Recovery Percent Spiked Sample Standard Addition Calculator

Compute spike recovery after subtracting endogenous unspiked concentration; preserve negative discrepancies rather than clamp them.

Description

Compute spike recovery after subtracting endogenous unspiked concentration; preserve negative discrepancies rather than clamp them.

Spike recovery compares the measured increase after adding a known concentration with the amount added. Retaining the sign makes unexpected decreases visible rather than silently clamping them.

When to use this tool

Compute spike recovery after subtracting endogenous unspiked concentration; preserve negative discrepancies rather than clamp them.

  • Prepare the supplied unspikedConcentration, spikedMeasuredConcentration, addedConcentration fields for this operation.
  • Compare the complete example with the representation used by your own input before carrying the result into another step.

How to use the tool and how it works

  1. Enter unspikedConcentration, spikedMeasuredConcentration, addedConcentration. Use the exact text syntax, units and index conventions explained below.
  2. Run the tool. If input validation fails, correct the supplied fields before interpreting any result.
  3. Read result.signedRecoveryPercent. Interpret false, null and empty lists using the distinctions below; they can be valid outputs.

Require nonnegative unspiked/spiked measured concentrations and a positive added concentration. Return 100*(spikedMeasuredConcentration-unspikedConcentration)/addedConcentration.1

Input fieldMeaning and representationAccepted input
unspikedConcentrationunspiked concentration.Finite number; zero or greater
spikedMeasuredConcentrationspiked measured concentration.Finite number; zero or greater
addedConcentrationadded concentration.Finite number; greater than zero
Output fieldInterpretation
resultObject containing the named outputs below.
result.signedRecoveryPercentThe signed recovery percent value under the stated formula or text convention.
json
{
  "input": {
    "unspikedConcentration": 10,
    "spikedMeasuredConcentration": 14,
    "addedConcentration": 5
  },
  "output": {
    "result": {
      "signedRecoveryPercent": 80
    }
  }
}

Limitations and assumptions

  • Use compatible concentration units and account for dilution separately. Negative or above-100 results are retained; no calibration, matrix-effect model or acceptance decision is supplied.
  • Every declared top-level field is required and unexpected fields are rejected. Numeric inputs must be finite; ordinary text fields are bounded to 8,192 UTF-16 code units, with tighter operation-specific limits where stated.
  • Ordinary string lists have at most 128 entries of at most 128 code units each; numeric lists and matrices have separate bounded size checks. Nonfinite results and excessively large serialized outputs are rejected.
  • Indexes are zero-based and spans have an exclusive end unless explicitly stated otherwise. A valid false, null or empty-list result is distinct from malformed input.

Alternative or Complementary methods

Use method validation and appropriate calibration or dilution corrections alongside recovery arithmetic. Compare compatible concentration measurements, preserve unexpected signed results for investigation and choose acceptance criteria from the actual analytical method.

References

  1. Tool behavior and example: Recovery Percent Spiked Sample Standard Addition Calculator — tool.io

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