class PValueCorrection { static seqLen(start, end) { let result; if (start === end) { result = new Array(end + 1); for (let i = 0; i < result.length; ++i) { result[i] = i + 1; } } else if (start < end) { result = new Array(end - start + 1); for (let i = 0; i < result.length; ++i) { result[i] = start + i; } } else { result = new Array(start - end + 1); for (let i = 0; i < result.length; ++i) { result[i] = start - i; } } return result; } static order(array, decreasing) { const size = array.length; const idx = new Array(size); const baseArr = new Array(size); for (let i = 0; i < size; ++i) { baseArr[i] = array[i]; idx[i] = i; } idx.sort((a, b) => { if (!decreasing) { return baseArr[a] - baseArr[b]; } else { return baseArr[b] - baseArr[a]; } }); return idx; } static cummin(array) { if (array.length < 1) throw new Error("cummin requires at least one element"); const output = new Array(array.length); let cumulativeMin = array[0]; for (let i = 0; i < array.length; ++i) { if (array[i] < cumulativeMin) cumulativeMin = array[i]; output[i] = cumulativeMin; } return output; } static cummax(array) { if (array.length < 1) throw new Error("cummax requires at least one element"); const output = new Array(array.length); let cumulativeMax = array[0]; for (let i = 0; i < array.length; ++i) { if (array[i] > cumulativeMax) cumulativeMax = array[i]; output[i] = cumulativeMax; } return output; } static pminx(array, x) { if (array.length < 1) throw new Error("pmin requires at least one element"); const result = new Array(array.length); for (let i = 0; i < array.length; ++i) { result[i] = array[i] < x ? array[i] : x; } return result; } static doubleSay(array) { process.stdout.write(`[ 1] ${array[0].toExponential()}`); for (let i = 1; i < array.length; ++i) { process.stdout.write(` ${array[i].toFixed(10)}`); if ((i + 1) % 5 === 0) process.stdout.write(`\n[${(i + 1).toString().padStart(2, ' ')}]`); } console.log(); } static intToDouble(array) { const result = new Array(array.length); for (let i = 0; i < array.length; i++) { result[i] = array[i]; } return result; } static doubleArrayMin(array) { if (array.length < 1) throw new Error("pAdjust requires at least one element"); return Math.min(...array); } static pAdjust(pvalues, str) { const size = pvalues.length; if (size < 1) throw new Error("pAdjust requires at least one element"); let type; switch (str.toLowerCase()) { case "bh": case "fdr": type = 0; break; case "by": type = 1; break; case "bonferroni": type = 2; break; case "hochberg": type = 3; break; case "holm": type = 4; break; case "hommel": type = 5; break; default: throw new Error(`${str} doesn't match any accepted FDR types`); } if (type === 2) { // Bonferroni method const result = new Array(size); for (let i = 0; i < size; ++i) { const b = pvalues[i] * size; result[i] = b >= 1 ? 