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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>TM PCA Analyzer</title>
<link rel="icon" type="image/jpeg" href="https://raw.githubusercontent.com/millxing/TM/main/entangledParticlesLogo3.jpg">
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</head>
<body>
<div class="page">
<h1>Brookline Town Meeting PCA</h1>
<p class="subtitle">Principal component analysis of Brookline Town Meeting votes</p>
<section class="card">
<div class="controls-grid">
<div class="field">
<label for="first-session">First Session</label>
<select id="first-session"></select>
</div>
<div class="field">
<label for="last-session">Last Session</label>
<select id="last-session"></select>
</div>
<div class="field">
<label for="min-sessions">Minimum Sessions (member inclusion)</label>
<select id="min-sessions"></select>
</div>
<div class="field">
<label for="missing-strategy">NoVote / Missing Vote Treatment</label>
<select id="missing-strategy">
<option value="column-mean" selected>Impute with vote-column mean</option>
<option value="zero">Impute as neutral</option>
</select>
</div>
</div>
<div class="checks">
<label>
<input id="ignore-abstain" type="checkbox" checked>
Ignore abstain votes
</label>
<label>
<input id="ignore-terminate" type="checkbox" checked>
Ignore motions to terminate debate
</label>
</div>
<div class="run-actions">
<button id="run-analysis" class="primary" type="button">Run PCA</button>
<button id="export-pca" type="button">Export to Excel</button>
<a id="download-pca-plot-link" class="download-link hidden" href="#" download>Download plot PNG</a>
</div>
<div class="view-actions">
<span class="view-label">View:</span>
<button id="view-variance-btn" class="view-btn" type="button">Variance + Vote Coefficients</button>
<button id="view-scores-btn" class="view-btn" type="button">Member Scores</button>
<button id="view-plot-btn" class="view-btn active" type="button">PC1 vs PC2 Plot</button>
</div>
<div id="status" class="status">Loading session data...</div>
</section>
<section id="variance-view" class="card">
<h3>Variance Explained</h3>
<div class="variance-summary-row">
<div class="table-wrap compact-centered" style="max-height: 260px; margin-left: 0; margin-right: 0;">
<table id="variance-table">
<thead>
<tr>
<th>Component</th>
<th class="num">Variance %</th>
<th class="num">Cumulative %</th>
</tr>
</thead>
<tbody></tbody>
</table>
</div>
<p class="note variance-note">Residual is an aggregated remainder from components after PC5 and is reported as non-directional magnitude.</p>
</div>
<h3 class="vote-coeff-title">Vote Coefficients</h3>
<p class="note">Click a PC column header to sort by absolute value (descending).</p>
<div class="table-wrap">
<table id="coeff-table">
<thead>
<tr>
<th style="width: 120px;">Session</th>
<th style="width: 224px;">Vote Title</th>
<th style="width: 375px;">Vote Description</th>
<th style="width: 115px;">Vote Category</th>
<th class="num" style="width: 76px;" data-coeff-component="0">PC1</th>
<th class="num" style="width: 76px;" data-coeff-component="1">PC2</th>
<th class="num" style="width: 76px;" data-coeff-component="2">PC3</th>
<th class="num" style="width: 76px;" data-coeff-component="3">PC4</th>
<th class="num" style="width: 76px;" data-coeff-component="4">PC5</th>
</tr>
</thead>
<tbody></tbody>
</table>
</div>
</section>
<section id="scores-view" class="card">
<p class="note">Member scores are projections on PC1-PC5. Click a PC column header to sort.</p>
<div class="table-wrap compact-centered compact-left">
<table id="scores-table">
<thead>
<tr>
<th>Member</th>
<th style="width: 70px;">Precinct</th>
