# Advanced Methods in Biostatistics IV - Regression Modeling

Advanced Methods in Biostatistics IV covers topics in modern multivariate regression from estimation theoretic, likelihood-based, and Bayesian points of view. The course will cover extensions of these methods to correlated data using generalized estimating equations. The course will also cover more advanced topics for modern high-dimensional analysis, including sparse regression (Lasso), methods for higher order interactions (CART), and high-dimensional multiple testing.

# News

4/25/11 Class tomorrow (Tues. 4/26) will begin at 10:10AM. Roger Peng will be there to discuss the story behind his JAMA publication.

** 4/21/11 ** A new version of the Lecture 7 slides have been posted for today's lecture. The new slides
have a different tip/paper for today and have added some material.

** 4/19/11 ** If you include the words *reading* and *assignment* in your email to me
when turning in your reading assignments, I will be much more likely to find them and not
send you annoying emails.

** 4/12/11 ** Fill out the survey to give me feedback on the
course so far Here

** 4/11/11 ** New lecture notes (w/page numbers) have been
posted.

** 4/11/11 ** Last week's reading homework is due 4/12/11 before
the beginning of class. All future reading assignments will be due the
Tuesday after they are assigned in class. Sorry for the confusion!

**3/31/11 **: Homework 1 is Posted Below. The assignment is due by
10:30AM on April 12th. Email your assignment with title
``hw#-last_first.pdf'' to jfeder ``at'' jhsph.edu.

**3/29/11 **: Reading Assignment 1 is Posted Below
### Instructor

Jeff Leek
### Contact

Office: 615 N. Wolfe St., Rm. E3624

Email: jleek "at" jhsph.edu

Office hours: By Appointment, drop in, or email

Office Phone: 410-955-1166

TA: Jennifer Bobb

TA's Email: jfeder "at" jhsph.edu

### Class Times

Tuesday 10:30 - 11:50am

Thursday 10:30 - 11:50am
### Location

Class: Wolfe W4007
### Syllabus

[ PDF ]
### Final Project

Due Date: May 20th, 5pm
### Lecture Slides and Readings

**Mar 29 (Tues)**: Course overview, revision of key concepts,
estimating equations, and the "sandwich"

Slides:Lecture 1

** Reading Assignment 1 - Due April 5th 10:30AM **** Reading HW1 **

Corresponding Paper: Glynn et al. (2008) JRSS-A Glynn

**
****Mar 31 (Thurs)**: An example of EE, adding assumptions, mean
models, quasi-likelihood

Slides:Lecture 2

** Homework 1 - Due April 12th 10:30AM **** HW1.pdf **

HW1.tex
**April 5 (Tues)**: Efficiency, example of quasi-likelihood, likelihood

Slides:Lecture 3

** Reading Assignment 2 - Due April 12th 10:30AM **** Reading HW2 **

Corresponding Paper: Peng et al. (2008) JAMA Peng

**
**
**April 7 (Thurs)**: Likelihood details, model checking, interactions

Slides:Lecture 4

**April 12 (Tues)**: Interactions, likelihood special cases (case-control, log-linear)

Slides:Lecture 5

** Reading Assignment 3 - Due April 19th 10:30AM **** Reading HW3 **

Corresponding Papers: Tatem et al. (2004) Nature Tatem

Replies (2004) Nature Replies

** Homework 2 - Due April 26th 10:30AM ** HW2.pdf

HW2.tex

**
**

**April 14 (Thurs)**: Log-linear, motivating vector outcomes, EE's for vector outcomes

Slides:Lecture 6

**April 19 (Tues)**: EE's for vector outcomes, GEE

Slides:Lecture 7

** Reading Assignment 4 - Due April 26th 10:30AM ** Reading HW4

Corresponding Papers: Liang and Zeger (1986) Biometrika Liang and Zeger

**April 21 (Thurs)**: GEE

Slides:Lecture 7 (updated) - This is an updated version of Lecture 7 with more slides/a different tip and paper.

**April 26 (Tues)**: Earthquake analysis

Slides:Lecture 8

** Reading Assignment 5 - Due May 3rd 10:30AM ** Reading HW5

Corresponding Paper: Felsenstein (1985) Evolution Felsenstein

**April 28 (Thurs)**: Bootstrap intro

Slides:Lecture 9

**May 3 (Tues)**: Hypothesis testing/permutation/bootstrap

Slides:Lecture 10

** Homework 3 - Due May 17 10:30AM ** HW3.pdf

HW3.tex

**May 5 (Thurs)**: More bootstrap

Slides:Lecture 10 (updated) - This is an updated version of Lecture 10 with more slides/a different tip and paper

**May 10 (Tues)**: Multiple hypothesis testing, Empirical Bayes, Bias-variance tradeoff

Slides:Lecture 11

** Final Project - Due May 20 5:00PM ** Project Description

Flights Data

Data Description

Final Project Template (Optional) , Style file for template ,
Bibtex style file, Sample Bibtex file

**May 12 (Thurs)**: Ridge regression, lasso, cross-validation

Slides:Lecture 12

**May 17 (Tues)**: Bayesian methods/health risks of environmental exposures (Guest Lecture by Jennifer Bobb)

Slides:Bayesian methods

**May 19 (Thurs)**: SVD/PCA

Slides:Lecture 13

# Data Sets

Altham

Earthquakes

Crabs

Dugongs

Dental Growth Data - The girls are the first 11 rows