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mfrmr

Native R package for many-facet Rasch model (MFRM) estimation, diagnostics, and reporting workflows.

What this package is for

mfrmr is designed around four package-native routes:

Estimation and diagnostics: fit_mfrm() -> diagnose_mfrm()
Reporting and manuscript preparation: reporting_checklist() -> build_apa_outputs()
Linking, anchors, drift, and DFF: subset_connectivity_report() -> anchor_to_baseline() / analyze_dff()
Legacy-compatible export when required: run_mfrm_facets() and related compatibility helpers

If you want the shortest possible recommendation:

Final estimation: prefer method = "MML"
Fast exploratory pass: use method = "JML"
First visual screen: plot_qc_dashboard(..., preset = "publication")
First reporting screen: reporting_checklist()

Features

Flexible facet count (facets = c(...))
Estimation methods: MML (default) and JML (JMLE internally)
Models: RSM, PCM (PCM uses step-facet-specific thresholds on a shared observed score scale)
Legacy-compatible one-shot wrapper (run_mfrm_facets(), alias mfrmRFacets())
Bias/interaction iterative estimation with compatibility exports
App-style multi-pair bias orchestration (estimate_all_bias())
Optional fixed-width text reports for console/log audits
APA-style narrative output helpers (build_apa_outputs())
Reporting checklist and facet dashboard helpers (reporting_checklist(), facet_quality_dashboard())
Bundle export, manifest, and replay-script helpers (export_mfrm_bundle(), build_mfrm_manifest(), build_mfrm_replay_script())
Facet equivalence analysis with TOST / ROPE summaries (analyze_facet_equivalence())
Visual warning and summary maps (build_visual_summaries())
Exploratory residual PCA summaries (overall / facet / both)
Differential facet functioning (DFF) analysis with method-appropriate classification (analyze_dff(), analyze_dif(), dif_report())
Model comparison with information criteria on a common likelihood basis (compare_mfrm())
RSM design-weighted precision curves (compute_information(), plot_information())
Unified Wright map across facets (plot_wright_unified())
Anchoring and linking across administrations (anchor_to_baseline(), detect_anchor_drift(), build_equating_chain())
Automated 10-check QC pipeline (run_qc_pipeline(), plot_qc_pipeline())
Simulation-based design planning (simulate_mfrm_data(), evaluate_mfrm_design())
Fit-derived semi-parametric / plasmode-style simulation specs via empirical latent supports, resampled rater profiles, or observed response skeleton reuse with optional Weight carry-over and optional person-level Group carry-over from source_data (extract_mfrm_sim_spec(..., latent_distribution = "empirical", assignment = "resampled" / "skeleton"))
Scenario-level population forecasting from explicit simulation specs (build_mfrm_sim_spec(), extract_mfrm_sim_spec(), predict_mfrm_population())
Fixed-calibration posterior scoring for future or partially observed units (predict_mfrm_units())
Approximate plausible-value draws for future or partially observed units under a fixed MML calibration (sample_mfrm_plausible_values())
Data descriptives and anchor audit helpers (describe_mfrm_data(), audit_mfrm_anchors())
Anchor export for linking workflows (make_anchor_table())

Documentation map

The README is only the shortest map. The package now has guide-style help pages for the main workflows.

Workflow map: help("mfrmr_workflow_methods", package = "mfrmr")
Visual diagnostics map: help("mfrmr_visual_diagnostics", package = "mfrmr")
Reports and tables map: help("mfrmr_reports_and_tables", package = "mfrmr")
Reporting and APA map: help("mfrmr_reporting_and_apa", package = "mfrmr")
Linking and DFF map: help("mfrmr_linking_and_dff", package = "mfrmr")
Compatibility layer map: help("mfrmr_compatibility_layer", package = "mfrmr")

Companion vignettes:

vignette("mfrmr-workflow", package = "mfrmr")
vignette("mfrmr-visual-diagnostics", package = "mfrmr")
vignette("mfrmr-reporting-and-apa", package = "mfrmr")
vignette("mfrmr-linking-and-dff", package = "mfrmr")

