課程資訊
課程名稱
統計在地球科學的應用
Introductory Statistics for Geosciences 
開課學期
108-1 
授課對象
理學院  地質科學系  
授課教師
博 爾 
課號
Geo5141 
課程識別碼
224EU2790 
班次
 
學分
2.0 
全/半年
半年 
必/選修
選修 
上課時間
星期四8,9(15:30~17:20) 
上課地點
中庭大講堂 
備註
本課程以英語授課。如未滿足條件,請與授課教師討論加簽事宜。
限學士班三年級以上
總人數上限:60人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1081Geo5141_ 
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課程概述

This course will review basic statistical principles and associated statistical quantities that are routinely used in the geosciences to make sense of numerical data. The course will focus on understanding the assumptions underlying a variety of statistical techniques, and then consider some of the most commonly used methods. Topics include: probability, probability distributions, sampling and estimation, sampling distributions associated with the normal distribution (Chi squared distribution, Student's t distribution, F distribution), error estimation, weighted means, single and multivariable linear least squares regression, analysis of variance (ANOVA), Monte Carlo simulation, and principal component analysis (PCA). 

課程目標
This course will review basic statistical principles and associated statistical quantities that are routinely used in the geosciences to make sense of numerical data. The course will focus on understanding the assumptions underlying a variety of statistical techniques, and then consider some of the most commonly used methods. Topics include: probability, probability distributions, sampling and estimation, sampling distributions associated with the normal distribution (Chi squared distribution, Student's t distribution, F distribution), error estimation, weighted means, single and multivariable linear least squares regression, analysis of variance (ANOVA), Monte Carlo simulation, and principal component analysis (PCA). 
課程要求
One year of Calculus or professor's consent. 
預期每週課後學習時數
 
Office Hours
備註: mid-term exam, optional final exam 
指定閱讀
待補 
參考書目
Martin, B. R. (2012) Statistics for Physical Sciences. An Introduction. Elsevier. ISBN: 978-0-12-387760-4

Boas, Mary (2006) Mathematical Methods in the Physical Sciences. ISBN 0-471-19826-9

Bevington, P. R. and Robinson, D. K. (2003) Data Reduction and Error Analyses for the Physical Sciences. ISBN 0072472278
 
評量方式
(僅供參考)
   
課程進度
週次
日期
單元主題
Week 2
9/19  Probability 
Week 3
9/26  Probability 
Week 4
10/03  Probability distributions - binomial distribution, normal distribution, Poisson distribution 
Week 5
10/10  no class 
Week 6
10/17  Probability distributions continued 
Week 7
10/24  Statistics and experimental measurements 
Week 8
10/31  Chi sqare test, hypothesis testing 
Week 9
11/07  mid term exam 
Week 10
11/14  Analysis of variance (ANOVA) 
Week 11
11/21  two-way ANOVA, matrices 
Week 12
11/28  vectors, PCA 
Week 13
12/05  no class (8th East Asian AMS Conference, Nagoya, Japan) 
Week 14
12/12  linear regression, principal component analysis 
Week 15
12/19  Monte Carlo simulation 
Week 16
12/26  no class 
Week 17
1/02  final projects 
Week 18
1/09  final projects