課程資訊
課程名稱
貝氏空間分析
Bayesian Analysis for Spatial Data 
開課學期
112-1 
授課對象
學程  傳染病學學程  
授課教師
溫在弘 
課號
Geog5140 
課程識別碼
228 U3530 
班次
 
學分
3.0 
全/半年
半年 
必/選修
選修 
上課時間
星期三7,8,9(14:20~17:20) 
上課地點
地理二教室 
備註
本課程中文授課,使用英文教科書。
總人數上限:20人 
 
課程簡介影片
 
核心能力關聯
本課程尚未建立核心能力關連
課程大綱
為確保您我的權利,請尊重智慧財產權及不得非法影印
課程概述

This course aims to provide an introductory exploration of Bayesian spatial statistics, with the goal of equipping students with the necessary computational skills to analyze geographically represented data. Bayesian inference has become one of widely utilized statistical methods for addressing spatial and temporal dependency in the fields of geo-informatics, environmental science, and social sciences. Throughout the course, we will focus on Bayesian modeling techniques that are specifically designed for spatial-temporal data in geography and related scientific disciplines. The lectures will be organized around three main themes: the fundamental concepts of Bayesian inference, generalized hierarchical models, and conditional autoregressive models. It is expected that students have a prior background in statistics, including regression analysis as well as a basic understanding of statistical computing. The course will involve substantial computational work, primarily utilizing the R programming language. Additionally, students are also encouraged to possess a background in geographic information systems (GIS). 

課程目標
Students should be able to: [1] understand the concepts of Bayesian inference, [2] understand how spatial autocorrelation plays a role in statistical modeling, and [3] use Bayesian statistical models for their own research and implement them using the R language. 
課程要求
Course Participation, Computer Labs and Weekly Assignment 
預期每週課後學習時數
 
Office Hours
 
指定閱讀
Robert P. Haining, Guangquan Li (2020), Modelling Spatial and Spatial-Temporal Data: A Bayesian Approach, Chapman and Hall/CRC 
參考書目
 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
Mid-term Exam 
25% 
 
2. 
Final Exam 
25% 
 
3. 
Labs and assignments 
50% 
 
 
針對學生困難提供學生調整方式
 
上課形式
提供學生彈性出席課程方式
作業繳交方式
學生與授課老師協議改以其他形式呈現
考試形式
其他
由師生雙方議定
課程進度
週次
日期
單元主題
第1週
09/06  Course Introduction 
第2週
09/13  Sampling: Monte Carlo Methods 
第3週
09/20  Bayesian Inference: Binomial Probability Model 
第4週
09/27  Bayesian Conjugate Priors 
第5週
10/04  Markov Chain Monte Carlo (MCMC) 
第6週
10/11  MCMC Sampling and Diagnostics 
第7週
10/18  Using RStan for Posterior Inference and Prediction 
第8週
10/25  * Midterm Exam * 
第9週
11/01  Bayesian Linear Regression 
第10週
11/08  Generalized Linear Model 
第11週
11/15  Hierarchical Linear Models: Estimating Random Effects 
第12週
11/22  Spatial Neighbors and Autocorrelation 
第13週
11/29  Conditional Autoregressive Models 
第14週
12/06  Estimating Localized Spatial Autocorrelation 
第15週
12/13  Spatio-temporal Modeling 
第16週
12/20  * Final Report *