Installation

# GitHub (development version)
if (!requireNamespace("remotes", quietly = TRUE)) install.packages("remotes")
remotes::install_github("Ryuya-dot-com/R_package_mfrmr", build_vignettes = TRUE)

# CRAN (after release)
# install.packages("mfrmr")

If you install from GitHub without build_vignettes = TRUE, use the guide-style help pages included in the package, for example:

help("mfrmr_workflow_methods", package = "mfrmr")
help("mfrmr_reporting_and_apa", package = "mfrmr")
help("mfrmr_linking_and_dff", package = "mfrmr")

Installed vignettes:

browseVignettes("mfrmr")

Core workflow

fit_mfrm() --> diagnose_mfrm() --> reporting / advanced analysis
                    |
                    +--> analyze_residual_pca()
                    +--> estimate_bias()
                    +--> analyze_dff()
                    +--> compare_mfrm()
                    +--> run_qc_pipeline()
                    +--> anchor_to_baseline() / detect_anchor_drift()

Fit model: fit_mfrm()
Diagnostics: diagnose_mfrm()
Optional residual PCA: analyze_residual_pca()
Optional interaction bias: estimate_bias()
Differential-functioning analysis: analyze_dff(), dif_report()
Model comparison: compare_mfrm()
Reporting: apa_table(), build_apa_outputs(), build_visual_summaries()
Quality control: run_qc_pipeline()
Anchoring & linking: anchor_to_baseline(), detect_anchor_drift(), build_equating_chain()
Compatibility audit when needed: facets_parity_report()
Reproducible inspection: summary() and plot(..., draw = FALSE)

Choose a route

Use the route that matches the question you are trying to answer.

Question	Recommended route
Can I fit the model and get a first-pass diagnosis quickly?	`fit_mfrm()` -> `diagnose_mfrm()` -> `plot_qc_dashboard()`
Which reporting elements are draft-complete, and with what caveats?	`diagnose_mfrm()` -> `precision_audit_report()` -> `reporting_checklist()`
Which tables and prose should I adapt into a manuscript draft?	`reporting_checklist()` -> `build_apa_outputs()` -> `apa_table()`
Is the design connected well enough for a common scale?	`subset_connectivity_report()` -> `plot(..., type = "design_matrix")`
Do I need to place a new administration onto a baseline scale?	`make_anchor_table()` -> `anchor_to_baseline()`
Are common elements stable across separately fitted forms or waves?	fit each wave -> `detect_anchor_drift()` -> `build_equating_chain()`
Are some facet levels functioning differently across groups?	`subset_connectivity_report()` -> `analyze_dff()` -> `dif_report()`
Do I need old fixed-width or wrapper-style outputs?	`run_mfrm_facets()` or `build_fixed_reports()` only at the compatibility boundary

Start here

If you are new to the package, these are the three shortest useful routes.

Shared setup used by the snippets below:

library(mfrmr)
toy <- load_mfrmr_data("example_core")

1. Quick first pass

fit <- fit_mfrm(toy, "Person", c("Rater", "Criterion"), "Score",
                method = "MML", model = "RSM", quad_points = 7)
diag <- diagnose_mfrm(fit, residual_pca = "none")
summary(diag)
plot_qc_dashboard(fit, diagnostics = diag, preset = "publication")

2. Design and linking check

diag <- diagnose_mfrm(fit, residual_pca = "none")
sc <- subset_connectivity_report(fit, diagnostics = diag)
summary(sc)
plot(sc, type = "design_matrix", preset = "publication")
plot_wright_unified(fit, preset = "publication", show_thresholds = TRUE)

3. Manuscript and reporting check

# Add `bias_results = ...` if you want the bias/reporting layer included.
chk <- reporting_checklist(fit, diagnostics = diag)
apa <- build_apa_outputs(fit, diag)

chk$checklist[, c("Section", "Item", "DraftReady", "NextAction")]
cat(apa$report_text)

Estimation choices

The package treats MML and JML differently on purpose.

