RMitemRestscorePlot: Plot the Simulated Item-Restscore Null Distribution

In easyRasch2: Psychometric Analysis with Rasch Measurement Theory

Plot the Simulated Item-Restscore Null Distribution

Description

Visualises the per-item null distribution of the observed minus expected item-restscore gamma from RMitemRestscoreCutoff, optionally overlaying the observed differences from the original data.

Usage

RMitemRestscorePlot(simfit, data)

Arguments

simfit	The return value of RMitemRestscoreCutoff (a list with components results, item_cutoffs, actual_iterations, sample_n, and item_names).
data	Optional. A data.frame or matrix of item responses for computing and overlaying the observed item-restscore differences. Items must be scored starting at 0 (non-negative integers). When provided, the plot includes orange diamond markers for the observed difference alongside the simulated distribution, plus segment summaries of the intervals.

Details

Uses ggdist::stat_dotsinterval() (when data is not supplied) or ggdist::stat_dots() (when data is supplied) with point_interval = "median_hdci". The outer .width follows simfit$hdci_width, so the shaded interval matches the one RMitemRestscore() tabulates.

The x-axis is the difference between observed and model-expected gamma, the statistic RMitemRestscore tests. A dashed line marks zero. The simulated distributions are generally not centred on zero in small samples, which is one of the reasons the asymptotic test is miscalibrated (see RMitemRestscoreCutoff). Positive values indicate over-discrimination (overfit), negative values under-discrimination (underfit).

When data is supplied, the observed differences are computed with RMitemRestscore and overlaid as orange diamonds, with per-item intervals drawn as black line segments (thicker for the 66% range) and black dots for the simulated median.

The ggplot2 and ggdist packages must be installed (they are in Suggests, not Imports).

Value

A ggplot object.

See Also

RMitemRestscoreCutoff, RMitemRestscore

Examples

if (requireNamespace("iarm", quietly = TRUE) &&
    requireNamespace("ggdist", quietly = TRUE) &&
    requireNamespace("ggplot2", quietly = TRUE)) {
  set.seed(42)
  sim_data <- as.data.frame(
    matrix(sample(0:1, 200 * 10, replace = TRUE), nrow = 200, ncol = 10)
  )
  colnames(sim_data) <- paste0("Item", 1:10)

  cutoff_res <- RMitemRestscoreCutoff(sim_data, iterations = 100,
                                      parallel = FALSE, seed = 42)

  # Simulated distribution only
  RMitemRestscorePlot(cutoff_res)

  # With the observed differences overlaid
  RMitemRestscorePlot(cutoff_res, data = sim_data)
}

easyRasch2 documentation built on Oct. 6, 2026, 5:06 p.m.