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Item Fit

Conditional item fit statistics with simulation-based cutoffs

RMitemInfit()
Conditional Item Infit MSQ
RMitemInfitCutoff()
Simulation-Based Infit MSQ Cutoff Determination
RMitemInfitPlot() RMitemInfitCutoffPlot()
Plot Distribution of Simulated Infit and Outfit MSQ Values
RMitemInfitMI()
Conditional Item Infit MSQ for Multiply Imputed Data
RMitemInfitCutoffMI()
Simulation-Based Infit MSQ Cutoff Determination for Multiply Imputed Data
RMitemICCPlot()
Conditional Item Characteristic Curves
RMitemCatProb()
Item Category Probability Curves

Item Restscore

Item-restscore correlation analysis

RMitemRestscore()
Item Restscore Analysis
RMitemRestscoreBoot()
Bootstrap Item-Restscore Misfit Detection

Local Dependence (LD)

Q3 residual correlations & partial gammal LD with simulation-based cutoffs

RMlocdepQ3()
\(Q_3\) Residual Correlations for Local Dependence Assessment
RMlocdepQ3Cutoff()
Simulation-Based \(Q_3\) Cutoff Determination
RMlocdepQ3Plot()
Plot Distribution of Simulated \(Q_3\) Residual Correlations
RMlocdepGamma()
Partial Gamma Local Dependence Analysis
RMlocdepGammaCutoff()
Simulation-Based Partial Gamma LD Cutoff Determination
RMlocdepGammaPlot()
Plot Distribution of Simulated Partial Gamma LD Values

Differential Item Functioning (DIF)

DIF assessment functions

RMdifLR()
DIF analysis via Andersen's likelihood-ratio test
RMdifTree()
Tree-based DIF analysis with effect-size classification
RMdifGamma()
Partial Gamma DIF Analysis
RMdifGammaCutoff()
Simulation-Based Partial Gamma DIF Cutoff Determination
RMdifGammaPlot()
Plot Distribution of Simulated Partial Gamma DIF Values

Global tests of model fit

PCA of residuals, and more to come

RMdimCFACutoff()
Simulated null distribution for one-factor CFA fit and loadings under PCM unidimensionality
RMdimCFA()
Observed one-factor CFA fit and loadings vs a simulated reference
RMdimCFAPlot()
Plot observed CFA fit and loadings against the simulated null
RMdimResidualPCA()
PCA of Standardized Rasch Residuals
RMdimResidualPCACutoff()
Simulation-based Cutoff for First-Contrast Eigenvalue
RMdimMartinLof()
Martin-Löf Test of Unidimensionality
RMdimMartinLofResiduals()
Standardised Residuals from the Joint Subscore Distribution

Item & person parameters

Item difficulty/threshold and person-location estimation

RMitemParameters()
Item Parameters for a Rasch / Partial Credit Model
RMpersonParameters()
Person Locations for a Rasch / Partial Credit Model

Person fit

Per-respondent fit statistics with resampling-based p-values

RMpersonFit()
Person-Fit Statistics for a Rasch / Partial Credit Model

Descriptive functions

Targeting and other plots/tables

RMplotTile()
Tile Plot of Item Response Distributions
RMplotStackedbar()
Stacked Bar Chart of Item Response Distributions
RMplotBar()
Item Response Distribution Bar Chart
RMtargeting()
Person-Item Targeting Plot (Wright Map)
RMitemHierarchy()
Item-Threshold Hierarchy Plot
RMscoreSE()
Raw-Score to Logit Score Transformation Table
RMreliability()
Reliability metrics for a Rasch model
RMUreliability()
Relative Measurement Uncertainty (RMU)

Datasets

Package builtin data

phq9
PHQ-9 Depression Screener (NHANES Subsample)