Standardized Test Score Analyzer
ANA›Life Services Authority›National Calculator Authority›Standardized Test Score Analyzer
.calc-container { max-width: 640px; margin: 2rem 0; padding: 1.5rem; background: #fff; border: 1px solid #ddd; border-radius: 8px; box-shadow: 0 1px 3px rgba(0,0,0,0.06); font-family: system-ui, -apple-system, sans-serif; } .calc-container h3 { font-family: Georgia, serif; font-size: 1.15rem; color: #1a1a1a; margin-bottom: 1rem; padding-bottom: 0.5rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-row { display: flex; align-items: center; gap: 0.75rem; margin-bottom: 0.75rem; flex-wrap: wrap; } .calc-row label { min-width: 160px; font-size: 0.9rem; color: #333; font-weight: 500; } .calc-row input[type="number"], .calc-row select { flex: 1; min-width: 120px; max-width: 200px; padding: 0.5rem 0.6rem; border: 1px solid #ccc; border-radius: 4px; font-size: 0.9rem; font-family: system-ui, sans-serif; color: #1a1a1a; background: #fafaf8; } .calc-row input:focus, .calc-row select:focus { outline: none; border-color: var(--ac, #3d5a80); box-shadow: 0 0 0 2px rgba(26,74,138,0.12); } .calc-row .unit { font-size: 0.82rem; color: #888; min-width: 30px; } .calc-btn { display: inline-block; margin-top: 0.5rem; padding: 0.55rem 1.5rem; background: var(--ac, #3d5a80); color: #fff; border: none; border-radius: 4px; font-size: 0.9rem; font-weight: 600; cursor: pointer; font-family: system-ui, sans-serif; } .calc-btn:hover { opacity: 0.9; } .calc-result { margin-top: 1.25rem; padding: 1rem 1.25rem; background: #f0f6fc; border-left: 3px solid var(--ac, #3d5a80); border-radius: 0 6px 6px 0; display: none; } .calc-result.visible { display: block; } .calc-result-label { font-size: 0.78rem; text-transform: uppercase; letter-spacing: 0.06em; color: #666; margin-bottom: 0.25rem; } .calc-result-value { font-size: 1.6rem; font-weight: 700; color: var(--ac, #3d5a80); } .calc-result-detail { font-size: 0.85rem; color: #555; margin-top: 0.5rem; line-height: 1.5; } .calc-note { margin-top: 1rem; font-size: 0.8rem; color: #888; font-style: italic; } .calc-grid { display: grid; grid-template-columns: 1fr 1fr; gap: 0.75rem; margin-top: 0.75rem; } .calc-grid-item { padding: 0.6rem 0.8rem; background: #f8f9fa; border-radius: 4px; border: 1px solid #eee; } .calc-grid-item .label { font-size: 0.75rem; color: #888; text-transform: uppercase; letter-spacing: 0.04em; } .calc-grid-item .value { font-size: 1.1rem; font-weight: 600; color: #1a1a1a; } @media (max-width: 720px) { .calc-row { flex-direction: column; align-items: flex-start; gap: 0.3rem; } .calc-row label { min-width: auto; } .calc-row input[type="number"], .calc-row select { max-width: 100%; width: 100%; } .calc-grid { grid-template-columns: 1fr; } } .calc-chart { margin: 1rem 0; text-align: center; } .calc-chart svg { max-width: 100%; height: auto; } .calc-chart-legend { display: flex; flex-wrap: wrap; justify-content: center; gap: 0.6rem 1.2rem; margin-top: 0.6rem; font-size: 0.8rem; color: #555; } .calc-chart-legend span { display: inline-flex; align-items: center; gap: 0.3rem; } .calc-chart-legend i { display: inline-block; width: 10px; height: 10px; border-radius: 2px; font-style: normal; } .calc-related { max-width: 640px; margin: 2rem 0 1rem; padding: 1.25rem 1.5rem; background: #f8f9fa; border: 1px solid #e8e8e8; border-radius: 8px; } .calc-related h3 { font-family: Georgia, serif; font-size: 1rem; color: #1a1a1a; margin: 0 0 0.75rem; padding-bottom: 0.4rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-related-list { list-style: none; padding: 0; margin: 0 0 0.75rem; display: grid; grid-template-columns: 1fr 1fr; gap: 0.4rem 1.5rem; } .calc-related-list li a { font-size: 0.88rem; color: var(--ac, #3d5a80); text-decoration: none; } .calc-related-list li a:hover { text-decoration: underline; } .calc-browse-all { margin: 0.5rem 0 0; font-size: 0.9rem; font-weight: 600; } .calc-browse-all a { color: var(--ac, #3d5a80); text-decoration: none; } .calc-browse-all a:hover { text-decoration: underline; } @media (max-width: 720px) { .calc-related-list { grid-template-columns: 1fr; } }
Standardized Test Score Analyzer
Convert raw test scores into standardized metrics including z-scores, T-scores, percentile ranks, and stanines using population mean and standard deviation.
