R: Compute table of information criteria and auxiliary info

ICtab {bbmle} | R Documentation

## Compute table of information criteria and auxiliary info

### Description

Computes information criteria for a series of models, optionally giving information about weights, differences between ICs, etc.

### Usage

    ICtab(..., type=c("AIC","BIC","AICc","qAIC","qAICc"),
        weights = FALSE, delta = TRUE, base = FALSE,
    logLik=FALSE, sort = TRUE,
    nobs=NULL, dispersion = 1, mnames, k = 2)
    AICtab(...,mnames)
    BICtab(...,mnames)
    AICctab(...,mnames)
    ## S3 method for class 'ICtab'
    print(x,...,min.weight)

### Arguments

`...` | a list of (logLik or?) mle objects; in the case of `AICtab` etc., could also include other arguments to `ICtab`
`type` | specify information criterion to use
`base` | (logical) include base IC (and log-likelihood) values?
`weights` | (logical) compute IC weights?
`logLik` | (logical) include log-likelihoods in the table?
`delta` | (logical) compute differences among ICs (and log-likelihoods)?
`sort` | (logical) sort ICs in increasing order?
`nobs` | (integer) number of observations: required for `type="BIC"` or `type="AICc"` unless objects have a `nobs` method
`dispersion` | overdispersion estimate, for computing qAIC: required for `type="qAIC"` or `type="qAICc"` unless objects have a `"dispersion"` attribute
`mnames` | names for table rows: defaults to names of objects passed
`k` | penalty term (largely unused: left at default of 2)
`x` | an ICtab object
`min.weight` | minimum weight for exact reporting (smaller values will be reported as "<[min.weight]")

### Value

A data frame containing:

`IC` | information criterion
`df` | degrees of freedom/number of parameters
`dIC` | difference in IC from minimum-IC model
`weights` | exp(-dIC/2)/sum(exp(-dIC/2))

### Note

(1) The print method uses sensible defaults; all ICs are rounded to the nearest 0.1, and IC weights are printed using `format.pval` to print an inequality for values <0.001. (2) The computation of degrees of freedom/number of parameters (e.g., whether variance parameters are included in the total) varies enormously between packages. As long as the df computations for a given set of models is consistent, differences don't matter, but one needs to be careful with log likelihoods and models taken from different packages. If necessary one can change the degrees of freedom manually by saying `attr(obj,"df") <- df.new`, where `df.new` is the desired number of parameters. (3) Defaults have changed to `sort=TRUE`, `base=FALSE`, `delta=TRUE`, to match my conviction that it rarely makes sense to report the overall values of information criteria

### Author(s)

Ben Bolker

### References

Burnham and Anderson 2002

### Examples

      set.seed(101)
      d <- data.frame(x=1:20,y=rpois(20,lambda=2))
      m0 <- glm(y~1,data=d)
      m1 <- update(m0,.~x)
      m2 <- update(m0,.~poly(x,2))
      AICtab(m0,m1,m2,mnames=LETTERS[1:3])
      AICtab(m0,m1,m2,base=TRUE,logLik=TRUE)
      AICtab(m0,m1,m2,logLik=TRUE)
      AICctab(m0,m1,m2,weights=TRUE)
      print(AICctab(m0,m1,m2,weights=TRUE),min.weight=0.1)

[Package bbmle version 1.0.19 Index]