University of Illinois i-mark University of Illinois BIOE 582 (Fall 2017)
Statistics and Algorithms in Genomic Biology

Home   Schedule

Date Topic                         Slides                         Matlab code      Homework/Exams
8/22  Why probability and statistics in Genomics?  Lecture 0    
8/29 Probability spaces, events, Venn diagrams. Definitions of probability:
statistical. 
Lecture 1 coin_toss.m  
8/31 Matlab primer.  Definitions of probability: inductive. Combinatorics Lecture 2    
9/5 Axioms of probability. Conditional probability Lecture 3    
9/7 Circuits. Bayes theorem Lecture 4   hw1.pdf
9/12 Monty Hall Problem. Discrete Random Variables. Mean, Variance, etc. Lecture 5

monty_hall_template.m

monty_hall.m

 
9/14 Useful discrete distributions: Uniform, Bernoulli, Binomial,  Lecture 6   hw1_with_answers.pdf
9/19 Useful discrete distributions: Poisson.  Lecture 7

binomial_poisson_template.m

binomial_poisson.m

 
9/21 Poisson distribution: Application to genome assembly Lecture 8   hw2.pdf
9/26 Useful discrete distributions: Geometric and Negative
Binomial Distributions with Examples in Genomics
Lecture 9    
9/28 Continuous Probability Distributions, Example: Unifiorm Lecture 10

uniform_template.m

uniform.m

 
10/5 Poisson Process; Exponential, Erlang, Gamma, Distributions Lecture 11

exponential_gamma_template.m

exponential_gamma.m

 
10/10 Gaussian, Log-normal, Binding energy of protein-protein interactions Lecture 12 central_limit_theorem.m;
PINT_binding_energy.m; 
PINT_binding_energy.mat
hw2_with_answers.pdf
10/12 Joint Probability Distributions, Marginal Probabilities, Conditional Probabilities, Independence, Covariance, Correlations Lecture 13 correlation.m hw3.pdf
10/17 Sample statstics. Histograms, Box-and-whiskers plot. Lecture 14

quartiles_template.m

quartiles.m

hw3_with_answers.pdf
10/19 Sample Mean and Variance Lecture 15    
10/24 Confidence Intervals Lecture 16

confidence_intervals_template.m

confidence_intervals.m

hw4.pdf
10/26 Hypothesis testing Lecture 17

dark_vs_milk_chocolate_analysis_template.m

dark_vs_milk_chocolate_analysis.m

 
10/31 Goodness of fit test Lecture 18 m_and_m_analysis_template.m  
11/2 Linear regression. Correlated gene expression. Lecture 19

expression_table.mat

regression_notes_template.m

hw4_with_answers.pdf
11/7 Lecture solving problems in preparation for midterm Lecture 20    
11/9 Midterm Midterm problems with answers