<th class="num" style="width: 80px;">Sessions</th>
<th class="num" style="width: 95px;" data-score-component="0">PC1</th>
<th class="num" style="width: 95px;" data-score-component="1">PC2</th>
<th class="num" style="width: 95px;" data-score-component="2">PC3</th>
<th class="num" style="width: 95px;" data-score-component="3">PC4</th>
<th class="num" style="width: 95px;" data-score-component="4">PC5</th>
</tr>
</thead>
<tbody></tbody>
</table>
</div>
</section>
<section id="plot-view" class="card active">
<p class="note">Scatter plot of member scores on the first two principal components.</p>
<div id="pc-plot-status" class="note"></div>
<div id="pc-plot" class="plot-wrap"></div>
</section>
</div>
<script src="tm-shared.js"></script>
<script>
/****************************************************
* GLOBAL STATE
****************************************************/
let memberAliasesLoadPromise = null;
let memberAliasesLoadComplete = false;
let memberIdentityAliases = new Map(DEFAULT_MEMBER_IDENTITY_ALIASES);
let memberIdentityCanonicalDisplayNames = new Map();
let voteGuideLoadPromise = null;
let voteGuideLoadComplete = false;
let voteGuideBySessionAndVote = new Map();
let voteGuideBySessionAndLooseVote = new Map();
let allSessionsCache = null;
let analysisState = null;
let coeffSortState = { componentIndex: 0 };
let memberScoresSortState = { componentIndex: 0, direction: 'desc' };
let latestPlotImageExport = null;
/****************************************************
* PCA-SPECIFIC HELPERS
****************************************************/
function extractArticleKeysFromTitle(title) {
const normalized = String(title || '')
.toLowerCase()
.replace(/\s+/g, ' ')
.trim();
const regex = /\barticle(?:s)?\s+([0-9]+[a-z]?)(?:\s*(?:and|,|&|-|to)\s*([0-9]+[a-z]?))?/ig;
const keys = [];
let match = regex.exec(normalized);
while (match) {
if (match[1]) keys.push(`article ${match[1]}`);
if (match[2]) keys.push(`article ${match[2]}`);
match = regex.exec(normalized);
}
return Array.from(new Set(keys));
}
function shouldInheritMainMotionDescription(title) {
const normalized = String(title || '').toLowerCase();
return (
normalized.includes('motion to refer') ||
normalized.includes('terminate debate') ||
normalized.includes('amendment')
);
}
function applyMainMotionDescriptionFallback(votes) {
if (!Array.isArray(votes) || votes.length === 0) return;
const mainDescriptionByArticle = new Map();
votes.forEach(vote => {
const title = String(vote && vote.title ? vote.title : '');
const description = String(vote && vote.description ? vote.description : '').trim();
if (!title || !description) return;
if (!title.toLowerCase().includes('main motion')) return;
const articleKeys = extractArticleKeysFromTitle(title);
articleKeys.forEach(articleKey => {
if (!articleKey || mainDescriptionByArticle.has(articleKey)) return;
mainDescriptionByArticle.set(articleKey, description);
});
});
votes.forEach(vote => {
if (!vote) return;
const existingDescription = String(vote.description || '').trim();
if (existingDescription) return;
if (!shouldInheritMainMotionDescription(vote.title)) return;
const articleKeys = extractArticleKeysFromTitle(vote.title);
if (articleKeys.length === 0) return;
const fallbackDescription = articleKeys
.map(key => mainDescriptionByArticle.get(key))
.find(value => !!value);
if (fallbackDescription) vote.description = fallbackDescription;
});
}
function isRecordedVoteValue(voteValue) {
return voteValue === 'YES' || voteValue === 'NO' || voteValue === 'ABSTAIN';
}
function memberCastRecordedVote(votesById) {
return Object.values(votesById || {}).some(voteValue => isRecordedVoteValue(voteValue));
}
function formatPrecinctLabel(precinct) {
