# Models and Diagnostics for Rasch Measurement Theory

## Documentation for package ‘rasch’ version 1.12.0

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

## Help Pages

B C D E F G I J L P R S T W

## -- B --

btl | Fit comparative judgement models to paired comparisons
btl_dif | DIF analysis for paired comparisons
btl_dimensionality | Experimental residual dimensionality of paired comparisons
btl_efrm | Fit the extended frame of reference model for paired comparisons
btl_equate | Equate two paired-comparison calibrations through their common objects
btl_explanatory | Fit an explanatory comparative judgement model
btl_information | Information and targeting of a paired-comparison design
btl_next_pairs | Recommend the next informative comparisons (adaptive step)
btl_transitivity | Transitivity of paired comparisons

## -- C --

chisq_detail | Class-interval detail for one item's chi-square test of fit
combine_items | Combine items into subtests and re-analyse
compare_fits | Compare fitted Rasch models
ctt_table | Traditional (classical test theory) statistics

## -- D --

dependence_magnitude | Estimate the magnitude of response dependence between two items
dif_anova | Differential item functioning by residual analysis of variance
dif_contrasts | Planned DIF contrasts
dif_posthoc | Pairwise follow-up comparisons for a DIF term
dif_size | DIF differences between factor levels
dimensionality_magnitude | Magnitude of multidimensionality from a subtest analysis
dimensionality_test | Residual-component test of unidimensionality
distractor_analysis | Distractor analysis for multiple-choice items
distractor_rescore | Propose polytomous option scores from the distractor evidence
drop_items | Drop items and refit

## -- E --

equate_tests | Equate two test calibrations through their common items
explanatory_diagnostics | Diagnose fixed departures from an explanatory model
explanatory_test | Compare an explanatory model with its free calibration

## -- F --

fit_summary_table | Test-of-fit summary as a table
frame_invariance | Test item invariance across frames

## -- G --

guttman_table | Guttman-ordered response matrix and reproducibility

## -- I --

item_moments | Category-score moments for a polytomous item

## -- J --

judge_pair_surprise | Unexpected judgements of one judge, pair by pair
judge_surprise | Unexpected judgements of one judge

## -- L --

lr_test | Compare the partial credit and rating scale models

## -- P --

pcml | Estimate Rasch thresholds by pairwise conditional maximum likelihood
pcml_pc | Estimate Rasch thresholds using a principal-component parameterisation
person_extrapolated | Person measures with extrapolated extreme scores
person_wle | Warm's weighted likelihood estimates by raw score
plot_btl | Plot Bradley-Terry-Luce object locations
plot_btl_categories | Plot polytomous-comparison category curves
plot_btl_dependence | Plot a within-judge dependence effect
plot_btl_dim_map | Residual map of the leading paired-comparison bimension
plot_btl_equate | Plot a paired-comparison equating comparison
plot_btl_icc | Plot an object characteristic curve
plot_btl_judge_map | Unexpected-judgement map for one judge (pair level)
plot_btl_scree | Scree of paired-comparison residual bimensions
plot_btl_targeting | Targeting plot for a paired-comparison design
plot_btl_transitivity | Consistency plot for paired-comparison transitivity
plot_btl_units | Plot the frame units of a paired-comparison EFRM fit
plot_catfreq | Plot category frequencies
plot_ccc | Plot category probability curves
plot_distractors | Plot multiple-choice option curves
plot_equate | Plot a test-equating comparison
plot_facets | Plot facet severities
plot_frames | Plot frame units
plot_guttman | Plot the Guttman scalogram
plot_icc | Plot an item characteristic curve
plot_icc_frames | Plot an item's characteristic curves across frames
plot_item_map | Plot the item map (location against fit residual)
plot_kidmap | Plot a kidmap
plot_pca | Plot residual principal-component loadings
plot_pca_biplot | Biplot of the first two residual components
plot_pcc | Plot a person characteristic curve
plot_person_fit | Plot person fit
plot_pimap | Plot the person-item threshold distribution
plot_recovery | Plot fitted against generating parameters
plot_resid_cor | Plot the residual-correlation heatmap
plot_resid_dist | Plot the fit residual distribution
plot_scree | Scree plot of the residual components with parallel analysis
plot_tcc | Plot the test characteristic curve
plot_threshold_map | Plot the threshold map
plot_threshold_prob | Plot threshold probability curves
plot_tif | Plot the test information function
plot_wright | Plot a Wright map

## -- R --

rack_data | Reshape repeated measurements for racked or stacked analysis
rasch | Fit a Rasch model
rasch_efrm | Fit the extended frame of reference model
rasch_explanatory | Fit an explanatory Rasch model
rasch_mfrm | Fit a many-facet Rasch model
relax_btl_explanatory | Add a fixed object departure to an explanatory comparative judgement model
relax_explanatory | Relax a nominated explanatory restriction
report_document | Write an editable or print-ready analysis report
report_html | Write a self-contained HTML report of a Rasch analysis
residual_correlations | Residual correlations for local dependence (Yen's Q3)
residual_pca | Principal components of the residual correlations
resolve_dif | Resolve differential item functioning by iterative item splitting
resolve_frames | Resolve items that do not hold across frames
run_app | Launch the rasch point-and-click graphical interface

## -- S --

save_item_plots | Save a plot for every item
save_outputs | Save the outputs of a Rasch analysis
save_person_plots | Save a kidmap for every person
score_table | Raw score to measure conversion table
simulate_btl | Simulate paired-comparison data
simulate_btl_efrm | Simulate paired-comparison EFRM data with differing frame units
simulate_efrm | Simulate extended frame-of-reference data with differing units
simulate_mfrm | Simulate many-facet Rasch data
simulate_rasch | Simulate person-by-item Rasch data
sim_apply | Apply a statistic across a simulation batch
sim_recovery | Compare fitted and generating parameters
sim_replicate | Replicate a simulation for Monte Carlo studies
split_items | Split items by a person factor to resolve DIF
spread_test | Spread-parameter test for dependence within subtests
stack_data | Reshape repeated measurements for racked or stacked analysis

## -- T --

tailored_analysis | Tailored analysis for guessing
targeting_table | Targeting and reliability summary as a table
test_information | Test information function
threshold_index | Enumerate item-category thresholds

## -- W --

wright_map | Draw a Wright map with WrightMap