課程名稱 |
統計導論 Introduction to Statistics |
開課學期 |
109-1 |
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 |
3.0 |
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304天數304 |
備註 |
總人數上限:40人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1091MATH2601_ |
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 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 |
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Office Hours |
每週四 13:00~14:30 每週二 14:20~15:20 備註: 1, 2為授課老師面談時間 |
指定閱讀 |
Lane, David M. and others. (2004) e-Statistics Education: A Multimedia Course
of Study. (網路取得電子書http://onlinestatbook.com/Online_Statistics_Education.pdf)
Dalgaard, P. (2008) Introductory Statistics with R. Springer-Verlag. (NTU
ebook, 電子書) |
參考書目 |
主要用書:
Mendenhall, Beaver, and Beaver. (2018) Introduction to Probability and Statistics.
Lane, David M. and others. (2004) e-Statistics Education: A Multimedia Course
of Study. (網路取得電子書http://onlinestatbook.com/Online_Statistics_Education.pdf)
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. |
期中考 midterm |
25% |
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2. |
習題 homework |
15% |
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3. |
期末考 final |
25% |
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4. |
R-教學及R作業 |
15% |
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5. |
小考 Quizzes |
20% |
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週次 |
日期 |
單元主題 |
第1週 |
9/15, 17 |
Chapter 1: Introduction and what is Statistics
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第2週 |
9/22, 24 |
Chapter 4: Describing Bivariate Data, 中秋節(連續放假19日至22日)
這門課建議使用的程式語言為Python,但是如果同學已經熟悉其他程式語言(R 或 matlab),交作業時可以使用該語言來撰寫程式。
請由下列網址下載Anaconda並安裝在你的電腦裡,你可以考慮使用Jupter Notebook上編輯程式碼。
https://www.anaconda.com/products/individual
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第3週 |
9/29, 10/01 |
Chapter 4: Describing Bivariate Data
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第4週 |
10/06, 08 |
Chapter 2 Graphing Distribution
Chapter 3 Summarizing Distributions
Wednesday: R programming
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第5週 |
10/13, 15 |
10日 國慶紀念日(放假日)
Chapter 5. Probability
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第6週 |
10/20, 22 |
Chapter 5 |
第7週 |
10/27. 29 |
R program on Wednesday, Chapter 5. Probability
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第8週 |
11/03, 05 |
Chapter 5: Wrap up Poisson, Multinomial and Hypergeometric Probability Distribution. Histogram
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第9週 |
11/10, 12 |
Review and Chapter 7.3: CentralLimitTheorem |
第10週 |
11/17, 19 |
11/19 期中考試 範圍: Probability and Statistics Chapter1 - Chapter6 (前一半) |
第11週 |
11/24, 26 |
Chapter 9: Sampling Distributions, (Chapter 8 Advanced Graphics
Chapter 10. Estimation) |
第12週 |
12/01, 03 |
Chapter 11. Logic of Hypothesis Testing
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第13週 |
12/08, 10 |
7日 停修申請截止
Chapter 11. Logic of Hypothesis Testing |
第14週 |
12/15, 17 |
Quiz 2 on 12/9 from 16:30 to 17:20. Chapter 12 Testing Means, Chapter 13 Power |
第15週 |
12/22, 24 |
Chapter 10. Estimation (Confidence Interval) |
第16週 |
12/29, 31 |
23rd: Quiz 3 (15:30-16:20)
25th: Chapter 14. Regression |
第17週 |
1/05, 07 |
30th Chapter 14. Regression
1日 開國紀念日(放假日) |
第18週 |
1/12, 13 |
期末考試 周四7,8節 |
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