Simulate the M3 response + RT + gaze + pupil generative model — simulate_multimodal

Generates a four-dimensional correlated person process and four-dimensional correlated item process, explicit pupil nuisance variables, complete-data truth, device/session metadata, blink/interpolation indicators and pupil dropout. Pupil scenarios include informative, weak, null, redundant and confound-only conditions so that validation includes cases where pupil should add no defensible psychometric information.

Usage

simulate_multimodal_m3(
  n_person = 120L,
  n_item = 12L,
  pupil_signal = c("informative", "weak", "null", "redundant", "confounded"),
  pupil_missingness = c("mcar", "quality", "gaze", "ability", "device", "none"),
  mu_item = c(difficulty = 0, time_intensity = 4, gaze_intensity = 3.5, pupil_intensity =
    0),
  sd_person = c(ability = 1, speed = 0.5, gaze_process = 0.5, pupil_responsivity = 0.55),
  cor_person = matrix(c(1, 0.3, -0.3, 0.2, 0.3, 1, -0.25, -0.15, -0.3, -0.25, 1, 0.25,
    0.2, -0.15, 0.25, 1), 4L, 4L, byrow = TRUE),
  sd_item = c(difficulty = 0.75, time_intensity = 0.35, gaze_intensity = 0.6,
    pupil_intensity = 0.4),
  cor_item = matrix(c(1, 0.25, 0.2, 0.1, 0.25, 1, 0.3, 0.15, 0.2, 0.3, 1, 0.2, 0.1, 0.15,
    0.2, 1), 4L, 4L, byrow = TRUE),
  nu_range = c(0.5, 0.8),
  gaze_shape = c(shape = 2, scale = 6),
  pupil_noise = 0.65,
  confound_strength = c(baseline = 0.25, luminance = -0.35, gaze_x = 0.12, gaze_y = -0.1,
    quality = 0.2, blink = -0.18, interpolated = -0.12, time_on_task = 0.15),
  dropout = c(response = 0, rt = 0, gaze = 0.05, pupil = 0.12),
  device_effect = 0,
  session_effect = 0,
  seed = 20260815L
)

Arguments

n_person, n_item: Design size.
pupil_signal: Pupil signal scenario.
pupil_missingness: Missingness stress mechanism.
mu_item: Named numeric vector of population means for item difficulty, response-time intensity, gaze intensity, and pupil intensity.
sd_person: Named positive numeric vector of population standard deviations for person ability, speed, gaze-process propensity, and pupil responsivity.
cor_person: A 4 x 4 correlation matrix for person ability, speed, gaze-process, and pupil-responsivity effects, in that order.
sd_item: Named positive numeric vector of population standard deviations for item difficulty, response-time intensity, gaze intensity, and pupil intensity.
cor_item: A 4 x 4 correlation matrix for item difficulty, response-time intensity, gaze intensity, and pupil intensity, in that order.
nu_range: Length-two positive increasing numeric vector giving the lower and upper bounds for the item-specific response-time inverse-scale parameter `nu`; the log-response-time residual standard deviation is `1 / nu`.
gaze_shape: Named positive numeric vector with elements `shape` and `scale` defining the inverse-gamma generator for item-specific negative-binomial gaze dispersion.
pupil_noise: Residual SD for the pupil channel.
confound_strength: Named standardized nuisance coefficients.
dropout: Named base dropout probabilities for response, RT, gaze, pupil.
device_effect, session_effect: Additive pupil measurement shifts.
seed: Reproducibility seed.

Value

An `eye_multimodal_m3_simulation` retaining complete truth.