const up = String(precinct || '').toUpperCase();
if (!up) return '';
if (up === 'AL') return 'AL';
return String(precinct);
}
function formatFloat(value, digits = 2) {
const num = Number(value);
if (!Number.isFinite(num)) return '';
return num.toFixed(digits);
}
function roundNumber(value, digits = 2) {
const num = Number(value);
if (!Number.isFinite(num)) return null;
return Number(num.toFixed(digits));
}
function parseVoteGuideRows(rows) {
const index = new Map();
const looseIndex = new Map();
if (!Array.isArray(rows) || rows.length < 2) return { index, looseIndex };
const headers = (rows[0] || []).map(cell => String(cell || '').trim().toLowerCase());
const sessionCol = headers.findIndex(header => header === 'town meeting session');
const voteCol = headers.findIndex(header => header === 'vote' || header === 'vote title');
const descriptionCol = headers.findIndex(header => header === 'description');
const categoryCol = headers.findIndex(header => header === 'category');
if (sessionCol < 0 || voteCol < 0) return { index, looseIndex };
const mergeWithinFile = (existing, incoming) => {
if (!existing) return incoming;
const existingDesc = String(existing.description || '').trim();
const incomingDesc = String(incoming.description || '').trim();
const description = incomingDesc.length > existingDesc.length ? incomingDesc : existingDesc;
const category = String(existing.category || '').trim() || String(incoming.category || '').trim();
return { description, category };
};
for (let r = 1; r < rows.length; r++) {
const row = rows[r] || [];
const sessionLabel = String(row[sessionCol] || '').trim();
const voteTitle = String(row[voteCol] || '').trim();
const description = descriptionCol >= 0 ? String(row[descriptionCol] || '').trim() : '';
const category = categoryCol >= 0 ? String(row[categoryCol] || '').trim() : '';
if (!sessionLabel || !voteTitle) continue;
if (!description && !category) continue;
const sessionId = getSessionIdFromGuideLabel(sessionLabel);
if (!sessionId) continue;
const key = buildVoteGuideKey(sessionId, voteTitle);
const looseKey = buildLooseVoteGuideKey(sessionId, voteTitle);
const incoming = { description, category };
index.set(key, mergeWithinFile(index.get(key), incoming));
looseIndex.set(looseKey, mergeWithinFile(looseIndex.get(looseKey), incoming));
}
return { index, looseIndex };
}
function mergeVoteGuideMetadataMaps(targetMap, incomingMap, preferExistingDescription = false) {
incomingMap.forEach((incomingValue, key) => {
const existing = targetMap.get(key) || { description: '', category: '' };
const incoming = incomingValue || { description: '', category: '' };
const existingDescription = String(existing.description || '').trim();
const incomingDescription = String(incoming.description || '').trim();
const mergedDescription = preferExistingDescription
? (existingDescription || incomingDescription)
: (incomingDescription || existingDescription);
const mergedCategory = String(existing.category || '').trim() || String(incoming.category || '').trim();
if (mergedDescription || mergedCategory) {
targetMap.set(key, {
description: mergedDescription,
category: mergedCategory
});
}
});
}
function buildAuxiliarySpreadsheetCandidateFiles(fileNames) {
const candidateSet = new Set();
fileNames.forEach(name => {
candidateSet.add(`Votes/${name}`);
candidateSet.add(`Vote/${name}`);
candidateSet.add(name);
});
return Array.from(candidateSet);
}
function buildPrimaryVoteMetadataCandidateFiles() {
return buildAuxiliarySpreadsheetCandidateFiles(PRIMARY_VOTE_METADATA_FILE_NAMES);
}
function buildVoteGuideCandidateFiles() {
return buildAuxiliarySpreadsheetCandidateFiles(VOTE_GUIDE_FILE_NAMES);
}
