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課程名稱 |
統計與大氣科學
Statistics with Meteorological Applications |
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開課學期 |
100-2 |
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授課對象 |
理學院 大氣科學系 |
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授課教師 |
吳明進 |
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課號 |
AtmSci2006 |
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課程識別碼 |
209 22200 |
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班次 |
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學分 |
3 |
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全/半年 |
半年 |
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必/選修 |
必修 |
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上課時間 |
星期二3,4(10:20~12:10)星期五2(9:10~10:00) |
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上課地點 |
大氣B105大氣B105 |
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備註 |
總人數上限：70人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1002SA |
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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 |
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課程大綱
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課程概述 |
觀測和模式輸出資料之統計分析是大氣科學研究和應用必備的基本工具之ㄧ。本學期課程將介紹統計分析相關的理論並以實際的大氣相關資料為例，說明統計方法的應用。本學期除了教科書及文獻研讀外，規劃讓學生使用matlab 套裝軟體分析台灣地區氣候資料。以幫助學生對各種統計方法的了解並建立實際分析資料的能力 |
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課程目標 |
(1) Introduction: Probability, Random variable and Probability distribution, Mathematical expectation.
(2) Some Discrete Probability Distribution: Binomial, Hyper-geometric, and Poisson distribution.
(3) Some Continuous Probability Distribution: Normal, Gamma, exponential, Chi-Squared, and Weibull distribution. T- distribution and F- distribution.
(4) Estimation: Statistical inference, Estimating. The mean & variance, Bayesian method of Estimation.
(5) Test of Hypotheses: Testing a statistical Hypotheses, One and two-tailed test., T-tests, Chi-Squared- tests, F-tests.
(6) Linear Regression and Correlation: Sample Linear Regression, Properties of the least square Estimation, Analysis of variance, Correlation, Multiple Linear Regression.
(7) Non Parametric statistics: Non parametric statistics.
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課程要求 |
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預期每週課後學習時數 |
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Office Hours |
每週一 15:00~17:00 |
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指定閱讀 |
(1) Walpole, R.E., R.H. Myers, and S.L. Myers, Probability and Statistics for Engineers and Scientists:8th ed. Pearson Education, NJ. 816 pp.
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參考書目 |
(1) Wilks. D.S., 2006: Statistical Methods in the atmospheric Sciences.
(2) Essenwanger, O.M., 1996: Elements of statistical analysis; general climatology world survey of climatology. Elsevier, Amsterdan-London-New York-Tokey, 424 pp.
(3) Essenwanger, O.M., 1976: Applied statistics in atmospheric science, part A, frequencies and curve fitting in developments in Atmospheric Science 4A. Elsevier, Amsterdan-London-New York-Tokey, 412 pp.
(4) Murphy, A.H. and R.W. Katz., editors ; probability, Statistics and Decision making in the atmospheric Sciences, Westview press, Boulder and London, 1995;545 pp.
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
隨堂考 |
25% |
5 次 |
2. |
作業 |
25% |
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3. |
期中考 |
25% |
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4. |
期末考 |
25% |
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週次 |
日期 |
單元主題 |
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第1週 |
2/21,2/24 |
Introduction to Statistics and Data Analysis in Atmospheric Sciences |
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第2週 |
3/2 |
probability , random variables and probability distribution |
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第3週 |
3/6,3/9 |
Mathematical Expectation |
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第4週 |
3/13,3/16 |
Some Discrete Probability Distribution |
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第5週 |
3/20,3/23 |
Some Continuous Probability Distribution |
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第6週 |
3/27,3/30 |
Some Continuous Probability Distribution,
Moment and Moment Generating Function |
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第7週 |
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Spring Break, Function of Random Variables |
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第8週 |
4/10,4/13 |
Fundamental Sampling Distribution and Data Description |
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第9週 |
4/17,4/20 |
mid-term examination,Fundamental Sampling Distribution and Data Description |
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第10週 |
4/24,4/27 |
Fundamental Sampling Distribution and Data Description |
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第11週 |
5/1,5/4 |
Fundamental Sampling Distribution, One and two-Sample Estimation Problem |
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第12週 |
5/8,5/11 |
Fundamental Sampling Distribution, One and two-Sample Estimation Problem |
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第13週 |
5/15,5/18 |
One and Two-Sample Estimation Problems |
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第14週 |
5/22,5/25 |
Tests of Hypothesis |
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第15週 |
5/29,6/1 |
Simple Linear Regression and Correlation |
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第16週 |
6/5,6/8 |
Multiple Linear Regression and Certain Nonlinear Regression Models |
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第17週 |
6/12,6/15 |
Stepwise Regression, PP and MOS, Nonparametric Statistics |
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第18週 |
6/19,6/22 |
final-examination |
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