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wright_map() sends fitted person and item estimates
to WrightMap. It supports several person distributions and
the item-panel layout introduced in WrightMap 1.5, including the
person-group and item-set structure of EFRM fits.
rasch_explanatory() fits the linear logistic test
model and linear partial credit model from continuous, categorical or
ordinal item- or threshold-level predictors. Formulae may include
selected interactions. explanatory_test() compares the
restrictions with a free calibration using the Kent adjustment;
explanatory_diagnostics() and
relax_explanatory() support fixed item and threshold
departures. Refitted departures propagate to item and person estimates
and are retained through item deletion, DIF splitting, superitem
construction and response-dependence resolution. Keyed option responses
remain available after item deletion, splitting and fixed-departure
refits.
btl_explanatory() applies a fixed explanatory design
to object locations in dichotomous or ordered comparative judgements. It
supports the same model comparison, Holm-adjusted diagnostics and fixed
departures while retaining the nominated ordered-response threshold
structure.
A worked case study on the documentation site uses the verbal aggression data to develop and check an explanatory partial credit model.
explanatory_test() now places the Kent-calibrated
probability in both p and p_kent. The unscaled
composite-likelihood probability is named p_naive so it
cannot be mistaken for the inferential result. The table also reports
calibration R-squared, with an adjusted counterpart whose null
expectation is near zero, against the free threshold or object
calibration.
Pairwise conditional calibrations now use the remaining Newton move as a second convergence check. This prevents numerical false refusals at large sample sizes without changing the estimates.
Holm adjustment for item-fit statistics now excludes items whose
tests are unavailable. Their probabilities remain
NA.
Sparse-unit safeguards now use the sampling units that inform each test. MFRM interaction tests use the least-supported facet level; EFRM unit tests require adequate persons on every group or set link; BTL-EFRM judge bootstraps require adequate effective judges in every panel or link; and frame-invariance tests exclude weak frame calibrations.
BTL-EFRM judge bootstraps now distinguish refit errors from non-convergence and report the underlying worker error when parallel refits fail.
rasch_mfrm() supports several facets and an optional
item-by-facet interaction. Omnibus and cell follow-up tests use the
fitted joint covariance.
rasch_efrm() supports crossed person-group factors
and reports their GLS factorial decomposition. Set-unit linking uses a
finite-grid semiparametric likelihood, with a separate nuisance
distribution for each observed person group. Hybrid standard errors
retain the joint uncertainty of the within-frame calibration and set
link; full person-bootstrap inference remains available. The convergence
flag covers both estimation stages, and non-converged links are excluded
from bootstrap covariance calculations. EFRM data require one response
row per person.
The repeated semiparametric linking calculations in the EFRM bootstrap now use a compiled numerical kernel. Bootstrap replicates can also be distributed over a reproducible, cross-platform worker cluster. The Shiny application runs EFRM fits in a background process, defaults to four workers where the system permits, records the bootstrap seed, reports progress and permits the fit to be cancelled without retaining a partial result.
BTL-EFRM judge bootstraps likewise default to four workers where available. A fixed seed gives the same result for any worker count. The application runs these fits in the background and supports progress reporting and cancellation.
frame_invariance() compares item locations and
discrimination across separately calibrated frames. The conditional
method tests locations and reports discrimination descriptively. The
person-within-frame bootstrap provides inference for both, with one
combined Holm family.
MFRM and EFRM summaries report item estimates separately from the item-by-facet or item-by-frame response cells used in estimation. Coefficient alpha is not reported for the expanded response-cell matrix. EFRM DIF tests pool residual evidence by item and exclude the person factors that define the frames.
btl(), btl_dif() and
btl_efrm() add ordered paired comparisons, judge-clustered
inference, judge-factor DIF, linked object sets and judge panels.
Paired-comparison diagnostics now include equating, transitivity,
residual dimensions, design information and adaptive pair
selection.
Carry-over probabilities are withheld below 30 judges.
btl_equate() uses Welch–Satterthwaite degrees of freedom
when fitted calibrations have a finite number of judge clusters.
Conditional BTL-EFRM unit probabilities are withheld; the application
defaults to the judge bootstrap. BTL-EFRM judge bootstraps use
finite-judge references, whereas its independent-outcome parametric
bootstrap uses normal and chi-square references.
Confirmatory multiplicity defaults are now consistently Holm familywise adjustments across item fit, DIF, equating and the application. BH remains available where false-discovery-rate screening is explicitly requested. BTL DIF uses HC3 covariance for unequal judge workloads and withholds omnibus probabilities below eight judges or eight effective judges in a factor cell.
Item-fit documentation now distinguishes the principal item-trait test from the supplementary class-interval ANOVA and notes the limits of both in short administrations. HC3 was evaluated for item fit and was not adopted.
dif_anova() fits several person factors jointly
using Type II sums of squares. Repeated measurements use the person as
the sampling unit and separate between- and within-person error strata.
Multiplicity adjustment covers the complete family of uniform and
non-uniform DIF tests rather than treating each term as a separate
family; btl_dif() follows the same rule. Uniform
between-person terms now use HC3 covariance. Class-interval interactions
retain the residual-ANOVA reference used for non-uniform DIF.
dif_contrasts() and dif_posthoc()
provide planned and post-hoc logit contrasts, including simple effects
and difference-in-differences for interactions. MFRM follow-ups pool the
fitted facet cells of an underlying item; resolved EFRM follow-ups are
withheld because an ordinary split would discard the frame units. The
residual-mean Tukey table has been removed from
dif_anova(); dif_posthoc() is the supported
follow-up for multilevel terms.
