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Workshop

Organizers

Humberto Dutra
Nicholas A. Barber
Brianne Addison
Felipe Zapata

Course Syllabus

Pre Workshop
Friday (9/26) 
from 1 pm to 2 pm
Registration

from  2pm to 5 pm - Pre workshop
This part of the of workshop will briefly cover basic concepts such as null hypothesis testing, principles of bayesian theory, and maximum likelihood estimation,
likelihood function, log-likelihood function, deviance, profile likelihood intervals.


Saturday and Sunday (9-27-28) -
Workshop
 from 8 am -12pm  and from 1 pm to 5pm
Dr. David Anderson will be covering the following topics during Friday and Sunday sections.

Science Strategies Based on Kullback-Leibler Information

Introduction
   Philosophy of Science
   Importance of Models in Science
   The Concept of Information
   Overview of the Information-Theoretic Methods
  
Kullback-Leibler Information
   Information Loss
   Measuring Information and the Loss
   Scientific Evidence

Chamberlin’s Science Strategy
   Multiple Working Hypotheses
   Mapping of Hypotheses and Models

Two Science Examples
   Transmission of TB in Feral Ferrets
   Bill Lengths in Darwin’s Finches

Fundamental Starting Points
   The Value of the Maximized Log-likelihood Function
   The Residual Sum of Squares in ‘Regression’

Information Theory Meets Statistical Theory
   A Glimpse into the Derivation of AIC
   Expected Kullback-Leibler Information
   A Small Sample (non-asymptotic) AIC
   Deltas – Putting Evidence on the Scale of Information

Examples of Application
   Flather’s Landscape Data
   Cement Data

Extending the Theory
   Likelihood of a Model, Given the Data
   Model Probabilities (Akaike Weights)
   Evidence Ratios
   DURSBAN in a Simulated Ecosystem

The Principle of Parsimony
   Model Bias
   Model Uncertainty
   The Trade-off

Review of Null Hypothesis Testing
   Problems Going Back for Nearly a Century
   Comparison with Information-Theoretic Approaches

Multimodel Inference
   Forms of Model Averaging
   Unconditional Variances
   Relative Importance of Variables
  
Second Order Issues
   Cross validation
   Overdispersion and QAICc
   A Likelihood Equivalent of R-sq
   Model Based Inference from Strict Experiments
   An AIC for Multivariate Data
 
Summary of Material
 


The theory and application presented will be taken largely from the book,

     Burnham, K. P., and D. R. Anderson.  2002.  Model selection and multimodel
         Inference: a practical information-theoretic approach. 2nd Ed. Springer-
         Verlag, New York, NY.  488pp.




David R. Anderson
February 9, 2006