Week by Week: Homeworks, Labs, Data and Notes for QERM 598
(For an archived version of this page from last year, see HomeWorksAndLabs2007.)
Week 0: Basic Introduction to R
If you don't have R already, you can download it from this website. You'll need to download the executable binaries: For Windows users they are here; for MacOS users they are here. Install R and run it.
R is an open source program, which means it's free, efficient and no-frills. It also means that documentation is patchy at best and learning how to use it involves poking around the internet, blindly groping around the internal help file, and, whenever possible, stealing other people's code.
Thankfully, there is lots of expertise at QERM! To start off, download or open the file below, print it out, read it, and walk through the examples. There is a brief assignment at the end of the lab for practise.
Week 1: Distributions and the Central Limit Theorem
Obtaining quantiles and p-values from distributions. Plotting cdfs and pdfs. Generating random data. Introducing plotting functions and loops. Illustrating the Central Limit Theorem numerically.
Week 2: Comparing two samples: Monte Carlo and t-tests
You will need to download the following data files to perform the lab and the homeworks.
You will also need to read Mike Keim's notes on non-parametric tests.
Week 3: Introduction to Analysis of Variance
Week 4: Linear Regression
Week 5: Chi-squared Contingency Tables
There is, by the way, a great explanation/derivation of the theory behind Chi-Squared contingency tests and other applications of the central limit theorem here.
Week 6: Introduction to Stochastic Modelling
Week 7: Population Dynamics Models and MCMC
Week 8: Project Discussions
Week 9: Fitting models and optimization
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