Regression Analysis -104 Academic Year

This course is provided by the NYCU Institute of Statistic .

The goals of this course are to introduce regression analysis for continuous and discrete data. Topics include simple and multiple linear regressions, inferences for regression coefficients, confounding and interaction, regression diagnostics, logistic regressions, Poisson regressions, and generalized linear models.

The course consists of lectures and laboratory sessions. The lectures are given on Tuesday 9:00-11:00. The lectures will primarily review and reinforce major issues. There is a laboratory session on Tuesday 11:10-12:00. The laboratory exercise will be distributed prior to each class, and students are expected to read each lab exercise at home. Each student will be assigned to a lab group and discuss the exercise with group members in the lab. At the end of the lab, there will be a seminar-type discussion. Each group is required to hand in a write-up of laboratory problems.

The course uses the R software for statistical computing. Students are expected to be familiar with the usage of the software.

 

Textbook:

Handouts corresponding to each lecture will be available on the course website before each class.

The required textbooks for this course are : Montgomery, D.C., Peck, E.A., Vining, G.G. (2012). Introduction to Linear Regression Analysis (5th Edition). Wiley. (ILRA)

For perfect learning results, please buy textbooks!

 

Instructor(s) Institute of Statistic Prof. Guan-Hua Huang
Course Credits 3 Credits
Academic Year 104 Academic Year
Level Graduate Student
Prior Knowledge Students are expected to have background on undergraduate probability, and mathematical statistics. Computer programming knowledge on R and/or C/C++ is required.
Related Resources Course Video   Course Syllabus   Course Calendar

WeekCourse ContentCourse VideoCourse Download
IntroductionWatch OnlineMP4 Download
Lecture 1Lecture 1-1: A review of basic statistical conceptsWatch OnlineMP4 Download
Lecture 1-2: Measures of association with emphasis on the di erence of meansWatch OnlineMP4 Download
Lecture 2Lecture 2: Basics of linear regression analysisWatch OnlineMP4 Download
Lab 2 同學報告: 謝念廷 陳柏魁 許凱璋 席瑋辰 陶冠蘭 劉冠妤同學Watch OnlineMP4 Download
Lecture 4Lecture 4: CorrelationWatch OnlineMP4 Download
Lab 4 同學報告: 李杰、林經濰、陳珮文、陳奕良、彭恩榮、李驊同學Watch OnlineMP4 Download
Lecture 5Lecture 5-1: Analysis of variance (ANOVA) table and prediction of yWatch OnlineMP4 Download
Lecture 5-2: Basics of multiple linear regressionWatch OnlineMP4 Download
Lab 5 同學報告: 石昕秀、李東恩、侯昱德、劉學汝、李俊昌、方思婷同學Watch OnlineMP4 Download
Lecture 6Lecture 6-1: Hypothesis testing in multiple regressionWatch OnlineMP4 Download
Lecture 6-2: Polynomial terms and dummy variablesWatch OnlineMP4 Download
Lab 6 同學報告: 顏天保、劉又齊、藍玉朋、曾郁翔、唐心誠、林志豪 同學Watch OnlineMP4 Download
Lecture 7Lecture 7: Interaction and confoundingWatch OnlineMP4 Download
Lecture 7 補充: Confounding and interaction in epidemiologyWatch OnlineMP4 Download
Lab 7 同學報告: 黃郁豪、梁思婕、張登凱、何杰翰、周佳瑜同學Watch OnlineMP4 Download
Lecture 8Lecture 8-1: Regression diagnosisWatch OnlineMP4 Download
Lecture 8-2: Variable selection and model buildingLecture 8-2: Variable selection and model buildingWatch OnlineMP4 Download
Lab 9 同學報告: 許凱璋同學Watch OnlineMP4 Download
Lab 9 同學報告: 李杰、林經濰、陳珮文、陳奕良、彭恩榮、李驊同學Watch OnlineMP4 Download
Lecture 11Lecture 11: Relative risk, odds ratio and signi cance testing for 2*2 tablesWatch OnlineMP4 Download
Lecture 12Lecture 12: Introduction to logistic regressionWatch OnlineMP4 Download
Lab 12 同學報告: 石昕秀、李東恩、侯昱德、劉學汝、李俊昌、方思婷同學Watch OnlineMP4 Download
Lecture 13Lecture 13-1: Logistic regression for contingency tablesWatch OnlineMP4 Download
Lecture 13-2: Goodness-of- t for logistic regressionWatch OnlineMP4 Download
Lab 13 同學報告: 顏天保、劉又齊、藍玉朋、曾郁翔、唐心誠、林志豪同學Watch OnlineMP4 Download
Lecture 14Lecture 14: Logistic regression for case-control data and conditional logistic regressionWatch OnlineMP4 Download
Lab 14 同學報告: 何杰翰、梁思婕、張登凱、周家瑜、黃郁豪同學Watch OnlineMP4 Download
Lecture 15Lecture 15: Analysis of polytomous dataWatch OnlineMP4 Download
Lab 15 同學報告: 謝念廷 陳柏魁 許凱璋 席瑋辰 陶冠蘭 劉冠妤同學Watch OnlineMP4 Download
Lecture 16Lecture 16: Poisson regression and log-linear modelWatch OnlineMP4 Download
Lab 16 同學報告: 李杰、林經濰、陳珮文、陳奕良、彭恩榮、李驊同學Watch OnlineMP4 Download
Lecture 17Lecture 17: Generalized linear modelsWatch OnlineMP4 Download
Lab 17 同學報告: 石昕秀、李東恩、侯昱德、劉學汝、李俊昌、方思婷同學Watch OnlineMP4 Download