1 : (0 <= b && b < 1 ? b : (() => { throw new Error(`${b} is outside [0, 1)`); })()); } return result; } else if (type === 4) { // Holm method const o = this.order(pvalues, false); const o2Double = this.intToDouble(o); const cummaxInput = new Array(size); for (let i = 0; i < size; ++i) { cummaxInput[i] = (size - i) * pvalues[o[i]]; } const ro = this.order(o2Double, false); const cummaxOutput = this.cummax(cummaxInput); const pmin = this.pminx(cummaxOutput, 1.0); const result = new Array(size); for (let i = 0; i < size; ++i) { result[i] = pmin[ro[i]]; } return result; } else if (type === 5) { // Hommel method const indices = this.seqLen(size, size); const o = this.order(pvalues, false); const p = new Array(size); for (let i = 0; i < size; ++i) { p[i] = pvalues[o[i]]; } const o2Double = this.intToDouble(o); const ro = this.order(o2Double, false); const q = new Array(size).fill(0); const pa = new Array(size).fill(0); const npi = new Array(size); for (let i = 0; i < size; ++i) { npi[i] = p[i] * size / indices[i]; } const min = this.doubleArrayMin(npi); q.fill(min); pa.fill(min); for (let j = size; j >= 2; --j) { const ij = this.seqLen(1, size - j + 1).map(x => x - 1); const i2Length = j - 1; const i2 = new Array(i2Length); for (let i = 0; i < i2Length; ++i) { i2[i] = size - j + 2 + i - 1; } let q1 = j * p[i2[0]] / 2.0; for (let i = 1; i < i2Length; ++i) { const temp_q1 = p[i2[i]] * j / (2.0 + i); if (temp_q1 < q1) q1 = temp_q1; } for (let i = 0; i < size - j + 1; ++i) { q[ij[i]] = Math.min(p[ij[i]] * j, q1); } for (let i = 0; i < i2Length; ++i) { q[i2[i]] = q[size - j]; } for (let i = 0; i < size; ++i) { if (pa[i] < q[i]) { pa[i] = q[i]; } } } const result = new Array(size); for (let i = 0; i < size; ++i) { result[i] = pa[ro[i]]; } return result; } const ni = new Array(size); const o = this.order(pvalues, true); const oDouble = this.intToDouble(o); for (let i = 0; i < size; ++i) { if (pvalues[i] < 0 || pvalues[i] > 1) { throw new Error(`array[${i}] = ${pvalues[i]} is outside [0, 1]`); } ni[i] = size / (size - i); } const ro = this.order(oDouble, false); const cumminInput = new Array(size); if (type === 0) { // BH method for (let i = 0; i < size; ++i) { cumminInput[i] = ni[i] * pvalues[o[i]]; } } else if (type === 1) { // BY method let q = 0; for (let i = 1; i < size + 1; ++i) { q += 1.0 / i; } for (let i = 0; i < size; ++i) { cumminInput[i] = q * ni[i] * pvalues[o[i]]; } } else if (type === 3) { // Hochberg method for (let i = 0; i < size; ++i) { cumminInput[i] = (i + 1) * pvalues[o[i]]; } } const cumminArray = this.cummin(cumminInput); const pmin = this.pminx(cumminArray, 1.0); const result = new Array(size); for (let i = 0; i < size; ++i) { result[i] = pmin[ro[i]]; } return result; } } // Example usage (similar to Java's main method) const pvalues = [ 4.533744e-01, 7.296024e-01, 9.936026e-02, 9.079658e-02, 1.801962e-01, 8.752257e-01, 2.922222e-01, 9.115421e-01, 4.355806e-01, 5.324867e-01, 4.926798e-01, 5.802978e-01, 3.485442e-01, 7.883130e-01, 2.729308e-01, 8.502518e-01, 4.268138e-01, 6.442008e-01, 3.030266e-01, 5.001555e-02, 3.194810e-01, 7.892933e-01, 9.991834e-01, 1.745691e-01, 9.037516e-01, 1.198578e-01, 3.966083e-01, 1.403837e-02, 7.328671e-01, 6.793476e-02, 4.040730e-03, 3.033349e-04, 1.125147e-02, 2.375072e-02, 5.818542e-04, 3.075482e-04, 8.251272e-03, 1.356534e-03, 1.360696e-02, 3.764588e-04, 1.801145e-05, 2.504456e-07, 3.310253e-02, 9.427839e-03, 8.791153e-04, 2.177831e-04, 9.693054e-04, 6.610250e-05, 2.900813e-02, 5.735490e-03 ]; const correctAnswers = [ [ // Benjamini-Hochberg 6.126681e-01, 8.521710e-01, 1.987205e-01, 1.891595e-01, 3.217789e-01, 9.301450e-01, 4.870370e-01, 9.301450e-01, 