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What is AIC and BIC used for?

Posted on July 13, 2021 by Author

Table of Contents

  • 1 What is AIC and BIC used for?
  • 2 What are widely used in model selection criteria?
  • 3 What is model selection What are some ways to select a model?
  • 4 What is AIC and BIC in time series?
  • 5 Can the strengths of AIC and BIC be shared?
  • 6 How do I choose an AIC model?

What is AIC and BIC used for?

AIC and BIC are Information criteria methods used to assess model fit while penalizing the number of estimated parameters.

What are widely used in model selection criteria?

The most commonly used criteria are (i) the Akaike information criterion and (ii) the Bayes factor and/or the Bayesian information criterion (which to some extent approximates the Bayes factor), see Stoica & Selen (2004) for a review.

Can AIC be used for logistic regression?

The Akaike Information Criterion, or AIC for short, is a method for scoring and selecting a model. The AIC statistic is defined for logistic regression as follows (taken from “The Elements of Statistical Learning“): AIC = -2/N * LL + 2 * k/N.

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What is model selection What are some ways to select a model?

Model selection is the process of choosing one among many candidate models for a predictive modeling problem….Three common resampling model selection methods include:

  1. Random train/test splits.
  2. Cross-Validation (k-fold, LOOCV, etc.).
  3. Bootstrap.

What is AIC and BIC in time series?

AIC and BIC are widely used in model selection criteria. AIC means Akaike’s Information Criteria and BIC means Bayesian Information Criteria. Though these two terms address model selection, they are not the same. The AIC can be termed as a mesaure of the goodness of fit of any estimated statistical model.

Should I use AIC or BIC?

AIC is best for prediction as it is asymptotically equivalent to cross-validation. BIC is best for explanation as it is allows consistent estimation of the underlying data generating process.

Can the strengths of AIC and BIC be shared?

Thus the strengths of AIC and BIC cannot be combined in a rigorous sense. The theorem also implies that consistency in selection and minimax-rate optimality in estimating f are somewhat conflicting performance measures on model selection.

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How do I choose an AIC model?

To compare models using AIC, you need to calculate the AIC of each model. If a model is more than 2 AIC units lower than another, then it is considered significantly better than that model. You can easily calculate AIC by hand if you have the log-likelihood of your model, but calculating log-likelihood is complicated!

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