The course provides an introduction to likelihood-based inference in Biology. We will cover both theoretical and practical aspects of maximum likelihood and Bayesian inference.
Meeting: Monday and Wednesday 10:00-10:50AM in 2025 Haworth
The
syllabus is available as a pdf by clicking here
.
Instructors (office hours by appointment):
Ford Ballantyne | fb4@ku.edu | 864-1868 | 154 Higuchi |
John Kelly | jkk@ku.edu | 864-3706 | 5005 Haworth |
Mark Holder | mtholder@ku.edu | 864-5789 | 6031 Haworth |
Grades will be based on class participation and homework assignments. We will have approximately one homework assignment per week.
Date | Topic and Links | Assignments |
---|---|---|
Week 1 Jan 24, Jan 26 | Probability, random variables, distributions | |
Week 2 Jan 31, Feb 02 | Random samples, sample distributions, likelihood | |
Week 3 Feb 07, Feb 09 |
Explicitly specifying variability: likelihood examples and Bayes' rule.
Notes on probability by Bálint Tóth |
Assignment 1 (due Wed. Feb 16th) |
Week 4 Feb 14, Feb 16 | Likelihood examples and maximum likelihood estimation | Assignment 2 (due Wed. Feb 23rd). |
Week 5 Feb 21, Feb 23 | Review / Likelihoo ratio test statistic | |
Week 6 Feb 28, Mar 02 |
Model Selection/Parametric bootstrapping
Some notes from lecture. . |
Assignment 3
.
The example to contemplate for Monday's class |
Week 7 Mar 07, Mar 09 |
Computational aspects: numerical optimization.
Notes on sufficiency and identifiability |
|
Week 8 Mar 14, Mar 16 |
Computational aspects: numerical optimization (continued)
generalMismatchedFights.R.txt - R script generalMismatchedFights.py.txt - Python script genericMultiParamLRTest.py.txt - a more general Python script simpleData.txt - data set used by the R and "generic" Python script numerical_opt.pdf notes. |
2011_LHM_HW4.txt
the homework assignment.
templateParametricBoot.py.txt (probably the best python template for the homework). |
Mar 21 - Mar 27 | SPRING BREAK | |
Week 9 Mar 28, Mar 30 | Generalized Linear Models |
Homework 5
2011_LHM_HW5.pdf
Homework 5 Excel spreadsheat CAD_data.xls Template for the homework: hw5templateParametricBoot.py.txt |
Week 10 Apr 04, Apr 06 | Generalized Linear Models (continued) | |
Week 11 Apr 11, Apr 13 | Generalized Linear Models (continued) | |
Week 12 Apr 18, Apr 20 | more Generalized Linear Models |
Homework 6 (due Wed. Apr 27th):
HW6.doc
Updated Apr. 21
Data file: skinks_eat_bugs.csv Template: template_HW6.py.txt Updated Apr. 23 |
Week 13 Apr 25, Apr 27 |
Computational aspects of Bayesian inference: Markov chain Monte Carlo (MCMC).
Some notes: 2011_lhm_bayesian_mcmc_1.pdf |
|
Week 14 May 02, May 04 |
Multiparameter MCMC.
latent_variable_MCMC.pdf (notes)
Code for MCMC over the five parameters: gekko_glm_mcmc.py.txt Code for MCMC over the five parameters and the latent variables: latent_gekko_svl.py.txt Slides for Wed, May 4th lecture latentVarSlides.pdf Peter Green posts a link to "Trans-dimensional Markov chain Monte Carlo" on his site: http://www.maths.bris.ac.uk/~mapjg/Papers.html |
Homework 7:
2011_LHM_HW7.pdf
the data: fertilization_data.csv the (hopefully) easier template to use: 2011_LHM_HW7_template.py.txt |
Week 15 May 09, May 11 |
Hastings ratio and model jumping
Some slides: hastingsRatio.pdf More slides: bayesFactorLecture.pdf |
Homework 8: 2011_LHM_HW8.pdf |