/** * Metrics computed IDENTICALLY for a human answer vector and a model answer vector, so a model's * number is always read against the same statistic taken over humans. Scale scores come from the * repo's own scoreSubmission (lib-common.mjs); everything else here is descriptive and defined below. */ import { TESTS, loadItems, loadHumans, scoreSubmission, mean, sd, pearson, midrankPct } from './lib-common.mjs' export const NEUTRAL = 2 // "Neither" / "Unsure" / "Neutral": the middle option of all three 5-point scales export function scoreAnswers(testId, answers) { const t = TESTS[testId] if (answers.length !== t.nItems || answers.some((a) => !Number.isInteger(a) || a < 0 || a > 4)) throw new Error('bad answer vector') const r = scoreSubmission(t.slug, answers) return { scores: r.scores, top: r.topResult } } /** Descriptive style metrics. items = loadItems(testId). answers = 0..4 indices. */ export function styleMetrics(items, answers) { const n = answers.length const byScale = {} items.forEach((it, i) => { const k = it.reverse ? 4 - answers[i] : answers[i] ;(byScale[it.scale] ||= { keyed: [], pos: [], rev: [] }).keyed.push(k) ;(it.reverse ? byScale[it.scale].rev : byScale[it.scale].pos).push(answers[i]) }) const scales = Object.values(byScale) const keyedSD = mean(scales.map((s) => sd(s.keyed))) const balanced = scales.filter((s) => s.pos.length && s.rev.length) const acq = balanced.length ? mean(balanced.map((s) => (mean(s.pos) + mean(s.rev)) / 2)) / 4 : null // 0.5 = neutral; only defined where both key directions exist return { keyedSD, acq, extreme: answers.filter((a) => a === 0 || a === 4).length / n, mid: answers.filter((a) => a === NEUTRAL).length / n, upperSide: answers.filter((a) => a > NEUTRAL).length / n, // agree / like side lowerSide: answers.filter((a) => a < NEUTRAL).length / n, meanRaw: mean(answers), } } /** Human reference for one test: comparator subsets + per-item counts + leave-one-out agreement stats. */ export function buildHumanRef(testId, { minSecPerItem = null } = {}) { const t = TESTS[testId] const items = loadItems(testId) const all = loadHumans(testId) const rows = all.map((r) => { // answers outside the 5-option index range 0..4 exist in the published CSVs; they cannot be scored const invalidRange = r.q.some((a) => !Number.isInteger(a) || a < 0 || a > 4) const s = invalidRange ? { scores: {} } : scoreAnswers(testId, r.q) const reproduces = !invalidRange && t.scales.every((k) => s.scores[k] === r.stored[k]) const sameAll = r.q.every((a) => a === r.q[0]) const fast = r.duration != null && r.duration < t.nItems * 1.0 return { ...r, scores: s.scores, reproduces, invalidRange, straight: sameAll, fast } }) const subsets = { en_repro: rows.filter((r) => r.locale === 'en' && r.reproduces), all_repro: rows.filter((r) => r.reproduces), en_repro_clean: rows.filter((r) => r.locale === 'en' && r.reproduces && !r.straight && !r.fast), en_all: rows.filter((r) => r.locale === 'en'), } return { testId, t, items, all: rows, subsets } } /** Per-item counts, modal answers, item means and leave-one-out per-respondent statistics for a subset. */ export function itemStats(items, subset) { const n = subset.length const nOpt = 5 const counts = items.map(() => Array(nOpt).fill(0)) subset.forEach((r) => r.q.forEach((a, i) => counts[i][a]++)) const modal = counts.map((c) => c.indexOf(Math.max(...c))) const modalShare = counts.map((c, i) => c[modal[i]] / n) const itemMean = counts.map((c) => c.reduce((s, x, k) => s + x * k, 0) / n) // leave-one-out: agreement of each respondent with the modal answer of everyone else const looAgree = [], looWithin1 = [], looR = [] for (const r of subset) { let ag = 0, w1 = 0 const others = [] for (let i = 0; i < items.length; i++) { const c = counts[i].slice(); c[r.q[i]]-- const m = c.indexOf(Math.max(...c)) if (m === r.q[i]) ag++ if (Math.abs(m - r.q[i]) <= 1) w1++ others.push((itemMean[i] * n - r.q[i]) / (n - 1)) } looAgree.push(ag / items.length) looWithin1.push(w1 / items.length) looR.push(pearson(r.q, others)) } const sortNum = (a) => [...a].sort((x, y) => x - y) return { n, counts, modal, modalShare, itemMean, looAgree: sortNum(looAgree), looWithin1: sortNum(looWithin1), looR: sortNum(looR.filter((x) => !Number.isNaN(x))) } } /** Sorted per-respondent metric arrays for percentile lookups. */ export function styleDist(items, subset) { const ms = subset.map((r) => styleMetrics(items, r.q)) const col = (k) => ms.map((m) => m[k]).filter((x) => x != null).sort((a, b) => a - b) return { keyedSD: col('keyedSD'), acq: col('acq'), extreme: col('extreme'), mid: col('mid'), upperSide: col('upperSide'), meanRaw: col('meanRaw') } } export function scaleDist(t, subset) { const out = {} for (const s of t.scales) { const v = subset.map((r) => r.scores[s]).sort((a, b) => a - b) out[s] = { sorted: v, mean: mean(v), sd: sd(v), n: v.length } } return out } export function pctAndZ(dist, scale, score) { const d = dist[scale] return { pct: midrankPct(d.sorted, score), z: (score - d.mean) / d.sd } }