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2026-08-07 15:48:11 -04:00
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// SPDX-License-Identifier: Prosperity-3.0.0
// Copyright Scientific Computing Studio
// Source: https://git.scient.ing/education/coursebank
//! Psychometrics: what the responses say about the items and about the students.
//!
//! ```text
//! responses ──▶ classical ──┬──▶ students ──▶ reports
//! └──▶ irt ───────┤
//! └──▶ calibrate ──▶ back onto the items
//! ```
//!
//! [`classical`] is the one that changes what you do next. The corrected
//! point-biserial answers "did the students who knew the material get this right?",
//! and a negative one almost always means a keying error or a second defensible
//! reading of the stem.
//!
//! [`irt`] adds difficulty-aware ability estimates. Its priors are on by default
//! and that is not a stylistic choice: unpenalized maximum likelihood has no finite
//! solution for an item everyone answered correctly, and real classroom exams
//! contain those routinely.
//!
//! [`students`] turns item statistics into per-objective standing, and is careful
//! about what three questions can honestly support — it classifies on the observed
//! rate and reports confidence from the Wilson interval separately.
//!
//! [`calibrate`] is the arrow back to authoring, and the reason the system
//! compounds: statistics written onto an item are there the next time you consider
//! using it. It writes to [`crate::model::bank`] files, which is the one place this
//! module reaches upward, and it always shows a diff first.
//!
//! Everything here labels its own uncertainty. A point-biserial from twenty-four
//! examinees has a standard error near 0.2, and a tool that reports it to three
//! decimals without saying so is lying by omission.
pub mod calibrate;
pub mod classical;
pub mod irt;
pub mod students;