Audit process-dependent item discrimination — process_dependent_discrimination

Residualises a process variable against person/item baselines, then tests whether the theta-response slope changes with that residual process value. This is a transparent diagnostic inspired by 2026 evidence on conditional response-time/discrimination dependencies, not an exact reproduction of the published meta-analytic model.

Usage

process_dependent_discrimination_audit(
  data,
  response,
  theta,
  process,
  person,
  item,
  nonlinear = TRUE
)

Arguments

data: Long-format response data.
response: Binary response column.
theta: Person latent-score column.
process: RT/gaze/process measure.
person, item: Identifier columns.
nonlinear: If TRUE and mgcv is installed, additionally estimate a smooth theta-by-process diagnostic surface.

Value

An object of class "eye_process_dependent_discrimination", stored as a named list, with components "process_model", "response_model", "interaction", "smooth_model", "residual_process", "status", "caveat". It contains process-dependent item discrimination and associated metadata or diagnostics needed to interpret the result.