MML is the default and the preferred route for final estimation.
JML is supported as a fast exploratory route.
Downstream precision summaries distinguish model_based, hybrid, and exploratory tiers.
Use precision_audit_report() when you need to decide how strongly to phrase SE, CI, or reliability claims.

Typical pattern:

toy <- load_mfrmr_data("example_core")

fit_fast <- fit_mfrm(toy, "Person", c("Rater", "Criterion"), "Score",
                     method = "JML", model = "RSM", maxit = 50)
fit_final <- fit_mfrm(toy, "Person", c("Rater", "Criterion"), "Score",
                      method = "MML", model = "RSM", quad_points = 15)

diag_final <- diagnose_mfrm(fit_final, residual_pca = "none")
precision_audit_report(fit_final, diagnostics = diag_final)

Core analysis help pages include practical sections such as:

Interpreting output
Typical workflow

Recommended entry points:

?mfrmr-package (package overview)
?fit_mfrm, ?diagnose_mfrm, ?run_mfrm_facets
?analyze_dff, ?analyze_dif, ?compare_mfrm, ?run_qc_pipeline
?anchor_to_baseline, ?detect_anchor_drift, ?build_equating_chain
?build_apa_outputs, ?build_visual_summaries, ?apa_table
?reporting_checklist, ?facet_quality_dashboard, ?estimate_all_bias
?export_mfrm_bundle, ?build_mfrm_manifest, ?build_mfrm_replay_script
?analyze_facet_equivalence, ?plot_facet_equivalence
?mfrmr_workflow_methods, ?mfrmr_visual_diagnostics
?mfrmr_reports_and_tables, ?mfrmr_reporting_and_apa
?mfrmr_linking_and_dff, ?mfrmr_compatibility_layer

Utility pages such as ?export_mfrm, ?as.data.frame.mfrm_fit, and ?plot_bubble also include lightweight export / plotting examples.

Performance tips

Start with method = "JML" when you want a quick exploratory fit.
Prefer method = "MML" for final estimation, but tune quad_points to match your workflow.
quad_points = 7 is a good fast iteration setting; quad_points = 15 is a better final-analysis setting.
Use diagnose_mfrm(fit, residual_pca = "none") for a quick first pass, then add residual PCA only when needed.
Reuse diagnostics objects in downstream helpers such as plot_bubble() and run_qc_pipeline() to avoid repeated work.

Documentation datasets

load_mfrmr_data("example_core"): compact, approximately unidimensional example for fitting, diagnostics, plots, and reports.
load_mfrmr_data("example_bias"): compact example with known Group x Criterion differential-functioning and Rater x Criterion interaction signals for bias-focused help pages.
load_mfrmr_data("study1") / load_mfrmr_data("study2"): larger Eckes/Jin-inspired synthetic studies for more realistic end-to-end analyses.
Direct dataset access also works with data("mfrmr_example_core", package = "mfrmr") and data("mfrmr_example_bias", package = "mfrmr").

Quick start

library(mfrmr)

data("mfrmr_example_core", package = "mfrmr")
df <- mfrmr_example_core

# Fit
fit <- fit_mfrm(
  data = df,
  person = "Person",
  facets = c("Rater", "Criterion"),
  score = "Score",
  method = "MML",
  model = "RSM",
  quad_points = 7
)
summary(fit)

# Fast diagnostics first
diag <- diagnose_mfrm(fit, residual_pca = "none")
summary(diag)

# APA outputs
apa <- build_apa_outputs(fit, diag)
cat(apa$report_text)

# QC pipeline reuses the same diagnostics object
qc <- run_qc_pipeline(fit, diagnostics = diag)
summary(qc)

Main objects you will reuse

Most package workflows reuse a small set of objects rather than recomputing everything from scratch.