Raw Score
Population Mean (μ)
Population Std Dev (σ)
Max Possible Score (optional)
Analyze Score Results will appear here.
function staCalc() { const raw = parseFloat(document.getElementById('sta-raw').value); const mean = parseFloat(document.getElementById('sta-mean').value); const sd = parseFloat(document.getElementById('sta-sd').value); const maxV = parseFloat(document.getElementById('sta-max').value); const res = document.getElementById('sta-result');
if (isNaN(raw) || isNaN(mean) || isNaN(sd)) { res.innerHTML = 'Please enter Raw Score, Mean, and Standard Deviation.'; return; } if (sd Standard deviation must be greater than 0.'; return; } if (!isNaN(maxV) && maxV Max possible score must be positive.'; return; } if (!isNaN(maxV) && raw > maxV) { res.innerHTML = 'Raw score cannot exceed the maximum possible score.'; return; }
// Z-Score const z = (raw - mean) / sd;
// T-Score: T = 50 + 10 * z const tScore = 50 + 10 * z;
// Percentile rank via cumulative normal distribution (Hart approximation) function normCDF(x) { const a1 = 0.254829592; const a2 = -0.284496736; const a3 = 1.421413741; const a4 = -1.453152027; const a5 = 1.061405429; const p = 0.3275911; const sign = x 1.75 → 9 const stanineBounds = [-1.75, -1.25, -0.75, -0.25, 0.25, 0.75, 1.25, 1.75]; let stanine = 9; for (let i = 0; i 0) { const pctCorrect = (raw / maxV) * 100; pctCorrectRow = 'Percentage Correct' + pctCorrect.toFixed(2) + '%'; }
// Performance band let band = '', bandColor = ''; if (percentile >= 90) { band = 'Exceptional'; bandColor = '#27ae60'; } else if (percentile >= 75) { band = 'Above Average'; bandColor = '#2ecc71'; } else if (percentile >= 25) { band = 'Average'; bandColor = '#f39c12'; } else if (percentile >= 10) { band = 'Below Average'; bandColor = '#e67e22'; } else { band = 'Well Below Average'; bandColor = '#e74c3c'; }
res.innerHTML = '### Score Analysis Results ' + '' + 'MetricValue' + '' + 'Raw Score' + raw.toFixed(2) + '' + 'Z-Score' + z.toFixed(4) + '' + 'T-Score' + tScore.toFixed(2) + '' + 'Percentile Rank' + percentile.toFixed(2) + 'th' + 'Normal Curve Equivalent (NCE)' + nce.toFixed(2) + '' + 'Stanine' + stanine + ' — ' + stanineDesc[stanine - 1] + '' + pctCorrectRow + '' + '' + 'Performance Band: ' + '' + band + '' + '
'; }
#### Formulas Used
Z-Score: z = (X − μ) / σ
T-Score: T = 50 + 10 × z
Percentile Rank: P = Φ(z) × 100, where Φ is the standard normal CDF
Normal Curve Equivalent (NCE): NCE = 21.06 × z + 50
Stanine: 9-point scale derived from z-score boundaries (−1.75, −1.25, −0.75, −0.25, 0.25, 0.75, 1.25, 1.75)
Percentage Correct: (Raw Score / Max Score) × 100
#### Assumptions & References
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