async function ensureVoteGuideLoaded() {
if (voteGuideLoadComplete) return;
if (voteGuideLoadPromise) {
await voteGuideLoadPromise;
return;
}
voteGuideLoadPromise = (async () => {
const mergedIndex = new Map();
const mergedLooseIndex = new Map();
let loadedAnyFile = false;
const loadPlans = [
{
files: buildPrimaryVoteMetadataCandidateFiles(),
preferExistingDescription: false
},
{
files: buildVoteGuideCandidateFiles(),
preferExistingDescription: true
}
];
for (const plan of loadPlans) {
for (const guideFile of plan.files) {
try {
const response = await fetch(getSpreadsheetRawURL(guideFile));
if (!response.ok) continue;
const arrayBuffer = await response.arrayBuffer();
const workbook = XLSX.read(arrayBuffer, { type: 'array' });
const sheetName = workbook.SheetNames[0];
const sheet = workbook.Sheets[sheetName];
const rows = XLSX.utils.sheet_to_json(sheet, {
header: 1,
blankrows: false,
defval: ''
});
const parsed = parseVoteGuideRows(rows);
if (parsed.index.size === 0) continue;
mergeVoteGuideMetadataMaps(mergedIndex, parsed.index, plan.preferExistingDescription);
mergeVoteGuideMetadataMaps(mergedLooseIndex, parsed.looseIndex, plan.preferExistingDescription);
loadedAnyFile = true;
break;
} catch (err) {
void err;
}
}
}
voteGuideBySessionAndVote = loadedAnyFile ? mergedIndex : new Map();
voteGuideBySessionAndLooseVote = loadedAnyFile ? mergedLooseIndex : new Map();
voteGuideLoadComplete = true;
})();
try {
await voteGuideLoadPromise;
} finally {
voteGuideLoadPromise = null;
}
}
/****************************************************
* ALIAS FILE LOAD
****************************************************/
function buildMemberAliasesCandidateFiles() {
const candidateSet = new Set();
MEMBER_ALIASES_FILE_NAMES.forEach(name => {
candidateSet.add(`Votes/${name}`);
candidateSet.add(`Vote/${name}`);
candidateSet.add(name);
});
return Array.from(candidateSet);
}
async function ensureMemberAliasesLoaded() {
if (memberAliasesLoadComplete) return;
if (memberAliasesLoadPromise) {
await memberAliasesLoadPromise;
return;
}
memberAliasesLoadPromise = (async () => {
const candidateFiles = buildMemberAliasesCandidateFiles();
for (const aliasFile of candidateFiles) {
try {
const response = await fetch(getSpreadsheetRawURL(aliasFile));
if (!response.ok) continue;
const arrayBuffer = await response.arrayBuffer();
const workbook = XLSX.read(arrayBuffer, { type: 'array' });
const sheetName = workbook.SheetNames[0];
const sheet = workbook.Sheets[sheetName];
const rows = XLSX.utils.sheet_to_json(sheet, {
header: 1,
blankrows: false,
defval: ''
});
const parsedAliases = parseMemberAliasesRows(rows);
if (parsedAliases.aliasMap.size === 0) continue;
const mergedAliases = new Map(DEFAULT_MEMBER_IDENTITY_ALIASES);
parsedAliases.aliasMap.forEach((canonical, alias) => mergedAliases.set(alias, canonical));
memberIdentityAliases = mergedAliases;
memberIdentityCanonicalDisplayNames = parsedAliases.canonicalDisplayNames;
memberAliasesLoadComplete = true;
return;
} catch (err) {
void err;
}
}
memberAliasesLoadComplete = true;
})();
try {
await memberAliasesLoadPromise;
} finally {
memberAliasesLoadPromise = null;
}
}
/****************************************************
* SPREADSHEET PARSING
****************************************************/
function parseRowsToSession(rows, sessionMeta) {
if (!rows || rows.length <= HEADER_ROW_INDEX) {
throw new Error(`${sessionMeta.label}: spreadsheet missing expected rows.`);
}
const titleRow = rows[TITLE_ROW_INDEX] || [];
const descriptionRow = rows[DESCRIPTION_ROW_INDEX] || [];
const defaultHeaderRow = rows[HEADER_ROW_INDEX] || [];
const possibleAltHeaderRow = rows[DESCRIPTION_ROW_INDEX] || [];
const hasHeaderLabels = row =>