6.049731e-01, 6.826753e-01, 6.482629e-01, 7.253722e-01, 5.280973e-01, 8.769926e-01, 4.705703e-01, 9.241867e-01, 6.049731e-01, 7.856107e-01, 4.887526e-01, 1.136717e-01, 4.991891e-01, 8.769926e-01, 9.991834e-01, 3.217789e-01, 9.301450e-01, 2.304958e-01, 5.832475e-01, 3.899547e-02, 8.521710e-01, 1.476843e-01, 1.683638e-02, 2.562902e-03, 3.516084e-02, 6.250189e-02, 3.636589e-03, 2.562902e-03, 2.946883e-02, 6.166064e-03, 3.899547e-02, 2.688991e-03, 4.502862e-04, 1.252228e-05, 7.881555e-02, 3.142613e-02, 4.846527e-03, 2.562902e-03, 4.846527e-03, 1.101708e-03, 7.252032e-02, 2.205958e-02 ], [ // Benjamini & Yekutieli 1.000000e+00, 1.000000e+00, 8.940844e-01, 8.510676e-01, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 5.114323e-01, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.754486e-01, 1.000000e+00, 6.644618e-01, 7.575031e-02, 1.153102e-02, 1.581959e-01, 2.812089e-01, 1.636176e-02, 1.153102e-02, 1.325863e-01, 2.774239e-02, 1.754486e-01, 1.209832e-02, 2.025930e-03, 5.634031e-05, 3.546073e-01, 1.413926e-01, 2.180552e-02, 1.153102e-02, 2.180552e-02, 4.956812e-03, 3.262838e-01, 9.925057e-02 ], [ // Bonferroni 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 7.019185e-01, 1.000000e+00, 1.000000e+00, 2.020365e-01, 1.516674e-02, 5.625735e-01, 1.000000e+00, 2.909271e-02, 1.537741e-02, 4.125636e-01, 6.782670e-02, 6.803480e-01, 1.882294e-02, 9.005725e-04, 1.252228e-05, 1.000000e+00, 4.713920e-01, 4.395577e-02, 1.088915e-02, 4.846527e-02, 3.305125e-03, 1.000000e+00, 2.867745e-01 ], [ // Hochberg 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 4.632662e-01, 9.991834e-01, 9.991834e-01, 1.575885e-01, 1.383967e-02, 3.938014e-01, 7.600230e-01, 2.501973e-02, 1.383967e-02, 3.052971e-01, 5.426136e-02, 4.626366e-01, 1.656419e-02, 8.825610e-04, 1.252228e-05, 9.930759e-01, 3.394022e-01, 3.692284e-02, 1.023581e-02, 3.974152e-02, 3.172920e-03, 8.992520e-01, 2.179486e-01 ], [ // Holm 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 1.000000e+00, 4.632662e-01, 1.000000e+00, 1.000000e+00, 1.575885e-01, 1.395341e-02, 3.938014e-01, 7.600230e-01, 2.501973e-02, 1.395341e-02, 3.052971e-01, 5.426136e-02, 4.626366e-01, 1.656419e-02, 8.825610e-04, 1.252228e-05, 9.930759e-01, 3.394022e-01, 3.692284e-02, 1.023581e-02, 3.974152e-02, 3.172920e-03, 8.992520e-01, 2.179486e-01 ], [ // Hommel 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.987624e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.595180e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 9.991834e-01, 4.351895e-01, 9.991834e-01, 9.766522e-01, 1.414256e-01, 1.304340e-02, 3.530937e-01, 6.887709e-01, 2.385602e-02, 1.322457e-02, 2.722920e-01, 5.426136e-02, 4.218158e-01, 1.581127e-02, 8.825610e-04, 1.252228e-05, 8.743649e-01, 3.016908e-01, 3.516461e-02, 9.582456e-03, 3.877222e-02, 3.172920e-03, 8.122276e-01, 1.950067e-01 ] ]; const types = ["bh", "by", "bonferroni", "hochberg", "holm", "hommel"]; for (let type = 0; type < types.length; ++type) { const q = PValueCorrection.pAdjust(pvalues, types[type]); let error = 0.0; for (let i = 0; i < pvalues.length; ++i) { error += Math.abs(q[i] - correctAnswers[type][i]); } PValueCorrection.doubleSay(q); console.log(`\ntype ${type} = '${types[type]}' has a cumulative error of ${error}`); }