fit: the fitted many-facet Rasch model returned by fit_mfrm()
diag: diagnostic summaries returned by diagnose_mfrm()
chk: reporting and manuscript-draft checks returned by reporting_checklist()
apa: structured APA/report draft outputs returned by build_apa_outputs()
sc: connectivity and linking summaries returned by subset_connectivity_report()
bias / dff: interaction screening and differential-functioning results returned by estimate_bias() and analyze_dff()

Typical reuse pattern:

toy <- load_mfrmr_data("example_core")

fit <- fit_mfrm(toy, "Person", c("Rater", "Criterion"), "Score",
                method = "MML", model = "RSM", quad_points = 7)
diag <- diagnose_mfrm(fit, residual_pca = "none")
chk <- reporting_checklist(fit, diagnostics = diag)
apa <- build_apa_outputs(fit, diag)
sc <- subset_connectivity_report(fit, diagnostics = diag)

Reporting and APA route

If your endpoint is a manuscript or internal report, use the package-native reporting contract rather than composing text by hand.

diag <- diagnose_mfrm(fit, residual_pca = "none")

# Add `bias_results = ...` to either helper when bias screening should
# appear in the checklist or draft text.
chk <- reporting_checklist(fit, diagnostics = diag)
chk$checklist[, c("Section", "Item", "DraftReady", "Priority", "NextAction")]

apa <- build_apa_outputs(
  fit,
  diag,
  context = list(
    assessment = "Writing assessment",
    setting = "Local scoring study",
    scale_desc = "0-4 rubric scale",
    rater_facet = "Rater"
  )
)

cat(apa$report_text)
apa$section_map[, c("SectionId", "Available", "Heading")]

tbl_fit <- apa_table(fit, which = "summary")
tbl_reliability <- apa_table(fit, which = "reliability", diagnostics = diag)

For a question-based map of the reporting API, see help("mfrmr_reporting_and_apa", package = "mfrmr").

Visualization recipes

If you want a question-based map of the plotting API, see help("mfrmr_visual_diagnostics", package = "mfrmr").

# Wright map with shared targeting view
plot(fit, type = "wright", preset = "publication", show_ci = TRUE)

# Pathway map with dominant-category strips
plot(fit, type = "pathway", preset = "publication")

# Linking design matrix
sc <- subset_connectivity_report(fit, diagnostics = diag)
plot(sc, type = "design_matrix", preset = "publication")

# Unexpected responses
plot_unexpected(fit, diagnostics = diag, preset = "publication")

# Displacement screening
plot_displacement(fit, diagnostics = diag, preset = "publication")

# Facet variability overview
plot_facets_chisq(fit, diagnostics = diag, preset = "publication")

# Residual PCA scree and loadings
pca <- analyze_residual_pca(diag, mode = "both")
plot_residual_pca(pca, mode = "overall", plot_type = "scree", preset = "publication")

# Bias screening profile
bias <- estimate_bias(fit, diag, facet_a = "Rater", facet_b = "Criterion")
plot_bias_interaction(bias, plot = "facet_profile", preset = "publication")

# One-page QC screen
plot_qc_dashboard(fit, diagnostics = diag, preset = "publication")

Linking, anchors, and DFF route

Use this route when your design spans forms, waves, or subgroup comparisons.

data("mfrmr_example_bias", package = "mfrmr")
df_bias <- mfrmr_example_bias
fit_bias <- fit_mfrm(df_bias, "Person", c("Rater", "Criterion"), "Score",
                     method = "MML", model = "RSM", quad_points = 7)
diag_bias <- diagnose_mfrm(fit_bias, residual_pca = "none")

# Connectivity and design coverage
sc <- subset_connectivity_report(fit_bias, diagnostics = diag_bias)
summary(sc)
plot(sc, type = "design_matrix", preset = "publication")

# Anchor export from a baseline fit
anchors <- make_anchor_table(fit_bias, facets = "Criterion")
head(anchors)

# Differential facet functioning
dff <- analyze_dff(
  fit_bias,
  diag_bias,
  facet = "Criterion",
  group = "Group",
  data = df_bias,
  method = "residual"
)
dff$summary
plot_dif_heatmap(dff)

For linking-specific guidance, see help("mfrmr_linking_and_dff", package = "mfrmr").