Repeated-measures DIF follow-ups use the full design-cell weights in their person-level tests. Reported resolved estimates and probabilities therefore address the same marginal contrast when nuisance factors are imbalanced.
dif_size() reports resolved pairwise logit
differences. Dichotomous items receive the itemwise ETS A/B/C
classification. Polytomous items report the PCM signed expected-score
area descriptively, without importing an incompatible score-metric
classification.
resolve_dif() splits confirmed DIF items iteratively
while retaining a minimum anchor set. Automatic splitting is restricted
to uniform DIF; non-uniform DIF remains visible for item review. MFRM
residuals can be pooled to their source items, and EFRM factors that do
not define frames can be tested.
btl_dif() retains anchors and fitted dependence
terms in its resolution refit. Resolved pairwise inference is withheld
unless each factor cell has at least eight effective judges; pairwise
degrees of freedom use the two cells’ effective counts, and the pairwise
table reports the raw and effective support for both cells. BTL-EFRM
fits require a frame-specific analysis rather than the equal-unit
resolution model.
dependence_magnitude() uses the joint covariance of
resolved thresholds. Equating tests require independent calibrations and
the covariance of banked locations.spread_test() applies the binomial least-upper-bound
only to superitems formed entirely from dichotomous components. It now
distinguishes a point estimate below the bound from adjusted one-sided
evidence of dependence. Its significance level and multiplicity
adjustment are available in the application. The component structure is
retained through subsequent item splits and removals.drop_items(), resolve_frames(), DIF
splitting and superitem construction refit the active model and update
downstream item and person estimates. Refit specifications retain
anchors, keyed scoring, threshold constraints, factors and frame-linking
controls; a non-converged downstream calibration is not returned as a
completed analysis..rasch projects and reopened.
Reports can be produced as self-contained HTML, Word or PDF documents;
the R code for each displayed result is available in the
application.plot_scree() and plot_btl_scree() label
their component axes at whole components only, instead of overprinting
the default axis.print() preserves the reference distribution used by
saved BTL fits: current and transitional results are labelled
t, while older results without cluster degrees of freedom
retain their original z label.t, in
accordance with their t reference distribution.t.G - 1 degrees of freedom.simulate_rasch() validates secondary-trait correlations
and item sets.item_moments() uses a log-sum-exp calculation for wide
category ranges.btl_efrm() requires each judge to belong to one
panel.NA.NA.btl_efrm(se_method = "judge_bootstrap") resamples
judges within panels and refits both stages.btl_next_pairs() as a ranking
rule is stated in its documentation.NA, and the
total test includes testable items only.btl_dif() uses the judge as the sampling unit and
count-weighted opponent bands.rasch() and btl() warn when estimation has
not converged.rasch() reports unknown id,
factors, and items columns as errors.equate_tests() excludes common items without usable
locations or standard errors from weighted linking and drift
inference.report_html() escapes data-derived labels and
notes.compare_fits() adds composite-likelihood AIC and BIC
based on the Godambe effective parameter count.eRm,
sirt, and psychotools.inst/casestudies/party_blocs_crisis.R
applies btl_efrm() to the Tuebingen 2009 party-preference
data.NA
standard errors with the number of boundary replicates reported.btl_efrm() fits the paired-comparison extension of the
extended frame of reference model, with panel units, object-set units,
and set origins.plot_btl_units() and simulate_btl_efrm()
support display and simulation.btl() adds anchored estimation and a first-position
effect.btl_equate() and plot_btl_equate() provide
common-object linking and drift tests for paired-comparison
calibrations.btl_information(), plot_btl_targeting(),
and btl_next_pairs() provide design information and greedy
next-pair selection.sim_replicate(), sim_recovery(), and
plot_recovery() support repeated simulation and
parameter-recovery summaries.simulate_efrm() gains n_categories for
partial credit items within frames, with planted thresholds recorded in
the truth attribute.simulate_rasch(), simulate_btl(),
simulate_mfrm(), and simulate_efrm() generate
data from the package’s model families and can introduce nominated
departures. Generating parameters are stored in the returned data.plot_btl_judge_map() now displays individual matchups.
judge_pair_surprise() returns the corresponding
residuals.judge_surprise() and plot_btl_judge_map()
compare a judge’s object-level preferences with the consensus object
scale. The display is available from the Shiny Judge fit page.btl_transitivity() reports circular triads and
Kendall’s consistency coefficient for suitable paired-comparison
designs.btl_dimensionality() decomposes the skew-symmetric
residual preference matrix and compares its leading component with a
model-based reference.rmt,
to rasch. Result classes use the rasch_
prefix.btl() adds count-weighted exposure and carry-over
effects, separation handling, and
plot_btl_dependence().btl_dif() carries fitted dependence effects into its
residual analysis and handles aggregated comparison counts.dif_contrasts().plot_pca_biplot() draws the item loadings on the first
two residual principal components on equal axes.residual_correlations() now also returns the
adjusted-Q3 star_matrix and plot_resid_cor()
can draw raw Q3 or adjusted Q3*.dif_anova() is now the single DIF analysis-of-variance
function. One factor is analysed one-way; several factors are fitted
jointly. It supports repeated-measures and mixed designs.resolve_dif() resolves DIF iteratively by item
splitting.First stable release.
rasch() fits dichotomous, partial credit, and rating
scale models by pairwise conditional maximum likelihood, with Warm WLE
person estimates.rasch_mfrm() fits additive and item-by-facet many-facet
models.rasch_efrm() fits the extended frame of reference
model.btl() fits dichotomous and ordered paired-comparison
models.fit_summary_table() and targeting_table()
return the headline statistics; save_outputs() and
report_html() export results.run_app() launches the Shiny interface and shows the R
call corresponding to each analysis.These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.