Linked Questions

7 votes
2 answers
18k views

When do you use AIC vs. BIC [duplicate]

How do you know when to use AIC or BIC for determining model fit? Is it just a judgment call? Is there an intuitive explanation as to which heuristic is better than the other?
phil12's user avatar
  • 1,381
7 votes
1 answer
3k views

Use BIC or AIC as approximation for Bayesian Model Averaging [duplicate]

I want to compare "real" Bayesian Model Averaging (BMA) performed with the EM algorithm and information-criterion based BMA. Which one, BIC or AIC, is a "closer" approximation to the "real" BMA? BIC ...
user3165675's user avatar
1 vote
0 answers
802 views

Interpretation of AIC, BIC and KIC [duplicate]

Possible Duplicate: Is there any reason to prefer the AIC or BIC over the other? Can anyone please interpret each term in AIC, BIC and KIC. And the difference between the three. Thanks in ...
user6339's user avatar
0 votes
0 answers
30 views

Optimal number of components in a beta mixture model [duplicate]

This is a well-written blog on how we can fit a mixture of beta distributions to a dataset: http://varianceexplained.org/r/mixture-models-baseball/ However, it would have been excellent to identify ...
Kasthuri's user avatar
  • 173
117 votes
12 answers
70k views

When should linear regression be called "machine learning"?

In a recent colloquium, the speaker's abstract claimed they were using machine learning. During the talk, the only thing related to machine learning was that they perform linear regression on their ...
jvriesem's user avatar
  • 1,527
51 votes
5 answers
227k views

AIC guidelines in model selection

I typically use BIC as my understanding is that it values parsimony more strongly than does AIC. However, I have decided to use a more comprehensive approach now and would like to use AIC as well. I ...
Tom Carpenter's user avatar
11 votes
5 answers
7k views

Is a variable significant in a linear regression model?

I've got a linear regression model with the sample and variable observations and I want to know: Whether a specific variable is significant enough to remain included in the model. Whether another ...
Wilhelm's user avatar
  • 780
23 votes
2 answers
10k views

Why is best subset selection not favored in comparison to lasso?

I'm reading about best subset selection in the Elements of statistical learning book. If I have 3 predictors $x_1,x_2,x_3$, I create $2^3=8$ subsets: Subset with no predictors subset with predictor $...
Ville's user avatar
  • 857
25 votes
4 answers
864 views

Addressing model uncertainty

I was wondering how the Bayesians in the CrossValidated community view the problem of model uncertainty and how they prefer to deal with it? I will try to pose my question in two parts: How important ...
Nick's user avatar
  • 3,617
26 votes
2 answers
11k views

Best approach for model selection Bayesian or cross-validation?

When trying to select among various models or the number of features to include for, say prediction I can think of two approaches. Split the data into training and test sets. Better still, use ...
highBandWidth's user avatar
33 votes
1 answer
22k views

Proof of LOOCV formula

From An Introduction to Statistical Learning by James et al., the leave-one-out cross-validation (LOOCV) estimate is defined by $$\text{CV}_{(n)} = \dfrac{1}{n}\sum\limits_{i=1}^{n}\text{MSE}_i$$ ...
Clarinetist's user avatar
  • 5,147
35 votes
4 answers
8k views

AIC versus cross validation in time series: the small sample case

I am interested in model selection in a time series setting. For concreteness, suppose I want to select an ARMA model from a pool of ARMA models with different lag orders. The ultimate intent is ...
Richard Hardy's user avatar
13 votes
4 answers
66k views

Interpretation of AIC value

Typical values of AIC that I have seen for logistic models are in thousands, at least hundreds. e.g. On http://www.r-bloggers.com/how-to-perform-a-logistic-regression-in-r/ the AIC is 727.39 While ...
Tapan Khopkar's user avatar
14 votes
4 answers
15k views

Are models identified by auto.arima() parsimonious?

I have been trying to learn and apply ARIMA models. I have been reading an excellent text on ARIMA by Pankratz - Forecasting with Univariate Box - Jenkins Models: Concepts and Cases. In the text the ...
forecaster's user avatar
  • 8,655
11 votes
3 answers
13k views

What is AIC? Looking for a formal but intuitive answer

I've heard that AIC can be used to choose among several models (which regressor to use). But i would like to understand formally what it is in a kind of "advanced undergraduated" level, which I ...
user498's user avatar
  • 119

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