DFF / DIF analysis

data("mfrmr_example_bias", package = "mfrmr")
df_bias <- mfrmr_example_bias
fit_bias <- fit_mfrm(df_bias, "Person", c("Rater", "Criterion"), "Score",
                     method = "MML", model = "RSM", quad_points = 7)
diag_bias <- diagnose_mfrm(fit_bias, residual_pca = "none")

dff <- analyze_dff(fit_bias, diag_bias, facet = "Criterion",
                   group = "Group", data = df_bias, method = "residual")
dff$dif_table
dff$summary

# Cell-level interaction table
dit <- dif_interaction_table(fit_bias, diag_bias, facet = "Criterion",
                             group = "Group", data = df_bias)

# Visual, narrative, and bias reports
plot_dif_heatmap(dff)
dr <- dif_report(dff)
cat(dr$narrative)

# Refit-based contrasts can support ETS labels only when subgroup linking is adequate
dff_refit <- analyze_dff(fit_bias, diag_bias, facet = "Criterion",
                         group = "Group", data = df_bias, method = "refit")
dff_refit$summary

bias <- estimate_bias(fit_bias, diag_bias, facet_a = "Rater", facet_b = "Criterion")
summary(bias)

# App-style batch bias estimation across all modeled facet pairs
bias_all <- estimate_all_bias(fit_bias, diag_bias)
bias_all$summary

Interpretation rules:

residual DFF is a screening route.
refit DFF can support logit-scale contrasts only when subgroup linking is adequate.
Check ScaleLinkStatus, ContrastComparable, and the reported classification system before treating a contrast as a strong interpretive claim.

Model comparison

fit_rsm <- fit_mfrm(df, "Person", c("Rater", "Criterion"), "Score",
                     method = "MML", model = "RSM")
fit_pcm <- fit_mfrm(df, "Person", c("Rater", "Criterion"), "Score",
                     method = "MML", model = "PCM", step_facet = "Criterion")
cmp <- compare_mfrm(RSM = fit_rsm, PCM = fit_pcm)
cmp$table

# Request nested tests only when models are truly nested and fit on the same basis
cmp_nested <- compare_mfrm(RSM = fit_rsm, PCM = fit_pcm, nested = TRUE)
cmp_nested$comparison_basis

# RSM design-weighted precision curves
info <- compute_information(fit_rsm)
plot_information(info)

Design simulation

spec <- build_mfrm_sim_spec(
  n_person = 50,
  n_rater = 4,
  n_criterion = 4,
  raters_per_person = 2,
  assignment = "rotating",
  model = "RSM"
)

sim_eval <- evaluate_mfrm_design(
  n_person = c(30, 50, 80),
  n_rater = 4,
  n_criterion = 4,
  raters_per_person = 2,
  reps = 2,
  maxit = 15,
  sim_spec = spec,
  seed = 123
)

s_sim <- summary(sim_eval)
s_sim$design_summary
s_sim$ademp

rec <- recommend_mfrm_design(sim_eval)
rec$recommended

plot(sim_eval, facet = "Rater", metric = "separation", x_var = "n_person")
plot(sim_eval, facet = "Criterion", metric = "severityrmse", x_var = "n_person")

Notes:

Use build_mfrm_sim_spec() when you want one explicit, reusable data-generating mechanism.
Use extract_mfrm_sim_spec(fit) when you want a fit-derived starting point for a later design study.
Use extract_mfrm_sim_spec(fit, latent_distribution = "empirical", assignment = "resampled") when you want a more semi-parametric design study that reuses empirical fitted spreads and observed rater-assignment profiles.
Use extract_mfrm_sim_spec(fit, latent_distribution = "empirical", assignment = "skeleton") when you want a more plasmode-style study that preserves the observed person-by-facet design skeleton and resimulates only the responses.
summary(sim_eval)$ademp records the simulation-study contract: aims, DGM, estimands, methods, and performance measures.