Course Objectives

The goals of this course are to introduce regression analysis for continuous and discrete data. Topics include simple and multiple linear regressions, inferences for regression coefficients, confounding and interaction, regression diagnostics, logistic regressions, Poisson regressions, and generalized linear models.

The course consists of lectures and laboratory sessions. The lectures are given on Tuesday 9:00-11:00. The lectures will primarily review and reinforce major issues. There is a laboratory session on Tuesday 11:10-12:00. The laboratory exercise will be distributed prior to each class, and students are expected to read each lab exercise at home. Each student will be assigned to a lab group and discuss the exercise with group members in the lab. At the end of the lab, there will be a seminar-type discussion. Each group is required to hand in a write-up of laboratory problems.

The course uses the R software for statistical computing. Students are expected to be familiar with the usage of the software.

 

Course Chapter

單元主題 內容綱要
A review of basic statistical conceptsILRA APPENDIX C.1, and an introductory statistics book
Measures of association with emphasis on the difference of means  
Basics of linear regression analysis ILRA 2.1, 2.2, 2.3 except 2.3.3, 2.4, 2.11
Correlation  ILRA 2.6, 2.12.2
Analysis of variance (ANOVA) table and prediction of y ILRA 2.3.3, 2.5
Basics of multiple linear regression ILRA 3.1, 3.2
Hypothesis testing in multiple regression ILRA 3.3
Polynomial terms and dummy variablesILRA 3.10, 7.1, 7.2.1, 7.2.2, 8.1, 8.2
Interaction and confounding  
Regression diagnosisILRA 4.1, 4.2, 4.4, 5.1, 5.2, 5.3, 5.4, 5.5, 6.1, 6.2, 6.3
Variable selection and model buildingILRA Chapter 10
Relative risk, odds ratio and significance testing for 2x2 tables ILRA 13.2.1, 13.2.2, 13.2.3, 13.2.4
Introduction to logistic regression  
Logistic regression for contingency tables 
Goodness-of-t for logistic regressionILRA 13.2.4, 13.2.5
Logistic regression of case-control data and conditional logistic regression 
Analysis of polytomous dataILRA 13.2.7
Generalized linear models ILRA 13.4
Poisson regression  ILRA 13.3

 

Course Book List

Handouts corresponding to each lecture will be available on the course website before each class.
The required textbooks for this course are : Montgomery, D.C., Peck, E.A., Vining, G.G. (2012). Introduction to Linear Regression Analysis (5th Edition). Wiley. (ILRA)

 

本課程行事曆提供課程進度與考試資訊。


單元
單元主題 閱讀資料
1 A review of basic statistical conceptsILRA APPENDIX C.1, and an introductory statistics book
2Measures of association with emphasis on the difference of means 
3Basics of linear regression analysisILRA 2.1, 2.2, 2.3 except 2.3.3, 2.4, 2.11
4CorrelationILRA 2.6, 2.12.2
5Analysis of variance (ANOVA) table and prediction of yILRA 2.3.3, 2.5
6Basics of multiple linear regressionILRA 3.1, 3.2
7Hypothesis testing in multiple regressionILRA 3.3
8Polynomial terms and dummy variablesILRA 3.10, 7.1, 7.2.1, 7.2.2, 8.1, 8.2
9Interaction and confounding  
10Regression diagnosisILRA 4.1, 4.2, 4.4, 5.1, 5.2, 5.3, 5.4, 5.5, 6.1, 6.2, 6.3
11Variable selection and model buildingILRA Chapter 10
12Relative risk, odds ratio and significance testing for 2x2 tablesILRA 13.2.1, 13.2.2, 13.2.3, 13.2.4
13Introduction to logistic regression 
14Logistic regression for contingency tables 
15Goodness-of-t for logistic regressionILRA 13.2.4, 13.2.5
16Logistic regression of case-control data and conditional logistic regression 
17Analysis of polytomous dataILRA 13.2.7
18Generalized linear modelsILRA 13.4
19Poisson regressionILRA 13.3