String(row[PRECINCT_COL_INDEX] || '').trim().toUpperCase() === 'PRECINCT' &&
String(row[NAME_COL_INDEX] || '').trim().toUpperCase() === 'NAME';
const looksLikeDataRow = row => {
const precinct = String(row[PRECINCT_COL_INDEX] || '').trim();
const name = String(row[NAME_COL_INDEX] || '').trim();
const upperPrecinct = precinct.toUpperCase();
const precinctNum = parseInt(precinct, 10);
const isNumericPrecinct = !Number.isNaN(precinctNum);
const isAL = upperPrecinct === 'AL';
return !!name && (isNumericPrecinct || isAL);
};
let effectiveHeaderRowIndex = HEADER_ROW_INDEX;
let effectiveFirstDataRowIndex = FIRST_DATA_ROW_INDEX;
if (
!hasHeaderLabels(defaultHeaderRow) &&
hasHeaderLabels(possibleAltHeaderRow) &&
looksLikeDataRow(defaultHeaderRow)
) {
effectiveHeaderRowIndex = DESCRIPTION_ROW_INDEX;
effectiveFirstDataRowIndex = HEADER_ROW_INDEX;
}
const headerRow = rows[effectiveHeaderRowIndex] || [];
const maxPossibleCol = Math.max(titleRow.length, headerRow.length);
let lastVoteColIndex = FIRST_VOTE_COL_INDEX;
for (let col = FIRST_VOTE_COL_INDEX; col < maxPossibleCol; col++) {
const possibleTitle = String(titleRow[col] || headerRow[col] || '').trim();
if (possibleTitle) lastVoteColIndex = col;
}
const parsedVotes = [];
for (let col = FIRST_VOTE_COL_INDEX; col <= lastVoteColIndex; col++) {
const title = String(titleRow[col] || headerRow[col] || '').trim();
if (!title) continue;
const descriptionFromSheet = effectiveHeaderRowIndex === DESCRIPTION_ROW_INDEX
? ''
: String(descriptionRow[col] || '').trim();
const guideDetails = getVoteGuideDetails(sessionMeta.id, title);
const descriptionFromGuide = guideDetails ? String(guideDetails.description || '').trim() : '';
const categoryFromGuide = guideDetails ? String(guideDetails.category || '').trim() : '';
parsedVotes.push({
id: `${sessionMeta.id}::${col}`,
sessionId: sessionMeta.id,
sessionLabel: sessionMeta.label,
title,
description: descriptionFromGuide || descriptionFromSheet,
category: categoryFromGuide,
colIndex: col,
isTerminateDebate: isTerminateDebateVote(title)
});
}
// Keep motion variants interpretable: if refer/terminate/amendment rows have no
// description, inherit the same article's main-motion description.
applyMainMotionDescriptionFallback(parsedVotes);
const canonicalMembers = {};
for (let r = effectiveFirstDataRowIndex; r < rows.length; r++) {
const row = rows[r] || [];
const name = String(row[NAME_COL_INDEX] || '').trim();
const precinct = String(row[PRECINCT_COL_INDEX] || '').trim();
if (!name && !precinct) continue;
if (!name) continue;
const upperName = name.toUpperCase();
if (DISALLOWED_MEMBER_NAMES.has(upperName) || upperName.startsWith('TOTAL')) continue;
const upperPrecinct = precinct.toUpperCase();
const precinctNum = parseInt(precinct, 10);
const isNumericPrecinct = !Number.isNaN(precinctNum);
const isAL = upperPrecinct === 'AL';
if (!isNumericPrecinct && !isAL) continue;
const canonicalKey = canonicalMemberKey(name, precinct);
const voteMapById = {};
parsedVotes.forEach(vote => {
voteMapById[vote.id] = normalizeVote(row[vote.colIndex]);
});
const canonicalDisplayName = memberIdentityCanonicalDisplayNames.get(canonicalKey) || name;
if (!canonicalMembers[canonicalKey]) {
canonicalMembers[canonicalKey] = {
name: canonicalDisplayName,
precinct,
votesById: voteMapById
};
} else {
const existing = canonicalMembers[canonicalKey];
existing.name = memberIdentityCanonicalDisplayNames.get(canonicalKey) ||
preferDisplayName(existing.name, name);
if (String(existing.precinct || '').toUpperCase() !== 'AL' && upperPrecinct === 'AL') {
existing.precinct = precinct;
} else if (!existing.precinct && precinct) {
existing.precinct = precinct;
}