Population forecast

spec_pop <- build_mfrm_sim_spec(
  n_person = 50,
  n_rater = 4,
  n_criterion = 4,
  raters_per_person = 2,
  assignment = "rotating",
  model = "RSM"
)

pred_pop <- predict_mfrm_population(
  sim_spec = spec_pop,
  n_person = 60,
  reps = 2,
  maxit = 15,
  seed = 123
)

s_pred <- summary(pred_pop)
s_pred$forecast[, c("Facet", "MeanSeparation", "McseSeparation")]

Notes:

predict_mfrm_population() forecasts aggregate operating characteristics for one future design.
It does not return deterministic future person or rater true values.

Future-unit posterior scoring

toy_pred <- load_mfrmr_data("example_core")
toy_fit <- fit_mfrm(
  toy_pred,
  "Person", c("Rater", "Criterion"), "Score",
  method = "MML",
  quad_points = 7
)

raters <- unique(toy_pred$Rater)[1:2]
criteria <- unique(toy_pred$Criterion)[1:2]

new_units <- data.frame(
  Person = c("NEW01", "NEW01", "NEW02", "NEW02"),
  Rater = c(raters[1], raters[2], raters[1], raters[2]),
  Criterion = c(criteria[1], criteria[2], criteria[1], criteria[2]),
  Score = c(2, 3, 2, 4)
)

pred_units <- predict_mfrm_units(toy_fit, new_units, n_draws = 0)
summary(pred_units)$estimates[, c("Person", "Estimate", "Lower", "Upper")]

pv_units <- sample_mfrm_plausible_values(
  toy_fit,
  new_units,
  n_draws = 3,
  seed = 123
)
summary(pv_units)$draw_summary[, c("Person", "Draws", "MeanValue")]

Notes:

predict_mfrm_units() scores future or partially observed persons under a fixed MML calibration.
It returns posterior summaries, not deterministic future true values.
sample_mfrm_plausible_values() exposes fixed-calibration posterior draws as approximate plausible-value summaries.
Non-person facet levels in new_units must already exist in the fitted calibration.

Prediction-aware bundle export

bundle_pred <- export_mfrm_bundle(
  fit = toy_fit,
  population_prediction = pred_pop,
  unit_prediction = pred_units,
  plausible_values = pv_units,
  output_dir = tempdir(),
  prefix = "mfrmr_prediction_bundle",
  include = c("manifest", "predictions", "html"),
  overwrite = TRUE
)

bundle_pred$summary

Notes:

include = "predictions" only writes prediction artifacts that you actually supply.
Use predict_mfrm_units() and sample_mfrm_plausible_values() only with an existing MML calibration.

DIF / Bias screening simulation

spec_sig <- build_mfrm_sim_spec(
  n_person = 50,
  n_rater = 4,
  n_criterion = 4,
  raters_per_person = 2,
  assignment = "rotating",
  group_levels = c("A", "B")
)

sig_eval <- evaluate_mfrm_signal_detection(
  n_person = c(30, 50, 80),
  n_rater = 4,
  n_criterion = 4,
  raters_per_person = 2,
  reps = 2,
  dif_effect = 0.8,
  bias_effect = -0.8,
  maxit = 15,
  sim_spec = spec_sig,
  seed = 123
)

s_sig <- summary(sig_eval)
s_sig$detection_summary
s_sig$ademp

plot(sig_eval, signal = "dif", metric = "power", x_var = "n_person")
plot(sig_eval, signal = "bias", metric = "false_positive", x_var = "n_person")

Notes:

DIFPower is a conventional detection-power summary for the injected DIF target.
BiasScreenRate and BiasScreenFalsePositiveRate summarize screening behavior from estimate_bias().
Bias-side t/Prob. values are screening metrics, not formal inferential p-values.

