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Model selection is a problem of judging which model from some set performs best. Popular methods include $R^2$, AIC and BIC criteria, test sets, and cross-validation. To some extent, feature selection is a subproblem of model selection.

3 votes
1 answer
286 views

Effective sample size: does it depend on the model?

When applying the Bayesian information criterion, one has to use an "effective sample size" in the penalty term. E.g. if observing longitudinal data (e.g. changes in the blood pressure of an individua …
quant_dev's user avatar
  • 684
3 votes
0 answers
90 views

What is the relation between replica method and "reusable holdout" method?

Among many methods used to detect and avoid overfitting, I am particularly interested in those two: replica method reusable holdout My question is: what is their relation in the context of adaptiv …
quant_dev's user avatar
  • 684
5 votes
1 answer
199 views

Sample size when fitting categorical survey data

I have a model which fits data from repeated surveys: at time $t$, a number $n_t$ respondents is asked a question and can give one of $K$ answers ($k=1, ..., K$). This is repeated $T$ times ($t = 1, . …
quant_dev's user avatar
  • 684
3 votes
1 answer
931 views

How do you derive AIC and BIC for discrete-valued observables?

Let's say I have an experiment which yields discrete results between 1 and $N$. I am modelling the results using a number of statistical models and want to use Akaike (corrected) or Bayesian Informati …
quant_dev's user avatar
  • 684