IQ From Raw Score Calculator

Interpolate independently verified actual age/cohort/instrument matched raw-score to IQstandard-score conversion reference knots, strictly increasing callerVerifiedRawScoreKnots with same-unit callerVerifiedIqScoreKnots. No extrapolation, universal norm or inferred biological age/individual outcome. The caller establishes cohort, measurement/calibration, applicable edition and uncertainty; illustrative knots are not authoritative reference data.

Description

IQ conversion from raw score requires an applicable instrument and normative calibration.

IQ conversion from raw score requires an applicable instrument and normative calibration.1

A supplied interpolation table does not create universal IQ norms.

When to use IQ From Raw Score Calculator

Use this tool to interpolate the supplied applicable reference knots. Establish the assessment or recording protocol, units, instrument version and independently applicable reference or calibration.

How to use IQ From Raw Score 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, callerVerifiedRawScoreKnots, callerVerifiedIqScoreKnots, observedQueryCoordinate, using the field meanings and rules below, then run the tool.
  3. Read result.conditionalInterpolatedValue, result.source, result.context, result.asOfDate. 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
callerVerifiedRawScoreKnotsCaller verified raw score knotslist of numberRequired
callerVerifiedIqScoreKnotsCaller verified iq score knotslist of numberRequired
observedQueryCoordinateObserved query coordinate; use the exact reference token or coordinate domain stated belownumberRequired

Supply a nonblank source and context, each at most 1024 UTF-16 units, and a valid Gregorian as-of date. Enter at least two aligned finite callerVerifiedRawScoreKnots and callerVerifiedIqScoreKnots values. The first list must be strictly increasing; the query must lie between its first and last knots, including endpoints. Find the enclosing pair and interpolate the second coordinate linearly, returning its supplied unit and the caller source context. This helper does not require positive values, monotone response values or percentile values in 0–100, even for percentile-named tools. Knots, units and reference suitability must be independently checked.

y(q)=y_j+(q−x_j)×(y_(j+1)−y_j)/(x_(j+1)−x_j), x=callerVerifiedRawScoreKnots, y=callerVerifiedIqScoreKnots

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.conditionalInterpolatedValueSecond-coordinate value on the supplied curve at the query coordinate, in that curve's stated unitsnumber
result.sourceCaller source assertion copied unchanged, without independent verificationstring
result.contextCaller applicability context copied unchanged, without independent verificationstring
result.asOfDateCaller reference date copied unchanged after Gregorian date validationstring
json
{
  "input": {
    "callerVerifiedSource": "independently-reviewed-reference/edition",
    "callerVerifiedContext": "age/cohort/instrument matched raw-score to IQstandard-score conversion; verified cohort, protocol, units and applicability",
    "callerVerifiedAsOfDate": "2026-01-01",
    "callerVerifiedRawScoreKnots": [
      10,
      20
    ],
    "callerVerifiedIqScoreKnots": [
      90,
      110
    ],
    "observedQueryCoordinate": 15
  },
  "output": {
    "result": {
      "conditionalInterpolatedValue": 100,
      "source": "independently-reviewed-reference/edition",
      "context": "age/cohort/instrument matched raw-score to IQstandard-score conversion; verified cohort, protocol, units and applicability",
      "asOfDate": "2026-01-01"
    }
  }
}

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. Interpolation does not support extrapolation or replace a protocol-specific physical model.

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 White Matter Volume Age Calculator: White-matter volume can be described against age using an applicable imaging reference. For a complementary comparison, use Gray Matter Volume Age Calculator: Gray-matter volume references relate a defined segmentation measure to age.

References

  1. IQ From Raw Score Calculator — tool.io

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