Object.entries(voteMapById).forEach(([voteId, voteValue]) => {
const existingVote = existing.votesById[voteId];
if (existingVote === undefined || existingVote === 'NoVote') {
existing.votesById[voteId] = voteValue;
}
});
}
}
return {
id: sessionMeta.id,
label: sessionMeta.label,
file: sessionMeta.file,
votes: parsedVotes,
canonicalMembers
};
}
function parseWorkbookArrayBuffer(arrayBuffer, sessionMeta) {
const workbook = XLSX.read(arrayBuffer, { type: 'array' });
const sheetName = workbook.SheetNames[0];
const sheet = workbook.Sheets[sheetName];
const rows = XLSX.utils.sheet_to_json(sheet, {
header: 1,
blankrows: false,
defval: ''
});
return parseRowsToSession(rows, sessionMeta);
}
async function fetchAndParseSession(sessionMeta) {
const response = await fetch(getSpreadsheetRawURL(sessionMeta.file));
if (!response.ok) {
throw new Error(`${sessionMeta.label}: HTTP ${response.status} ${response.statusText}`);
}
const arrayBuffer = await response.arrayBuffer();
return parseWorkbookArrayBuffer(arrayBuffer, sessionMeta);
}
async function ensureAllSessionsLoaded() {
if (allSessionsCache) return allSessionsCache;
await ensureMemberAliasesLoaded();
await ensureVoteGuideLoaded();
const statusEl = document.getElementById('status');
const total = SESSION_FILES.length;
let loaded = 0;
if (statusEl) statusEl.textContent = `Loading sessions (0 of ${total})...`;
const results = [];
for (const session of SESSION_FILES) {
const parsed = await fetchAndParseSession(session);
results.push(parsed);
loaded += 1;
if (statusEl) statusEl.textContent = `Loading sessions (${loaded} of ${total})...`;
}
allSessionsCache = results;
return allSessionsCache;
}
/****************************************************
* PCA COMPUTATION
****************************************************/
function computeTopComponents(matrix, topK = 5) {
const rowCount = matrix.length;
const colCount = rowCount > 0 ? matrix[0].length : 0;
if (rowCount === 0 || colCount === 0) return { error: 'Not enough data to run PCA.' };
const colMeans = Array(colCount).fill(0);
for (let c = 0; c < colCount; c++) {
let sum = 0;
for (let r = 0; r < rowCount; r++) sum += matrix[r][c];
colMeans[c] = sum / rowCount;
}
const centered = matrix.map(row => row.map((value, idx) => value - colMeans[idx]));
const covariance = buildCovarianceMatrix(centered);
const totalVariance = covariance.reduce((sum, row, idx) => sum + row[idx], 0);
const components = [];
let working = covariance;
const maxComponents = Math.min(topK, colCount);
for (let k = 0; k < maxComponents; k++) {
const iter = powerIteration(working);
if (!iter || !Number.isFinite(iter.eigenvalue)) break;
const eigenvalue = Math.max(0, iter.eigenvalue);
if (eigenvalue < 1e-12) break;
components.push({
vector: iter.vector,
eigenvalue
});
working = deflateMatrix(working, iter.vector, eigenvalue);
}
const vectors = [];
const eigenvalues = [];
for (let i = 0; i < topK; i++) {
if (i < components.length) {
vectors.push(components[i].vector);
eigenvalues.push(components[i].eigenvalue);
} else {
vectors.push(Array(colCount).fill(0));
eigenvalues.push(0);
}
}
const scoresTopK = centered.map(row => vectors.map(vec => dotProduct(row, vec)));
const usedVariance = eigenvalues.reduce((sum, v) => sum + Math.max(0, v), 0);
const remainderVariance = Math.max(0, totalVariance - usedVariance);
// Aggregate the remainder as a magnitude-based pseudo-component.
const remainderLoading = Array(colCount).fill(0);
if (remainderVariance > 1e-12) {
for (let j = 0; j < colCount; j++) {
const residualDiag = Math.max(0, working[j][j]);
remainderLoading[j] = Math.sqrt(residualDiag / remainderVariance);
}
}
const scoresRemainder = centered.map((row, rowIndex) => {