Bundle export

bundle <- export_mfrm_bundle(
  fit_bias,
  diagnostics = diag_bias,
  bias_results = bias_all,
  output_dir = tempdir(),
  prefix = "mfrmr_bundle",
  include = c("core_tables", "checklist", "manifest", "visual_summaries", "script", "html"),
  overwrite = TRUE
)

bundle$written_files

bundle_pred <- export_mfrm_bundle(
  toy_fit,
  output_dir = tempdir(),
  prefix = "mfrmr_prediction_bundle",
  include = c("manifest", "predictions", "html"),
  population_prediction = pred_pop,
  unit_prediction = pred_units,
  plausible_values = pv_units,
  overwrite = TRUE
)

bundle_pred$written_files

replay <- build_mfrm_replay_script(
  fit_bias,
  diagnostics = diag_bias,
  bias_results = bias_all,
  data_file = "your_data.csv"
)

replay$summary

Anchoring and linking

d1 <- load_mfrmr_data("study1")
d2 <- load_mfrmr_data("study2")
fit1 <- fit_mfrm(d1, "Person", c("Rater", "Criterion"), "Score", method = "JML", maxit = 25)
fit2 <- fit_mfrm(d2, "Person", c("Rater", "Criterion"), "Score", method = "JML", maxit = 25)

# Anchored calibration
res <- anchor_to_baseline(d2, fit1, "Person", c("Rater", "Criterion"), "Score")
summary(res)
res$drift

# Drift detection
drift <- detect_anchor_drift(list(Wave1 = fit1, Wave2 = fit2))
summary(drift)
plot_anchor_drift(drift, type = "drift")

# Screened linking chain
chain <- build_equating_chain(list(Form1 = fit1, Form2 = fit2))
summary(chain)
plot_anchor_drift(chain, type = "chain")

Notes:

detect_anchor_drift() and build_equating_chain() remove the common-element link offset first, then report residual drift/link residuals.
Treat LinkSupportAdequate = FALSE as a weak-link warning: at least one linking facet retained fewer than 5 common elements after screening.
build_equating_chain() is a practical screened linking aid, not a full general-purpose equating framework.

QC pipeline

qc <- run_qc_pipeline(fit, threshold_profile = "standard")
qc$overall      # "Pass", "Warn", or "Fail"
qc$verdicts     # per-check verdicts
qc$recommendations

plot_qc_pipeline(qc, type = "traffic_light")
plot_qc_pipeline(qc, type = "detail")

# Threshold profiles: "strict", "standard", "lenient"
qc_strict <- run_qc_pipeline(fit, threshold_profile = "strict")

Compatibility layer

Compatibility helpers are still available, but they are no longer the primary route for new scripts.

Use run_mfrm_facets() or mfrmRFacets() only when you need the one-shot wrapper.
Use build_fixed_reports() and facets_output_file_bundle() only when a fixed-width or legacy export contract is required.
For routine work, prefer package-native routes built from fit_mfrm(), diagnose_mfrm(), reporting_checklist(), and build_apa_outputs().

For the full map, see help("mfrmr_compatibility_layer", package = "mfrmr").

Legacy-compatible one-shot wrapper

run <- run_mfrm_facets(
  data = df,
  person = "Person",
  facets = c("Rater", "Criterion"),
  score = "Score",
  method = "JML",
  model = "RSM"
)
summary(run)
plot(run, type = "fit", draw = FALSE)

Public API map

Model and diagnostics:

fit_mfrm(), run_mfrm_facets(), mfrmRFacets()
diagnose_mfrm(), analyze_residual_pca()
estimate_bias(), bias_count_table()

Differential functioning and model comparison:

analyze_dff(), analyze_dif() (compatibility alias), dif_interaction_table(), dif_report()
compare_mfrm()
compute_information(), plot_information() for design-weighted precision curves

Anchoring and linking:

anchor_to_baseline(), detect_anchor_drift(), build_equating_chain()
plot_anchor_drift()

