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Information Theory is a statistical ____ |
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Akaike's Infromation Criteria |
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type of analysis that evaluates hypotheses based on the least amount of information lost |
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conclusions we draw from analysis (models) |
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Akaike Information Criterion |
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guy who developed it Uses info, so LOSS of info is critical component of the analysis should be criteria for multiple ways to infer from analysis |
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which model most support ranking of models probability of model likelihood of model A vs. model B. |
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Kullback-Leibler Information |
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seek model that minimizes information lost between model g and reality. |
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AIC used Kullback-Leibler information as a basis, but there is |
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substantial uncertainty in this estimation |
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Botlzmann's entropy and K-L information and maximum likelihood |
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Link between null hypothesis testing and information theory___ |
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RSS, or the information NOT explained by the treatment (why some stats tests can be used for null hyp. and inf. theory) |
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biologically based estimable parameters principle of parsimony (simplest model best) |
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most of the models will non linear such as _______ |
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be logit based (0,1) or (either/or) |
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1. a priori models 2. calculate AICc 3. Assess differences 4. Assess model likelihoods 5. Asses model probabilities (weights) 6. Calculate evidence ratios 7. Draw inference |
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Use multiple selection criterion |
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model likelihoods, AICc, change in AICc, evidence ratios |
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Standard notation for regression coefficient |
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model representing science hypothesis “i” |
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parameter vector (variances) |
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