課程名稱 |
應用線型統計模式 (二) Applied Linear Statistical Models (II) |
開課學期 |
104-2 |
授課對象 |
生物資源暨農學院 農藝學系 |
授課教師 |
蔡欣甫 |
課號 |
Agron5088 |
課程識別碼 |
621 U6740 |
班次 |
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學分 |
3 |
全/半年 |
半年 |
必/選修 |
選修 |
上課時間 |
星期四6,7,8(13:20~16:20) |
上課地點 |
生統教室 |
備註 |
先修課程:統計學 總人數上限:30人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1042Agron5088_ALSM2 |
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 |
Linear and generalized linear models are powerful statistical tools for agronomic researches, which have been widely used in the data analysis of field trails and breeding studies. The aim of this course is to review and extend student's knowledge of linear and generalized linear models. It provides a solid basis for further studying other subjects of agronomy. Focus will be placed on introducing the fundamental theory and general techniques for parameter estimation and inference. Some related issues in agricultural studies, for example, the estimability of contrasts and testability of hypotheses in comparative experiments; statistical inference on heritability and other variance components in breeding studies, will be discussed and illustrated by practical examples. To consider different experimental scenarios, some classes of generalized linear models, including the logistic and Poisson regression models, will be introduced for characterizing qualitative response variables. In addition, students will also learn how to use R to analyze real-life data during lecture. |
課程目標 |
Students will understand the general theory of linear and generalized linear models, and how these methods are correctly applied to data by using R. |
課程要求 |
Knowledge of matrix algebra, statistics and mathematical statistics will be assumed. |
預期每週課後學習時數 |
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Office Hours |
備註: 10:00-11:00, Monady |
指定閱讀 |
待補 |
參考書目 |
Textbooks:
1. Khuri, A. I. (2009). Linear Model Methodology. Chapman & Hall/CRC.
2. Myers, R. H., Montgomery, D. C., Vining, G. G. and Robinson, T. J. (2010). Generalized Linear Models with Applications in Engineering and the Science. 2nd Edition. Wiley.
References:
1. Faraway, J. J. (2014). Linear Models with R. 2nd Edition. Chapman & Hall/CRC.
2. Faraway, J. J. (2005). Extending the Linear Model with R. Chapman & Hall/CRC. |
評量方式 (僅供參考) |
No. |
項目 |
百分比 |
說明 |
1. |
Homework |
40% |
|
2. |
Midterm |
30% |
|
3. |
Final Exam |
30% |
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週次 |
日期 |
單元主題 |
第1週 |
2/25 |
Introduction and Review of Matrix Algebra |
第2週 |
3/03 |
Multivariate Normal Distribution |
第3週 |
3/10 |
Quadratic Forms and Their Distributions |
第4週 |
3/17 |
Quadratic Forms and Their Distributions |
第5週 |
3/24 |
Full-Rank Linear Models |
第6週 |
3/31 |
Full-Rank Linear Models |
第7週 |
4/07 |
Less-Than-Full-Rank Linear Models |
第8週 |
4/14 |
Less-Than-Full-Rank Linear Models |
第9週 |
4/21 |
Less-Than-Full-Rank Linear Models |
第10週 |
4/28 |
Midterm |
第11週 |
5/05 |
Fixed-Effects Models for Unbalanced Data |
第12週 |
5/12 |
Fixed-Effects Models for Unbalanced Data |
第13週 |
5/19 |
Models for Binary Data |
第14週 |
5/26 |
Models for Binary Data |
第15週 |
6/02 |
Models for Count Data |
第16週 |
6/09 |
Dragon Boat Festival |
第17週 |
6/16 |
Models for Count Data |
第18週 |
6/23 |
Final Exam |
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