anova.tam: Likelihood Ratio Test for Model Comparisons and...

In TAM: Test Analysis Modules

Likelihood Ratio Test for Model Comparisons and Log-Likelihood Value

Description

The anova function compares two models estimated of class tam, tam.mml or tam.mml.3pl using a likelihood ratio test. The logLik function extracts the value of the log-Likelihood.

The function can be applied for values of tam.mml, tam.mml.2pl, tam.mml.mfr, tam.fa, tam.mml.3pl, tam.latreg or tamaan.

Usage

## S3 method for class 'tam'
anova(object, ...)
## S3 method for class 'tam'
logLik(object, ...)

## S3 method for class 'tam.mml'
anova(object, ...)
## S3 method for class 'tam.mml'
logLik(object, ...)

## S3 method for class 'tam.mml.3pl'
anova(object, ...)
## S3 method for class 'tam.mml.3pl'
logLik(object, ...)

## S3 method for class 'tamaan'
anova(object, ...)
## S3 method for class 'tamaan'
logLik(object, ...)

## S3 method for class 'tam.latreg'
anova(object, ...)
## S3 method for class 'tam.latreg'
logLik(object, ...)

## S3 method for class 'tam.np'
anova(object, ...)
## S3 method for class 'tam.np'
logLik(object, ...)

Arguments

object	Object of class tam, tam.mml, tam.mml.3pl, tam.latreg, tam.np, or tamaan. Note that for anova two objects (fitted models) must be provided.
...	Further arguments to be passed

Value

A data frame containing the likelihood ratio test statistic and information criteria.

Examples

#############################################################################
# EXAMPLE 1: Dichotomous data sim.rasch - 1PL vs. 2PL model
#############################################################################

data(data.sim.rasch)
# 1PL estimation
mod1 <- TAM::tam.mml(resp=data.sim.rasch)
logLik(mod1)
# 2PL estimation
mod2 <- TAM::tam.mml.2pl(resp=data.sim.rasch, irtmodel="2PL")
logLik(mod2)
# Model comparison
anova( mod1, mod2 )
  ##     Model   loglike Deviance Npars      AIC      BIC    Chisq df       p
  ##   1  mod1 -42077.88 84155.77    41 84278.77 84467.40 54.05078 39 0.05508
  ##   2  mod2 -42050.86 84101.72    80 84341.72 84709.79       NA NA      NA

## Not run: 
#############################################################################
# EXAMPLE 2: Dataset reading (sirt package): 1- vs. 2-dimensional model
#############################################################################

data(data.read, package="sirt")

# 1-dimensional model
mod1 <- TAM::tam.mml.2pl(resp=data.read )
# 2-dimensional model
mod2 <- TAM::tam.fa(resp=data.read, irtmodel="efa", nfactors=2,
             control=list(maxiter=150) )
# Model comparison
anova( mod1, mod2 )
  ##       Model   loglike Deviance Npars      AIC      BIC    Chisq df  p
  ##   1    mod1 -1954.888 3909.777    24 3957.777 4048.809 76.66491 11  0
  ##   2    mod2 -1916.556 3833.112    35 3903.112 4035.867       NA NA NA

## End(Not run)

TAM documentation built on May 29, 2024, 2:20 a.m.