# Extended Rasch Modeling

## Documentation for package ‘eRm’ version 1.0-0

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Package NEWS.

## Help Pages

A B C E G I L M N P R S T V W X

## -- A --

anova.eRm | Analysis of Deviances for Rasch Models
anova.llra | Analysis of Deviance for Linear Logistic Models with Relaxed Assumptions

## -- B --

build_catdes | Automatized Construction of LLRA Design Matrix
build_effdes | Automatized Construction of LLRA Design Matrix
build_trdes | Automatized Construction of LLRA Design Matrix
build_W | Automatized Construction of LLRA Design Matrix

## -- C --

coef.eRm | Methods for extended Rasch models
coef.ppar | Estimation of Person Parameters
collapse_W | Convenient Collapsing of LLRA Design Matrix
confint.eRm | Methods for extended Rasch models
confint.ppar | Estimation of Person Parameters
confint.threshold | Computation of item-category treshold parameters.

## -- E --

eRm.data | Data for Computing Extended Rasch Models

## -- G --

get_item_cats | Automatized Construction of LLRA Design Matrix
gofIRT | Various model tests and fit indices
gofIRT.ppar | Various model tests and fit indices

## -- I --

IC | Information criteria
IC.ppar | Information criteria
itemfit | Residuals, Personfit and Itemfit Statistics
itemfit.ppar | Residuals, Personfit and Itemfit Statistics
item_info | Calculate Item Information for 'eRm' objects
i_info | Calculate Item Information for 'eRm' objects

## -- L --

LLRA | Fit Linear Logistic Models with Relaxed Assumptions (LLRA)
llra.datprep | Prepare Data Set for LLRA Analysis
llraDat1 | An Artificial LLRA Data Set
llraDat2 | An Artificial LLRA Data Set
llradat3 | An Artificial LLRA Data Set
LLTM | Estimation of linear logistic test models
lltmdat1 | Data for Computing Extended Rasch Models
lltmdat2 | Data for Computing Extended Rasch Models
logLik.eRm | Methods for extended Rasch models
logLik.ppar | Estimation of Person Parameters
LPCM | Estimation of linear partial credit models
lpcmdat | Data for Computing Extended Rasch Models
LRSM | Estimation of linear rating scale models
lrsmdat | Data for Computing Extended Rasch Models
LRtest | Computation of Andersen's LR-test.
LRtest.Rm | Computation of Andersen's LR-test.

## -- M --

MLoef | Martin-Löf's Likelihood-Ratio-Test
model.matrix.eRm | Methods for extended Rasch models

## -- N --

NonparametricTests | A Function to Perform Nonparametric Rasch Model Tests
NPtest | A Function to Perform Nonparametric Rasch Model Tests

## -- P --

PCM | Estimation of partial credit models
pcmdat | Data for Computing Extended Rasch Models
pcmdat2 | Data for Computing Extended Rasch Models
person.parameter | Estimation of Person Parameters
person.parameter.eRm | Estimation of Person Parameters
personfit | Residuals, Personfit and Itemfit Statistics
personfit.ppar | Residuals, Personfit and Itemfit Statistics
PersonMisfit | Person Misfit
PersonMisfit.ppar | Person Misfit
phi.range | Example User Function
plot.ppar | Estimation of Person Parameters
plotDIF | Confidence intervals plot of item parameter estimates.
plotGOF | Computation of Andersen's LR-test.
plotGOF.LR | Computation of Andersen's LR-test.
plotGR | Plot Treatment or Covariate Effects for LLRA
plotICC | ICC Plots
plotICC.Rm | ICC Plots
plotINFO | Plot Information For "eRm" objects
plotjointICC | ICC Plots
plotjointICC.dRm | ICC Plots
plotPImap | Person-Item Map
plotPWmap | Pathway Map
plotTR | Plot Trend Effects for LLRA
pmat | Residuals, Personfit and Itemfit Statistics
pmat.ppar | Residuals, Personfit and Itemfit Statistics
predict.ppar | Predict methods
print.eRm | Methods for extended Rasch models
print.eRm_anova | Analysis of Deviances for Rasch Models
print.eRm_SepRel | Person Separation Reliability
print.gof | Various model tests and fit indices
print.ifit | Residuals, Personfit and Itemfit Statistics
print.llra | Fit Linear Logistic Models with Relaxed Assumptions (LLRA)
print.logLik.ppar | Estimation of Person Parameters
print.LR | Computation of Andersen's LR-test.
print.MLoef | Martin-Löf's Likelihood-Ratio-Test
print.pfit | Residuals, Personfit and Itemfit Statistics
print.ppar | Estimation of Person Parameters
print.resid | Residuals, Personfit and Itemfit Statistics
print.step | Stepwise item elimination
print.summary.llra | Summarizing Linear Logistic Models with Relaxed Assumptions (LLRA)
print.threshold | Computation of item-category treshold parameters.
print.wald | Item-Specific Wald Test

## -- R --

raschdat1 | Data for Computing Extended Rasch Models
raschdat1_RM_fitted | Data for Computing Extended Rasch Models
raschdat1_RM_lrres2 | Data for Computing Extended Rasch Models
raschdat1_RM_plotDIF | Data for Computing Extended Rasch Models
raschdat2 | Data for Computing Extended Rasch Models
raschdat3 | Data for Computing Extended Rasch Models
raschdat4 | Data for Computing Extended Rasch Models
RaschSampler | Rasch Sampler Package
residuals.ppar | Residuals, Personfit and Itemfit Statistics
RM | Estimation of Rasch Models
rsampler | Sampling Binary Matrices
RSctr | Control Object
rsctrl | Controls for the Sampling Function
rsextrmat | Extracting a Matrix
rsextrobj | Extracting Encoded Sample Matrices
RSM | Estimation of rating scale models
rsmdat | Data for Computing Extended Rasch Models
RSmpl | Sample Objects
RSmplext | Sample Objects
rstats | Calculating Statistics for the Sampled Matrices

## -- S --

SepRel | Person Separation Reliability
sim.2pl | Simulation of 2-PL Data
sim.locdep | Simulation locally dependent items
sim.rasch | Simulation of Rasch homogeneous data
sim.xdim | Simulation of multidimensional binary data
stepwiseIt | Stepwise item elimination
stepwiseIt.eRm | Stepwise item elimination
summary.eRm | Methods for extended Rasch models
summary.eRm_SepRel | Person Separation Reliability
summary.gof | Various model tests and fit indices
summary.llra | Summarizing Linear Logistic Models with Relaxed Assumptions (LLRA)
summary.LR | Computation of Andersen's LR-test.
summary.MLoef | Martin-Löf's Likelihood-Ratio-Test
summary.ppar | Estimation of Person Parameters
summary.RSctr | Summary Method for Control Objects
summary.RSmpl | Summary Methods for Sample Objects
summary.RSmplext | Summary Methods for Sample Objects
summary.threshold | Computation of item-category treshold parameters.

## -- T --

test_info | Calculate Test Information For 'eRm' objects
thresholds | Computation of item-category treshold parameters.
thresholds.eRm | Computation of item-category treshold parameters.

## -- V --

vcov.eRm | Methods for extended Rasch models

## -- W --

Waldtest | Item-Specific Wald Test
Waldtest.Rm | Item-Specific Wald Test

## -- X --

xmpl | Example Data
xmplbig | Example Data