QC pipeline:

run_qc_pipeline(), plot_qc_pipeline()

Table/report outputs:

specifications_report(), data_quality_report(), estimation_iteration_report()
subset_connectivity_report(), facet_statistics_report()
measurable_summary_table(), rating_scale_table()
category_structure_report(), category_curves_report()
unexpected_response_table(), unexpected_after_bias_table()
fair_average_table(), displacement_table()
interrater_agreement_table(), facets_chisq_table()
facets_output_file_bundle(), facets_parity_report()
bias_interaction_report(), build_fixed_reports()
apa_table(), build_apa_outputs(), build_visual_summaries()

Output terminology:

ModelSE: model-based standard error used for primary estimation summaries
RealSE: fit-adjusted standard error, useful as a conservative companion
fair_average_table() keeps historical display labels such as Fair(M) Average, and also exposes package-native aliases such as AdjustedAverage, StandardizedAdjustedAverage, ModelBasedSE, and FitAdjustedSE

Plots and dashboards:

plot_unexpected(), plot_fair_average(), plot_displacement()
plot_interrater_agreement(), plot_facets_chisq()
plot_bias_interaction(), plot_residual_pca(), plot_qc_dashboard()
plot_bubble() – Rasch-convention bubble chart (Measure x Fit x SE)
plot_dif_heatmap() – differential-functioning heatmap across groups
plot_wright_unified() – unified Wright map across all facets
plot(fit, show_ci = TRUE) – approximate normal-interval whiskers on Wright map

Export and data utilities:

export_mfrm() – batch CSV export of all result tables
as.data.frame(fit) – tidy data.frame for write.csv() export
describe_mfrm_data(), audit_mfrm_anchors(), make_anchor_table()
mfrm_threshold_profiles(), list_mfrmr_data(), load_mfrmr_data()

Legacy FACETS-style numbered names are internal and not exported.

See:

inst/references/FACETS_manual_mapping.md
inst/references/CODE_READING_GUIDE.md (for developers/readers)

Packaged synthetic datasets

Installed at system.file("extdata", package = "mfrmr"):

eckes_jin_2021_study1_sim.csv
eckes_jin_2021_study2_sim.csv
eckes_jin_2021_combined_sim.csv
eckes_jin_2021_study1_itercal_sim.csv
eckes_jin_2021_study2_itercal_sim.csv
eckes_jin_2021_combined_itercal_sim.csv

The same datasets are also packaged in data/ and can be loaded with:

data("ej2021_study1", package = "mfrmr")
# or
df <- load_mfrmr_data("study1")

Current packaged dataset sizes:

study1: 1842 rows, 307 persons, 18 raters, 3 criteria
study2: 3287 rows, 206 persons, 12 raters, 9 criteria
combined: 5129 rows, 307 persons, 18 raters, 12 criteria
study1_itercal: 1842 rows, 307 persons, 18 raters, 3 criteria
study2_itercal: 3341 rows, 206 persons, 12 raters, 9 criteria
combined_itercal: 5183 rows, 307 persons, 18 raters, 12 criteria

Citation

citation("mfrmr")

Acknowledgements

mfrmr has benefited from discussion and methodological input from Dr. Atsushi Mizumoto and Dr. Taichi Yamashita.

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.

mfrmr

What this package is for

Features

Documentation map

Installation

Core workflow

Choose a route

Start here

1. Quick first pass

2. Design and linking check

3. Manuscript and reporting check

Estimation choices

Help-page navigation

Performance tips

Documentation datasets

Quick start

Main objects you will reuse

Reporting and APA route

Visualization recipes

Linking, anchors, and DFF route

DFF / DIF analysis

Model comparison

Design simulation

Population forecast

Future-unit posterior scoring

Prediction-aware bundle export

DIF / Bias screening simulation

Bundle export

Anchoring and linking

QC pipeline

Compatibility layer

Legacy-compatible one-shot wrapper

Public API map

FACETS reference mapping

Packaged synthetic datasets

Citation

Acknowledgements