Schedule and Lectorials
Here is your road map for the course!
Week 1-4: lectures (online)
Week 1
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Introduction to regression analysis
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Simple linear regression
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Terminologies
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Correlation
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| 📚Slides | 📒 [Reading-Ch1 Introduction to Linear Regression Analysis] | 📊 Data Sets - anscombe |
📎 Problems - Install R and R studio | 🔖Answers |
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Week 2 - 3
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Simple linear regression (cont.)
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Simple linear regression model
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Least-squares estimation of the parameters
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| 📚Slides | 📒 [Reading-Ch2/2.2.2 Introduction to Linear Regression Analysis] | 📊 Data Sets - alr3::heights |
📎 Problems | 🔖Answers - Discussions |
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Week 4
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Simple linear regression (cont.)
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Model adequacy checking
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Introduction
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Residual Analysis
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| 📚Slides | 📒 Reading - Ch1 (2.6) and Ch4 (4.2.3) | 📊 Data Sets | 📎 Problems | 🔖Answers |
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Week 5-6: Discussion/practical (in class)
Week 5 - 6
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Coefficient of determination
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Hypothesis testing on the slope and intercept
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Interval estimation in simple linear regression
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Prediction of new observations: point estimates and prediction intervals
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Regression through the origin
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Regression analysis with R
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Problem discussion and Regression Analysis with R
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Regression analysis with other software (Python, Minitab, SPSS, Excel) 📚
| 📚 1. Slides 2. Basics of R Programming | 📒 Reading - Ch1 and Ch2 (2.3, 2.4) | 📊 Data Set - house.csv | 📎 Problems Tutorial 2 | 🔖 Additional problems - Ch2 Problems: 2.1 - 2.17 |
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Week 7 - 8: lectures (online)
Week 7
R for Reproducible Scientific Analysis - Visit Google Classroom
Assignment due: 19 Oct 2020
Mid Exam: Cancelled due to Covid-19 Outbreak
Week 8
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Multiple linear regression
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Introduction
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Estimation of the model parameters
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Residual analysis
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| 📚 Slides | 📒 Reading - Ch3 | 📊 Data Sets - heart.data.csv | 📎 Problems | 🔖Answers |
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Week 9
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ANOVA
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Test of significance of regression
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Tests on individual regression coefficients
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| 📚 Slides | 📒 Reading - here | 📊 Data Sets - heart.data.csv and alr3::heights |
📎 Problems - Quiz Google Classroom | 🔖Answers |
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Week 10
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Confidence intervals in multiple regression
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Confidence intervals on the regression coefficients
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Confidence interval estimation of the mean response
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Prediction of new observations
Mid Evaluation Assignment - Visit LMS/ Google Classroom (1 Nov 2020) 📝
Assignment deadline: 15 Nov 2020
Special considerations email me on or before 8 Nov 2020
| 📚 Slides | 📒 Reading - Chapter 3, Montgomery, Peck, Vining | 📊 Data Sets | 📎 Problems | 🔖Answers |
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Week 11
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Transformations
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Variance-stabilization transformations
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Transformations to linearize the model
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Analytical methods for selecting a transformation
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| 📚Slides | 📒 Reading - Section 3.3, Montgomery, Peck, Vining | 📊 Data Sets - coconut.csv salarydata.csv | 📎 Problems | 🔖Answers |
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14 November 2020 - Public Holiday (Deepavali Festival Day)
Week 12
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Detection and treatment of outliers
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Diagnostics for leverage and influence
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Importance of detecting influential observations
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Leverage
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Measures of influence
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Treatment of influential observations
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Regression with qualitative variables
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Indicator/ Dummy variables
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Indicator variable with more than two levels
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More than one indicator variable
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Interaction term involving dummy variables
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| 📚 Slides-i Slides-ii | 📒 Reading - Ch6, 11.1, Ch8 (Montgomery, Peck, Vining) | 📊 Data Sets - see slides | 📎 Problems | 🔖Answers - see Week 13 discussion notes |
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Week 13-14: Discussion/practical (live - zoom)
Week 13
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Variable selection procedures
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Introduction
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All possible regressions
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Forward selection procedure
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Backward elimination procedure
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Stepwise method
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| 📚 Slides | 📒 Reading - Ch 9 | 📊 Data Sets - real-estate.csv | 📎 Problems | 🔖Answers - Inclass discussion |
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Week 14
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Multicollinearity
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Introduction
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Multocollinearity diagnostics
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Treatments for dealing with multicollinearity
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Bootstrapping in regression
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Introduction to bootstrap sampling
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Bootstrap sampling in regression
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Bootsrap confidence intervals
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| 📚Slides - 1 Slides - 2 | 📒 Reading - Ch 10 | 📊 Data Sets-bloodpressure | 📎 Problems | 🔖Answers - Inclass discussion |
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Mid semester examination - Answer discussions.
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Model questions: Download from the Google Classroom. We will discuss answers next week (12 Dec 2020).
Week 15: Revision (live - zoom)
Week 15: Revision
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Current state-of-art techniques in regression analysis and statistical modelling
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Model questions: Discuss answers
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Open problems
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Recap
| 📚Slides | 📒 Reading | 📊 Data Sets | 📎 Problems | 🔖Answers |
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Week 16-18: Study leave and Final Examination
Week 16: Study leave
Week 17-18: Final exam
END