QC Recovery Certified Spiked Term Tool

Description

Calculate qc recovery certified spiked term from explicit caller-supplied inputs.

Quality records separate measured results, reference values, acceptance rules, and supporting evidence. Arithmetic consistency and record coverage can be checked against supplied criteria without establishing traceability, approving a method, or deciding product conformity.

Calculate qc recovery certified spiked term from explicit caller-supplied inputs.

When to use this tool

Use it for qc recovery certified spiked term when the required inputs and conventions are already available.

How to use the tool and how it works

Enter unspiked, spiked, added, certified. Use the stated units and boundary conventions.
Run the calculation. Correct any input error before interpreting a result.
Read spikeRecovery, certifiedRecovery, spikeExcess. Inspect any known, defined, inclusion, or boundary flags before interpreting numeric values.

Require positive added and certified values. Return spikeRecovery=(spiked-unspiked)/added, certifiedRecovery=unspiked/certified, and spikeExcess=spiked-unspiked-added.^[1]

Input field	Meaning and units	Accepted input
unspiked	Unspiked	Required. Finite number.
spiked	Spiked	Required. Finite number.
added	Added	Required. Finite number; strictly above 0.
certified	Certified	Required. Finite number; strictly above 0.

Output field	Interpretation	Returned shape
spikeRecovery	Spike Recovery	Required. Finite number.
certifiedRecovery	Certified Recovery	Required. Finite number.
spikeExcess	Spike Excess	Required. Finite number.

json

{
  "input": {
    "unspiked": 10,
    "spiked": 19,
    "added": 10,
    "certified": 12
  },
  "output": {
    "spikeRecovery": 0.9,
    "certifiedRecovery": 0.8333333333333334,
    "spikeExcess": -1
  }
}

Limitations and assumptions

Recoveries are fractions and may lie outside zero through one. Inputs must share a compatible concentration or amount basis; no acceptance threshold, dilution correction, or matrix-effect model is inferred.
The field tables describe structural bounds; the mechanics also state cross-field requirements. Malformed input shapes, disallowed keys, and invalid domains cause input errors. Results must remain finite and within the declared output contract. A successful false flag or zero placeholder is distinct from an error.
Numeric arithmetic uses binary floating point. Exact comparisons have no hidden tolerance or decimal rounding; negative zero is exported as zero. Decimal-text integer operations retain the exactness specifically stated above.

Alternative or Complementary methods

For qc recovery certified spiked term, check the source records and the supplied rule before comparing the result with another method. Use a separate evidence or method review when arithmetic consistency alone cannot establish the required conclusion.

References

Calculation and input contract: quality-control/qc-recovery-certified-spiked-term — tool.io

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