers estimation, testing and maximum likelihood; goodness-of-fit tests |
第8週 |
10/29 |
Chapter 4. Patterns in DNA. It covers estimation, testing and maximum likelihood; goodness-of-fit tests
10/31 R-programming language: Graphics 於電腦教室進行
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第9週 |
11/05 |
Chapter 4. Patterns in DNA. It covers estimation, testing and maximum likelihood; goodness-of-fit tests
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第10週 |
11/12 |
15日本校校慶(停課一天)。 期中考試 周一7,8節 (範圍: Ch 1, 2 and 4)
11/14 R programming: Graphics 於電腦教室進行 |
第11週 |
11/19 |
Chapter 5. Taste testing experiment. It covers design of experiments, contingency tables, chi-square tests of homogeneity and independence |
第12週 |
11/26 |
Go over midterm. Chapter 7. Crab growth patterns. It covers regression, correlation, prediction, and residuals.
11/28 R-programming language: Fast R code and Parallel R programming 於電腦教室進行 |
第13週 |
12/03 |
7日 停修申請截止;
Chapter 7. Crab growth patterns. It covers regression, correlation, prediction, and residuals.
Wednesday: R project 2 |
第14週 |
12/10 |
Chapter 7. Crab growth patterns. It covers regression, correlation, prediction, and residuals.
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第15週 |
12/17 |
R project 3; Helicopter Design,
Chapter 8. Instrument calibration. It includes simple linear models, replicate measurements, transformations, and confidence bands. |
第16週 |
12/24 |
Monday: Data collection of Helicopter Design, Wednesday: Test on R program. |
第17週 |
12/31 |
Helicopter Design
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第18週 |
2013/01/07 |
期末考試 周一7,8節 |
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