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Track 1: results, stored answers, scoring key, recompute scripts
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/**
* 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 }
}