Neuropsych Percentile Calculator

Actual verified normative weighted midrank percentile with half ties, not assume Gaussian distribution, invent population norms, age-adjust automatically or infer IQ/diagnosis. Appropriate score direction, reference representativeness and instrument version independently reviewed.

Description

A neuropsychological percentile locates a raw score within a matched normative sample.

A neuropsychological percentile locates a raw score within a matched normative sample.1

Weighting and treatment of ties determine this tool's midrank convention.

When to use Neuropsych Percentile Calculator

Use this tool to calculate or review the supplied observations under the stated rules. Establish the assessment or recording protocol, units, instrument version and independently applicable reference or calibration.

How to use Neuropsych Percentile Calculator and understand its results

  1. Establish the assessment or recording protocol, units, instrument version and independently applicable reference or calibration.
  2. Enter callerVerifiedSource, callerVerifiedContext, callerVerifiedAsOfDate, callerMatchedNormativeScores, callerVerifiedNormativeWeights, independentlyObservedRawScore, using the field meanings and rules below, then run the tool.
  3. Read result.conditionalMatchedMidrankPercentile. Use the units and sign conventions below.
  4. Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
Input fieldMeaningValue typeRequirement
callerVerifiedSourceCaller verified source; supplied assertion, not independently verified; output retention depends on the rules belowstringRequired
callerVerifiedContextCaller verified context; supplied assertion, not independently verified; output retention depends on the rules belowstringRequired
callerVerifiedAsOfDateCaller verified as of date; real Gregorian YYYY-MM-DD date for the supplied recordstringRequired
callerMatchedNormativeScoresCaller matched normative scoreslist of numberRequired
callerVerifiedNormativeWeightsCaller verified normative weightslist of numberRequired
independentlyObservedRawScoreIndependently observed raw scorenumberRequired

Validate nonblank source/context and real Gregorian as-of date. Supply nonempty aligned finite normative scores and nonnegative weights with positive total. Sum weights of scores strictly lower than the observed score plus half the weights of exactly equal scores; divide by total weight and multiply by 100. No sorting, interpolation or normal-distribution assumption is needed. The output contains the percentile only, not the supplied provenance.

midrankPercentile=100×(Σ_lower weight+0.5×Σ_equal weight)/Σall weight

Use the matching field units and the exact boundary, ordering and reference rules above.

Output fieldMeaningValue type
resultStructured result; its nested fields below contain the actual calculation or selected referenceobject
result.conditionalMatchedMidrankPercentileWeighted empirical percentile giving half credit to reference scores exactly equal to the querynumber
json
{
  "input": {
    "callerVerifiedSource": "normative-study/edition",
    "callerVerifiedContext": "actual neuropsychological instrument, age/cohort, language and score direction",
    "callerVerifiedAsOfDate": "2026-01-01",
    "callerMatchedNormativeScores": [
      1,
      2,
      2,
      4
    ],
    "callerVerifiedNormativeWeights": [
      1,
      1,
      1,
      1
    ],
    "independentlyObservedRawScore": 2
  },
  "output": {
    "result": {
      "conditionalMatchedMidrankPercentile": 50
    }
  }
}

Limitations and assumptions

Actual acquisition, assessment protocol, instrument version and calibration determine applicability. The tool does not examine a person, classify images, administer a questionnaire or choose diagnostic cutoffs.

Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Lists and matrices must be dense, without missing cells. Numeric lists allow at most 10000 entries; ordinary string lists allow at most 128 strings of 128 UTF-16 units each; numeric matrices allow at most 128 rows and 128 columns, subject to narrower requirements above. Extremely large composite outputs are rejected.

Alternative or Complementary methods

For a related step, use IQ From Raw Score Calculator: IQ conversion from raw score requires an applicable instrument and normative calibration. For a complementary comparison, use Big Five Personality Score Calculator: Big Five scores depend on an adopted item-to-factor map and reverse key.

References

  1. Neuropsych Percentile Calculator — tool.io

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