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9 votes
0 answers
93 views

Any Insights on the adoption and use of the Healthy Akaike Information Criterion (hAIC)?

Recently, I came across the Healthy Akaike Information Criterion (hAIC), introduced by Demidenko in his 2004 book "Mixed Models: Theory and Applications with R." Despite its (potential) ...
Robert Long's user avatar
  • 64.1k
3 votes
1 answer
55 views

What's the relationship between "bias-variance tradeoff" and "consistent model selection"?

I'm very confused about the relationship between "bias-variance tradeoff" and "consistent model selection". Based on my current interpretation, the ultimate goal of taking care of ...
ExcitedSnail's user avatar
  • 2,966
0 votes
0 answers
15 views

Comparing and selecting models, constructing objective function (complexity, prior knowledge on the distribution of parameter values)

We have a set of models that were derived using some fitting routine that optimizes parameter values utilizing $\chi^2$ for a given model. model1 has 100 parameters, model2 has 99 parameters, ... ...
twistfire's user avatar
  • 113
1 vote
1 answer
29 views

Interpreting AIC relative likelihoods ( qpcR::akaike.weights() )

I want to ensure that I am correctly interpreting AIC relative likelihood (RL) scores, specifically those returned by qpcR::akaike.weights$rel.LL. For example, I ...
PhelsumaFL's user avatar
4 votes
2 answers
252 views

Generalized additive model: Variable & model selection

I know this type of question has been asked many times before, so I apologize for re-posting about it. I bring it up again because it's been taught in one of my courses of study and I want to make ...
Nate's user avatar
  • 1,653
4 votes
0 answers
27 views

Why do model selection criteria (xICs, etc) not explicitly incorporate a loss function?

Model Selection and Multimodel Inference by Burnham and Anderson notes that TIC, AIC, AICc and QAICc are based on K-L distance between a given model and true model. Also BIC is in a sense based on ...
Mohan's user avatar
  • 939
1 vote
1 answer
69 views

Calculate (quasi) AIC for mixed-effect baseline-category (multinomial logit) model

I am doing a discrete choice experiment where respondents are presented with different patient profiles, and for each profile, respondents need to choose one (out of three) treatment options. An ...
Trang Hien's user avatar
0 votes
0 answers
37 views

BMA formula with BIC

I am interested in using Bayesian modele averaging as a selection creteria (BMA) vs AIC. I read that BMA is widely implemented in clustering models. Suppose that we need to fit M models to a data and ...
Alice's user avatar
  • 650
2 votes
0 answers
85 views

Is AIC scale invariant for problems concerning the number of data points in regression?

I am trying to use Akaike Information Criterion with the small sample correction (AICc) as method for determining how many data points to use in a linear approximation of a non-linear function; the ...
Glen Mackey's user avatar
4 votes
1 answer
273 views

Selecting the model by bootstrapping: AIC vs. log-loss?

I'm building a predictive model with potentially multiple predictors. To that end, I try different, nested models, each with one more predictor than the previous one and compare their AICs. The AIC ...
Igor F.'s user avatar
  • 9,418
1 vote
1 answer
157 views

Is there a function like auto.arima which gives the best VAR model according to a metric like AIC? [closed]

The function auto.arima from the forecast package, automatically fits the best ARIMA model given a time series, by evaluating on a metric like AIC, AICc or BIC. I ...
Lycanthropeus's user avatar
3 votes
1 answer
59 views

Model section when AIC and logLik differ

To analyze my ordinal (Liker scale ratings) I used the clmm function for the ordinal package. Since I have fixed and random ...
acr's user avatar
  • 43
3 votes
1 answer
740 views

Why is BIC considered consistent (though AIC is mostly used) for large number of observation?

AIC, BIC are the famous criteria for model selection. But many times they show different results. I read in several places that BIC is consistent while AIC is not. And AIC can achieve minimax rate but ...
user avatar
1 vote
2 answers
81 views

What AIC is necessary to select this model?

I have read this page but am a little confused and I think a real example might help solidify the idea in my mind regarding how to use the AIC in model selection. Equivalence of AIC and p-values in ...
LucaS's user avatar
  • 771
0 votes
0 answers
171 views

AIC and SC tend to select the maximum lag for VECM

I am building a VAR modell in order to discover how oil price shocks and 3 macroeconomic control variables (gdp_growth, Interest rate, exchange rate) influence core and headline inflation in the USA. ...
Fritz Müller's user avatar

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