課程資訊

Applied Linear Statistical Models (II)

104-2

Agron5088

621 U6740

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1042Agron5088_ALSM2

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.

Students will understand the general theory of linear and generalized linear models, and how these methods are correctly applied to data by using R.

Knowledge of matrix algebra, statistics and mathematical statistics will be assumed.

Office Hours

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.

(僅供參考)

 No. 項目 百分比 說明 1. Homework 40% 2. Midterm 30% 3. Final Exam 30%

 課程進度
 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