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Ambient Blank Detection Limit Gap Tool

Report blank-corrected margins against a caller-established detection limit.

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Description

Return corrected = signal-blank and nominalMargin = corrected-suppliedLimit, with lowerMargin = nominalMargin-uncertainty and upperMargin = nominalMargin+uncertainty.

Environmental measurements can require background subtraction, recovery correction, calibration or a common reference basis. Corrected values can be signed; a numerical correction is separate from detection, analytical validity and health interpretation.

Return corrected = signal-blank and nominalMargin = corrected-suppliedLimit, with lowerMargin = nominalMargin-uncertainty and upperMargin = nominalMargin+uncertainty.

When to use this tool

Use Ambient Blank Detection Limit Gap when checking a supplied measurement correction, comparison or calibration term.

How to use the tool and how it works

  1. Enter signal, blank, suppliedLimit, uncertainty. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read corrected, nominalMargin, lowerMargin, upperMargin. Use the output convention below.

Require nonnegative uncertainty. Return corrected = signal-blank and nominalMargin = corrected-suppliedLimit, with lowerMargin = nominalMargin-uncertainty and upperMargin = nominalMargin+uncertainty. All values share the same signal or concentration unit.1

Input fieldMeaning and unitsAccepted input
signalSignalRequired. Finite number.
blankBlankRequired. Finite number.
suppliedLimitSupplied LimitRequired. Finite number.
uncertaintyUncertaintyRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
correctedCorrectedRequired. Finite number.
nominalMarginNominal MarginRequired. Finite number.
lowerMarginLower MarginRequired. Finite number.
upperMarginUpper MarginRequired. Finite number.
json
{
  "input": {
    "signal": 12,
    "blank": 2,
    "suppliedLimit": 8,
    "uncertainty": 1
  },
  "output": {
    "corrected": 10,
    "nominalMargin": 2,
    "lowerMargin": 1,
    "upperMargin": 3
  }
}

Limitations and assumptions

  • The uncertainty is a supplied symmetric half-width applied after subtraction, not a propagated uncertainty or confidence level. Negative corrected signals remain valid arithmetic outputs; a positive margin is not independently a detection or compliance finding.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use the relevant analytical method, quality-control records and uncertainty model before classifying a corrected measurement.

References

  1. Calculation and input contract: environmental-health/ambient-blank-detection-limit-gap — tool.io

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